{"id": "python/three_independent_target/0/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -13}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 80, -56, 47, -10, -81, -21, 69, -71, -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\nDefine task_3_input = {\"result\": [-97, -16, 32, 28, -94, 19, 76, -57, 77, -1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[76,19,-1]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-45,80,-56,47,-10,-81,-21,69,-71,-95]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[76,19,-1]}]"} {"id": "python/three_independent_target/0/1", "category": "python", "topology": "three_independent_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\": 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 = [-91, -41, -22, 44, 79, 15, -20, -33, 75, -43].\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\nDefine task_2_input = {\"result\": [69, -81, 31, 47, 77, 33, 34, -70, -68, 69]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [45, 56, -23, 38, -55, 36, 82, 83, 38, -18]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[36,-18]", "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\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":79},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[36,-18]}]"} {"id": "python/three_independent_target/0/2", "category": "python", "topology": "three_independent_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\": [-100, 65, 13, -23, -58, -59, -78, -20, 0, -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.\nDefine task_1_queries_static = [19, -34, 11, -92, 21, -21, 43, -11, -88, 49].\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\nDefine task_2_input = {\"result\": 16}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [78, 27, 11, -37, 53, -32, 39, 77, -46, 28]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[77,11]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[49,-88,-11,43,-21,21,-92,11,-34,19,0,65,13,-23,-58,-59,-78,-20,0,-55]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,17]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[77,11]}]"} {"id": "python/three_independent_target/0/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-87, 62, -62, -54, -35, 84, 68, -93, -89, 27]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-95, 87, -56, -84, -77, 91, 3, -68, -45, -55]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[87,3]", "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\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":187},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[87,3]}]"} {"id": "python/three_independent_target/0/4", "category": "python", "topology": "three_independent_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\": [87, -45, 57, 98, -38, -11, -24, -87, 100, 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 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\nDefine task_2_input = {\"result\": [-44, -61, 2, -55, -62, -83, -17, -76, 2, 93]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -59.\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\nDefine task_3_input = {\"result\": [41, 46, -10, 2, 30, 81, -90, 13, -44, 48]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[30,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":242},{\"node_id\":\"task_2\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[30,2]}]"} {"id": "python/three_independent_target/0/5", "category": "python", "topology": "three_independent_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\": [-19, 40, 48, 35, -59, -24, -10, 77, -35, -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 = 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 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\nDefine task_2_input = {\"result\": -49}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -3, -75, -96, -25, -33, 46, 19, 68, 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) -> 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\nDefine task_3_input = {\"result\": [25, -26, 67, -3, -87, 58, -27, 1, 24, -48]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[24,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":67},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[24,1]}]"} {"id": "python/three_independent_target/0/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -5}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -88, 40, -76, -64, -62, 87, -39, -82, -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 (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\nDefine task_3_input = {\"result\": [-5, -43, -81, -31, -91, 60, -95, -66, -79, -20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[60,-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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[60,-5]}]"} {"id": "python/three_independent_target/0/7", "category": "python", "topology": "three_independent_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\": 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 = [-6, -80, -74, 19, 31, 17, -80, 31, -81, 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\nDefine task_2_input = {\"result\": 64}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-100, 37, 84, 63, 38, -29, 62, -3, 62, -43].\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\nDefine task_3_input = {\"result\": [-43, 24, -93, 68, 18, 83, 5, -20, 16, 20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[20,5]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-81,-80,-80,-74,-6,17,19,31,31,36]},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[20,5]}]"} {"id": "python/three_independent_target/0/8", "category": "python", "topology": "three_independent_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\": 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_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\nDefine task_2_input = {\"result\": 10}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -32, -73, 83, -95, -29, -80, -30, -87, -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\nDefine task_3_input = {\"result\": [-16, -10, -95, -14, -2, 76, 98, 24, -57, -69]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[24,-2]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-99,-32,-95,83,-87,-30,-80,-29,-73,-67]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[24,-2]}]"} {"id": "python/three_independent_target/0/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [94, 13, -50, 87, 13, 56, 74, -61, -7, 23]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [44, -69, -55, 25, -75, 35, 3, 10, -5, -85]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[10,-5]", "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\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[10,-5]}]"} {"id": "python/three_independent_target/0/10", "category": "python", "topology": "three_independent_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\": -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.\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\nDefine task_2_input = {\"result\": 85}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [22, -32, 60, -23, -59, -56, 84, 69, 68, 58]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[69,-23]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-33},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-51,86,33]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[69,-23]}]"} {"id": "python/three_independent_target/0/11", "category": "python", "topology": "three_independent_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\": -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 = [84, -86, 54, 57, -35, -60, -29, -68, 52, 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\nDefine task_2_input = {\"result\": [-96, 70, 43, -12, 27, 15, 28, 35, 48, 69]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 5.\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\nDefine task_3_input = {\"result\": [11, 62, -27, -86, -22, -47, -51, 16, 21, 64]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[64,16]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[84,-86,54,57,-35,-60,-29,-68,52,35]},{\"node_id\":\"task_2\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":70},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[64,16]}]"} {"id": "python/three_independent_target/0/12", "category": "python", "topology": "three_independent_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\": [49, -21, 11, 2, -50, 88, -6, -66, -53, 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 = [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\nDefine task_2_input = {\"result\": [28, -70, -95, 71, -72, -44, -86, 82, 89, 23]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [83, -11, -24, -96, 88, 43, 9, -41, 50, -37]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[88,-11]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":179},{\"node_id\":\"task_2\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":22},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[88,-11]}]"} {"id": "python/three_independent_target/0/13", "category": "python", "topology": "three_independent_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\": -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 = 24.\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\nDefine task_2_input = {\"result\": [-86, -20, 39, 17, 37, 52, -12, 28, -66, -23]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-45, 53, 3, 88, 82, 20, 80, 58, 88, -23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[80,20]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,25,-51,-28]},{\"node_id\":\"task_2\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[80,20]}]"} {"id": "python/three_independent_target/0/14", "category": "python", "topology": "three_independent_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\": 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, 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\nDefine task_2_input = {\"result\": [38, 39, 15, -48, -73, 20, -13, -74, -31, -67]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-43, -53, 25, 16, -88, 65, 87, -25, 30, -56]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[25,-25]", "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\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":140},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[25,-25]}]"} {"id": "python/three_independent_target/0/15", "category": "python", "topology": "three_independent_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\": -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_arr_static = [20, 66, 28, 24, 13, 87, -76, -21, 76, 33].\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\nDefine task_2_input = {\"result\": -44}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -89, -24, 90, 15, 39, 8, 89, 0, 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\nDefine task_3_input = {\"result\": [-45, -76, 42, 86, -92, 76, -33, -17, 84, 18]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[76,-76]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":500},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-69,-89,-24,90,15,39,8,89,0,68]},{\"node_id\":\"task_3\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[76,-76]}]"} {"id": "python/three_independent_target/1/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 34}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -71.\nDefine task_2_energy_static = [32, 26, -27, 4, -98, 89, -49, -78, 5, -68].\nDefine task_2_experience_static = [99, 17, 77, 65, 94, 41, 64, -17, -4, 95].\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\nDefine task_3_input = {\"result\": [96, -70, -47, -5, -39, 2, -83, -60, 47, 71]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":100},{\"node_id\":\"task_2\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":171},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/1/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-76, -48, 98, 33, 33, -53, -81, -66, 95, -98]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-43, 71, 5, -14, 66, 37, -36, 56, 38, -70].\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\nDefine task_3_input = {\"result\": [-38, 71, -66, -90, -22, 3, -84, 27, -57, 13]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":[-120,20,100,16,97,-16,-117,-11,131,-168]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/1/2", "category": "python", "topology": "three_independent_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\": [10, 76, 50, -57, -45, -36, -39, -99, -18, 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_boardingCost_static = 87.\nDefine task_1_runningCost_static = 67.\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\nDefine task_2_input = {\"result\": [59, 42, 3, 61, 68, -18, 78, -62, -18, -52]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [27, 100, -43, -82, -52, 82, -27, 88, -73, -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 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\nDefine task_3_input = {\"result\": [19, -59, -94, 65, -58, 13, 50, 4, 76, -26]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":161},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/1/3", "category": "python", "topology": "three_independent_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\": [9, 36, -28, 30, 45, 15, 24, -48, 20, 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 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\nDefine task_2_input = {\"result\": [-5, 80, -16, 97, 27, 70, -89, -97, 93, 4]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-62, 92, -65, -21, 57, -94, 86, -80, 65, -68]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,4,1,2,9,1,4,1,2,10]},{\"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\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/1/4", "category": "python", "topology": "three_independent_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\": -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 = [-70, -1, -94, -3, 89, -29, -40, 36, -78, -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\nDefine task_2_input = {\"result\": [18, -92, 90, -13, 3, -11, 61, -32, 9, 39]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-84, -18, 5, 30, -78, 54, -85, 90, -42, 99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-70,-1,-94,-3,89,-29,-40,36,-78,-41]},{\"node_id\":\"task_2\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-242},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/1/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [77, -41, -57, -54, 68, 21, 53, 5, -20, -78]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [70, -1, 66, 18, -57, -98, -77, 91, 72, 73]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-1,68,-54,68,77,53,77,77,77,77]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/1/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 80}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 88.\nDefine task_2_energy_static = [-61, 6, 52, -55, 49, -19, -52, 15, 39, 5].\nDefine task_2_experience_static = [78, -30, -47, -87, 11, -20, -8, -80, 82, -43].\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\nDefine task_3_input = {\"result\": [3, 18, -56, -93, -10, 83, -53, -61, 96, 80]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":178},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/1/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 35}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -73, -18, -54, 54, -26, -93, 29, 78, -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) -> 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\nDefine task_3_input = {\"result\": [-91, 20, 18, -72, -28, 86, 77, 74, 92, 92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/1/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-13, 66, 77, -56, 12, 55, 68, -97, 27, -62]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 5.\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\nDefine task_3_input = {\"result\": [-73, 9, 76, -25, 25, -16, -11, 36, 100, 81]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-13,66,77,-56,12,55,68,-97,27,-62]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/1/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 77}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 40, -49, -43, -80, 80, 6, -20, -60, -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\nDefine task_3_input = {\"result\": [-78, 91, -37, 1, 28, -86, 31, -43, -19, 51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-80,-60,-49,-43,-26,-20,6,6,40,80]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/1/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [55, -48, -8, -8, -51, 78, 25, 33, -97, -90]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-96, 24, 44, -11, -68, 3, -34, 30, -86, 20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":69},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[78,-8,78,78,78,-1,33,55,-90,55]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/1/11", "category": "python", "topology": "three_independent_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}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, 58, 76, -86, 91, -36, 44, 82, 61, -55].\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\nDefine task_2_input = {\"result\": -75}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-50, 15, -36, -98, -25, -30, 86, 2, -82, -96].\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\nDefine task_3_input = {\"result\": [94, 3, 25, -59, -34, 80, 13, 57, 37, 76]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":525},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-75},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/1/12", "category": "python", "topology": "three_independent_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\": -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 = [84, 13, -77, 77, 88, 70, 20, 37, 47, -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 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\nDefine task_2_input = {\"result\": -25}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-18, 51, 35, -75, -28, -19, 77, 7, -93, 51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":449},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,36,-24,10]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/1/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [33, -83, -52, 39, -31, -53, -69, -11, -86, -55]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [92, -39, 55, -44, -16, 71, -43, 19, -82, 25]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":5}]"} {"id": "python/three_independent_target/1/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 39}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 9, 24, -28, 37, 45, -38, 53, 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\nDefine task_3_input = {\"result\": [-91, 54, 35, -68, -47, -7, 45, 65, -35, 4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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,-28,9,13,24,37,45,53,56]},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/1/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 45}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [40, 24, 59, -31, -68, -19, 10, 67, 31, 38]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":45},{\"node_id\":\"task_3\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/2/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -46}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [60, 3, -68, 76, 62, 67, -63, 89, 67, -96]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-6, -27, -66, 58, 97, -44, -16, 76, 65, 55].\nDefine task_3_capacity_static = 55.\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\":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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,4,10,28,-45,-43,-37,-19]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":89}]"} {"id": "python/three_independent_target/2/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [58, -41, 63, 0, 87, -75, 56, -86, 84, -1]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [11, -34, 58, -11, 86, -21, -5, 62, 62, -76]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-93, 60, -79, 96, 15, 98, -46, 86, 38, 54].\nDefine task_3_capacity_static = -22.\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": "85", "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\":[58,31,31,32,32,-9,-10,-10,-1,-1]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":85}]"} {"id": "python/three_independent_target/2/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [100, -46, 52, 14, -67, 78, 4, 69, 0, 83]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-4, 29, -42, 55, 64, -66, -86, 39, 34, -36]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-28, -75, -77, -5, 10, 45, -70, 61, -47, -62].\nDefine task_3_capacity_static = -42.\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": "64", "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\":[187,233,227,161,214,203,121,48,21,104]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":64}]"} {"id": "python/three_independent_target/2/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -1}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [90, -5, 85, 34, -61, -56, 59, -37, -89, -15].\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\nDefine task_3_input = {\"result\": [74, -44, 71, -64, -59, 51, 12, -9, -47, 50]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [23, -41, -60, -40, 10, -92, 15, 91, -48, -48].\nDefine task_3_capacity_static = 19.\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": "74", "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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":90},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":74}]"} {"id": "python/three_independent_target/2/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -94}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 64, -14, -26, -78, 0, 25, 3, 95, -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\nDefine task_3_input = {\"result\": [70, 30, 72, 100, 6, 49, 74, -11, 84, 1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [77, -35, -75, 93, -58, 14, -31, 33, 80, 44].\nDefine task_3_capacity_static = -58.\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": "84", "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\":[-11,64,-14,-26,-78,0,25,3,95,-72]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":84}]"} {"id": "python/three_independent_target/2/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [65, -78, -69, 18, 69, 19, 55, -42, 64, 65]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [62, 49, 29, 54, -59, -63, -21, 74, -76, -56]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-2, -52, -94, -68, 63, -94, -51, 88, 80, 39].\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": "74", "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\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[64,-78,-42,18,69,19,55,-69,65,65]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":74}]"} {"id": "python/three_independent_target/2/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -84}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 17, 72, -76, 93, -75, -56, -85, 69, 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\nDefine task_3_input = {\"result\": [0, 91, 60, 10, 30, 56, 93, -50, 37, -35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [55, -60, 3, -88, -14, 31, 6, -91, -52, -71].\nDefine task_3_capacity_static = 42.\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": "93", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[20,17,72,-76,93,-75,-56,-85,69,39]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":93}]"} {"id": "python/three_independent_target/2/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-24, 41, 21, -41, -53, 25, 82, -28, 1, 47]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-47, -50, 54, -56, 74, -50, -4, 93, 38, 74]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 83, 32, 83, 77, -67, -45, -69, -44, -74].\nDefine task_3_capacity_static = 18.\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": "93", "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\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[41,82,25,25,25,82,-1,1,47,82]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":93}]"} {"id": "python/three_independent_target/2/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 3}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -50, 37, 29, 27, -51, -51, 48, -46, -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\nDefine task_3_input = {\"result\": [-69, -42, -60, -99, 85, -9, 3, -71, -66, -10]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-33, -98, -24, -4, 43, -43, 99, 56, -42, -94].\nDefine task_3_capacity_static = 78.\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": "85", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-82,-51,37,27,29,-51,-50,48,-46,-15]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":85}]"} {"id": "python/three_independent_target/2/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [47, -28, -47, -52, -64, 52, 70, -24, -85, -19]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-81, -3, 49, -68, 10, -13, 81, -34, 67, -3]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-82, 33, -52, 7, -3, -22, 79, 28, 56, -26].\nDefine task_3_capacity_static = -23.\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": "81", "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\":[52,52,52,52,52,70,-1,-19,-19,47]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":81}]"} {"id": "python/three_independent_target/2/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -64}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-95, -4, 69, 9, 49, 36, 57, 31, -92, 95]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [67, 74, -2, 71, -85, -44, 34, -14, -82, 31].\nDefine task_3_capacity_static = 93.\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\":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,-3,17,-63,-63,-68,-48,-128]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":95}]"} {"id": "python/three_independent_target/2/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -90}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-65, 67, 13, 80, -67, -40, -91, 3, 31, 50].\nDefine task_2_passengers_static = [-51, 13, -6, -60, -43, -77, 61, 42, -3, -47].\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\nDefine task_3_input = {\"result\": [82, 61, 79, 76, -63, -55, 11, -6, 39, 42]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-97, -61, 43, -9, 68, 88, 41, -55, -19, 62].\nDefine task_3_capacity_static = 60.\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": "82", "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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":80},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":82}]"} {"id": "python/three_independent_target/2/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -51}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [11, -99, 7, -97, 56, 5, 83, 31, 82, 34]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-41, -51, 29, 98, -87, -38, 68, 64, 62, 73].\nDefine task_3_capacity_static = 51.\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": "83", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,29,-50,-23]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":83}]"} {"id": "python/three_independent_target/2/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -77}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-1, 65, -68, 30, 21, -90, -18, 80, -47, 43].\nDefine task_2_capacityB_static = 97.\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\nDefine task_3_input = {\"result\": [25, -79, 4, -31, -33, 59, 68, -19, -30, 19]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-20, 7, 61, 0, -18, -56, -100, 59, 3, 35].\nDefine task_3_capacity_static = -88.\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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,55]},{\"node_id\":\"task_2\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":68}]"} {"id": "python/three_independent_target/2/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [81, -77, 20, -55, 67, 41, 50, 10, -33, -33]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [92, 79, -6, -84, -79, 32, 24, 65, 39, 83]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [8, 78, -59, -82, 16, -28, -22, 39, -84, -85].\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": "92", "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\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[3,1,2,1,2,1,1,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":92}]"} {"id": "python/three_independent_target/2/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 41}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 32, -76, 3, -80, -84, -8, 99, -33, 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\nDefine task_3_input = {\"result\": [94, -82, -60, 26, -49, 25, 44, -81, -2, -81]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-49, -73, 83, -86, -81, -60, -83, -11, -87, -89].\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": "94", "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\":[-33,-33,-84,-8,-80,-76,3,32,59,99]},{\"node_id\":\"task_3\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":94}]"} {"id": "python/three_independent_target/3/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [30, -80, -42, 44, 98, 94, -75, -90, -60, 85]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -25}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-71, -22, -94, -49, -75, 40, -67, 57, 63, -82].\nDefine task_3_passengers_static = [-66, -50, -51, -59, -29, 83, -13, -56, -47, -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": "63", "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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":63}]"} {"id": "python/three_independent_target/3/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 18}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-38, 53, 82, 52, 87, -72, 56, -30, 51, 31].\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\nDefine task_3_input = {\"result\": 60}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-13, 12, 97, 65, -35, 68, -92, -93, 77, -57].\nDefine task_3_passengers_static = [-57, 17, 7, 53, 74, 53, -40, 56, -62, 88].\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": "97", "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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":97}]"} {"id": "python/three_independent_target/3/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -25}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [39, 49, 61, -73, -24, 66, -39, -23, -56, 75].\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\nDefine task_3_input = {\"result\": -7}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [71, -82, 1, 71, -74, 17, -26, -42, -11, -21].\nDefine task_3_passengers_static = [70, 80, 47, -92, -5, 77, -24, 56, -1, 19].\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": "71", "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\":9},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":71}]"} {"id": "python/three_independent_target/3/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [37, 83, -89, 32, -10, -53, 87, -98, -65, 5]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 27}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-55, 59, -21, -63, -98, -35, 75, 26, 4, 32].\nDefine task_3_passengers_static = [-81, -89, 24, 68, -91, -87, 84, 18, 80, 82].\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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,3,1,2,2,1,3,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":75}]"} {"id": "python/three_independent_target/3/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [95, 53, 68, 61, 99, 3, 19, 94, -80, -28]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 45}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [15, 80, 81, 58, -100, -73, 74, -3, -73, -94].\nDefine task_3_passengers_static = [73, -76, -39, 82, 76, 11, 65, 47, -92, 68].\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": "81", "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\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":81}]"} {"id": "python/three_independent_target/3/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -26}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [95, 96, 11, 77, -3, -20, 58, 21, -40, -36].\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\nDefine task_3_input = {\"result\": 56}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -13, -39, 79, -15, 44, -13, 44, 17, 96].\nDefine task_3_passengers_static = [36, 2, -19, 68, -57, 35, -77, -64, -23, 83].\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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":594},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":96}]"} {"id": "python/three_independent_target/3/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -90}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": 51}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-51, -16, -54, 67, -75, -29, -100, -63, 37, -55].\nDefine task_3_passengers_static = [54, -84, -55, 91, 91, 21, 59, -90, -64, 11].\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\":-89},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":67}]"} {"id": "python/three_independent_target/3/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 54}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 38, 32, 31, 74, -3, 52, 69, -9, -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 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\nDefine task_3_input = {\"result\": 75}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [65, -62, 4, 99, -92, 38, -9, -35, 13, -26].\nDefine task_3_passengers_static = [66, 74, -86, -46, 50, -30, 2, -73, -99, -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\":40},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":99}]"} {"id": "python/three_independent_target/3/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [88, -76, -89, 90, 93, 48, -46, -70, 65, 89]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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\nDefine task_3_input = {\"result\": -87}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-73, 83, 69, -95, 48, 74, 70, -39, 15, -98].\nDefine task_3_passengers_static = [-42, 19, -85, -97, 85, 31, -63, -80, -67, 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": "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\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[88,-76,-89,90,93,48,-46,-70,65,89]},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":83}]"} {"id": "python/three_independent_target/3/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -61}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 33.\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\nDefine task_3_input = {\"result\": 11}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-36, 65, 25, -32, 65, -95, -3, 90, 20, -65].\nDefine task_3_passengers_static = [9, -89, 33, 95, 64, -32, 65, 42, -62, 45].\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": "90", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-60,-28]},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":90}]"} {"id": "python/three_independent_target/3/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-43, 12, -31, 26, -17, 47, 55, -45, -20, -8]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 1}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-44, -11, -21, 60, 30, 85, -4, -72, -19, 53].\nDefine task_3_passengers_static = [75, -17, -27, -58, 83, -35, -92, 57, 53, 100].\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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":92},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-8,12,-20,26,-17,47,55,-45,-31,-43]},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":74}]"} {"id": "python/three_independent_target/3/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 85}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 47, 63, 29, 36, -62, -98, 99, 98, -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\nDefine task_3_input = {\"result\": 3}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [19, -12, 49, -12, -74, 72, -91, -1, -38, -96].\nDefine task_3_passengers_static = [-33, 54, 75, 75, 3, -23, -59, 4, 77, -79].\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": "72", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-98,-62,-52,-1,29,36,47,63,98,99]},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":72}]"} {"id": "python/three_independent_target/3/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-24, -51, 29, 79, -82, 59, 6, -2, 46, 77]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, -84, -28, 35, 95, -86, 76, 77, -26, -77].\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\nDefine task_3_input = {\"result\": -9}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [84, -48, 54, -15, -22, -48, -40, 49, -13, 5].\nDefine task_3_passengers_static = [-84, 40, -79, -88, -37, -11, 27, 45, -88, -70].\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": "84", "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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-77,-26,77,76,-86,95,35,-28,-84,11,-24,-51,29,79,-82,59,6,-2,46]},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":84}]"} {"id": "python/three_independent_target/3/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -9}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": -21}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [68, 10, -59, 97, -23, 47, -6, 41, 81, -91].\nDefine task_3_passengers_static = [-69, -40, 86, -7, 52, -23, 17, -26, 62, 50].\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": "97", "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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-9},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":97}]"} {"id": "python/three_independent_target/3/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -98}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": 59}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [80, -55, 20, 34, 24, 93, 28, -30, -53, 1].\nDefine task_3_passengers_static = [89, -98, -47, -15, -93, -18, 44, 65, -31, 59].\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": "93", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,6,26,-97,-93,-73,27]},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":93}]"} {"id": "python/three_independent_target/3/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [64, -7, -88, -58, 74, 38, -27, -34, 17, -24]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-97, -45, -51, 38, 54, -85, 14, 13, 83, -63].\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\nDefine task_3_input = {\"result\": 80}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-44, -77, -55, -94, 30, 50, -82, 22, 69, 92].\nDefine task_3_passengers_static = [76, 8, 1, -15, 29, 39, -81, 49, -62, -27].\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": "92", "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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-63,83,13,14,-85,54,38,-51,-45,-97,64,-7,-88,-58,74,-27,-34,17,-24]},{\"node_id\":\"task_3\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":92}]"} {"id": "python/three_independent_target/4/0", "category": "python", "topology": "three_independent_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\": 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 = -40.\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\nDefine task_2_input = {\"result\": -14}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -30, -73, -47, 94, 64, -83, 100, -33, -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\nDefine task_3_input = {\"result\": [34, -99, -45, 30, 86, -63, -15, 17, 83, 81]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-39]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-76,-30,-73,-47,94,64,-83,100,-33,-37]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-63}]"} {"id": "python/three_independent_target/4/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -55}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 74, 86, 53, 78, -79, -48, 72, 41, 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\nDefine task_3_input = {\"result\": [-49, 64, -5, 28, 67, 92, -38, -39, 79, 45]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-39", "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\":[2,74,86,53,78,-79,-48,72,41,2]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-39}]"} {"id": "python/three_independent_target/4/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -15}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, 95, -75, 56, -34, -58, -100, 81, -63, 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\nDefine task_3_input = {\"result\": [0, 95, 41, 94, 86, 85, 86, 45, -32, 4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-32", "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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":95},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-32}]"} {"id": "python/three_independent_target/4/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 48}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -53, 86, -55, 33, 62, 49, -64, -66, 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) -> 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\nDefine task_3_input = {\"result\": [38, -21, -54, -21, -21, -86, 59, -15, 42, -92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-92", "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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-92}]"} {"id": "python/three_independent_target/4/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -57}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-46, 3, -22, -58, 99, -59, -75, 79, 51, 93].\nDefine task_2_passengers_static = [-9, -5, -99, 81, -61, -13, -4, 81, -44, -58].\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\nDefine task_3_input = {\"result\": [-90, -73, 87, 65, 4, 35, -38, -70, 76, 48]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "4", "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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":99},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/4/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [100, 65, -70, -64, -11, -52, -54, -42, 52, -95]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -33.\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\nDefine task_3_input = {\"result\": [-18, -98, -84, -100, 59, -65, -17, 9, 91, -51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-51", "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\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-51}]"} {"id": "python/three_independent_target/4/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -81}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 9, -4, 54, -86, -76, 61, 98, 18, 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\nDefine task_3_input = {\"result\": [-22, 82, 66, -88, 68, -17, -17, -31, -45, -52]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-52", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-15,9,-4,54,-86,-76,61,98,18,51]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-52}]"} {"id": "python/three_independent_target/4/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [13, 22, -77, -87, 83, -41, -87, -6, -79, -93]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-26, 55, 19, -96, -56, 90, 25, 10, 29, 97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-96", "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\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[36,7569,1681,6889,7569,5929,484,169,6241,8649]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-96}]"} {"id": "python/three_independent_target/4/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [12, -63, -16, 59, 63, 55, -100, 9, 79, 68]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-69, -2, -44, -37, 4, 46, 33, -35, 24, -46]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-46", "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\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[3,1,2,4,8,3,1,2,10,1]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-46}]"} {"id": "python/three_independent_target/4/9", "category": "python", "topology": "three_independent_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\": -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 = -56.\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\nDefine task_2_input = {\"result\": -63}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-13, -60, 50, 36, 97, 45, -21, 40, -9, 33]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-9", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-55,-16,-73]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,11,-62,-53,37]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-9}]"} {"id": "python/three_independent_target/4/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 10}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 12.\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\nDefine task_3_input = {\"result\": [85, -27, 85, 59, -10, -9, 54, -3, -3, -21]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-21", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-58,11,-49]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-21}]"} {"id": "python/three_independent_target/4/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -8}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [14, -35, 96, 91, -31, -13, 58, 47, 42, 10]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-31", "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,-3,17,-63,-7,-12,8,-72]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-31}]"} {"id": "python/three_independent_target/4/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-3, 14, 37, -95, 44, 72, 65, -75, -23, 69]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [32, 5, 68, 21, -15, 72, 84, 73, -70, 19]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-15", "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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-3,14,14,14,44,65,65,-23,-23,69]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-15}]"} {"id": "python/three_independent_target/4/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-31, -62, 95, -54, -73, 64, 94, -8, 15, 48]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [33, -6, 92, -72, -55, -41, -33, 78, 71, -97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-97", "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\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":671},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-97}]"} {"id": "python/three_independent_target/4/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 11}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -29, 60, -33, -2, 90, 36, 83, -4, -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\nDefine task_3_input = {\"result\": [78, 17, -80, 93, -14, -67, 83, 79, -92, 11]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-80", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-98,-33,60,-29,-4,83,36,90,-2,-52]},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-80}]"} {"id": "python/three_independent_target/4/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [99, -2, -28, -7, -69, 49, -23, 84, 3, 67]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -10.\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\nDefine task_3_input = {\"result\": [-28, -31, -62, 40, 65, -74, -9, -34, 8, -47]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-47", "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\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":27},{\"node_id\":\"task_3\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-47}]"} {"id": "python/three_independent_target/5/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [13, -60, 19, 57, -64, 3, 50, 92, -68, 45]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [44, -75, -21, 78, -8, -77, 50, -43, -84, -66]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,2,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/5/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 34}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-50, 90, 50, -72, -22, -70, 80, -72, 75, 97].\nDefine task_2_capacityB_static = 46.\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\nDefine task_3_input = {\"result\": [84, -91, -67, 57, 60, 79, 58, 80, 77, -33]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/5/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-88, -41, 90, 69, 33, -50, -89, 31, 7, 24]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-5, 1, 27, 11, -31, -39, -94, -83, -15, -57]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-88,-41,90,31,7,24]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/5/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-36, -74, -28, -34, -62, 53, -17, 32, 27, 33]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [5, -68, 40, 17, -75, 92, 72, -62, -95, -92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[30,8,16,46,92,50,59,-42,-82,72]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1,5,2,1,10,1,3,1,4]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/5/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [41, -78, -33, -44, 54, -53, 24, -97, -85, -21]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -4.\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\nDefine task_3_input = {\"result\": [26, -83, 2, -33, -10, 33, 15, -72, -93, 59]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":46},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/5/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -6}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -23, -6, -75, -2, -95, -70, 41, -70, -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) -> 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\nDefine task_3_input = {\"result\": [-25, -25, 0, 93, -38, -20, 75, -96, 32, -83]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":107},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/5/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 29}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 40.\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\nDefine task_3_input = {\"result\": [26, 42, -92, 63, -16, 62, -45, -3, 20, 20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-90,30,-62]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/5/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -40}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-65, 11, 70, 52, -80, -68, -95, -29, 71, 46].\nDefine task_2_runningCost_static = -82.\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\nDefine task_3_input = {\"result\": [-35, 19, 4, -94, -89, 36, 100, 15, -77, -62]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/5/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -25}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [65, 85, -63, -66, 84, 40, -63, -31, 61, 98]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[92,-1,0,0,33,92,92,-55,10,92]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-24,-3]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/5/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 31}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [84, 21, -16, -83, -64, -70, 100, -17, -32, -59].\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\nDefine task_3_input = {\"result\": [10, -46, 48, 13, 21, -39, -81, 17, 96, -48]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/5/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [68, -52, 20, -9, -84, -71, -79, -90, 52, 68]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-69, 3, -72, -34, -98, 42, 94, 34, 74, 28]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":15,\"native_task_name\":\"candy:list\",\"output_value\":20},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/5/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-31, -28, 18, 68, -4, -3, -81, 9, 93, -64]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-65, 65, 91, 93, -93, -54, -70, 13, -49, 24]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-67},{\"node_id\":\"task_2\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":5256},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/5/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 90}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-68, 44, -66, -61, 55, 33, -41, 6, 18, -20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":31},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/5/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 78}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [33, 1, -18, -17, -74, 51, 70, -98, 89, -4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[36,5329,4096,144,529,7056,625,4624,1156,7569]},{\"node_id\":\"task_2\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":28},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/5/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [44, -26, -16, -87, 87, -51, 60, 1, -64, 100]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [71, 90, 24, -81, 13, -29, -46, -60, -100, -98].\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\nDefine task_3_input = {\"result\": [65, 62, 11, 39, -6, 38, 46, 14, -43, 88]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-98,-100,-60,-46,-29,13,-81,24,90,71,44,-26,-16,-87,87,-51,60,1,-64,0]},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/5/15", "category": "python", "topology": "three_independent_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\": -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 = 74.\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\nDefine task_2_input = {\"result\": -73}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -3, -24, 84, 3, 40, 63, 28, -35, 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) -> 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\nDefine task_3_input = {\"result\": [-79, -35, 65, -42, 100, 8, -30, -83, 26, 69]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,75,-75,-2]},{\"node_id\":\"task_2\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_3\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/6/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 78}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 35, -51, -54, 63, 73, -67, 15, 8, 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\nDefine task_3_input = {\"result\": [-7, -66, 46, 99, 92, 75, -82, -1, 23, 10]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [44, -22, -69, 59, 86, 40, -34, 8, 9, -90].\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\":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,-51,8,15,27,35,63,73]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/6/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [26, 77, 48, -29, -95, 40, -54, 66, -76, 100]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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\nDefine task_3_input = {\"result\": [41, 47, 52, 45, 50, 41, -93, -54, -92, 37]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [29, -70, 90, 37, -83, 29, -43, -24, 75, -87].\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\":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\":[-95,-76,-54,-29,0,26,40,48,66,77]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/6/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -6}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -53, -9, 50, 25, -33, 85, -49, -60, 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) -> 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\nDefine task_3_input = {\"result\": [21, 99, 28, 28, 11, 52, -61, 59, -51, 4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-75, -50, -93, 69, -72, -46, 25, -36, 36, -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]) -> 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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":528},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":53},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/6/3", "category": "python", "topology": "three_independent_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\": [31, 76, -30, 5, 74, 87, 72, -65, 86, 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_nums2_static = [-97, -61, 14, -91, 35, 33, 1, 59, 26, 53].\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\nDefine task_2_input = {\"result\": [63, 85, 3, 50, 44, -40, -51, 37, 50, -3]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [100, 2, -65, -57, 75, -6, 5, -89, 68, 30]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-38, 69, -36, -20, -38, -49, -51, 7, -37, 46].\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\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":553},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[175,27,61,114,208,212,121,107,194,241]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/6/4", "category": "python", "topology": "three_independent_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\": -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 = [16, 70, -67, -67, 63, 84, -67, 11, -67, 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 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\nDefine task_2_input = {\"result\": [-5, -63, 99, -71, 31, 73, 84, 78, -53, -57]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-73, 65, 93, 56, 25, -100, -2, 50, -53, -67]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -75, 77, 57, -57, 32, 6, 51, 11, 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]) -> 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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":44},{\"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\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/6/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-43, 3, -87, 77, 21, 91, 77, -75, -59, -69]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [5, 96, 17, -36, 50, -57, 98, 49, -89, -72]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-62, -92, 39, -44, 68, -10, 100, -25, 62, 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": "6", "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\":[21,19,103,113,15,97,265,267,133,5]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/6/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [21, -10, -66, -77, 11, 36, 0, 57, -90, -25]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [14, 49, -38, -50, 2, -36, -20, 95, -5, -23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [90, -16, -79, -29, 46, -76, 37, -17, 3, 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": "6", "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\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[5,3,2,1,1,2,1,0,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/6/7", "category": "python", "topology": "three_independent_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\": 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 = -15.\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\nDefine task_2_input = {\"result\": -54}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 87, -23, 26, -19, 8, 19, -89, -92, 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\nDefine task_3_input = {\"result\": [62, 97, 49, -99, -82, -93, -7, -20, -16, -12]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 27, 51, -16, 50, -86, 78, -11, 80, 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": "3", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-14]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[100,87,-23,26,-19,8,19,-89,-92,8]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/6/8", "category": "python", "topology": "three_independent_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\": [67, -56, -91, 14, 4, 5, 13, -69, -21, -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 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\nDefine task_2_input = {\"result\": -43}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -77.\nDefine task_2_bound_static = 35.\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\nDefine task_3_input = {\"result\": [-53, 30, -33, 76, 10, -96, -70, -17, 71, 99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 30, 44, 60, -71, -40, 10, -86, 35, -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]) -> 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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[67,-56,-56,5,5,5,5,-45,-45,-63]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-76,-42,-120]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/6/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-69, 52, 89, -57, -68, 45, -66, 48, -60, 71]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-61, 93, 50, 14, 99, 83, -96, 62, 14, -94]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -37, -70, -44, -14, 54, -20, 62, 59, 67].\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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":5042},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,10,2,1,4,1,6,1,7]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/6/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -52}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-23, -20, 83, -23, -93, 79, 3, -40, 12, -98]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [52, -83, -84, 53, -84, -80, 21, 67, 66, -85].\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\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-49},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/6/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -16}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [93, 40, 32, 57, -93, 13, -97, -47, -11, -62]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [26, -67, 18, -88, -83, -63, 20, -56, -43, -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": "8", "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,-12,-15,-29]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/6/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -9}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 53, 14, 8, -2, -73, 48, -74, 31, -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\nDefine task_3_input = {\"result\": [41, -48, -27, 34, -82, 36, 3, 78, -44, -84]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-88, -93, -14, 73, 87, -30, -14, -9, -28, 46].\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\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[80,53,14,8,-2,-73,48,-74,31,-6]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/6/13", "category": "python", "topology": "three_independent_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\": [-66, -13, 38, 66, 51, 10, -64, -4, 66, -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_passengers_static = [-28, -8, 93, 62, 60, 83, 67, -58, -30, -70].\nDefine task_1_capacity_static = 86.\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\nDefine task_2_input = {\"result\": [55, 24, 52, 49, 25, 41, -42, 5, 83, -5]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-49, -24, 26, 18, -93, 92, 89, 25, 61, -43]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-90, -90, -7, 90, -98, 53, -22, -92, -75, -27].\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\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":66},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[232,153,77,24,98,164,163,126,214,292]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/6/14", "category": "python", "topology": "three_independent_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\": [-4, 71, -11, 36, 24, 59, -51, -17, -58, -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_k_static = -86.\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\nDefine task_2_input = {\"result\": -57}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [33, -74, -91, 23, -45, -31, -35, -53, 56, -77].\nDefine task_2_capacityB_static = 85.\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\nDefine task_3_input = {\"result\": [-93, -44, -62, 4, -86, 48, 99, -25, -69, -21]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-72, 6, 35, -56, 46, 7, 21, -43, 9, 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": "4", "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\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/6/15", "category": "python", "topology": "three_independent_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\": -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\nDefine task_2_input = {\"result\": -38}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-72, 88, -48, 6, -97, -56, -42, 69, 20, -16]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [57, 29, -80, 93, 41, -18, 26, -72, -12, 60].\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\":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,-37]},{\"node_id\":\"task_3\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/7/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -49}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-68, 92, 99, -77, -5, -23, -34, 54, 63, 86]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -84.\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": "[-68,92,99,-77,-5,-23,-34,54,63,86]", "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,-20,-48,-70]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-68,92,99,-77,-5,-23,-34,54,63,86]}]"} {"id": "python/three_independent_target/7/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [91, -100, 80, -100, -85, -15, -4, 25, 68, -22]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [29, 58, -75, 53, -63, 47, 48, 54, -42, 51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -81.\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": "[29,58,-75,53,-63,47,48,54,-42,51]", "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\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":245},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[29,58,-75,53,-63,47,48,54,-42,51]}]"} {"id": "python/three_independent_target/7/2", "category": "python", "topology": "three_independent_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\": [60, 2, -25, 70, 33, -97, 77, -57, -71, 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 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\nDefine task_2_input = {\"result\": [9, -36, -77, 98, 60, -48, -13, -35, -26, 12]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-62, -7, -64, -84, 77, 9, -21, -3, 96, 56]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 94.\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": "[-84,-64,-62,-21,-7,-3,9,56,77,96]", "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\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[3,2,1,10,6,1,4,1,2,5]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-84,-64,-62,-21,-7,-3,9,56,77,96]}]"} {"id": "python/three_independent_target/7/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-51, -84, -34, -37, 7, 73, -88, 87, -9, 42]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [25, 72, -10, 63, -19, 65, 73, -32, -4, -5]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -66.\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": "[25,72,-10,63,-19,65,73,-32,-4,-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\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-34,-34,7,7,73,87,87,-1,42,73]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[25,72,-10,63,-19,65,73,-32,-4,-5]}]"} {"id": "python/three_independent_target/7/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -28}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-58, -30, -96, 65, -93, 96, -68, -74, -86, -74]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 6.\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": "[-58,-30,-96,65,-93,96,-74,-74,-86,-68]", "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,-27,10]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-58,-30,-96,65,-93,96,-74,-74,-86,-68]}]"} {"id": "python/three_independent_target/7/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-45, 31, -2, -20, -38, 24, 78, -24, 16, 16]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-45, 90, 87, 79, 49, 61, 72, -51, -86, -91]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -90.\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": "[-45,90,87,79,49,61,72,-51,-86,-91]", "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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-45,-38,24,78,16,16]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-45,90,87,79,49,61,72,-51,-86,-91]}]"} {"id": "python/three_independent_target/7/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -41}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -89, 51, -26, -8, -67, 63, 2, 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\nDefine task_3_input = {\"result\": [0, -63, 23, -20, 28, 49, 97, -31, 98, 1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 95.\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": "[-63,-31,-20,0,1,23,28,49,97,98]", "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,-89,51,-26,-8,-67,63,2,100,-72]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-63,-31,-20,0,1,23,28,49,97,98]}]"} {"id": "python/three_independent_target/7/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 57}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-99, 52, 16, 52, 39, 56, 75, 14, -45, 96].\nDefine task_2_capacityB_static = 15.\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\nDefine task_3_input = {\"result\": [90, -22, 25, 19, 44, -6, -55, -77, 85, -52]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -93.\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": "[90,-22,25,19,44,-6,-55,-77,85,-52]", "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\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[90,-22,25,19,44,-6,-55,-77,85,-52]}]"} {"id": "python/three_independent_target/7/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [52, 44, -96, 50, -45, 22, -75, 47, -64, -50]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-80, -19, -3, -46, 90, -99, -44, -35, 70, 83]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -42.\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": "[-80,-19,-3,-46,90,-99,-44,-35,70,83]", "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\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[44,22]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-80,-19,-3,-46,90,-99,-44,-35,70,83]}]"} {"id": "python/three_independent_target/7/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -91}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -9, -85, 52, 15, 7, -89, -94, -55, -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\nDefine task_3_input = {\"result\": [93, -73, -13, -67, -20, 83, 58, 21, -17, -81]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -68.\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,-73,-13,-67,-20,83,58,21,-17,-81]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[27,-9,-85,52,15,7,-89,-94,-55,-19]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[93,-73,-13,-67,-20,83,58,21,-17,-81]}]"} {"id": "python/three_independent_target/7/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 30}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [60, 33, 17, -5, 37, 16, -72, 54, -55, 16].\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\nDefine task_3_input = {\"result\": [55, -60, -6, 53, 79, 53, 45, -30, 33, 66]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -34.\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": "[55,-60,-6,53,79,53,45,-30,33,66]", "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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[55,-60,-6,53,79,53,45,-30,33,66]}]"} {"id": "python/three_independent_target/7/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -23}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -88.\nDefine task_2_energy_static = [-48, 68, -31, -77, 57, -26, -49, 56, 33, -54].\nDefine task_2_experience_static = [-69, -36, -100, -69, 68, 10, 74, -24, 51, -46].\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\nDefine task_3_input = {\"result\": [-88, 42, -20, 96, 75, 22, 34, -77, 25, -50]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "[-88,42,-20,96,75,22,34,-77,25,-50]", "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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":431},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-88,42,-20,96,75,22,34,-77,25,-50]}]"} {"id": "python/three_independent_target/7/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [82, -30, -22, -91, -15, -1, 85, 73, -44, 87]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [26, -43, 75, -60, 62, 38, 43, 86, -98, -88]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -60.\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": "[26,-43,75,-60,62,38,43,86,-98,-88]", "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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-91,-15,-1,85,73,87]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[26,-43,75,-60,62,38,43,86,-98,-88]}]"} {"id": "python/three_independent_target/7/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -9}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -37, 23, -93, -87, -20, 2, 44, 91, -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\nDefine task_3_input = {\"result\": [77, 63, -92, 66, -26, -98, 51, 10, 3, -17]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 74.\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": "[-98,-92,-26,-17,3,10,51,63,66,77]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[16,-37,23,-93,-87,-20,2,44,91,-94]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-98,-92,-26,-17,3,10,51,63,66,77]}]"} {"id": "python/three_independent_target/7/14", "category": "python", "topology": "three_independent_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\": -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 = -82.\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\nDefine task_2_input = {\"result\": 71}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 40.\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\nDefine task_3_input = {\"result\": [8, 16, -62, 10, -73, 82, -3, 88, 83, -27]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 62.\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,-62,-27,-3,8,82,10,83,88,16]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-81,-45,-128]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-81]},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-73,-62,-27,-3,8,82,10,83,88,16]}]"} {"id": "python/three_independent_target/7/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -58}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 34, -37, 86, 7, -65, 91, 87, 53, -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) -> 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\nDefine task_3_input = {\"result\": [-8, -48, -79, 84, 94, -4, 49, -33, 69, -44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 15.\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": "[-8,-48,-79,69,84,-4,49,-44,94,-33]", "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\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":216},{\"node_id\":\"task_3\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-8,-48,-79,69,84,-4,49,-44,94,-33]}]"} {"id": "python/three_independent_target/8/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [64, 12, 57, 71, 0, 25, 58, 97, 65, -2]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 0}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 49, 16, -81, -47, -42, -48, 15, -86, -10].\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": "[50,49,16,-81,-47,-42,-48,15,-86,-10]", "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\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[64,12,-2,58,0,25,71,97,65,57]},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[50,49,16,-81,-47,-42,-48,15,-86,-10]}]"} {"id": "python/three_independent_target/8/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 1}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -59, -32, -99, 16, 99, 68, 78, 7, 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 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\nDefine task_3_input = {\"result\": 81}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-5, 27, 99, -25, -3, 83, -77, -82, -50, 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) -> List[int]:\n n = len(nums)\n arr = sorted(zip(nums, range(n)))\n ans = [0] * n\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,-77,-50,-25,-5,-3,27,57,83,99]", "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\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":30},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-82,-77,-50,-25,-5,-3,27,57,83,99]}]"} {"id": "python/three_independent_target/8/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 58}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": -26}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -13, -87, -70, 15, 87, -45, 81, -35, 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) -> List[int]:\n n = len(nums)\n arr = sorted(zip(nums, range(n)))\n ans = [0] * n\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": "[-48,-13,-87,-70,15,87,-45,81,-35,44]", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-72,59,-15]},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-48,-13,-87,-70,15,87,-45,81,-35,44]}]"} {"id": "python/three_independent_target/8/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [59, -18, 29, -36, 92, 97, -85, 32, 9, -90]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, -45, 17, 90, 48, -70, 1, -84, 94, 78].\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\nDefine task_3_input = {\"result\": 6}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-88, 84, -40, 39, 56, -91, -8, -11, -86, 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) -> List[int]:\n n = len(nums)\n arr = sorted(zip(nums, range(n)))\n ans = [0] * n\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": "[-91,84,-40,39,56,-88,-11,-8,-86,61]", "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\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":20},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-91,84,-40,39,56,-88,-11,-8,-86,61]}]"} {"id": "python/three_independent_target/8/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -24}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 16.\nDefine task_2_energy_static = [81, -20, 60, 93, -99, -40, -47, 55, -2, -63].\nDefine task_2_experience_static = [25, 66, -67, -46, 38, -49, -44, 8, 65, 31].\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\nDefine task_3_input = {\"result\": -65}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 55, 64, -57, -30, -93, 87, 41, 67, -69].\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": "[12,55,64,-57,-30,-93,87,41,67,-69]", "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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":162},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[12,55,64,-57,-30,-93,87,41,67,-69]}]"} {"id": "python/three_independent_target/8/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [13, 84, 60, 48, -10, -24, -67, 71, -8, 99]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 (l, r) = (0, len(list_2) - 1)\n ans = 0\n while l < r:\n t = min(list_2[l], list_2[r]) * (r - l)\n ans = max(ans, t)\n if list_2[l] < list_2[r]:\n l += 1\n else:\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\nDefine task_3_input = {\"result\": 93}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-28, 25, 28, -86, 33, 95, 11, 89, -64, 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": "[-86,-64,-28,11,25,28,33,87,89,95]", "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\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":672},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-86,-64,-28,11,25,28,33,87,89,95]}]"} {"id": "python/three_independent_target/8/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [1, -24, -83, -51, -36, -3, 38, 96, 41, 89]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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_capacityA_static = -80.\nDefine task_2_capacityB_static = 91.\nTrace the execution of task_2 with inputs capacityA = task_2_capacityA_static, capacityB = task_2_capacityB_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], capacityA: int, capacityB: int) -> int:\n (a, b) = (capacityA, capacityB)\n ans = 0\n (i, j) = (0, len(list_2) - 1)\n while i < j:\n if a < list_2[i]:\n ans += 1\n a = capacityA\n a -= list_2[i]\n if b < list_2[j]:\n ans += 1\n b = capacityB\n b -= list_2[j]\n (i, j) = (i + 1, j - 1)\n ans += i == j and max(a, b) < 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\nDefine task_3_input = {\"result\": 54}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -15, -28, -68, 54, 19, 20, 50, 91, 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": "[-68,-61,-28,-15,19,20,50,54,83,91]", "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\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-68,-61,-28,-15,19,20,50,54,83,91]}]"} {"id": "python/three_independent_target/8/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-86, -18, -100, -32, 67, -20, 69, 58, -36, -13]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -64}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [33, 39, 81, 87, 68, 14, -40, -25, 75, 76].\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": "[33,39,81,87,68,14,-40,-25,75,76]", "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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-86,-18,0,67,69,58]},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[33,39,81,87,68,14,-40,-25,75,76]}]"} {"id": "python/three_independent_target/8/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [78, 70, 95, -51, 18, -36, -65, -2, -20, 19]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -23}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -42, 77, -95, -35, -76, 77, 76, -39, -10].\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": "[32,-42,77,-95,-35,-76,77,76,-39,-10]", "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\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,3,1,3,2,1,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[32,-42,77,-95,-35,-76,77,76,-39,-10]}]"} {"id": "python/three_independent_target/8/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 62}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [99, -51, 5, -39, -75, 47, 38, -63, -39, 100].\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\nDefine task_3_input = {\"result\": -64}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -22, 12, -52, 71, -77, -43, 46, -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) -> List[int]:\n n = len(nums)\n arr = sorted(zip(nums, range(n)))\n ans = [0] * n\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": "[51,-22,12,-52,71,-77,-43,46,-95,16]", "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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":62},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[51,-22,12,-52,71,-77,-43,46,-95,16]}]"} {"id": "python/three_independent_target/8/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -30}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": -64}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [19, -97, 67, 22, -46, -21, -63, -70, -72, 72].\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": "[19,-97,67,22,-46,-21,-63,-70,-72,72]", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-75,-29,-106]},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[19,-97,67,22,-46,-21,-63,-70,-72,72]}]"} {"id": "python/three_independent_target/8/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-78, -98, 4, 57, -80, 2, -9, 72, -47, 95]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [100, -84, 94, -89, -75, 21, 83, 91, 29, -1].\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\nDefine task_3_input = {\"result\": 57}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [0, 38, 20, 99, 50, 72, -3, 27, -48, -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": "[-78,-48,-3,0,20,27,38,50,72,99]", "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\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,20,-183,96,-32,-156,20,71,161,-19,92]},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-78,-48,-3,0,20,27,38,50,72,99]}]"} {"id": "python/three_independent_target/8/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [96, 15, -85, 0, 30, -36, -6, -81, -54, 52]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, -7, -34, -25, 31, 88, 22, -45, -75, -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]) -> 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\nDefine task_3_input = {\"result\": 87}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 44, 54, 30, -55, -70, 51, 12, -75, -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,-75,-70,-55,6,12,30,44,51,54]", "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\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-87,-75,-70,-55,6,12,30,44,51,54]}]"} {"id": "python/three_independent_target/8/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 52}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [79, 24, 21, 80, -1, 34, 42, 29, -49, -7].\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\nDefine task_3_input = {\"result\": -74}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [83, -76, -19, -74, -100, -100, -2, 28, 78, -84].\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": "[83,-76,-19,-74,-100,-100,-2,28,78,-84]", "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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[83,-76,-19,-74,-100,-100,-2,28,78,-84]}]"} {"id": "python/three_independent_target/8/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-41, -59, 54, 80, -17, 21, 96, 82, 74, -32]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 16}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -95, -90, -11, -90, -28, -59, -93, 49, 32].\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,-11,-90,-28,-59,-86,49,32]", "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\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,-93,-90,-11,-90,-28,-59,-86,49,32]}]"} {"id": "python/three_independent_target/8/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [73, 15, -89, -54, -81, -20, -17, -78, -96, -44]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 83.\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\nDefine task_3_input = {\"result\": 8}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 11, 39, 80, -18, -47, -53, 95, 77, -38].\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": "[-54,11,39,77,-18,-53,-47,95,80,-38]", "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\":88},{\"node_id\":\"task_3\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-54,11,39,77,-18,-53,-47,95,80,-38]}]"} {"id": "python/three_independent_target/9/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-52, -72, -25, -86, 96, 38, -8, -72, -84, 75]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-95, 28, -100, 97, -36, 68, 92, -89, 83, 28]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":134},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/9/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-49, -27, -28, 65, 4, -27, -5, -83, 75, 95]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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_capacityA_static = 79.\nDefine task_2_capacityB_static = -40.\nTrace the execution of task_2 with inputs capacityA = task_2_capacityA_static, capacityB = task_2_capacityB_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], capacityA: int, capacityB: int) -> int:\n (a, b) = (capacityA, capacityB)\n ans = 0\n (i, j) = (0, len(list_2) - 1)\n while i < j:\n if a < list_2[i]:\n ans += 1\n a = capacityA\n a -= list_2[i]\n if b < list_2[j]:\n ans += 1\n b = capacityB\n b -= list_2[j]\n (i, j) = (i + 1, j - 1)\n ans += i == j and max(a, b) < 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\nDefine task_3_input = {\"result\": [-88, 79, -51, 93, -35, -53, 2, -26, 19, 97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/9/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 94}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-60, -79, 55, -25, -83, -71, -82, 6, -34, -27]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":89},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/9/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [38, -26, -2, -45, -63, 60, 8, -28, -52, -50]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [52, -25, -61, -11, 63, -50, 20, -5, 86, 44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[38,-14,-14,-45,-45,8,8,-28,-50,-50]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/9/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 38}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 82, -46, 21, 42, -44, -88, -19, -65, 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\nDefine task_3_input = {\"result\": [71, -79, 59, 34, 60, 41, -43, -41, -73, -21]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-88,82,-65,-46,-44,-26,-19,10,21,42]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/9/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-44, -96, 64, 62, 46, -70, 31, 56, 71, 14]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [37, -47, 71, 67, 44, 22, -12, -28, 13, 66]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":43},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/9/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 12}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 71, 85, 3, -51, -15, -86, 15, -27, -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\nDefine task_3_input = {\"result\": [27, 47, 27, 1, 53, -63, -61, -67, -43, 23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[57,71,85,3,-51,-27,-86,15,-15,-11]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/9/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -49}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 14, -38, 45, 72, 4, -75, -64, 7, -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) -> 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\nDefine task_3_input = {\"result\": [-60, 80, -89, -95, 64, 28, -41, 72, -81, 16]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/9/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [24, -55, 1, 10, -75, -36, 82, -97, -31, 59]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [70, 79, 43, 94, 65, -79, -41, 16, -5, 62]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[4,10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/9/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-29, 51, -95, 96, -8, 21, -50, 57, 7, 95]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-80, -83, 87, -45, 7, -70, -52, 59, -36, -14]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[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_independent_target/9/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 23}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 15, 4, 45, -36, 48, -52, -71, -68, -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\nDefine task_3_input = {\"result\": [54, -63, -52, 83, 45, -45, -51, 89, -12, 67]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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,-9,4,45,-71,48,-68,-52,-36,15]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/9/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [74, -20, -44, 10, 58, 53, -25, 87, 92, -41]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [41, 71, -80, -93, -90, 48, -60, -9, 48, -77]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":11}]"} {"id": "python/three_independent_target/9/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 89}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -23, -40, 99, -75, -65, -36, 13, -98, 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\nDefine task_3_input = {\"result\": [-56, -16, 99, 45, -22, -29, 52, 70, 92, -36]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-98,-75,-65,-40,-36,-23,-22,13,34,99]},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/9/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [84, -11, 52, 58, 80, -31, -83, -87, 56, -13]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [51, -77, -42, 75, -10, -83, -12, -25, 12, -51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-11},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/9/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [1, -2, 70, 25, 83, 12, -71, 87, -59, 36]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 13.\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\nDefine task_3_input = {\"result\": [-50, -2, -83, 37, -95, 20, -34, -17, -93, -69]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-67,8,-61]},{\"node_id\":\"task_2\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/9/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-100, -41, -68, 73, 59, 71, -65, 71, -17, 69]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [81, 26, -14, 5, 41, 45, 96, -76, 92, 34]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-87},{\"node_id\":\"task_2\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":326},{\"node_id\":\"task_3\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/10/0", "category": "python", "topology": "three_independent_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\": [-26, -44, -67, 42, -96, -31, -26, 44, 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]) -> 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\nDefine task_2_input = {\"result\": 12}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-31, 46, -26, 33, 14, -65, -52, 15, 59, 92].\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\nDefine task_3_input = {\"result\": [53, 48, -25, 35, -58, 60, -6, 57, 23, 86]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":1101},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/10/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 98}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -95, 70, 65, 63, 91, 92, -60, 60, 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\nDefine task_3_input = {\"result\": [-20, -94, -78, 86, 1, -63, -83, 81, 7, 96]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "157", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-99,-95,60,62,63,65,70,-60,91,92]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":157}]"} {"id": "python/three_independent_target/10/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 34}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -12, 26, -50, -100, 5, 88, -2, 5, -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\nDefine task_3_input = {\"result\": [-89, 69, -40, 56, -40, -82, -19, 51, -59, 83]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "107", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-12,-2,5,-100,-77,5,88,26,47,-50]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":107}]"} {"id": "python/three_independent_target/10/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 25}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -23, -75, -93, -26, -94, 20, -84, 46, 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\nDefine task_3_input = {\"result\": [-75, 43, 59, 84, -93, -5, 76, 12, 57, -33]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "190", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[95,-26,-94,-93,-23,-84,20,-75,24,46]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":190}]"} {"id": "python/three_independent_target/10/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [49, 8, -77, -17, 74, -74, 1, 47, 99, 85]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 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\nDefine task_3_input = {\"result\": [-29, -62, 76, -1, 49, -56, 62, 54, -58, -64]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "113", "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\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":4717},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":113}]"} {"id": "python/three_independent_target/10/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [27, -51, -90, 15, 82, -57, -2, 39, 39, -66]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-97, 42, 24, -2, 53, -65, 19, 9, -56, 48]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "231", "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\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-7,-5,-3,-1,1,3,5,6,7,9]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":231}]"} {"id": "python/three_independent_target/10/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -59}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [57, -45, -62, 97, 63, 42, -70, 2, -86, 56].\nDefine task_2_runningCost_static = -80.\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\nDefine task_3_input = {\"result\": [14, 92, 0, -56, 19, -88, -55, -3, -69, 3]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "199", "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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":199}]"} {"id": "python/three_independent_target/10/7", "category": "python", "topology": "three_independent_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\": [-84, 23, -69, 94, 25, -43, -81, -73, -56, 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.\nDefine task_1_target_static = 22.\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\nDefine task_2_input = {\"result\": [-70, 28, 73, -57, 7, 63, -100, -6, -16, -58]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-73, -73, 75, 42, -26, -3, 45, -54, 47, -4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "94", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":98},{\"node_id\":\"task_2\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":94}]"} {"id": "python/three_independent_target/10/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 48}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -17, -6, 17, -40, 18, -66, -86, 94, 56].\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\nDefine task_3_input = {\"result\": [-68, -81, 23, -87, 68, 7, -11, -13, -74, -22]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "134", "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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":94},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":134}]"} {"id": "python/three_independent_target/10/9", "category": "python", "topology": "three_independent_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\": -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_tokens_static = [-27, 79, -37, 9, 42, 58, -2, 79, 86, -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\nDefine task_2_input = {\"result\": -29}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [89, 43, 12, -60, 23, -6, 51, -63, -69, -72]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "39", "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,-28,57]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":39}]"} {"id": "python/three_independent_target/10/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-82, -75, 34, 94, -99, -70, -57, 63, -28, 90]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [28, 19, 11, 68, -50, 69, -84, -40, 20, -44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "75", "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\":[-82,-75,-99,-70,-57,63,90]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":75}]"} {"id": "python/three_independent_target/10/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [87, 85, -56, 10, -23, -36, 40, -11, -43, -100]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-44, 41, 98, 47, -29, -23, 9, -92, 89, 91]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "173", "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\":173}]"} {"id": "python/three_independent_target/10/12", "category": "python", "topology": "three_independent_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\": -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_plants_static = [-92, -14, -65, 5, 33, -97, 62, 37, 29, 11].\nDefine task_1_capacityB_static = 73.\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\nDefine task_2_input = {\"result\": [-91, 38, -23, 95, 99, -23, -20, -86, -29, -5]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-49, 54, -6, 49, -8, 3, 64, 22, 9, -89]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "161", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-91,7,8,95,95,-21,-22,-29,-29,-5]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":161}]"} {"id": "python/three_independent_target/10/13", "category": "python", "topology": "three_independent_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\": [-83, -22, 7, -50, -76, -30, 62, -100, 16, -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_nums2_static = [73, -59, 18, -36, 12, 78, -77, -6, 43, -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\nDefine task_2_input = {\"result\": [-34, -60, 0, -12, 5, -27, -48, 80, -66, 3]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [41, -78, -40, 8, -95, -57, 29, 77, 69, -85]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "192", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":999999958},{\"node_id\":\"task_2\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":192}]"} {"id": "python/three_independent_target/10/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [62, 85, 21, -74, 75, -12, 11, -68, -68, 79]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [12, 25, -12, 61, 75, -13, 23, -17, -54, -15]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "130", "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\":[1,10,2,1,7,1,4,2,2,8]},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":130}]"} {"id": "python/three_independent_target/10/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [84, -56, -32, -2, -12, 62, 70, 90, 100, 72]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-57, 54, 52, 33, 100, 78, 59, -18, -44, 25]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "98", "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\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":98}]"} {"id": "python/three_independent_target/11/0", "category": "python", "topology": "three_independent_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\": [-65, -85, 96, 86, -15, 79, 48, -66, 68, 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 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\nDefine task_2_input = {\"result\": [93, -6, 55, 1, -94, -49, 18, -28, 38, 32]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [88, 97, 74, -35, 69, 9, 12, 17, 24, 87]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[97,88,74,12,9,9,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1,10,7,1,6,2,1,4,1]},{\"node_id\":\"task_2\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[18,1]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[97,88,74,12,9,9,0,0,0,0]}]"} {"id": "python/three_independent_target/11/1", "category": "python", "topology": "three_independent_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\": [-83, 0, -22, 68, 58, 19, -47, -26, -37, -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 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\nDefine task_2_input = {\"result\": [31, 41, -35, -23, 42, -27, -67, 24, -99, -22]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [18, 58, 42, 77, 19, -64, 89, 28, 11, -13]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[89,42,42,19,18,0,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":16},{\"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\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[89,42,42,19,18,0,0,0,0,0]}]"} {"id": "python/three_independent_target/11/2", "category": "python", "topology": "three_independent_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\": 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 = [93, -35, -10, -45, 12, 0, 24, 56, -2, -28].\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\nDefine task_2_input = {\"result\": 56}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-30, -4, -2, -83, -6, 93, 27, -56, 4, -9].\nDefine task_2_passengers_static = [-16, -13, -67, 35, 77, -36, 17, 56, 11, 95].\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\nDefine task_3_input = {\"result\": [78, -57, 85, 73, 49, 67, 81, -65, -75, -43]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[85,73,49,49,49,0,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":2305},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":93},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[85,73,49,49,49,0,0,0,0,0]}]"} {"id": "python/three_independent_target/11/3", "category": "python", "topology": "three_independent_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\": [-42, -5, 31, -72, 3, 11, 25, -76, 56, -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_s_static = [71, 24, -39, 23, -82, -74, 48, 41, 66, -17].\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\nDefine task_2_input = {\"result\": [-90, 92, 52, 85, -15, -54, 39, 8, -31, -94]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [5, 20, -59, -60, -85, 55, 18, 12, 17, 20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[55,18,12,12,12,0,0,0,0,0]", "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\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-219},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[55,18,12,12,12,0,0,0,0,0]}]"} {"id": "python/three_independent_target/11/4", "category": "python", "topology": "three_independent_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\": 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.\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\nDefine task_2_input = {\"result\": [93, -23, 7, -3, 94, 2, 46, 34, 66, 92]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -39.\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\nDefine task_3_input = {\"result\": [40, -95, 60, 17, 54, 17, 6, -63, 66, -25]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[66,17,17,17,6,0,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":11},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[93,-23,7,-3,94,2,46,34,66,92]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[66,17,17,17,6,0,0,0,0,0]}]"} {"id": "python/three_independent_target/11/5", "category": "python", "topology": "three_independent_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\": [45, -99, -15, -29, -26, -47, -86, -97, -42, -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 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\nDefine task_2_input = {\"result\": [23, 3, 20, -24, -51, 68, -25, 65, 62, -20]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 75.\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\nDefine task_3_input = {\"result\": [-7, 13, 82, 19, 15, 48, 14, -51, 66, 38]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[82,38,15,15,14,13,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[0,1,0,1,0,3,2,1,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":9124},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[82,38,15,15,14,13,0,0,0,0]}]"} {"id": "python/three_independent_target/11/6", "category": "python", "topology": "three_independent_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\": [31, 62, -47, -80, 69, -13, -55, -54, 71, -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 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\nDefine task_2_input = {\"result\": [10, -10, 87, 95, -16, -24, -23, -27, -89, -66]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [40, 64, -62, -81, 77, 30, 8, 91, 94, 99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[99,94,91,8,8,8,0,0,0,0]", "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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[87,95]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[99,94,91,8,8,8,0,0,0,0]}]"} {"id": "python/three_independent_target/11/7", "category": "python", "topology": "three_independent_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\": [96, -53, -8, 90, 90, -29, 53, 30, 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.\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\nDefine task_2_input = {\"result\": [4, 69, -24, 87, -38, -84, 45, 21, -87, -64]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-91, 71, -74, -47, -94, -72, 18, 9, 31, 55].\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\nDefine task_3_input = {\"result\": [30, 65, -93, 96, 27, 3, 36, 31, -31, -26]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[96,31,3,3,3,0,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[10,1,2,9,9,1,3,1,5,1]},{\"node_id\":\"task_2\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[96,31,3,3,3,0,0,0,0,0]}]"} {"id": "python/three_independent_target/11/8", "category": "python", "topology": "three_independent_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\": [-23, -9, -82, 59, 58, -49, 76, -95, 11, 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_initialEnergy_static = 34.\nDefine task_1_initialExperience_static = -2.\nDefine task_1_experience_static = [30, -31, -23, -5, 2, 65, -82, 56, 46, -31].\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\nDefine task_2_input = {\"result\": 20}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -57, -50, -73, -63, 31, -72, -85, -75, -11].\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\nDefine task_3_input = {\"result\": [39, 19, 29, -39, 86, 45, 57, 13, 2, -21]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[86,45,45,13,2,0,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":103},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":63},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[86,45,45,13,2,0,0,0,0,0]}]"} {"id": "python/three_independent_target/11/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [56, 49, -34, -74, -36, -8, -32, -22, -38, 65]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, -3, 81, 58, -35, 21, 56, 52, -51, -17].\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\nDefine task_3_input = {\"result\": [96, 49, 67, 53, 12, 18, -32, 63, -9, -97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[96,53,49,49,12,12,0,0,0,0]", "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\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":365},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[96,53,49,49,12,12,0,0,0,0]}]"} {"id": "python/three_independent_target/11/10", "category": "python", "topology": "three_independent_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\": 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 = [56, -33, -98, -76, -62, 18, -93, -78, 6, 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\nDefine task_2_input = {\"result\": -46}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 2.\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\nDefine task_3_input = {\"result\": [62, 67, -70, 68, 96, 78, 20, 27, -63, -94]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[96,78,68,20,20,0,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-98,-93,-78,-76,-62,-33,6,18,40,56]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-45,-32]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[96,78,68,20,20,0,0,0,0,0]}]"} {"id": "python/three_independent_target/11/11", "category": "python", "topology": "three_independent_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\": [-55, -88, 24, -93, -48, 60, -61, 85, -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]) -> 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\nDefine task_2_input = {\"result\": -10}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-14, 85, -51, 97, 32, 22, 19, 18, -75, 25]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[97,32,22,19,18,0,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-9]},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[97,32,22,19,18,0,0,0,0,0]}]"} {"id": "python/three_independent_target/11/12", "category": "python", "topology": "three_independent_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\": [-41, 79, -53, 23, -10, -89, 48, -72, 45, 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\nDefine task_2_input = {\"result\": [78, 5, -66, 83, 6, -56, 63, -25, -1, 41]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-12, 78, -11, -70, -52, -40, -34, 1, 81, 34].\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\nDefine task_3_input = {\"result\": [53, -34, -40, -27, 3, 43, 27, 24, 60, 75]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[75,60,24,24,24,3,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,10,1,4,2,1,7,1,2,8]},{\"node_id\":\"task_2\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[75,60,24,24,24,3,0,0,0,0]}]"} {"id": "python/three_independent_target/11/13", "category": "python", "topology": "three_independent_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\": -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_arr_static = [-45, 93, -75, -74, -95, -46, -22, 95, 29, 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 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\nDefine task_2_input = {\"result\": [-61, 27, -18, 75, 7, 87, -33, -59, -29, -21]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [24, -63, -52, 44, 93, 34, 44, 80, -13, 35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[93,44,34,34,34,0,0,0,0,0]", "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\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[93,44,34,34,34,0,0,0,0,0]}]"} {"id": "python/three_independent_target/11/14", "category": "python", "topology": "three_independent_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\": -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 = [-11, -65, 24, 2, -83, 4, 93, -75, -50, -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\nDefine task_2_input = {\"result\": [-47, -87, 77, -16, 50, 11, -67, 41, 57, 52]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 (l, r) = (0, len(list_2) - 1)\n ans = 0\n while l < r:\n t = min(list_2[l], list_2[r]) * (r - l)\n ans = max(ans, t)\n if list_2[l] < list_2[r]:\n l += 1\n else:\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\nDefine task_3_input = {\"result\": [-22, -41, -3, 48, 18, 41, 93, 81, -82, 76]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[93,81,41,18,18,0,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-11,-65,24,2,-83,4,93,-75,-50,-63]},{\"node_id\":\"task_2\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":364},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[93,81,41,18,18,0,0,0,0,0]}]"} {"id": "python/three_independent_target/11/15", "category": "python", "topology": "three_independent_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\": -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 = [-72, 50, -24, -45, -98, -93, -9, 48, -11, -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\nDefine task_2_input = {\"result\": [-19, -51, 78, -50, 42, 55, 84, -25, 78, -42]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -5.\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\nDefine task_3_input = {\"result\": [-10, 42, 58, 49, 85, 4, -29, -88, 37, -73]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[85,49,49,42,4,0,0,0,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-72,50,-24,-45,-98,-93,-9,48,-11,-66]},{\"node_id\":\"task_2\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":84},{\"node_id\":\"task_3\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[85,49,49,42,4,0,0,0,0,0]}]"} {"id": "python/three_independent_target/12/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [39, 83, 13, 28, 24, 93, -41, -52, 90, 55]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [39, -69, 9, -25, -33, 96, 29, -75, -92, -87]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-20,-46,-83,-10,48,-36,19,69,54,-35]},{\"node_id\":\"task_2\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/12/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 73}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, 66, 41, 19, -90, 57, -98, -96, 76, 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\nDefine task_3_input = {\"result\": [38, -41, 33, -7, 87, -98, -9, 16, -31, -59]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":76},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/12/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-23, 49, 44, 92, 32, -47, 91, -59, 49, 12]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-34, -57, 75, 70, 95, -44, -55, -10, -52, 56]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[263,237,144,8,116,101,145,177,167,228]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/12/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [11, -28, 50, -18, 93, -90, -51, -53, 64, 84]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [77, 23, -63, 80, 7, -100, 39, -47, -10, 5]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-393},{\"node_id\":\"task_2\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":128},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/12/4", "category": "python", "topology": "three_independent_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\": 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 = [-40, 54, 76, -8, 75, -29, 34, 63, -14, 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\nDefine task_2_input = {\"result\": -73}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [9, -34, -28, 7, 23, -24, -35, 81, -53, -10].\nDefine task_2_passengers_static = [-9, 66, 64, 90, -48, 39, -28, 68, -94, -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\nDefine task_3_input = {\"result\": [-50, -40, -32, -49, 8, -78, 31, -47, 86, 84]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-40,-29,-14,-8,7,34,54,63,75,76]},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":81},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/12/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 4}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 24, 90, -69, 30, -68, -67, -25, 7, -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\nDefine task_3_input = {\"result\": [9, 58, -25, 9, -52, 81, -72, 58, -92, -44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "8", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[30,24,90,-69,32,-68,-67,-25,7,-80]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/12/6", "category": "python", "topology": "three_independent_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\": 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 = -33.\nDefine task_1_energy_static = [-42, -85, -4, -68, -90, 6, 43, -93, 24, -64].\nDefine task_1_experience_static = [34, -92, 60, -86, -47, -70, 26, -48, 1, -32].\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\nDefine task_2_input = {\"result\": [79, -31, -69, -23, -73, 77, 47, 63, 23, 59]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [96, 100, -11, -79, 73, 6, 7, -40, -72, -62]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":261},{\"node_id\":\"task_2\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[23,-23]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/12/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 13}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [66, 60, 30, -96, -15, 64, 86, 29, -9, 72]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "3", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-43,14,-31]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/12/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-92, -72, -23, 43, 80, 24, -41, -42, 83, 55]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [86, 51, -77, -22, 64, 83, 39, -68, -46, -100]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "3", "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\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/12/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 58}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -91, 52, 30, 89, -49, -9, 89, -31, -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\nDefine task_3_input = {\"result\": [-85, 40, 49, 44, -42, -32, -47, -16, -24, -29]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":39},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-91,-49,-37,-31,-22,-9,30,52,89,89]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/12/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [15, -60, -23, 21, 29, 19, 64, -50, 26, -47]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-76, 73, 90, -67, 5, -19, -7, 63, 59, 90]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-172},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/12/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [53, 82, -44, -33, -69, 25, 24, -5, -95, 39]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [55, 84, -93, 29, -36, 49, 46, 90, 93, 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\nDefine task_3_input = {\"result\": [10, -48, 70, 11, 1, 75, -47, 36, -28, 7]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":25},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[37,93,90,46,49,-36,29,-93,84,55,53,82,-44,-33,-69,25,24,-5,-95,39]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/12/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-44, -53, 41, -56, 15, -41, 67, -6, 25, -70]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [18, 49, -71, -39, -92, -79, -84, -19, -16, -75]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":[78,19,31,46,87,113,87,26,7,52]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/12/13", "category": "python", "topology": "three_independent_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\": 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 = -84.\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\nDefine task_2_input = {\"result\": [-23, 69, 40, 65, -52, 30, -29, 8, -97, -1]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [62, -27, 100, 32, -15, 23, -44, 23, 67, 4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-83,4,-81,10,-75,28,-57,82,-3]},{\"node_id\":\"task_2\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/12/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-98, 54, 57, 67, -35, 65, -39, 55, 36, 10]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-47, 32, 75, -56, -47, 82, 2, -45, 34, 49]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[54,57,67,-1,65,67,55,57,54,54]},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/12/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-91, 82, 24, 42, -93, -12, -14, -24, 69, 80]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [69, 1, 97, -79, 44, -96, 40, 63, -80, -29]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":80},{\"node_id\":\"task_3\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/13/0", "category": "python", "topology": "three_independent_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\": [63, -30, 70, 79, -54, -9, -64, -60, 27, 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 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\nDefine task_2_input = {\"result\": [91, -19, -84, 57, -96, -67, 88, -31, 38, 10]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-27, -72, 2, -54, -84, 13, 50, 24, 30, 48]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-33, -65, -83, 49, -55, 70, 65, 96, 62, -80].\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\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-19},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/13/1", "category": "python", "topology": "three_independent_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\": 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_plants_static = [-46, 21, 43, -97, 7, -8, 55, -12, -6, 25].\nDefine task_1_capacityB_static = -36.\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\nDefine task_2_input = {\"result\": -90}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [28, -78, -36, -36, -67, -72, 47, -69, -68, 38]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [85, 67, 61, 52, -51, -8, 90, 59, 45, 82].\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": "11", "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,-56,-89,-147]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":11}]"} {"id": "python/three_independent_target/13/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-42, -50, 27, -9, 72, 26, -29, -83, 1, -84]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [27, 67, 15, 3, -18, 14, 60, 83, 40, -96]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [94, -93, 79, -6, -99, 65, 1, -47, -43, 82].\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\":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\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/13/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -72}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [93, 27, -96, -41, -13, -41, -96, 63, -12, 47]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-45, -100, 73, 5, -81, 47, 96, 4, 73, 81].\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\":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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,46,-71,-27]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/13/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -46}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [38, 38, -88, -80, -90, -52, -88, -44, -40, -30]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [27, 51, 76, -90, -30, -30, -99, 73, 70, 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 (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\":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,-22]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/13/5", "category": "python", "topology": "three_independent_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\": [-37, -52, -96, 38, 19, -97, 43, -42, 83, 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 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\nDefine task_2_input = {\"result\": 81}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -4, 78, 80, -11, -6, -93, -33, 57, -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\nDefine task_3_input = {\"result\": [74, -98, -29, 96, -31, 27, -63, -5, 95, 6]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -32, -37, -5, -57, 38, 15, -49, -56, 0].\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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[14,75,223,281,224,302,356,355,314,141]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-99,-93,-33,-28,-11,-6,-4,57,78,80]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/13/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 15}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [1, -55, -87, 99, 1, 85, -53, -23, -22, -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\nDefine task_3_input = {\"result\": [-18, -17, 66, -59, -73, 43, 18, -59, -95, 82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 83, -87, 69, 84, 44, -18, -14, -51, -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 (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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":185},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/13/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [77, -92, -20, -40, -84, -48, -89, 29, -67, 83]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [6, -78, 59, -42, 22, -56, 68, 87, 85, 59]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 62, -23, -79, -94, 60, -12, -70, -16, -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 (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\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-48,-92,-20,-40,-84,77,-89,29,-67,83]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/13/8", "category": "python", "topology": "three_independent_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\": [40, 8, -80, -75, -63, 41, 87, 7, -1, -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 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\nDefine task_2_input = {\"result\": -8}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -98, -50, 9, -76, 15, 19, -12, 58, 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) -> 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\nDefine task_3_input = {\"result\": [94, 61, 88, 80, 45, -49, 62, 9, -1, 8]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 87, 5, 4, 57, -85, -76, 91, 91, -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 (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\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[41,41,-75,-63,41,87,-1,40,40,40]},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":92},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/13/9", "category": "python", "topology": "three_independent_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\": [92, 55, 60, 34, 61, -2, 30, 0, -98, 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 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\nDefine task_2_input = {\"result\": 57}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-53, 30, 60, 55, -77, 93, 13, 4, -11, -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\nDefine task_3_input = {\"result\": [-40, -75, 42, 44, 10, 71, 17, 31, 11, -80]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [63, -64, -18, 39, -67, -41, -85, -32, 26, -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": "4", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-98,52]},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/13/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -17}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -16, 7, -45, 75, 44, -6, 68, 96, 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\nDefine task_3_input = {\"result\": [-75, -74, 63, -36, -76, -71, -3, -31, 77, 78]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-35, 84, 87, -86, -12, 59, -48, -8, 8, 71].\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,-16,7,-45,75,44,-6,68,96,90]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/13/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 26}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 63, 40, 62, -27, 8, -95, 54, 13, 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\nDefine task_3_input = {\"result\": [41, 28, 41, -19, -22, 68, 91, 81, 7, -31]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-50, 94, 67, -96, 64, 9, 96, -39, -45, 76].\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\":[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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-62,8,13,30,-27,40,-95,54,62,63]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/13/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-16, -22, -74, 83, 13, -14, 9, -55, -17, -22]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [20, 98, 93, 77, -21, 32, 16, -55, 28, -16]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [85, 46, -2, -1, -32, 95, -60, 12, -50, -90].\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\":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\":[99,61,35,26,70,69,64,18,54,93]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/13/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 20}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [77, -51, -56, 42, -48, -86, 10, 58, 35, 83].\nDefine task_2_runningCost_static = 40.\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\nDefine task_3_input = {\"result\": [-39, -29, 73, -78, 13, -65, 2, 63, 38, 48]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -63, -90, 45, 87, -14, -42, -92, -100].\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\":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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/13/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [11, -1, 65, 59, -13, -87, 41, 69, -96, -38]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-55, -82, 40, 5, 20, -56, -98, -82, -64, -84]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -31, -73, 61, -72, 3, -99, -89, 17, 65].\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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/13/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 31}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -37, -66, -55, 82, -91, 15, 46, -47, -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\nDefine task_3_input = {\"result\": [-65, -78, 81, -46, 32, 81, 85, 74, 63, 52]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 1, 12, 5, 6, -17, 86, -50, 16, -62].\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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[15,-100,-91,-66,82,-55,31,46,-47,-37]},{\"node_id\":\"task_3\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/14/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 78}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [21, -81, 50, -63, 22, 20, 88, -69, 85, -19]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":28},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":88}]"} {"id": "python/three_independent_target/14/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [51, 29, 52, -94, 17, 54, 89, 75, 42, -37]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-18, -92, -6, 35, -67, 42, 10, -66, -21, 33]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "42", "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\":[51,41,40,17,17,54,75,75,42,-37]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":42}]"} {"id": "python/three_independent_target/14/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -35}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -70, -29, 80, -98, 87, 21, -53, 58, -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) -> 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\nDefine task_3_input = {\"result\": [-91, 7, 26, -88, 60, 37, -74, 42, -24, -50]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "60", "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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":60}]"} {"id": "python/three_independent_target/14/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [19, -24, -27, 20, -52, -54, 15, 5, 22, -55]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-22, 64, -8, 15, -91, -20, -12, 40, -65, -40]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-24,-27,-52,-54,-55]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":104}]"} {"id": "python/three_independent_target/14/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [82, 84, -39, 12, -95, -15, -81, -26, 33, -13]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-9, 7, 58, 84, -28, 22, -82, 68, -13, 80]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "84", "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\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":60},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":84}]"} {"id": "python/three_independent_target/14/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-10, -92, 37, 95, 97, 48, 28, -66, 6, 55]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 76.\nDefine task_2_runningCost_static = 60.\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\nDefine task_3_input = {\"result\": [28, -89, -9, -36, 4, 39, -33, 29, 45, -61]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "45", "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\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":77},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":45}]"} {"id": "python/three_independent_target/14/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 87}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [95, 92, -6, -27, -15, 87, 18, 100, 26, 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 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\nDefine task_3_input = {\"result\": [39, 73, 1, 1, -51, -13, 84, -50, 20, -4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "84", "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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":35496},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":84}]"} {"id": "python/three_independent_target/14/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 44}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [52, -76, -7, 91, 60, 83, -6, 97, -12, 87]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "131", "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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":44},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":131}]"} {"id": "python/three_independent_target/14/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [74, -66, 14, 42, -14, 60, -74, 93, 9, -54]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [3, -81, 47, 59, -53, 18, 34, -3, -42, 53]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "59", "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\":[7,1,2,4,1,6,1,10,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":59}]"} {"id": "python/three_independent_target/14/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [48, 100, -26, 16, 84, -39, -70, -42, -50, 32]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [12, 97, -55, 44, -75, 23, -18, -11, 76, 65]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "132", "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\":132}]"} {"id": "python/three_independent_target/14/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 16}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 9.\nDefine task_2_energy_static = [-90, 76, 25, -66, 70, 19, 31, 70, 92, -14].\nDefine task_2_experience_static = [44, -85, -59, -64, -19, -24, -2, 78, 94, 7].\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\nDefine task_3_input = {\"result\": [82, -7, 18, 99, 48, -97, -73, 96, -91, 39]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":144},{\"node_id\":\"task_2\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":477},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":99}]"} {"id": "python/three_independent_target/14/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [100, 48, 30, -53, 30, -9, -4, 7, -86, 6]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [57, 76, 5, -14, 84, 73, -10, -16, 88, -64]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "131", "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\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,10,8,1,8,1,2,5,1,2]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":131}]"} {"id": "python/three_independent_target/14/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 8}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 92, 61, -69, -40, 70, -9, 60, -88, -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\nDefine task_3_input = {\"result\": [-12, -39, 78, -98, 17, 20, 55, 23, 38, 11]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "78", "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\":[16,92,60,-69,-40,70,-15,61,-88,-9]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":78}]"} {"id": "python/three_independent_target/14/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [63, 9, 29, 9, 39, -86, 37, 22, -67, -97]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-83, -44, 43, -91, -7, -97, 53, 2, 43, -44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "53", "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\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-1,29,39,39,63,37,63,63,63,63]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":53}]"} {"id": "python/three_independent_target/14/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -9}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-84, 15, -46, 52, -32, -1, -17, -41, 8, -86]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "52", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-42,-8,-52]},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":52}]"} {"id": "python/three_independent_target/14/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -66}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-45, -23, 37, -91, 66, 22, -2, 40, -80, 29].\nDefine task_2_passengers_static = [52, -8, 1, 83, 12, 41, 71, 4, 39, 61].\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\nDefine task_3_input = {\"result\": [-75, -97, 64, 89, -75, -46, 92, 73, 6, -79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":66},{\"node_id\":\"task_3\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":92}]"} {"id": "python/three_independent_target/15/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [98, 54, -47, 60, 83, -55, -8, -17, 21, -8]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [31, -31, 88, 33, -66, -60, 26, 82, 67, -96]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "21", "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\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":21}]"} {"id": "python/three_independent_target/15/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [35, -53, 26, -25, 6, -69, -61, 56, -8, 79]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 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\nDefine task_3_input = {\"result\": [-24, -1, -28, 48, 1, 57, -47, 83, 65, 49]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-5,37,-215,-84,-91,-49,-301]},{\"node_id\":\"task_2\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":79},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":16}]"} {"id": "python/three_independent_target/15/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 43}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-52, 53, -54, -73, 90, 55, 52, -15, 61, -89]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,4,10,28,39,41,47,65]},{\"node_id\":\"task_2\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":39},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":20}]"} {"id": "python/three_independent_target/15/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-85, 25, 61, 86, -61, 47, -4, 15, 85, -33]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 (l, r) = (0, len(list_2) - 1)\n ans = 0\n while l < r:\n t = min(list_2[l], list_2[r]) * (r - l)\n ans = max(ans, t)\n if list_2[l] < list_2[r]:\n l += 1\n else:\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\nDefine task_3_input = {\"result\": [-90, 44, -95, 45, -46, -42, -88, 27, -58, 61]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":425},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":15}]"} {"id": "python/three_independent_target/15/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 70}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [66, -98, 17, -45, 43, 55, 67, -1, -74, 7]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-19]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":20}]"} {"id": "python/three_independent_target/15/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 79}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [12, 88, -58, -86, -25, 91, -78, 61, -21, 32]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "18", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,68,80]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":18}]"} {"id": "python/three_independent_target/15/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -60}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-87, -20, 97, -80, 12, 18, -36, 28, -76, -82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-81,-21,-104]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,9,-59,-52,4]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":19}]"} {"id": "python/three_independent_target/15/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -44}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 12, 97, -75, 12, -88, -92, 18, -90, -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\nDefine task_3_input = {\"result\": [-74, -82, 0, -42, 34, 12, 92, 12, -53, -64]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[25,12,97,-75,12,-88,-92,18,-90,-57]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":19}]"} {"id": "python/three_independent_target/15/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 6}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -21, -89, 41, -98, -15, -23, -18, 41, -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\nDefine task_3_input = {\"result\": [-96, 88, 67, 63, 90, 95, -3, -2, -87, 80]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "18", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[96,-23,-89,41,-98,-21,-18,-15,41,-30]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":18}]"} {"id": "python/three_independent_target/15/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 58}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [17, -7, -30, -73, 83, -14, 20, 15, -33, -46]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "23", "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\":[2,37,59]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":23}]"} {"id": "python/three_independent_target/15/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 17}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [93, -71, 17, 95, 48, 33, -62, -37, -52, -32].\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\nDefine task_3_input = {\"result\": [-90, -68, -21, -9, 61, -54, -47, -11, 56, 9]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "26", "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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":17},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":26}]"} {"id": "python/three_independent_target/15/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [12, -11, 90, 98, -63, 4, -99, 44, 58, 89]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -72.\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\nDefine task_3_input = {\"result\": [-76, 75, 16, 85, -94, -1, -66, -4, -55, 96]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":58},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":15}]"} {"id": "python/three_independent_target/15/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-87, -52, 55, 55, 46, -68, 5, -73, -43, -54]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-34, -9, 6, -25, 93, -81, 65, -63, 81, -46]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-51]},{\"node_id\":\"task_2\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999996873},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":16}]"} {"id": "python/three_independent_target/15/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [85, 46, -79, 94, -75, -27, -61, 45, 96, -79]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [25, -9, 31, 55, 19, -37, 26, 75, 29, -86]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":[96,46,94,-79,-75,-27,-61,45,85,-79]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":19}]"} {"id": "python/three_independent_target/15/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-40, 37, 48, 85, -31, -69, 23, -8, 28, -39]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-90, -45, -70, 42, 42, 14, -37, -92, 16, 26]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "21", "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\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":21}]"} {"id": "python/three_independent_target/15/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 99}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -94, 80, -3, 32, -46, -40, 6, 95, 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\nDefine task_3_input = {\"result\": [-1, 79, -91, -62, -68, 71, 27, 29, 28, -43]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[24,-24]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-94,-46,-40,-3,6,8,31,32,80,95]},{\"node_id\":\"task_3\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":16}]"} {"id": "python/three_independent_target/16/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -89}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 66, 22, -37, 6, 74, 67, 95, 67, 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\nDefine task_3_input = {\"result\": [83, 41, 43, 3, 37, 82, 49, 81, 48, -70]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[83,41,43,3,37,82,49,81]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-21,66,22,-37,6,74,67,95,67,14]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[83,41,43,3,37,82,49,81]}]"} {"id": "python/three_independent_target/16/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-9, -80, -27, 85, -26, -13, -48, 29, -75, 85]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [28, 41, 45, 31, -67, -85, -32, -98, 54, 11]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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,-85,-32,-98,54,11]", "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\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-67,-85,-32,-98,54,11]}]"} {"id": "python/three_independent_target/16/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-98, -5, 44, 77, 88, -93, -39, -68, -34, -71]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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\nDefine task_3_input = {\"result\": [-25, 21, 31, -70, -13, 80, 57, -82, 6, 55]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-25,-70,-13,-82,6,55]", "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\":[-98,-5,44,77,88,-93,-39,-68,-34,-71]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-25,-70,-13,-82,6,55]}]"} {"id": "python/three_independent_target/16/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [41, -14, -40, -75, 38, 100, -83, 73, -76, 73]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-65, -47, 43, 70, 81, 53, -98, 59, 31, -15]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-65,-47,-98,59,31]", "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\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-65,-47,-98,59,31]}]"} {"id": "python/three_independent_target/16/4", "category": "python", "topology": "three_independent_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\": 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 = [25, 98, -27, 44, 97, 86, 19, 70, -89, 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\nDefine task_2_input = {\"result\": [-92, -75, -57, 71, -58, -13, -9, 90, -93, -35]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-88, 54, -30, -28, 95, 34, -5, 3, 31, 45]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-88,54,95,34,3,31,45]", "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\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-88,54,95,34,3,31,45]}]"} {"id": "python/three_independent_target/16/5", "category": "python", "topology": "three_independent_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\": -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 = [-26, -32, 0, -15, 3, -50, -7, 59, 89, -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\nDefine task_2_input = {\"result\": [83, -30, -36, 13, -78, 37, -56, 6, -47, -4]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [48, -18, 45, 94, 78, 51, 0, -16, 60, -42]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[48,45,94,78,51,60]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-26,-32,0,-15,3,-50,-7,59,89,-45]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[0,2,1,2,1,0,1,0,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[48,45,94,78,51,60]}]"} {"id": "python/three_independent_target/16/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -51}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [97, -36, 25, 64, 22, -26, 92, 7, -43, -1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[97,25,64,92]", "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\":[2,73,-50,21]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[97,25,64,92]}]"} {"id": "python/three_independent_target/16/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -73}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 22, -30, 68, -9, 93, -2, -7, -48, -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\nDefine task_3_input = {\"result\": [-19, -39, -25, -17, 39, -29, -65, 38, -94, -73]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-19,-39,-25,-17,-65,-94,-73]", "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\":[-55,22,-30,68,-9,93,-2,-7,-48,-78]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-19,-39,-25,-17,-65,-94,-73]}]"} {"id": "python/three_independent_target/16/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-24, -96, -97, -14, -35, -13, 19, 36, -79, -53]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-78, 72, -18, -91, 44, 67, 14, -97, 96, 35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-78,-91,-97,96,35]", "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\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[169,1225,196,361,9409,9216,576,1296,6241,2809]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-78,-91,-97,96,35]}]"} {"id": "python/three_independent_target/16/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -23}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [79, -80, 29, 29, -53, 42, 2, -53, -32, -68]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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,-53,-53,-32,-68]", "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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-32},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-80,-53,-53,-32,-68]}]"} {"id": "python/three_independent_target/16/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 6}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [2, 33, -35, -22, -16, -85, -99, -52, -35, 60].\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\nDefine task_3_input = {\"result\": [-36, 93, 31, 58, -64, 82, -41, 55, 34, 12]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-36,93,82,55,34,12]", "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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":15},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-36,93,82,55,34,12]}]"} {"id": "python/three_independent_target/16/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 19}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 93, 32, 37, -18, -67, 36, -49, -32, 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\nDefine task_3_input = {\"result\": [86, 61, -84, -32, -56, -69, -100, -45, 84, 57]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[86,84,57]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-93,93,32,36,-67,-49,36,-32,-18,37]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[86,84,57]}]"} {"id": "python/three_independent_target/16/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [78, -88, 3, 26, -82, 55, -13, 8, 16, -8]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-51, -58, -98, -83, -70, -55, 4, -13, 10, 48].\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\nDefine task_3_input = {\"result\": [45, -95, -23, 29, -55, -97, 50, -94, 22, -24]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-95,-23,-55,-97,-94,-24]", "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\":[1,1,25,-146,-95,-57,-152,0,-9,-6,23,38]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-95,-23,-55,-97,-94,-24]}]"} {"id": "python/three_independent_target/16/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-93, 76, -65, 75, -53, -54, -70, -86, -58, 87]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-42, -18, 60, -79, 72, -11, 20, 52, 86, -20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-42,-18,-79,72,20,52,86]", "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\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-65},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-42,-18,-79,72,20,52,86]}]"} {"id": "python/three_independent_target/16/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 32}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [68, -5, -45, -24, 25, -23, -56, -51, 68, -80].\nDefine task_2_passengers_static = [-65, 100, 45, -8, -3, -61, -7, 64, 25, -95].\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\nDefine task_3_input = {\"result\": [-52, -9, 8, -70, -57, -66, -87, 18, -58, 52]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-52,-9,-70,-57,-66,-87,-58,52]", "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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":68},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-52,-9,-70,-57,-66,-87,-58,52]}]"} {"id": "python/three_independent_target/16/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 46}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [71, 68, -15, -28, -96, -62, -25, 36, 39, 69]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-96,-62,-25,36,39,69]", "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,-10]},{\"node_id\":\"task_3\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-96,-62,-25,36,39,69]}]"} {"id": "python/three_independent_target/17/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [79, -73, -14, -59, -65, 96, -95, 13, 98, -96]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [81, -30, 15, 17, -94, 0, 69, -5, 88, -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 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\nDefine task_3_input = {\"result\": [-2, 29, 46, -26, 27, -12, -33, -59, -82, 34]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-82,-67,-35,-23,-7,18,32,43,65,79]},{\"node_id\":\"task_2\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":49},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/17/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-91, 79, 79, -24, -23, 31, -84, -88, -60, 13]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [53, 74, -90, 72, 96, -50, 42, 70, 48, -13]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":137},{\"node_id\":\"task_2\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/17/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 12}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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\nDefine task_3_input = {\"result\": [75, 45, 24, -65, -9, -70, 41, 49, 79, -48]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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,-4,26,-124,13,7,37,-113]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/17/3", "category": "python", "topology": "three_independent_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\": 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 = [41, 46, 60, 88, 30, 17, 4, -68, -41, -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\nDefine task_2_input = {\"result\": 0}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 67.\nDefine task_2_energy_static = [93, 37, -68, -88, 62, 94, -10, 56, 7, -42].\nDefine task_2_experience_static = [-49, -38, -49, -77, -4, -46, 96, 19, 7, 43].\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\nDefine task_3_input = {\"result\": [29, 0, 7, -70, 43, 88, -66, 84, -13, -11]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-68,-41,-29,4,17,30,41,46,60,88]},{\"node_id\":\"task_2\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":435},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/17/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-51, 97, -33, 25, -43, 31, -89, -37, 6, 12]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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_capacityA_static = 26.\nDefine task_2_capacityB_static = 26.\nTrace the execution of task_2 with inputs capacityA = task_2_capacityA_static, capacityB = task_2_capacityB_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], capacityA: int, capacityB: int) -> int:\n (a, b) = (capacityA, capacityB)\n ans = 0\n (i, j) = (0, len(list_2) - 1)\n while i < j:\n if a < list_2[i]:\n ans += 1\n a = capacityA\n a -= list_2[i]\n if b < list_2[j]:\n ans += 1\n b = capacityB\n b -= list_2[j]\n (i, j) = (i + 1, j - 1)\n ans += i == j and max(a, b) < 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\nDefine task_3_input = {\"result\": [87, 59, -47, -84, 91, 79, 97, -59, 25, -1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":99},{\"node_id\":\"task_2\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/17/5", "category": "python", "topology": "three_independent_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\": [-47, -40, -7, 93, -14, -69, -31, -58, 48, 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\nDefine task_2_input = {\"result\": [86, 22, 76, -92, 70, -49, -58, 73, 83, -28]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-45, -81, -54, 89, -78, 78, 58, -41, 42, -70]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10},{\"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\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/17/6", "category": "python", "topology": "three_independent_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\": 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 = [45, -76, 8, -41, 78, 31, 14, -75, 75, 87].\nDefine task_1_runningCost_static = 44.\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\nDefine task_2_input = {\"result\": [-1, -95, -88, -23, 22, 24, -44, -28, 39, -46]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-32, -34, 75, -67, -94, 24, 65, 46, -43, -77]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":57},{\"node_id\":\"task_2\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[22,-1]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/17/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -19}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 10, -82, -13, 42, 12, -90, 78, -17, -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\nDefine task_3_input = {\"result\": [12, 87, -1, 2, -67, 81, -39, -10, 7, 47]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-43,10,-82,-13,42,12,-90,78,-17,-66]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/17/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -44}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [83, 83, 34, -100, -18, -38, -45, -78, 78, -13].\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\nDefine task_3_input = {\"result\": [-24, 19, 60, -30, -66, -92, 81, -35, -6, 9]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/17/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-86, 81, -42, 6, -99, -45, 22, 58, -14, -77]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-31, 37, -25, -36, -35, 65, -64, 93, 13, 70]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/17/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -93}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-14, 9, -76, 18, 42, -52, -84, -88, -44, 54]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-89},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/17/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 30}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 40, 49, 25, -89, 16, 13, 95, 22, 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\nDefine task_3_input = {\"result\": [-30, -66, 66, -80, -83, 54, -25, -26, 19, 79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-47,13,16,22,-89,25,40,86,49,95]},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/17/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -23}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 3, -49, 9, 86, -9, 17, -59, 70, 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) -> 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\nDefine task_3_input = {\"result\": [-12, 72, 67, -77, -26, -67, 81, 87, -97, -74]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":37},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":72},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/17/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [33, 61, 46, 67, -29, 27, 16, 75, 97, 69]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 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\nDefine task_3_input = {\"result\": [62, 8, -19, -90, 50, 72, 53, 53, 11, 94]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":5544},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/17/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 8}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [99, 43, -70, -86, -15, 12, 42, 34, 93, 78].\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\nDefine task_3_input = {\"result\": [93, 96, -99, -8, 8, -42, -75, 73, -92, -54]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-94,-38,-134]},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/17/15", "category": "python", "topology": "three_independent_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\": -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_tokens_static = [-94, -84, -83, -67, 4, 98, -91, 83, 13, -34].\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\nDefine task_2_input = {\"result\": [-46, -18, -87, -15, -61, -33, 82, 21, 26, -25]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-64, -27, 15, 68, 83, 65, 46, 53, 57, 47]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":82},{\"node_id\":\"task_3\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/18/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [84, -6, -87, -32, 75, -92, 39, -42, 55, -19]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-95, 47, 68, -19, 65, -72, -9, -97, 76, -40]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-95,47,47,23,23,-40,-41,-41,-40,-40]", "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\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":127},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-95,47,47,23,23,-40,-41,-41,-40,-40]}]"} {"id": "python/three_independent_target/18/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-74, -24, 24, -72, -26, 16, 14, -66, -24, 85]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [43, -88, 10, 61, 45, -24, 63, 62, 60, -42]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[43,10,10,45,45,45,62,62,60,-42]", "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\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-74,-24,24,-72,-26,16,14,-66,-24,85]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[43,10,10,45,45,45,62,62,60,-42]}]"} {"id": "python/three_independent_target/18/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 88}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-53, -20, -96, 56, 67, -70, -3, 94, 10, 35].\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\nDefine task_3_input = {\"result\": [17, 19, 8, 16, 55, 71, -41, -71, 73, 23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[17,17,16,16,55,55,-41,-41,23,23]", "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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":98},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[17,17,16,16,55,55,-41,-41,23,23]}]"} {"id": "python/three_independent_target/18/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [82, 30, -1, -11, 16, -33, -39, -11, -78, 9]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [66, 52, -97, 90, -45, 41, 50, 2, -28, -50]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[66,52,22,22,23,41,41,2,-28,-50]", "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\":[-1,82,16,16,82,-11,-11,9,9,82]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[66,52,22,22,23,41,41,2,-28,-50]}]"} {"id": "python/three_independent_target/18/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-99, -45, -61, 80, -29, -8, -55, 24, -43, -40]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [58, -26, -47, 80, -34, -79, 74, 2, -92, 61]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[58,-26,-26,-26,-34,-34,2,2,2,61]", "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\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":80},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[58,-26,-26,-26,-34,-34,2,2,2,61]}]"} {"id": "python/three_independent_target/18/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 6}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-78, 70, -8, 90, -77, -12, 42, -70, -31, 13]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-78,31,31,31,-12,-12,-12,-31,-31,13]", "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,-10,7,-5,37,25]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-78,31,31,31,-12,-12,-12,-31,-31,13]}]"} {"id": "python/three_independent_target/18/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [50, -59, -42, 19, -86, 15, -91, 49, 10, -65]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [93, -78, -31, -59, -50, -86, 74, 30, 71, 53].\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\nDefine task_3_input = {\"result\": [-81, -39, -44, -6, -89, 77, 65, -35, -11, -62]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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,-42,-41,-41,-41,65,65,-23,-23,-62]", "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\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":168},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-81,-42,-41,-41,-41,65,65,-23,-23,-62]}]"} {"id": "python/three_independent_target/18/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [91, 82, -48, 40, 99, 48, -35, 6, -68, 13]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 (l, r) = (0, len(list_2) - 1)\n ans = 0\n while l < r:\n t = min(list_2[l], list_2[r]) * (r - l)\n ans = max(ans, t)\n if list_2[l] < list_2[r]:\n l += 1\n else:\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\nDefine task_3_input = {\"result\": [89, -69, -4, 0, -40, 33, 50, 27, 22, -54]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[89,-4,-4,-4,-4,33,33,27,22,-54]", "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\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":364},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[89,-4,-4,-4,-4,33,33,27,22,-54]}]"} {"id": "python/three_independent_target/18/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -24}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 83.\nDefine task_2_energy_static = [10, -65, 28, -11, -70, 85, 71, 87, 46, 68].\nDefine task_2_experience_static = [58, 14, -86, -46, 42, 44, 100, -72, -41, 94].\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\nDefine task_3_input = {\"result\": [-25, 6, -51, -68, 27, 54, -32, -94, 62, -43]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-25,-25,-51,-51,27,27,-32,-32,-32,-43]", "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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":294},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-25,-25,-51,-51,27,27,-32,-32,-32,-43]}]"} {"id": "python/three_independent_target/18/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -55}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 4, 31, -52, 29, -60, 12, -26, 20, -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) -> 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\nDefine task_3_input = {\"result\": [45, -1, 91, 100, -29, -56, 57, 2, -96, 83]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[45,45,45,0,-29,-29,2,2,2,83]", "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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":49},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[45,45,45,0,-29,-29,2,2,2,83]}]"} {"id": "python/three_independent_target/18/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -98}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [25, 89, 92, -77, -58, -16, -40, 70, -57, -90]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[25,89,89,-58,-58,-28,-28,-28,-57,-90]", "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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-89},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[25,89,89,-58,-58,-28,-28,-28,-57,-90]}]"} {"id": "python/three_independent_target/18/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [48, 13, 25, -56, 59, 63, -69, 89, 96, 78]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-93, -63, -43, 68, 87, 0, 6, 49, -67, 42]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-93,-63,-43,68,68,6,6,6,6,42]", "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\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-93,-63,-43,68,68,6,6,6,6,42]}]"} {"id": "python/three_independent_target/18/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [6, -44, 21, -62, 0, -19, 49, -64, 70, -23]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-73, 16, 20, -7, 83, 70, -98, 33, 49, -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 (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\nDefine task_3_input = {\"result\": [-92, -55, -65, 14, 91, 9, -97, 78, -58, 63]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-92,-60,-60,14,14,9,9,10,10,63]", "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\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-92,-60,-60,14,14,9,9,10,10,63]}]"} {"id": "python/three_independent_target/18/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-76, -64, 31, -2, -10, -26, 37, 14, -87, -80]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-6, 24, -52, 91, -4, 45, 60, -69, -77, -18].\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\nDefine task_3_input = {\"result\": [84, -98, -96, 95, 36, 83, -65, 42, -90, 24]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[84,-96,-96,60,60,59,-11,-12,-12,24]", "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\":[-18,-77,-69,60,45,-4,91,-52,24,-6,-76,-64,31,-2,-10,-26,37,14,-87,-80]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[84,-96,-96,60,60,59,-11,-12,-12,24]}]"} {"id": "python/three_independent_target/18/14", "category": "python", "topology": "three_independent_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\": -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 = [-73, -45, 1, -75, 24, 66, -26, -26, 84, -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\nDefine task_2_input = {\"result\": [0, -28, 62, 44, -76, 60, 4, 51, 41, 39]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [45, -9, -82, 27, 75, 63, -32, -80, 69, 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\nDefine task_3_input = {\"result\": [32, -83, 9, 92, 76, -51, -33, 37, -7, -75]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[32,9,9,76,76,-33,-33,-7,-7,-75]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-70},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[62,69,-80,-32,63,75,27,-82,-9,45,0,-28,44,-76,60,4,51,41,39]},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[32,9,9,76,76,-33,-33,-7,-7,-75]}]"} {"id": "python/three_independent_target/18/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 74}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -38, 42, -64, -44, -97, 75, 1, 63, 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) -> 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\nDefine task_3_input = {\"result\": [-64, 31, 44, 29, 32, -11, 63, 53, -35, 90]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-64,31,31,31,30,30,53,53,53,90]", "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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-64,31,31,31,30,30,53,53,53,90]}]"} {"id": "python/three_independent_target/19/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -13}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 44, 79, -94, 85, 90, -4, -26, -42, -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\nDefine task_3_input = {\"result\": [-58, -54, 46, 32, 37, -6, 4, -72, -72, -21]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[38,44,79,-94,85,90,-4,-26,-42,-49]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/19/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -72}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [43, 27, 17, -44, 8, -38, -9, 17, -13, 87]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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,-71,21]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/19/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 76}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [22, -80, 22, 10, 78, 37, -62, -24, 63, 30].\nDefine task_2_runningCost_static = -34.\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\nDefine task_3_input = {\"result\": [21, 29, -62, 91, -72, -73, 46, -90, -57, 78]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":41},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/19/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-88, 75, 39, 89, -99, -56, -82, 7, -31, -46]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [88, 98, -38, 5, -4, -19, -57, -64, 54, 39]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/19/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 71}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [8, -9, 74, 36, 13, 5, -69, -80, 58, 47]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-34]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/19/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-27, -11, 43, 26, 83, -44, -58, -49, 82, 7]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-18, -87, 65, -96, -33, 49, -40, 70, -60, 79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":667},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/19/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-47, 22, 3, 42, -5, -18, 49, 60, -35, -71]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-71, -75, -73, 23, -10, -98, -53, 19, -74, 13]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[22,42,42,49,49,49,60,-1,22,-47]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/19/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-91, 39, -41, -92, -36, 1, -33, -83, -21, 28]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, -56, 10, -91, 80, -5, 78, -95, 61, 0].\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\nDefine task_3_input = {\"result\": [-27, 23, -41, 23, -64, 69, -37, -17, 41, -34]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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,-79,-2,-83,10,-71,-26,-107]},{\"node_id\":\"task_2\",\"native_task_id\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/19/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-63, -71, 57, -78, 26, 78, 98, 91, 37, 23]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-5, -50, -15, 18, 93, 76, -58, -23, 97, 24].\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\nDefine task_3_input = {\"result\": [-3, -82, -37, -74, -9, -27, 27, -74, -18, 45]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[24,97,-23,-58,76,93,18,-15,-50,-5,-63,-71,57,-78,26,78,98,91,37,23]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/19/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [79, -93, -72, -7, -45, -58, -94, 67, 14, -24]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, 6, 80, 17, -1, -80, 22, 74, -85, 25].\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\nDefine task_3_input = {\"result\": [96, 17, -67, 48, 14, 95, 45, -45, -11, -69]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,106,-88,5,8,-46,-138,-73,139,-71,1]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/19/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [50, 10, -26, 59, -28, 76, 27, 47, -61, 1]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [1, 66, -79, -35, -12, -62, 4, -100, -99, -9]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/19/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 69}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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\nDefine task_3_input = {\"result\": [-84, 64, 66, 32, -31, -41, 48, -57, 51, -22]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,31,70]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/19/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-52, 89, 37, -71, -94, -5, 85, 55, 37, 22]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 (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\nDefine task_3_input = {\"result\": [20, 67, 31, 93, 46, -79, -29, 17, 3, 33]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/19/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 37}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 16.\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\nDefine task_3_input = {\"result\": [-14, -19, -5, 96, -16, 79, -22, -37, 61, -94]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,17]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/19/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-92, 67, -49, -75, -22, 43, 98, -83, 26, -88]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [84, 97, 89, -1, 12, -59, -88, -92, -91, -88]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/19/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [78, 40, 70, 61, -7, 31, -67, -69, -38, 97]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-35, 43, -11, -15, -41, -64, 98, -44, 10, 23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/20/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -20}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-3, 45, -52, -75, -84, 16, -21, 30, -41, 95].\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\nDefine task_3_input = {\"result\": [90, -25, -5, 65, -94, 40, 75, -28, -48, 8]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-5, 69, 9, -76, 3, 48, -72, 31, 74, -5].\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": "[-5,74,31,-72,48,3,-76,9,69,90,-25,65,-94,40,75,-28,-48,8]", "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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-5,74,31,-72,48,3,-76,9,69,90,-25,65,-94,40,75,-28,-48,8]}]"} {"id": "python/three_independent_target/20/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [90, -38, -83, -44, 10, 38, 25, 40, -80, -23]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-20, -50, 32, -10, 71, -99, -31, 90, 13, 51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [64, 11, -29, 0, 36, 70, -25, 90, -14, -52].\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": "[-52,-14,90,-25,70,36,0,-29,11,64,-20,-50,32,-10,71,-99,-31,13,51]", "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\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":26},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-52,-14,90,-25,70,36,0,-29,11,64,-20,-50,32,-10,71,-99,-31,13,51]}]"} {"id": "python/three_independent_target/20/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [31, 66, -89, -29, -25, -77, -37, 80, 22, -89]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [15, -74, -7, 100, 38, 33, 65, -71, -48, -35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-52, 4, -80, 88, 37, -92, 0, -25, -35, 25].\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": "[25,-35,-25,0,-92,37,88,-80,4,-52,15,-74,-7,38,33,65,-71,-48]", "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\":[25,-35,-25,0,-92,37,88,-80,4,-52,15,-74,-7,38,33,65,-71,-48]}]"} {"id": "python/three_independent_target/20/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 5}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [0, -77, 38, -70, -69, -59, 65, 4, -22, 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\nDefine task_3_input = {\"result\": [86, 19, 93, 11, -58, -39, -68, -43, -2, -38]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [11, 0, 11, 14, 52, -100, -51, 34, -32, 4].\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": "[4,-32,34,-51,-100,52,14,11,0,86,19,93,-58,-39,-68,-43,-2,-38]", "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,-77,38,-70,-69,-59,65,4,-22,43]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[4,-32,34,-51,-100,52,14,11,0,86,19,93,-58,-39,-68,-43,-2,-38]}]"} {"id": "python/three_independent_target/20/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [31, 53, 80, 24, -78, 93, -48, 0, 89, 49]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-8, 72, -34, -50, 34, -47, -20, -93, -33, 89]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [18, -27, 88, -100, 76, 71, -55, 70, 40, -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]) -> 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": "[-42,40,70,-55,71,76,-100,88,-27,18,-8,72,-34,-50,34,-47,-20,-93,-33,89]", "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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[31,53,80,93,89,49]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-42,40,70,-55,71,76,-100,88,-27,18,-8,72,-34,-50,34,-47,-20,-93,-33,89]}]"} {"id": "python/three_independent_target/20/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-97, 9, 77, -20, -83, -83, 70, 64, -17, 92]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [44, 40, -64, -41, -57, 21, -53, -92, 20, 94]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -79, 1, 71, 65, -81, -4, -30, -22, -99].\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": "[-99,-22,-30,-4,-81,65,71,1,-79,-85,44,40,-64,-41,-57,21,-53,-92,20,94]", "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\":[1,2,9,3,2,2,6,2,1,10]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-99,-22,-30,-4,-81,65,71,1,-79,-85,44,40,-64,-41,-57,21,-53,-92,20,94]}]"} {"id": "python/three_independent_target/20/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-94, -50, 58, -58, -13, 92, 15, 51, 27, 97]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-56, -28, -1, -38, 44, -60, -16, -39, 6, -15]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [65, -89, 94, -22, -77, -23, 16, -52, 98, -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": "[-93,98,-52,16,-23,-77,-22,94,-89,65,-56,-28,-1,-38,44,-60,-16,-39,6,-15]", "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\":[-94,-50,-13,-13,-13,39,39,39,39,97]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-93,98,-52,16,-23,-77,-22,94,-89,65,-56,-28,-1,-38,44,-60,-16,-39,6,-15]}]"} {"id": "python/three_independent_target/20/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-16, -27, -19, -7, 50, -36, -89, -87, 73, 97]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -43.\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\nDefine task_3_input = {\"result\": [62, 42, -5, -70, -46, -15, 86, -20, 35, -91]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [73, -46, -12, 82, -26, 27, -34, -71, -13, 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]) -> 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": "[21,-13,-71,-34,27,-26,82,-12,-46,73,62,42,-5,-70,-15,86,-20,35,-91]", "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\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-43},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[21,-13,-71,-34,27,-26,82,-12,-46,73,62,42,-5,-70,-15,86,-20,35,-91]}]"} {"id": "python/three_independent_target/20/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-51, 62, 0, 43, -63, -64, 79, -42, 37, -56]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [56, 98, 64, 11, -30, 51, -61, 19, 72, 92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [71, 23, -2, 67, 51, 12, -17, 41, 5, -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": "[-93,5,41,-17,12,51,67,-2,23,71,56,98,64,11,-30,-61,19,72,92]", "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\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-93,5,41,-17,12,51,67,-2,23,71,56,98,64,11,-30,-61,19,72,92]}]"} {"id": "python/three_independent_target/20/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [23, -64, -44, -64, 67, 8, -78, 63, 94, 73]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, -50, -7, 11, -81, 22, -89, -90, -47, -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\nDefine task_3_input = {\"result\": [94, -61, -94, -12, -7, 11, 27, 37, -81, 19]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [93, -41, 39, -18, -22, 58, -24, 7, 97, 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": "[97,7,-24,58,-22,-18,39,-41,93,94,-61,-94,-12,-7,11,27,37,-81,19]", "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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-34,-47,-90,-89,22,-81,11,-7,-50,63,23,-64,-44,-64,67,8,-78,94,73]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[97,7,-24,58,-22,-18,39,-41,93,94,-61,-94,-12,-7,11,27,37,-81,19]}]"} {"id": "python/three_independent_target/20/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 76}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 96, 87, 76, 12, -3, -66, 35, 58, -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\nDefine task_3_input = {\"result\": [-91, 94, 68, 69, -74, 69, 46, 87, 17, -48]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [84, -67, -88, 23, 39, 78, -81, -99, -44, 57].\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": "[57,-44,-99,-81,78,39,23,-88,-67,84,-91,94,68,69,-74,69,46,87,17,-48]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-66,-52,-17,-3,12,35,58,76,87,96]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[57,-44,-99,-81,78,39,23,-88,-67,84,-91,94,68,69,-74,69,46,87,17,-48]}]"} {"id": "python/three_independent_target/20/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -90}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 60.\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\nDefine task_3_input = {\"result\": [33, -91, -26, -71, 69, -79, -100, -16, 9, -22]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-28, -50, 19, 42, -4, -91, 39, -72, 45, -87].\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": "[-87,45,-72,39,-91,-4,42,19,-50,-28,33,-26,-71,69,-79,0,-16,9,-22]", "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,-18]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-87,45,-72,39,-91,-4,42,19,-50,-28,33,-26,-71,69,-79,0,-16,9,-22]}]"} {"id": "python/three_independent_target/20/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-54, 74, -62, 14, 44, 65, 99, 10, -35, 93]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 54.\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\nDefine task_3_input = {\"result\": [31, -2, -97, -89, -79, -97, -82, 42, 47, -7]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 3, 22, -47, 54, -73, -76, -59, -34, -24].\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": "[-24,-34,-59,-76,-73,54,-47,22,3,-6,31,-2,-97,-89,-79,-97,-82,42,47,-7]", "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\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-24,-34,-59,-76,-73,54,-47,22,3,-6,31,-2,-97,-89,-79,-97,-82,42,47,-7]}]"} {"id": "python/three_independent_target/20/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -25}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [91, -85, 61, 98, 72, -22, 64, 25, -22, 83]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 4, 9, 98, 38, -81, 91, 23, -38, 34].\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": "[34,-38,23,91,-81,38,98,9,4,-31,-85,61,72,-22,64,25,-22,83]", "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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-25},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[34,-38,23,91,-81,38,98,9,4,-31,-85,61,72,-22,64,25,-22,83]}]"} {"id": "python/three_independent_target/20/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [82, -2, -100, -89, -1, -83, 99, -57, 34, 3]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [52, 28, 20, -2, 70, 90, 60, -28, -23, 48]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-47, -80, 89, -3, 67, -49, -21, -79, 99, 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]) -> 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": "[36,99,-79,-21,-49,67,-3,89,-80,-47,52,28,20,-2,70,90,60,-28,-23,48]", "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\":[0,7921,1,4,6889,9801,3249,1156,9,6724]},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[36,99,-79,-21,-49,67,-3,89,-80,-47,52,28,20,-2,70,90,60,-28,-23,48]}]"} {"id": "python/three_independent_target/20/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [19, 74, -22, -17, -15, -97, 56, -77, -25, 14]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 (l, r) = (0, len(list_2) - 1)\n ans = 0\n while l < r:\n t = min(list_2[l], list_2[r]) * (r - l)\n ans = max(ans, t)\n if list_2[l] < list_2[r]:\n l += 1\n else:\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\nDefine task_3_input = {\"result\": [38, 90, 14, -81, 57, -83, 43, -30, -96, -72]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-62, -90, -26, 78, 45, 33, -62, 46, 38, 88].\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": "[88,38,46,-62,33,45,78,-26,-90,90,14,-81,57,-83,43,-30,-96,-72]", "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\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":280},{\"node_id\":\"task_3\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[88,38,46,-62,33,45,78,-26,-90,90,14,-81,57,-83,43,-30,-96,-72]}]"} {"id": "python/three_independent_target/21/0", "category": "python", "topology": "three_independent_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\": -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 = -93.\nDefine task_1_bound_static = 63.\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\nDefine task_2_input = {\"result\": -42}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-60, -38, 63, 22, -80, 80, -77, -90, 38, 40].\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\nDefine task_3_input = {\"result\": [39, 37, 8, -93, 91, -5, -63, 55, 75, -33]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-92,-47,-141]},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/21/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [88, 27, 9, 63, 42, 16, 11, 29, 24, 18]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [6, 36, 8, -58, 35, -67, -21, -89, 10, -8]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[18,9]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/21/2", "category": "python", "topology": "three_independent_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\": [-84, -80, -66, -74, -78, 69, -57, -88, 44, -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_nums2_static = [89, 14, 56, 40, -91, -86, -64, 60, -12, -28].\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\nDefine task_2_input = {\"result\": -16}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [64, -84, 65, 43, -88, -97, 31, -16, 73, 97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-35,-15,-52]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/21/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [39, -87, -73, -44, -61, -24, 99, -7, 36, -2]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -94.\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\nDefine task_3_input = {\"result\": [-73, 26, 31, -6, -76, -24, -15, 49, -69, 47]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/21/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -42}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 21, 78, -100, -57, -72, -44, -36, -57, 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\nDefine task_3_input = {\"result\": [31, 97, 60, -93, -51, -39, -26, 57, -28, -26]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":13},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[87,21,78,-100,-57,-72,-44,-36,-57,10]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/21/5", "category": "python", "topology": "three_independent_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\": [39, -34, 74, -52, -87, -64, -48, 53, -92, 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\nDefine task_2_input = {\"result\": [45, -73, 66, 26, -41, 87, 26, 14, -57, -35]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [85, -93, 21, -84, 65, -63, 17, -75, 1, -38]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":15,\"native_task_name\":\"candy:list\",\"output_value\":21},{\"node_id\":\"task_2\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":22},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/21/6", "category": "python", "topology": "three_independent_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\": [35, -19, 26, -4, 75, -50, -85, 17, 18, 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]) -> 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\nDefine task_2_input = {\"result\": 18}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-35, 95, 91, 70, 21, -23, -14, -85, 36, -27]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[75,26,75,75,-1,17,17,18,21,35]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-70,19,-53]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/21/7", "category": "python", "topology": "three_independent_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\": [-70, 91, 55, 84, 26, -41, 61, -56, 17, 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_queries_static = [-22, -95, -29, 49, -46, 30, -19, 93, 20, 57].\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\nDefine task_2_input = {\"result\": 29}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [31, -7, -56, -16, 95, -17, -99, 87, 94, -60].\nDefine task_2_capacityB_static = -47.\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\nDefine task_3_input = {\"result\": [62, 99, -77, -62, -48, 40, -89, -76, 28, -20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[57,20,93,-19,30,-46,49,-29,-95,-22,-70,91,55,84,26,-41,61,-56,17,12]},{\"node_id\":\"task_2\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/21/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-60, -60, 47, 55, -2, -25, 75, 94, 54, -11]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [62, 59, -86, 0, -48, 43, -30, -49, 90, 5]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":12},{\"node_id\":\"task_2\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":323},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/21/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [9, 2, 87, 6, 75, -26, 10, 97, 56, -24]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [86, -22, -3, -23, -29, 15, -5, -13, 49, -32]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,7569,36,81,5625,676,100,9409,3136,576]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/21/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -73}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 88, -84, -59, -36, 18, -65, -75, -1, 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\nDefine task_3_input = {\"result\": [-66, 7, 97, -6, -81, 9, -47, -11, -7, -84]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-46,-29,-21,-2,20,25,56,57,77,79]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-87,88,-84,-59,-36,18,-65,-75,-1,73]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/21/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-74, 96, 100, 55, -38, 46, 17, 87, 46, -100]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 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\nDefine task_3_input = {\"result\": [64, -100, 34, 6, -54, -93, 9, 32, 58, 89]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-59,-44,17,49,41,-71,16,-59,-7,52]},{\"node_id\":\"task_2\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":96},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/21/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-73, 65, 53, 67, -96, -72, 16, 47, -45, 85]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [7, -96, 88, 52, 43, -20, 69, -94, -54, 83]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[23,72,-65,65,-51,14,-48,-28,88,18]},{\"node_id\":\"task_2\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-96},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/21/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [91, -84, 52, 82, 5, 70, 41, -74, 17, -54]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [97, -98, 95, -6, -46, -96, 44, 12, 56, -53]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[91,52,52,52,41,41,41,-28,-29,-54]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/21/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 24}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -62, -8, 11, -83, -90, 12, 83, -50, -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\nDefine task_3_input = {\"result\": [-45, -98, -5, 36, -98, 19, -3, -50, 90, -23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-90,-83,-62,-50,-47,-23,-8,83,11,12]},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/21/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-62, -67, -72, -7, 31, 67, 50, -94, 84, 81]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -76.\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\nDefine task_3_input = {\"result\": [18, -32, -50, -62, 81, 41, -28, -57, -80, -99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "7", "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\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/22/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 45}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-23, -47, -83, 98, -81, 54, 80, 67, -49, 84].\nDefine task_2_passengers_static = [71, -66, -17, -72, 79, -60, 75, 2, -62, 79].\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\nDefine task_3_input = {\"result\": [-24, 37, 75, 30, 51, -55, -47, -74, -65, -14]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-24,-14,-74,30,51,-55,-47,75,-65,37]", "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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":98},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-24,-14,-74,30,51,-55,-47,75,-65,37]}]"} {"id": "python/three_independent_target/22/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [31, -32, 50, 46, 48, 3, 11, 29, -3, 17]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [38, 74, 27, 55, 73, 93, 1, 54, -68, -89]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[38,74,-68,54,73,93,1,55,27,-89]", "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\":[-32,50,46,48,3,11,29,17]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[38,74,-68,54,73,93,1,55,27,-89]}]"} {"id": "python/three_independent_target/22/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 47}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -78, -43, 15, 52, 73, 30, 38, 89, 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\nDefine task_3_input = {\"result\": [-73, -2, 26, 47, -52, -49, -96, -96, -29, -18]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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,-2,26,-96,-52,-96,-49,47,-29,-73]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-99,-78,-43,15,30,38,52,73,87,89]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-18,-2,26,-96,-52,-96,-49,47,-29,-73]}]"} {"id": "python/three_independent_target/22/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-32, -98, 93, 52, 21, -37, 93, 57, 21, -64]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [25, 93, 91, 47, 71, -64, 24, 81, -54, 62]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[62,-54,24,-64,71,47,91,81,93,25]", "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\":[441,1369,8649,3249,441,2704,8649,9604,1024,4096]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[62,-54,24,-64,71,47,91,81,93,25]}]"} {"id": "python/three_independent_target/22/4", "category": "python", "topology": "three_independent_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\": 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 = -81.\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\nDefine task_2_input = {\"result\": 4}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [24, 16, -98, 33, 2, 55, -36, 90, -36, -74]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[24,16,-98,-74,2,-36,-36,90,55,33]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-80]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-23,5,-20,17,-8]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[24,16,-98,-74,2,-36,-36,90,55,33]}]"} {"id": "python/three_independent_target/22/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -99}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [62, 100, -21, 43, 75, -47, 35, 67, -40, 28]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[62,0,28,-40,75,-47,35,67,43,-21]", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-98,-44]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[62,0,28,-40,75,-47,35,67,43,-21]}]"} {"id": "python/three_independent_target/22/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -26}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-95, -36, -74, 51, 51, 92, 80, 77, 91, 32]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[32,-36,-74,80,92,51,51,77,91,-95]", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-21,-25,-48]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[32,-36,-74,80,92,51,51,77,91,-95]}]"} {"id": "python/three_independent_target/22/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [60, -71, 25, -53, -40, -74, 14, 82, -84, 10]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [6, -94, 79, 49, 80, -73, -47, 37, -87, -30]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[6,-94,-30,80,49,-73,-47,37,-87,79]", "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\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[6,-94,-30,80,49,-73,-47,37,-87,79]}]"} {"id": "python/three_independent_target/22/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [53, -14, 32, 54, 42, 73, -35, 60, -55, 100]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [19, -10, 91, -8, -33, 54, -90, 23, 55, -67].\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\nDefine task_3_input = {\"result\": [60, 90, 67, 4, 8, 29, 28, -49, -76, 62]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[60,90,62,4,8,-76,28,-49,29,67]", "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\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[60,90,62,4,8,-76,28,-49,29,67]}]"} {"id": "python/three_independent_target/22/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-90, -49, 54, -87, -4, -53, -65, -13, -15, 30]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-48, -47, -61, -64, 28, 100, -66, -51, 60, 77]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-48,60,-66,-64,28,0,-61,-51,-47,77]", "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\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-48,60,-66,-64,28,0,-61,-51,-47,77]}]"} {"id": "python/three_independent_target/22/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 82}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 8, -84, 57, 10, 30, -88, -18, 47, -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\nDefine task_3_input = {\"result\": [33, -17, 44, 54, 61, -35, -18, -77, 47, -86]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-86,-18,44,54,61,-35,-17,-77,47,33]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-88,-87,-84,-18,8,10,30,47,57,73]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-86,-18,44,54,61,-35,-17,-77,47,33]}]"} {"id": "python/three_independent_target/22/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 3}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -15, 1, -64, -84, -46, -39, 77, 18, -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\nDefine task_3_input = {\"result\": [98, 61, -59, 35, -53, -84, 87, -62, 81, -69]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[98,-62,-84,35,-53,-59,87,61,81,-69]", "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\":[87,-15,1,-64,-84,-46,-39,77,18,-72]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[98,-62,-84,35,-53,-59,87,61,81,-69]}]"} {"id": "python/three_independent_target/22/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -39}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 51, 39, -47, -32, 11, 46, 11, 48, 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\nDefine task_3_input = {\"result\": [-91, 35, -81, 57, -6, -60, 11, -82, -74, -46]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-46,-74,-82,-60,-6,57,11,-81,35,-91]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[22,51,39,-47,-32,11,46,11,48,89]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-46,-74,-82,-60,-6,57,11,-81,35,-91]}]"} {"id": "python/three_independent_target/22/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [28, 95, -1, 71, 7, 89, -6, 2, 77, -96]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [87, 81, -74, -3, -88, -15, 44, -90, 99, -86]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-86,-90,-74,44,-88,-15,-3,81,99,87]", "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\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,0,1,2,1,0,1,1,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-86,-90,-74,44,-88,-15,-3,81,99,87]}]"} {"id": "python/three_independent_target/22/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 37}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-82, -39, 78, -47, -50, -23, -5, -72, -94, -84].\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\nDefine task_3_input = {\"result\": [91, 65, -54, -66, 66, -55, -9, 7, 71, -20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-20,66,-54,-66,65,-55,-9,7,71,91]", "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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":47},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-20,66,-54,-66,65,-55,-9,7,71,91]}]"} {"id": "python/three_independent_target/22/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 91}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -79, -72, 97, -35, 80, -55, -37, -54, 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\nDefine task_3_input = {\"result\": [-18, 8, -34, 29, 82, -7, 67, 88, -92, -20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-18,8,-34,-20,82,-92,88,67,-7,29]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-90,-79,-72,80,-55,96,-54,-37,-35,97]},{\"node_id\":\"task_3\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-18,8,-34,-20,82,-92,88,67,-7,29]}]"} {"id": "python/three_independent_target/23/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -12}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": 69}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "69", "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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-21},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":69}]"} {"id": "python/three_independent_target/23/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -56}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": 16}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "16", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,15,-55,-42]},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":16}]"} {"id": "python/three_independent_target/23/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 83}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -9, 21, -32, 62, 27, 81, -96, 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\nDefine task_3_input = {\"result\": 84}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[39,-3]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-96,-32,-9,9,21,27,62,81,84,91]},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":79}]"} {"id": "python/three_independent_target/23/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [79, 18, 59, 36, -39, -16, 71, 2, 71, 89]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 v in list_2:\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_2 = len(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\nDefine task_3_input = {\"result\": 89}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":89}]"} {"id": "python/three_independent_target/23/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [78, 14, 53, 9, -17, -8, -18, -2, 87, 39]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -24}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "-24", "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\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-24}]"} {"id": "python/three_independent_target/23/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 65}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 2, 89, -98, 77, 30, 31, 32, 17, 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\nDefine task_3_input = {\"result\": 9}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[43,-43]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-98,2,6,-98,17,30,31,32,77,89]},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":9}]"} {"id": "python/three_independent_target/23/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-30, -25, -86, -19, 81, -5, 29, 29, -69, -61]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -91}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-22]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,2,1,1,0,1,0,0,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-89}]"} {"id": "python/three_independent_target/23/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -4}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-18, 8, -2, 26, 45, -47, -66, 27, 74, -83].\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\nDefine task_3_input = {\"result\": 70}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "69", "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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":69}]"} {"id": "python/three_independent_target/23/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 56}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 60.\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\nDefine task_3_input = {\"result\": -44}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "-44", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,57]},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-44}]"} {"id": "python/three_independent_target/23/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-75, -56, -73, -61, -7, -10, 10, -58, 78, 35]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 39}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "39", "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\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":35},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":39}]"} {"id": "python/three_independent_target/23/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-9, -89, -55, 29, 63, -32, 85, 75, -92, 13]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -44}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "-44", "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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-9,-89,-55,-92,13]},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-44}]"} {"id": "python/three_independent_target/23/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [20, 40, -20, -82, 42, -68, 85, -86, -12, 49]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 26}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "26", "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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":26}]"} {"id": "python/three_independent_target/23/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-54, 54, -30, 61, -27, 80, -56, 24, -60, -30]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -13}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "-13", "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\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-13}]"} {"id": "python/three_independent_target/23/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -12}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": -22}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "-22", "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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-12},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-22}]"} {"id": "python/three_independent_target/23/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -46}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-75, -4, -27, -1, 24, 92, -27, -94, 54, -27].\nDefine task_2_runningCost_static = -82.\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\nDefine task_3_input = {\"result\": 45}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "45", "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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":45}]"} {"id": "python/three_independent_target/23/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 2}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -99, -59, -28, 32, -19, -70, -42, 34, 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\nDefine task_3_input = {\"result\": 30}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-14,-99,-59,-28,32,-19,-70,-42,34,76]},{\"node_id\":\"task_3\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":29}]"} {"id": "python/three_independent_target/24/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-95, 90, -56, -37, 3, 22, 37, 53, -82, 23]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [58, -21, 81, -91, 65, 32, 28, -3, 36, 42]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/24/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -65}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [43, -82, -55, 100, -69, -82, -92, -84, -93, 18]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-69,-86,70]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-48,-64,-114]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/24/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-40, 72, 32, -57, 75, 92, -38, 46, 81, -17]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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\nDefine task_3_input = {\"result\": [-33, -83, -61, -20, -87, 88, 56, -2, 68, 15]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-45},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-40,72,32,-57,75,92,-38,46,81,-17]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/24/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [49, 5, -63, 28, -37, -35, 43, 80, 50, -70]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [61, -68, -9, -94, 97, 27, 82, 24, -66, -93]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":56},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-70,50,80,28,-37,-35,43,-63,5,49]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/24/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 90}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -87, -15, -12, 33, 46, 66, -76, -90, -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\nDefine task_3_input = {\"result\": [46, -92, 90, 76, -28, 30, -27, 41, 89, -63]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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,-37,-15,-12,33,46,66]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/24/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 70}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-78, 25, 20, -24, 56, -28, -18, -70, 73, 87].\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\nDefine task_3_input = {\"result\": [-11, -56, -97, 74, -16, 74, 45, 69, 58, -34]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-58,-55,-115]},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/24/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-66, 52, -84, -43, 62, -54, -24, -18, -89, 47]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [37, 77, 46, 31, -45, 7, 81, -9, -9, -96]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":86},{\"node_id\":\"task_2\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/24/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -80}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -89, 91, -33, -67, -50, -50, 55, -15, -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\nDefine task_3_input = {\"result\": [-68, 9, 62, -91, 89, -3, -1, 42, 65, -34]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[95,-89,91,-33,-67,-50,-50,55,-15,-59]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/24/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-11, 85, 78, -17, -37, 44, 29, 81, -52, -73]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [77, 2, 17, -41, -73, -51, 28, -6, -85, -71]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":[-11,78,78,-17,-17,36,37,37,-52,-73]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/24/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [14, 81, -21, -20, 87, -57, 31, 100, 77, -71]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-100, 4, 79, 31, -82, 43, 11, -69, 6, 51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":13},{\"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\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/24/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-75, -32, 59, 88, 7, 81, -19, -73, 65, -62]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -65.\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\nDefine task_3_input = {\"result\": [79, 84, -56, -87, 3, -86, 85, 96, -84, -3]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/24/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -86}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-74, 97, 20, -83, -18, -45, 25, -14, -21, 11].\nDefine task_2_passengers_static = [-21, 56, -43, 80, -69, -5, -94, -14, -45, 14].\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\nDefine task_3_input = {\"result\": [-80, 64, 58, -15, -99, 10, 99, -43, -13, -4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-19},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":97},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/24/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [1, 86, -49, 77, -85, 87, -45, 73, 83, 82]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 23.\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\nDefine task_3_input = {\"result\": [5, -3, 81, -18, 57, -43, -61, -10, 56, 11]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-97,-3,-102,17,-82,-63,-162]},{\"node_id\":\"task_2\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":104},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/24/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-81, 82, 66, -44, -52, -87, 97, -76, 73, -88]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [92, 82, 13, 72, 42, 67, 89, 21, 12, 23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":6664},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/24/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-12, -78, -5, -85, 2, 17, 28, 2, -47, 45]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [30, 89, -59, 39, -75, -42, -54, -58, -18, -47]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-12,-78,-5,-85,-47,45]},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/24/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-9, -35, -34, -8, -83, 41, 18, 57, -83, -60]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [80, -77, 5, 83, 74, -3, 35, 38, 9, -19]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/25/0", "category": "python", "topology": "three_independent_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\": 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 = [-31, -76, -60, 45, 96, 69, -74, -37, 31, -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\nDefine task_2_input = {\"result\": -24}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-45, -53, 37, 2, 18, -24, -47, -81, -1, -81]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 100.\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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-76,-74,-60,-37,-31,-25,31,45,69,96]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-23]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/25/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [5, 85, -88, -77, -12, 15, 34, -89, 6, 48]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [28, 3, -50, 58, -14, -42, -90, -44, -5, -39]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 (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": "8", "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\":[5,5,-77,-77,-12,15,15,6,6,48]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/25/2", "category": "python", "topology": "three_independent_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\": -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 = [86, -80, 82, -78, 65, 4, -50, 2, 19, 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\nDefine task_2_input = {\"result\": [11, 98, 40, 70, -49, -46, 82, -67, -50, -96]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-23, 27, 21, 76, 24, 40, -76, -20, -37, -35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 (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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[86,-80,82,-78,65,4,-50,2,19,80]},{\"node_id\":\"task_2\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":16},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/25/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-57, -72, -48, -2, -9, -89, 18, 36, -79, 15]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [42, -8, 47, 57, -77, -76, 26, -99, 7, 40]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 (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\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-34},{\"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\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/25/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -46}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 54, 43, -57, 17, 49, 91, -74, -65, 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\nDefine task_3_input = {\"result\": [-71, -68, -38, 49, -76, -37, -74, 39, -17, -99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 (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": "8", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[80,54,43,-57,17,49,91,-74,-65,32]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/25/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -67}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-40, -70, 18, -47, 72, -22, -11, 78, 25, 82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 (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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-7]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-26,-66,-94]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/25/6", "category": "python", "topology": "three_independent_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\": -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 = 68.\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\nDefine task_2_input = {\"result\": [49, 3, 9, -36, -58, -7, -14, 80, -56, 6]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-66, -73, 57, -43, 22, -58, 81, 36, -48, -90]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -98.\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": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,69,-38,29]},{\"node_id\":\"task_2\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/25/7", "category": "python", "topology": "three_independent_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\": -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 = [27, -89, 19, 56, -75, -14, -100, -11, -73, 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\nDefine task_2_input = {\"result\": 42}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-95, -56, -93, -100, -75, -28, 65, 18, 44, 9].\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\nDefine task_3_input = {\"result\": [-26, -51, 83, 53, 46, -66, -2, -30, 98, -91]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -24.\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": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[27,-89,19,56,-75,-14,-100,-11,-73,73]},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/25/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [16, 47, 33, -100, -38, -85, 86, -1, -16, -3]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-74, -1, 32, 4, 90, -46, 48, 55, 53, 4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 (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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":81},{\"node_id\":\"task_2\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/25/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -56}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-87, 30, 6, -95, -26, -45, 100, 53, 23, -58].\nDefine task_2_runningCost_static = 48.\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\nDefine task_3_input = {\"result\": [49, 41, 65, -1, 58, 99, -64, -41, -54, -19]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 (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": "7", "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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/25/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-90, -49, -98, -29, -21, -39, 17, -30, 21, -33]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 31.\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\nDefine task_3_input = {\"result\": [-63, -99, 4, 98, -53, 89, -2, 73, 2, 72]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 (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\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":21},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/25/11", "category": "python", "topology": "three_independent_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\": 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_initialExperience_static = 43.\nDefine task_1_energy_static = [-26, -28, -80, 2, -91, -17, -29, -54, -35, 12].\nDefine task_1_experience_static = [-82, -62, -23, 22, -42, -93, 8, 1, 1, 4].\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\nDefine task_2_input = {\"result\": [-61, -27, 57, -35, -59, 22, -79, -25, 14, -69]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-79, 65, 49, 88, -61, 53, -74, 80, 91, -75]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -9.\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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":246},{\"node_id\":\"task_2\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-69},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/25/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-37, 50, 69, -55, 77, 6, -54, -16, -97, 98]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-93, 9, 97, 66, 56, -48, 8, -81, 16, 49]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 (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\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[50,69,77,77,98,98,-16,98,98,-1]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/25/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [62, 54, -21, -77, 14, 58, 94, 79, -87, -23]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [79, 31, 33, -58, 13, 67, -35, -56, -83, -61]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -50.\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": "7", "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\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[6,4,2,1,3,5,10,3,1,2]},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/25/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 27}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 56.\nDefine task_2_energy_static = [61, -78, -93, -6, 85, -68, -98, -57, 53, 89].\nDefine task_2_experience_static = [42, 18, 82, -90, 10, -92, 52, 8, 76, 69].\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\nDefine task_3_input = {\"result\": [55, 73, -55, 53, -94, -79, -14, 28, 5, 78]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":27},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/25/15", "category": "python", "topology": "three_independent_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\": -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_customers_static = [20, 24, -85, 22, 59, 90, 26, 53, -18, -93].\nDefine task_1_runningCost_static = -64.\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\nDefine task_2_input = {\"result\": 25}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [64, 100, 72, -24, -20, 15, 91, 35, -68, 3].\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\nDefine task_3_input = {\"result\": [-21, 92, 46, -16, 42, 64, 30, -16, -95, 25]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 (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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":38},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":25},{\"node_id\":\"task_3\",\"native_task_id\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/26/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-39, 54, 91, -5, -83, 26, -18, 93, -29, 42]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -90}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 40, 2, -2, 82, -24, -6, 41, -4, 75].\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\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":629},{\"node_id\":\"task_2\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":7}]"} {"id": "python/three_independent_target/26/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [25, 81, 26, 38, 30, 3, 69, -41, 95, 62]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 38}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [34, -53, 88, 24, -99, 59, 100, 17, 37, 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) -> 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": "2", "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\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":2}]"} {"id": "python/three_independent_target/26/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 15}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [43, -30, 1, 1, -1, 85, -95, 16, 41, -12].\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\nDefine task_3_input = {\"result\": 42}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 55, 5, 89, 29, -3, 90, -38, 100, 51].\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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":85},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":3}]"} {"id": "python/three_independent_target/26/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 57}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-47, 24, -42, 71, -88, -43, -92, 53, -53, -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\nDefine task_3_input = {\"result\": -81}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [29, -100, 78, -36, 2, 23, 57, 21, 83, -91].\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\":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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":71},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":7}]"} {"id": "python/three_independent_target/26/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [71, -65, 64, 0, -67, -70, -40, 92, -97, 18]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -16}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-75, -11, 45, 7, -27, 95, -69, 53, 28, -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 (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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5}]"} {"id": "python/three_independent_target/26/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -59}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-15, -29, -94, 92, -86, 100, -58, -65, 84, 2].\nDefine task_2_runningCost_static = 33.\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\nDefine task_3_input = {\"result\": 49}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -68, 68, 24, 62, -4, 81, -12, 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) -> 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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5}]"} {"id": "python/three_independent_target/26/6", "category": "python", "topology": "three_independent_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\": [-24, -10, -46, 90, 42, -52, 33, 34, 50, 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\nDefine task_2_input = {\"result\": [-28, -64, 13, -28, 60, 22, 56, -36, 42, -87]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [69, 92, 54, -22, -66, -78, -48, -12, 40, -49].\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\nDefine task_3_input = {\"result\": 34}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -92, -91, 14, -25, 69, 68, -2, 12, -3].\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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-24,-10,-46,90,33,34,50,86]},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,38,25,65,-50,-6,-57,6,-49,80,-136]},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6}]"} {"id": "python/three_independent_target/26/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [18, 54, 96, 50, -4, -22, -58, -28, -76, -9]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [64, -63, -35, 73, -9, -51, -99, 2, -32, 55].\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\nDefine task_3_input = {\"result\": -20}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 22, 82, -100, -42, 27, -21, -61, -23, -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 (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\":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\":21},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":7}]"} {"id": "python/three_independent_target/26/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 95}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": 61}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":89},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5}]"} {"id": "python/three_independent_target/26/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 21}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-22, -98, 63, 34, 20, -16, -60, -15, 71, -90].\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\nDefine task_3_input = {\"result\": 36}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -60, 20, -70, 76, 91, -96, 46, -75, -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 (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\":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\":6}]"} {"id": "python/three_independent_target/26/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [84, 68, 56, 66, 19, -39, 92, 48, -4, 47]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 99}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -66, 5, -62, -41, -71, 23, 43, -88, -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": "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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6}]"} {"id": "python/three_independent_target/26/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [60, -66, -72, 83, 15, 81, -72, -39, -16, 55]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 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\nDefine task_3_input = {\"result\": 38}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 23, -55, -16, 71, 88, -76, -77, -97, 94].\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\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":85},{\"node_id\":\"task_2\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6}]"} {"id": "python/three_independent_target/26/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-43, -47, -70, 41, 2, -79, -20, -33, -13, -99]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -59}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -26, -41, 46, 16, -32, 10, 31, 77, -65].\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": "4", "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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[318,228,111,82,125,48,51,104,150,262]},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":4}]"} {"id": "python/three_independent_target/26/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-31, 82, 17, -6, 63, 16, -64, 6, 28, 90]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-94, 66, 20, 49, 74, -28, 69, -13, -42, -71].\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\nDefine task_3_input = {\"result\": -9}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [3, 60, -74, 41, 29, -98, -26, 63, 72, 72].\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": "4", "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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-71,-42,-13,69,-28,74,49,20,66,-94,-31,82,17,-6,63,16,-64,6,28,90]},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":4}]"} {"id": "python/three_independent_target/26/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 24}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": -2}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [87, 26, -16, -29, -53, -24, 5, -17, 53, 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 (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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":98},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,58,25]},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6}]"} {"id": "python/three_independent_target/26/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-58, -90, -87, 70, -35, -91, 9, 40, 4, -35]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 35}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [42, 30, 76, -49, 8, -5, -54, -93, 62, 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": "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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-58,-87,-87,-35,-35,-35,9,9,4,-35]},{\"node_id\":\"task_3\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6}]"} {"id": "python/three_independent_target/27/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-4, -99, 41, 80, 39, -76, -18, 26, -93, -68]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [15, -71, -22, 70, 30, -18, 66, -52, 95, 75]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "144", "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\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[80,-4]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":144}]"} {"id": "python/three_independent_target/27/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -3}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [80, 54, -75, 76, -76, 90, 83, -12, -97, -15].\nDefine task_2_passengers_static = [-10, -89, -22, 62, 4, 41, -23, 56, -48, -84].\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\nDefine task_3_input = {\"result\": [-4, -61, 19, -72, -99, 0, -73, -14, -47, 94]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "144", "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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":90},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":144}]"} {"id": "python/three_independent_target/27/2", "category": "python", "topology": "three_independent_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\": [63, -73, 29, 52, 54, 89, -22, -72, 33, -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 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\nDefine task_2_input = {\"result\": 86}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [82, -1, -16, 87, -97, 17, 34, 53, -51, -97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "300", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[5,1,1,1,1,0,2,1,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-12]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":300}]"} {"id": "python/three_independent_target/27/3", "category": "python", "topology": "three_independent_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\": 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 = [-80, -100, 100, 42, 59, -100, -65, 47, 1, 17].\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\nDefine task_2_input = {\"result\": [-35, -96, -1, -21, -91, -58, 52, -38, -61, 43]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [4, 31, 1, 64, -84, 5, 26, 82, -15, 89]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "168", "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\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,4,3,1,1,0,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":168}]"} {"id": "python/three_independent_target/27/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [89, 59, 41, -59, -56, 0, 6, 55, 1, -58]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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_passengers_static = [47, -72, 20, 52, -4, -18, 70, 33, -24, 50].\nDefine task_2_capacity_static = 75.\nTrace the execution of task_2 with inputs passengers = task_2_passengers_static, capacity = task_2_capacity_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], passengers: List[int], capacity: int) -> int:\n list_2.sort()\n passengers.sort()\n j = 0\n for t in list_2:\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_2[-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\nDefine task_3_input = {\"result\": [-51, 8, -54, -51, 75, 32, 24, -88, -25, 16]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "15", "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\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":89},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":15}]"} {"id": "python/three_independent_target/27/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -81}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [32, -14, -34, -9, -41, -32, -99, 5, 82, -5]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "126", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-58,-80,-140]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":126}]"} {"id": "python/three_independent_target/27/6", "category": "python", "topology": "three_independent_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\": -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_plants_static = [-15, -36, -45, 77, 53, 94, -99, 57, -46, 9].\nDefine task_1_capacityB_static = -71.\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\nDefine task_2_input = {\"result\": [-11, -14, 6, -9, -82, 39, 27, -56, 75, 27]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [6, 3, 97, -20, 53, -16, 66, 94, 96, 46].\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\nDefine task_3_input = {\"result\": [-52, -67, 95, -85, -4, -23, -18, 25, 24, -61]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "120", "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\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-5,-12,101,-29,-30,20,90,35,168,71]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":120}]"} {"id": "python/three_independent_target/27/7", "category": "python", "topology": "three_independent_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}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 78.\nDefine task_1_energy_static = [-1, -37, -40, -13, -72, 91, 56, 3, 35, -19].\nDefine task_1_experience_static = [-97, -23, 6, 51, 0, -87, -52, 64, -73, 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\nDefine task_2_input = {\"result\": -62}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-9, -66, -85, 67, -63, -97, -43, 20, -25, 78].\nDefine task_2_capacityB_static = -45.\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\nDefine task_3_input = {\"result\": [-40, 75, 93, 71, 20, 80, -99, 64, -87, 1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":222},{\"node_id\":\"task_2\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":128}]"} {"id": "python/three_independent_target/27/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [88, 26, -53, -4, 49, 11, 77, 58, -86, 100]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [46, -65, -76, 92, 97, 24, 72, 18, 28, -43]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "72", "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\":29,\"native_task_name\":\"findMin:list\",\"output_value\":26},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":72}]"} {"id": "python/three_independent_target/27/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-46, -14, 46, 50, -44, 66, -6, 99, -33, 5]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [18, 98, 69, -31, -48, -37, 66, 8, -66, -46]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "111", "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\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":279},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":111}]"} {"id": "python/three_independent_target/27/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [72, 0, 73, -50, 24, 12, -13, -50, -52, 65]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-18, -54, 64, -52, 47, 70, 55, 2, 13, 4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "72", "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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[72,73,65]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":72}]"} {"id": "python/three_independent_target/27/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 26}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [17, 99, -87, 56, -73, -78, -14, -100, 44, -47].\nDefine task_2_runningCost_static = -29.\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\nDefine task_3_input = {\"result\": [74, -24, -35, 89, 100, 33, 91, -100, 55, 9]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "346", "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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":346}]"} {"id": "python/three_independent_target/27/12", "category": "python", "topology": "three_independent_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\": -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 = [27, 15, -94, 10, 85, -69, -84, 56, 84, 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 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\nDefine task_2_input = {\"result\": [-63, 14, 94, -32, 70, 11, -1, -89, -41, 7]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-65, 67, -56, -19, 49, 35, -32, 39, 31, 79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "104", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":369},{\"node_id\":\"task_2\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":22},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":104}]"} {"id": "python/three_independent_target/27/13", "category": "python", "topology": "three_independent_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\": [5, 69, 68, -17, 46, 49, 57, -23, 54, 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_queries_static = [-17, -52, -99, -75, -57, 54, 84, 37, -3, 76].\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\nDefine task_2_input = {\"result\": [80, -91, 92, -98, -89, -66, -12, -17, 58, -37]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [68, -47, 74, 73, 72, 38, -72, 89, -24, -46].\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\nDefine task_3_input = {\"result\": [3, 50, -89, -77, 44, 86, 20, 79, -22, 36]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "132", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[76,-3,37,84,54,-57,-75,-99,-52,-17,5,69,68,46,49,57,-23]},{\"node_id\":\"task_2\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":132}]"} {"id": "python/three_independent_target/27/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -47}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 6, -98, -99, 60, -68, -2, 91, 74, 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\nDefine task_3_input = {\"result\": [36, 4, -12, -57, -89, 22, -50, 43, -86, 90]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "36", "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\":[11,6,-98,-99,60,-68,-2,91,74,47]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":36}]"} {"id": "python/three_independent_target/27/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -31}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -84, 13, 19, 62, -6, -39, 82, -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\nDefine task_3_input = {\"result\": [-37, -96, -99, -31, 84, -30, 78, -68, -38, 15]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[5,92,-84,13,19,62,-6,-39,82,-34]},{\"node_id\":\"task_3\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":24}]"} {"id": "python/three_independent_target/28/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 14}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [51, 20, 67, 90, 83, 66, 35, 81, -35, 45]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":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\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5},{\"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_independent_target/28/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -83}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-73, 84, 19, -62, 27, 89, 82, 49, -8, 78].\nDefine task_2_passengers_static = [4, -75, -22, 61, -53, 37, -38, 64, 28, 9].\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\nDefine task_3_input = {\"result\": [6, -53, -73, -41, 43, 72, 16, -78, -39, 8]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":89},{\"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_independent_target/28/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [71, -59, -72, -16, 64, -36, -15, 15, -49, 38]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, -45, -67, -9, -6, 32, 33, -44, -9, -50].\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\nDefine task_3_input = {\"result\": [92, -96, -37, 75, 55, -39, -19, -84, 93, -47]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-27,-104,-139,-26,56,-5,16,-29,-58,-12]},{\"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_independent_target/28/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -58}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -19, 65, -52, 37, -10, 67, -25, 59, 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) -> 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\nDefine task_3_input = {\"result\": [-57, -11, 3, -23, 65, -70, -82, 90, -95, 63]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"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_independent_target/28/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-16, -6, 84, 93, 75, 82, 54, 33, -10, -33]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [87, -30, 61, 13, 69, 37, -95, -94, -47, -58]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":66},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,3,10,1,6,4,3,2,1]},{\"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_independent_target/28/5", "category": "python", "topology": "three_independent_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\": 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 = 69.\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\nDefine task_2_input = {\"result\": -78}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-82, -19, 95, 38, -69, 100, 59, -82, 94, -23].\nDefine task_2_runningCost_static = -56.\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\nDefine task_3_input = {\"result\": [-90, -63, -66, -25, -24, 85, 82, 70, 43, 2]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,70]},{\"node_id\":\"task_2\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":2},{\"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_independent_target/28/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 4}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 68, 42, -79, 16, -10, -61, 10, -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\nDefine task_3_input = {\"result\": [48, -100, -35, -66, 42, 28, -99, -63, -78, -5]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":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,-46,68,42,-79,16,-10,-64,10,-61]},{\"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_independent_target/28/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 99}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -84, -57, -80, -57, -86, 73, -36, 81, 24].\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\nDefine task_3_input = {\"result\": [34, 84, -85, 72, -81, 24, -15, -76, -10, 38]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":109},{\"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_independent_target/28/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [15, 63, -81, -61, 90, -69, 66, 83, 31, -54]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [28, -32, -41, 22, -9, 89, 95, 8, 34, -22].\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\nDefine task_3_input = {\"result\": [11, -31, -36, -28, 77, -32, 80, -89, 43, -24]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":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_independent_target/28/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 74}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 41, 6, -23, -85, -94, 14, -95, -28, 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\nDefine task_3_input = {\"result\": [-97, 19, -26, -11, 81, -35, 6, 65, -83, 66]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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,-23,6,14,41,44]},{\"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_independent_target/28/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 89}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -52, 23, -47, -34, -44, -87, -87, -18, 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) -> 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\nDefine task_3_input = {\"result\": [-7, -40, -43, -90, 59, -67, -12, -17, -9, 100]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":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_independent_target/28/11", "category": "python", "topology": "three_independent_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\": -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 = 97.\nDefine task_1_bound_static = 24.\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\nDefine task_2_input = {\"result\": [50, -19, -45, -93, -97, -4, -8, 70, -52, 9]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [68, 7, -37, 59, 35, -68, -15, 53, -23, 55]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-14]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[50,-52,70,-8,-4,-97,-93,-45,-19,9]},{\"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_independent_target/28/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -47}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, 80, 2, -27, 21, -21, -32, 21, 98, -65].\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\nDefine task_3_input = {\"result\": [24, 66, 7, 87, 75, -10, 6, -84, -68, 91]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[10,9,8,3,6,5,4,3,2]", "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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":98},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,3,6,5,4,3,2]}]"} {"id": "python/three_independent_target/28/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-17, 36, 0, -68, 12, -81, 31, 35, -41, -12]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-46, -69, -37, 26, 6, 93, -86, -1, -65, -14]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[10,9,8,7,3,6,5,4,3,2]", "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\":[88,107,143,75,19,50,100,34,40,93]},{\"node_id\":\"task_3\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,3,6,5,4,3,2]}]"} {"id": "python/three_independent_target/28/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [80, -38, -61, 79, 75, -94, 37, -4, -4, -69]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [0, 47, -97, -53, 96, -67, -58, -47, -29, 38]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":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\":[80,-38,-4,-4,-94,75,37,79,-61,-69]},{\"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_independent_target/28/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-47, -34, -82, -19, 99, -8, -79, 76, 36, 44]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 (l, r) = (0, len(list_2) - 1)\n ans = 0\n while l < r:\n t = min(list_2[l], list_2[r]) * (r - l)\n ans = max(ans, t)\n if list_2[l] < list_2[r]:\n l += 1\n else:\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\nDefine task_3_input = {\"result\": [-39, 46, -60, 89, -60, -27, -6, 34, 56, 67]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":228},{\"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_independent_target/29/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -65}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [83, -5, 28, 46, 73, 35, 6, -2, 60, -22]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-5", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,10,-64,-56,16]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-5}]"} {"id": "python/three_independent_target/29/1", "category": "python", "topology": "three_independent_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\": [51, 35, 64, 76, -63, 91, -17, -29, -55, -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 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\nDefine task_2_input = {\"result\": [-81, 56, 8, -44, -41, -38, -99, -91, 91, -59]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [88, -32, -98, -39, -97, 70, -32, -16, 17, -33]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-32", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[51,-17]},{\"node_id\":\"task_2\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-32}]"} {"id": "python/three_independent_target/29/2", "category": "python", "topology": "three_independent_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\": 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_y_static = -29.\nDefine task_1_bound_static = 79.\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\nDefine task_2_input = {\"result\": 18}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [55, 80, -98, 44, -39, -17, -19, -1, 10, 94]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "55", "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\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":55}]"} {"id": "python/three_independent_target/29/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -55}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -62, -29, 40, 27, 41, -93, 89, -8, -44].\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\nDefine task_3_input = {\"result\": [81, -75, 87, -99, 54, 50, 56, 55, 46, -65]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-99", "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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":89},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-99}]"} {"id": "python/three_independent_target/29/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [29, -29, -63, 46, -68, -63, 16, -54, 95, -2]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [44, 95, 4, -41, 17, -22, -64, -33, 67, -4].\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\nDefine task_3_input = {\"result\": [-70, 24, -12, -67, -70, 76, -88, 80, 83, 45]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-70", "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\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":152},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-70}]"} {"id": "python/three_independent_target/29/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 74}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -48, 90, -69, 75, -9, -50, 44, -56, 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\nDefine task_3_input = {\"result\": [-44, 49, 83, -35, 21, 94, -49, -32, 47, 15]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-44}]"} {"id": "python/three_independent_target/29/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 53}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-68, -51, -71, -39, 63, -5, 13, 7, -87, -1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-68", "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\":[2,15,54]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-68}]"} {"id": "python/three_independent_target/29/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 83}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-85, -26, 63, -36, -32, 44, -28, 1, -52, 58]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-85", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-53]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-85}]"} {"id": "python/three_independent_target/29/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [48, -73, -36, -64, 56, -21, -23, 13, 69, -72]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [29, -32, -62, 57, -97, -44, 36, 67, -67, 76]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[4,1,2,1,4,2,1,1,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":29}]"} {"id": "python/three_independent_target/29/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [96, 10, 8, 46, -29, -66, -33, 39, 60, -64]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [37, 27, 83, 73, -37, 98, -98, -57, 72, 7]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-37", "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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[29,135,153,207,224,129,30,36,135,131]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-37}]"} {"id": "python/three_independent_target/29/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -40}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -98.\nDefine task_2_energy_static = [-2, -52, 64, 28, -5, -59, -17, -26, -48, 34].\nDefine task_2_experience_static = [84, -69, -6, -17, 38, -99, -48, -59, -67, 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\nDefine task_3_input = {\"result\": [-27, 48, -62, 23, -17, 71, 57, -94, -41, 42]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-27", "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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":366},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-27}]"} {"id": "python/three_independent_target/29/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -61}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [10, -63, 63, -38, 99, -46, 34, -70, -12, 70]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "10", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,14,-60,-48]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/29/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-52, -53, 81, -5, 94, 56, -57, 12, -59, -81]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [19, 93, -76, -19, -45, 22, 75, -97, -77, 31]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "19", "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\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":19}]"} {"id": "python/three_independent_target/29/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -27}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 16, -57, -41, -19, -49, 65, -45, -22, 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\nDefine task_3_input = {\"result\": [99, 42, -40, 73, 13, 90, 3, -47, 80, 2]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "42", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[9,16,-57,-41,-19,-49,65,-45,-22,75]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":42}]"} {"id": "python/three_independent_target/29/14", "category": "python", "topology": "three_independent_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\": -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_y_static = -81.\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\nDefine task_2_input = {\"result\": [-71, -71, -48, 52, -1, -70, 61, 29, 76, 20]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [59, 42, 82, 72, -97, 54, -80, -63, 43, -84]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-97", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-80,-8,-90]},{\"node_id\":\"task_2\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":16},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-97}]"} {"id": "python/three_independent_target/29/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -87}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [47, -62, -23, 18, -68, 75, -68, 56, -70, -34]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-62", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-66,-86,-154]},{\"node_id\":\"task_3\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-62}]"} {"id": "python/three_independent_target/30/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [71, 61, -19, -67, -80, 36, -1, 55, 41, -85]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-4, -88, 76, -41, 58, 16, -11, 50, -92, -10]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "250", "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\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,1296,6400,4489,361,3025,1681,3721,5041,7225]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":250}]"} {"id": "python/three_independent_target/30/1", "category": "python", "topology": "three_independent_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\": 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 = -32.\nDefine task_1_energy_static = [45, -76, -34, -6, 59, 44, 79, 21, -41, 42].\nDefine task_1_experience_static = [-70, -88, 93, 46, 1, -86, 18, -13, -39, -86].\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\nDefine task_2_input = {\"result\": 19}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [19, -13, 20, 69, -39, 49, -20, 57, 25, -10].\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\nDefine task_3_input = {\"result\": [-35, -66, 68, -99, -87, -4, -22, 5, -20, 26]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "182", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":392},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":182}]"} {"id": "python/three_independent_target/30/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-62, 77, -18, -94, -96, -30, 77, 29, -40, -76]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-29, 16, -45, -19, 25, 68, 59, 40, 44, 63]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "252", "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\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":252}]"} {"id": "python/three_independent_target/30/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-3, 26, -46, -65, 9, 58, 37, 71, -71, -100]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-93, 89, 86, 76, -65, 48, -42, 33, 77, -74].\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\nDefine task_3_input = {\"result\": [-18, 60, -73, 40, -63, 27, -55, -32, 18, -54]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "126", "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\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":126}]"} {"id": "python/three_independent_target/30/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -87}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -54, -49, 73, 32, 97, -21, 46, 72, 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) -> 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\nDefine task_3_input = {\"result\": [14, -50, 56, 97, -63, -48, 61, -15, 81, -75]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "405", "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\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":405}]"} {"id": "python/three_independent_target/30/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-54, 3, -1, 67, -100, 52, -51, -35, 67, 15]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-20, 44, -61, 83, -38, -89, 89, -57, 25, -65]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "249", "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\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-54,52,0,67,-1,3,-51,-35,67,15]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":249}]"} {"id": "python/three_independent_target/30/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 32}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 74.\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\nDefine task_3_input = {\"result\": [-42, 50, 87, 46, -6, -31, 60, -32, -85, 47]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "376", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,33]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":376}]"} {"id": "python/three_independent_target/30/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [81, 22, 32, 12, -81, 41, 36, -89, 18, -73]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-21, 70, 50, 15, 32, -80, -100, 61, 4, 79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "560", "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\":[-1,32,41,41,41,81,81,18,81,81]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":560}]"} {"id": "python/three_independent_target/30/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-100, 72, -97, 2, -100, 92, 4, -30, 57, 28]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [95, -9, 19, 11, -41, -80, 34, 41, 84, -46]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "672", "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\":[10,9,8,7,6,5,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":672}]"} {"id": "python/three_independent_target/30/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 99}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-40, 97, -28, -86, 19, 86, 61, -55, 86, 67]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "602", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-86]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":602}]"} {"id": "python/three_independent_target/30/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -88}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -72, -46, -85, -77, 85, -89, 4, 3, 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\nDefine task_3_input = {\"result\": [48, 59, -88, -91, -88, -24, 70, -82, 91, -93]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "413", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[57,-72,-46,-85,-77,85,-89,4,3,71]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":413}]"} {"id": "python/three_independent_target/30/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -78}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [32, -51, 67, 88, -27, -95, -38, -84, -35, -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\nDefine task_3_input = {\"result\": [91, 69, 26, 53, 46, 83, -83, 13, -51, 86]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "774", "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\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":774}]"} {"id": "python/three_independent_target/30/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -26}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [68, 29, 3, 72, -6, 94, 65, 7, -54, -41]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "390", "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,-25,5]},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":390}]"} {"id": "python/three_independent_target/30/13", "category": "python", "topology": "three_independent_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\": [46, -2, 41, -55, 17, 35, 92, -88, 24, -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 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\nDefine task_2_input = {\"result\": [-51, -89, 0, 29, -65, -29, 18, 89, 32, 50]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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_passengers_static = [-9, -37, 84, -28, 13, 32, -83, 33, 18, -23].\nDefine task_2_capacity_static = 97.\nTrace the execution of task_2 with inputs passengers = task_2_passengers_static, capacity = task_2_capacity_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], passengers: List[int], capacity: int) -> int:\n list_2.sort()\n passengers.sort()\n j = 0\n for t in list_2:\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_2[-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\nDefine task_3_input = {\"result\": [-95, -78, 32, -85, 97, 83, 21, 66, 19, 31]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "217", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[92,46,-2]},{\"node_id\":\"task_2\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":89},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":217}]"} {"id": "python/three_independent_target/30/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [79, 53, 85, 70, 50, -59, -58, -61, 27, -53]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 g = [1] * n\n for i in range(1, n):\n if list_2[i] > list_2[i - 1]:\n f[i] = f[i - 1] + 1\n ans = 0\n for i in range(n - 2, -1, -1):\n if list_2[i] > list_2[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_2 = ans\n return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nDefine task_3_input = {\"result\": [-90, 27, 41, -99, 40, -15, -19, -7, -57, 49]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "287", "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\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":287}]"} {"id": "python/three_independent_target/30/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [40, 23, -23, 100, -11, -99, 26, 15, -88, -47]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [52, -17, -74, -78, -95, 14, -85, 51, 65, 23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "416", "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\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999996375},{\"node_id\":\"task_3\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":416}]"} {"id": "python/three_independent_target/31/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 35}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-56, -28, -95, 53, 8, 39, -31, -16, 77, -15]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "161", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,36]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":161}]"} {"id": "python/three_independent_target/31/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [65, 15, -80, 6, -40, 27, -93, -94, 88, 24]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-37, 67, 83, 39, -61, 46, -11, -68, 62, 0]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "235", "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\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[3,3,1,2,1,2,2,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":235}]"} {"id": "python/three_independent_target/31/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-13, 92, 22, 39, -73, -38, 19, 19, 66, -92]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-82, -88, 84, -35, 20, 14, 9, 45, 54, -43]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "226", "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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-13,31,31,30,-38,-38,19,19,19,-92]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":226}]"} {"id": "python/three_independent_target/31/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [95, 89, -20, -22, 45, 29, 47, -46, -72, 60]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-59, -39, 75, 12, -89, -8, 38, 21, -72, 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\nDefine task_3_input = {\"result\": [-56, -52, -29, -35, -1, -43, 52, -6, -33, 45]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "91", "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\":[1,1,33,47,53,-10,-45,18,83,-25,-145,99]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":91}]"} {"id": "python/three_independent_target/31/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [47, 100, 55, 10, 23, -20, -35, 90, 91, 67]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [43, 86, 76, 60, -72, -27, -71, -60, -57, -7]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "265", "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\":[90,0,-20,10,23,55,-35,47,91,67]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":265}]"} {"id": "python/three_independent_target/31/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 79}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-14, 89, -83, -1, -31, -63, -11, -59, -53, 58].\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\nDefine task_3_input = {\"result\": [-99, -98, 41, 80, 98, 28, 10, -28, -32, 22]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-70,-59,50,11,70,32]},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":133},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":257}]"} {"id": "python/three_independent_target/31/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [58, -86, 5, -12, -45, 65, 89, 38, 17, -97]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [92, 31, -43, -91, -34, 12, 50, 83, -83, 35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "191", "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\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":191}]"} {"id": "python/three_independent_target/31/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [61, -96, -52, -15, -84, -68, 40, -52, -33, -64]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-68, -72, 45, -65, 44, -46, -21, -55, 39, 58]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "97", "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\":[-64,-96,-52,-52,-84,-68,40,-15,-33,61]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":97}]"} {"id": "python/three_independent_target/31/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-26, 97, -38, 19, 87, 70, -68, 99, -18, 89]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [29, 62, 82, 69, 36, -38, -38, -42, -27, -46]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "278", "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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[337,266,207,226,120,37,39,70,151,222]},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":278}]"} {"id": "python/three_independent_target/31/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 88}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -46, 88, -83, -30, 49, -92, 63, 43, -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) -> 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\nDefine task_3_input = {\"result\": [45, -64, 23, -78, -39, 90, 15, -57, 25, 78]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "208", "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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":108},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":208}]"} {"id": "python/three_independent_target/31/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 57}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -5, 26, 9, -80, -90, -36, 6, 22, 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 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\nDefine task_3_input = {\"result\": [33, 84, -48, -26, -28, 19, 81, 37, 15, -100]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "215", "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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":87},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":215}]"} {"id": "python/three_independent_target/31/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-62, 4, 69, -70, 58, -59, 100, -68, -11, 27]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [1, 25, -16, -33, -19, 27, -92, -55, -100, -60].\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\nDefine task_3_input = {\"result\": [7, 13, -38, 21, 77, 5, -47, 20, 18, -91]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "141", "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\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":999999895},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":141}]"} {"id": "python/three_independent_target/31/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [62, -68, -38, -62, -79, 65, -18, -6, -73, 78]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [95, -35, 100, 4, -18, -6, 22, -68, 1, -78]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "99", "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\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":78},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":99}]"} {"id": "python/three_independent_target/31/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [58, -35, 10, -80, -27, 13, 46, -26, -89, 22]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-68, -43, -55, 59, -66, -63, 41, 39, -87, 63].\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\nDefine task_3_input = {\"result\": [10, 70, 67, 58, 78, 28, 17, -30, 89, -83]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "417", "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\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":26},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":417}]"} {"id": "python/three_independent_target/31/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -31}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 41, -10, -17, 58, -60, 5, -52, 13, 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) -> 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\nDefine task_3_input = {\"result\": [37, 99, 69, -79, 66, -42, -27, -88, 12, 75]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "271", "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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":271}]"} {"id": "python/three_independent_target/31/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-3, 48, -74, 2, -63, 85, 36, 57, 71, 68]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [42, -65, -2, 35, 49, -2, 23, -67, 97, 34]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "236", "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\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":180},{\"node_id\":\"task_3\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":236}]"} {"id": "python/three_independent_target/32/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-42, -85, -76, 44, 38, 6, -4, -92, -1, -92]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [89, -33, 69, -67, -59, 27, 75, 37, -57, 47]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "89", "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\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[3,1,1,0,0,0,2,1,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":89}]"} {"id": "python/three_independent_target/32/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [33, 18, -96, -77, 34, 70, 41, -1, -37, -30]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -13.\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\nDefine task_3_input = {\"result\": [-16, -91, -39, -37, 92, -21, 16, 92, 96, -6]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "184", "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\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":70},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":184}]"} {"id": "python/three_independent_target/32/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [11, -55, -41, 67, 78, -39, 4, -79, 73, -11]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-42, 15, -9, -69, -18, 61, 55, -7, -17, -53]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "110", "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\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":3154},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/32/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 21}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-50, 76, 96, -62, 72, 86, -90, 45, -95, 61].\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\nDefine task_3_input = {\"result\": [-82, -79, -77, -40, 20, -99, 54, 12, -72, 96]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":96},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":96}]"} {"id": "python/three_independent_target/32/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [7, 45, 35, 55, -69, 58, 54, 62, -40, -88]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-53, 68, 37, -44, 73, -67, -76, 59, 66, -87]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "118", "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\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":118}]"} {"id": "python/three_independent_target/32/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-65, 4, 56, 52, 69, -25, -88, 59, 80, -17]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-77, 71, -49, 15, -79, -98, 4, 26, 52, 49]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "98", "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\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-265},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":98}]"} {"id": "python/three_independent_target/32/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [34, -13, 58, -17, -89, -44, 64, -57, -73, -5]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [54, -63, 20, 18, -51, 17, 28, -46, -43, 84]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[34,-17]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":84}]"} {"id": "python/three_independent_target/32/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -98}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -63.\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\nDefine task_3_input = {\"result\": [-40, -82, -29, 39, 40, -64, -68, 33, -36, 36]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-62,-97,-161]},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":78}]"} {"id": "python/three_independent_target/32/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [26, -20, 76, -34, 29, 30, 64, -47, -38, 41]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-71, -82, 80, 25, 4, -65, -21, -72, -16, -83]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "80", "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\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-34},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":80}]"} {"id": "python/three_independent_target/32/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 91}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-53, 21, 37, -1, -39, -58, -50, 55, -31, 92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "92", "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\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":32},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":92}]"} {"id": "python/three_independent_target/32/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -23}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-68, 71, -26, 53, -87, -79, -92, -85, -88, -35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "71", "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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-32},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":71}]"} {"id": "python/three_independent_target/32/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -87}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 26, 65, -57, 95, -48, 76, -44, 69, -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 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\nDefine task_3_input = {\"result\": [82, -53, -47, -14, 10, -47, -94, -77, -60, 80]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "82", "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\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":82}]"} {"id": "python/three_independent_target/32/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-15, -35, -79, 68, -34, 100, 33, 46, 98, -82]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [63, 75, -14, -58, -57, -18, -36, -23, -99, -30].\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\nDefine task_3_input = {\"result\": [-64, -66, 72, -49, 30, -99, 86, -65, 73, -51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "86", "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\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":86}]"} {"id": "python/three_independent_target/32/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [48, -75, 14, -7, 99, 87, -32, 15, -44, 9]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-22, -51, -18, -90, -58, 77, 85, 14, 43, 22]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "154", "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\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":154}]"} {"id": "python/three_independent_target/32/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-83, 98, 6, 78, -48, -1, 39, 81, 56, -55]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [25, 1, 68, -59, 39, 48, -22, 47, 87, -43]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "94", "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\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":117},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":94}]"} {"id": "python/three_independent_target/32/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [46, -27, -90, -55, -17, -82, 44, 41, 24, -85]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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_passengers_static = [-92, 36, 93, -15, -41, -95, 15, -90, -83, 68].\nDefine task_2_capacity_static = 23.\nTrace the execution of task_2 with inputs passengers = task_2_passengers_static, capacity = task_2_capacity_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], passengers: List[int], capacity: int) -> int:\n list_2.sort()\n passengers.sort()\n j = 0\n for t in list_2:\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_2[-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\nDefine task_3_input = {\"result\": [-43, -29, 87, -99, 39, 22, 94, 32, 61, -46]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "110", "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\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":46},{\"node_id\":\"task_3\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/33/0", "category": "python", "topology": "three_independent_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\": 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_y_static = -2.\nDefine task_1_bound_static = 76.\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\nDefine task_2_input = {\"result\": [-44, 77, -71, -13, 27, -13, 33, -72, 98, -58]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-19, -29, 49, 42, -54, -68, -39, 81, 8, -68]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-1,5,-7,17,-31,65,-127,62,59,65,53]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-7,-5,-3,-2,0,1,3,5,7,9]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/33/1", "category": "python", "topology": "three_independent_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\": [-45, 40, -83, 56, -16, 50, 21, 86, 80, -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\nDefine task_2_input = {\"result\": [34, 50, -80, -33, -41, 74, -66, 53, -77, -61]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-3, 19, -55, 4, 17, -78, -51, 23, 88, -28]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":280},{\"node_id\":\"task_2\",\"native_task_id\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/33/2", "category": "python", "topology": "three_independent_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\": -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_buses_static = [83, 97, -90, -42, -41, -33, -76, 28, 29, -89].\nDefine task_1_passengers_static = [-28, -4, 66, -21, -14, -75, 80, -15, -68, 39].\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\nDefine task_2_input = {\"result\": 38}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [45, -64, -67, -50, 32, 90, 70, 84, 23, 71]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":97},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-17]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/33/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -64}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [48, -55, 55, -4, -61, 69, 32, 74, -78, 35].\nDefine task_2_capacityB_static = 71.\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\nDefine task_3_input = {\"result\": [65, 58, 72, 52, 94, 14, -30, -46, -29, -28]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -26.\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\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":12},{\"node_id\":\"task_2\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/33/4", "category": "python", "topology": "three_independent_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\": [-79, -22, 92, -47, -63, -8, -49, 37, 29, 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_target_static = 60.\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\nDefine task_2_input = {\"result\": [63, 37, -19, -50, -2, -1, -76, -66, 99, -31]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [20, -62, 68, -6, -6, 2, 48, 18, -86, 30]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":96},{\"node_id\":\"task_2\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/33/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-42, -67, 26, -4, 82, 50, -75, 71, -34, -16]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-76, 41, 68, 37, -97, -49, -45, 95, -100, -12]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":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\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/33/6", "category": "python", "topology": "three_independent_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\": [-20, -14, -95, 37, 5, 100, 24, -35, 96, -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 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\nDefine task_2_input = {\"result\": 78}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -93, 99, 80, 15, 20, -83, -71, -74, -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) -> 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\nDefine task_3_input = {\"result\": [-56, -45, -66, 30, -80, 93, 86, 66, -65, 51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":113},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":91},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/33/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-51, -28, -6, -73, -37, -94, 73, -99, 7, -58]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-6, -97, -34, -77, 23, -64, 43, -40, 69, 21]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[73,-73]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/33/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -43}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -99, 50, 4, 1, -100, 3, 70, 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\nDefine task_3_input = {\"result\": [85, 56, 5, -43, 96, -14, 96, -72, 83, 14]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 32.\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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[42,-99,50,4,1,-100,3,70,31,53]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/33/9", "category": "python", "topology": "three_independent_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\": [-67, -47, -44, -19, -41, 33, 14, 100, 29, -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_arr2_static = [-65, 6, 59, -80, -91, 69, 53, 22, -97, -67].\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\nDefine task_2_input = {\"result\": [13, -16, -81, -4, -22, 33, 20, -44, 95, -96]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [26, -32, -89, -71, -14, -48, -33, -12, 26, 32]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-132,-42,13,-99,-133,99,64,20,-68,-127]},{\"node_id\":\"task_2\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":168},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/33/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -53}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-67, -13, -46, -92, 88, -66, 81, -71, -85, 18]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":47},{\"node_id\":\"task_2\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-49},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/33/11", "category": "python", "topology": "three_independent_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\": 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 = [-86, 90, -62, 69, -24, -17, 100, -37, -69, -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\nDefine task_2_input = {\"result\": 38}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 59, -27, 28, 28, -87, -15, 22, -70, 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\nDefine task_3_input = {\"result\": [73, 59, -67, -4, -56, -89, 44, 78, -64, -23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-86,90,-62,69,-24,-17,100,-37,-69,-10]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-27,-15,22,28,28,-87,29,43,-70,59]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/33/12", "category": "python", "topology": "three_independent_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\": 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_customers_static = [99, 28, -69, -34, 49, -67, -73, 73, 56, 33].\nDefine task_1_runningCost_static = 67.\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\nDefine task_2_input = {\"result\": -21}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -99, 36, 49, -1, 1, 83, -10, 50, 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\nDefine task_3_input = {\"result\": [-56, 47, -76, -98, 5, -59, -21, 90, -59, -40]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[93,-99,36,49,-1,1,83,-10,50,62]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/33/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -99}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, 30, 29, 3, 87, -100, -25, -34, 94, 75].\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\nDefine task_3_input = {\"result\": [64, 1, -25, 55, -31, 74, 39, -52, 58, -30]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -2.\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": "5", "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\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/33/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 47}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -69, -79, 41, 72, 17, 85, 4, -85, -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\nDefine task_3_input = {\"result\": [-14, -67, -52, 42, -83, -86, -90, 39, 15, -42]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[4,-85,-79,17,37,41,72,85,-79,-69]},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/33/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 65}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -58, -10, -19, 73, 99, -84, -42, 36, 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) -> 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\nDefine task_3_input = {\"result\": [60, -19, -34, -56, 68, 67, -58, -85, 99, -4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/34/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 11}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 69, -88, -23, -67, -98, -48, 78, -20, 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\nDefine task_3_input = {\"result\": 23}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-24, 6, -68, -41, -16, 35, 73, 61, -15, 84].\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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-32,-91,-125]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[31,69,-98,-23,-67,-88,-48,71,-20,78]},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":9}]"} {"id": "python/three_independent_target/34/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [96, 4, 48, -39, -23, 86, 55, -62, 25, -17]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 9}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 15, 9, 31, -50, 48, -94, 8, 75, -38].\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\":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\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[16,2304,1521,529,7396,3025,3844,625,289,9216]},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":8}]"} {"id": "python/three_independent_target/34/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [73, 11, 11, -61, 52, -78, 50, 33, 31, -96]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -81}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-66, 72, 87, 96, -21, -13, 7, -83, -23, 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": "3", "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\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":3}]"} {"id": "python/three_independent_target/34/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-28, 72, -34, -4, -55, -73, -28, 77, -71, -48]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 30}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [60, -23, 74, -80, 55, 69, 32, 77, 81, -63].\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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-28,-73,-28,77]},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":8}]"} {"id": "python/three_independent_target/34/4", "category": "python", "topology": "three_independent_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\": [31, -21, 96, -47, -49, -84, 16, -78, 25, 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 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\nDefine task_2_input = {\"result\": [-47, 26, -85, -2, 23, -42, -29, 96, -40, -89]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 53}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-48, 15, -60, -64, 79, -85, -20, -43, -58, -93].\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\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":22},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":4}]"} {"id": "python/three_independent_target/34/5", "category": "python", "topology": "three_independent_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\": [54, 100, -6, 40, -2, 78, 2, 37, -78, 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_target_static = 97.\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\nDefine task_2_input = {\"result\": [-100, -93, -31, 71, -7, -75, 30, 91, -45, -21]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -28.\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\nDefine task_3_input = {\"result\": -80}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-27, -68, 38, 57, -46, -46, -34, -84, 49, 84].\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\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":82},{\"node_id\":\"task_2\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":9}]"} {"id": "python/three_independent_target/34/6", "category": "python", "topology": "three_independent_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\": 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 = [-90, -66, 38, -48, -47, 62, -95, 55, -39, 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) -> 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\nDefine task_2_input = {\"result\": -13}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 45, 98, -95, -3, 81, -34, -64, 66, 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\nDefine task_3_input = {\"result\": 3}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [60, 56, 68, -98, -54, -74, 61, -95, -25, 69].\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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-21,45,98,-95,-3,81,-34,-64,66,85]},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":2}]"} {"id": "python/three_independent_target/34/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [18, -74, -54, 67, -84, -18, -52, 73, -6, 71]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 48}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-42, -26, 25, 40, 69, -31, 48, 38, 90, 85].\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\":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\":18},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":8}]"} {"id": "python/three_independent_target/34/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [94, -29, 22, -9, -87, 58, 3, 13, -61, 74]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [62, -7, -48, 92, 62, 72, -2, -21, 24, 79].\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\nDefine task_3_input = {\"result\": 49}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-43, -46, 14, -20, 5, 17, 85, -30, -98, 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": "6", "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\":393},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":6}]"} {"id": "python/three_independent_target/34/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-67, 8, 34, -99, -71, 84, 3, -88, -90, -32]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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\nDefine task_3_input = {\"result\": 39}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-82, 77, 58, -8, -42, 25, 86, 56, 33, -72].\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\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-99,-90,-88,-71,-67,-32,3,8,34,84]},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":6}]"} {"id": "python/three_independent_target/34/10", "category": "python", "topology": "three_independent_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\": [99, 67, 59, -83, 79, -51, 57, -16, -55, 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\nDefine task_2_input = {\"result\": [-68, -9, 76, -81, 73, 66, -20, 5, 70, 26]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-23, -18, 87, -21, 59, -80, -3, 83, 6, -9].\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\nDefine task_3_input = {\"result\": 28}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-15, 14, -87, 90, -10, -54, 0, 65, -83, 44].\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\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-1,79,79,79,99,57,62,62,62,99]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-9,6,83,-3,-80,59,-21,87,-18,-23,-68,76,-81,73,66,-20,5,70,26]},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":3}]"} {"id": "python/three_independent_target/34/11", "category": "python", "topology": "three_independent_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\": [25, 18, 27, -32, -29, -77, 41, 46, -3, -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_arr2_static = [-74, -93, -65, -68, 19, -43, -8, -87, 48, -82].\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\nDefine task_2_input = {\"result\": [-88, -24, -75, 33, 21, -19, 5, 52, -72, 94]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -47}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-25, 44, -27, -21, -57, 11, -66, 100, -68, 49].\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\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-49,-75,-38,-100,-10,-121,31,-42,43,-149]},{\"node_id\":\"task_2\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":7}]"} {"id": "python/three_independent_target/34/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-3, 52, -14, 84, 90, 25, -6, 67, -52, 34]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -95}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-36, 89, -11, 91, -57, -3, 74, -83, 85, 5].\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\":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\":332},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":3}]"} {"id": "python/three_independent_target/34/13", "category": "python", "topology": "three_independent_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\": 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.\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\nDefine task_2_input = {\"result\": -74}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": 38}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [47, 82, -56, -16, 37, 90, 8, -51, -57, -94].\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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":58},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-73,-32]},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":5}]"} {"id": "python/three_independent_target/34/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [10, 40, -55, -33, -3, -28, 4, 3, 75, -1]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 62}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [31, 68, 96, 26, 2, -21, -57, 66, -55, 69].\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\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":2}]"} {"id": "python/three_independent_target/34/15", "category": "python", "topology": "three_independent_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\": 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_y_static = 46.\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\nDefine task_2_input = {\"result\": -53}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 58, 7, -20, -89, 43, -13, -25, 58, 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\nDefine task_3_input = {\"result\": 70}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-87, -81, 44, 61, -44, 67, 69, 18, -89, 74].\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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,47,29,74]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[23,58,7,-20,-89,43,-13,-25,58,79]},{\"node_id\":\"task_3\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":9}]"} {"id": "python/three_independent_target/35/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 49}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [58, -53, -19, 28, 47, 24, 22, 28, -24, -57]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "203", "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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":94},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":203}]"} {"id": "python/three_independent_target/35/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 53}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [50, 67, 11, 98, 70, 33, 48, -52, 70, -99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "3355", "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,-77,54,-25]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":3355}]"} {"id": "python/three_independent_target/35/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 94}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-45, 38, 86, 99, -64, 27, -25, 16, 70, -21]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "428", "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,-12]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":428}]"} {"id": "python/three_independent_target/35/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-90, 56, -71, 24, 14, -87, 90, 88, 29, 88]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [35, 50, 80, -42, 8, -58, -94, -82, -49, -50]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "165", "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\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":165}]"} {"id": "python/three_independent_target/35/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [20, 7, 52, 97, -55, -58, -87, -73, 81, 52]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-28, 54, 38, 77, -77, 23, -89, -54, 30, 53]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 30.\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": "980", "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\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":980}]"} {"id": "python/three_independent_target/35/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-64, 16, 82, -28, 42, 23, 12, 64, -62, 62]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-27, -96, 88, 65, 65, 72, -57, 24, -39, 33]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -46.\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": "418", "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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":418}]"} {"id": "python/three_independent_target/35/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [80, -71, 30, -67, 0, 12, 1, -30, 24, -17]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [79, -5, -62, 10, 13, 71, 40, 74, 25, -81]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -63.\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": "409", "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\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-353},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":409}]"} {"id": "python/three_independent_target/35/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [45, -19, -67, -50, 15, 16, -21, -57, -82, -63]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [54, 76, 36, -9, -58, 91, -100, -78, -13, 4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "5340", "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\":[10,3,1,2,4,9,4,3,1,2]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":5340}]"} {"id": "python/three_independent_target/35/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -21}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-14, 49, 55, 81, -22, -15, -5, 54, -39, 21].\nDefine task_2_passengers_static = [-77, 74, 39, -9, -86, -43, 75, 68, -33, -4].\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\nDefine task_3_input = {\"result\": [33, -72, 44, -63, 3, 66, -40, 41, 59, 15]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 26.\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": "2294", "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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":81},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":2294}]"} {"id": "python/three_independent_target/35/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -24}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-1, 79, -44, 37, -48, -65, 71, -10, 97, -28]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "598", "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,-95,-23,-120]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":598}]"} {"id": "python/three_independent_target/35/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 76}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [67, -87, 38, -45, -19, -73, 43, 85, -24, -22].\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\nDefine task_3_input = {\"result\": [85, 59, -35, -46, 52, -4, -97, 52, -9, 16]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 39.\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": "2918", "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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":86},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":2918}]"} {"id": "python/three_independent_target/35/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 51}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -44, 80, -79, -62, 49, 100, -41, 53, -51].\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\nDefine task_3_input = {\"result\": [-1, -26, -4, 79, 14, -10, 43, 40, 90, -79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 66.\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": "9746", "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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":100},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":9746}]"} {"id": "python/three_independent_target/35/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-74, -49, -62, -57, 65, 68, -23, 25, -69, 68]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, 72, 41, 58, 43, 25, -12, 35, 92, -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\nDefine task_3_input = {\"result\": [-87, 100, -6, -25, 34, 55, 100, 90, -41, -43]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 60.\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": "179", "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\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-123,21,-21,0,105,91,-36,57,20,43]},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":179}]"} {"id": "python/three_independent_target/35/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-90, 32, 56, 55, -20, -9, -27, 53, 20, -77]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-31, 35, -19, 2, 75, 49, -73, -96, -100, 13]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -88.\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": "142", "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\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":335},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":142}]"} {"id": "python/three_independent_target/35/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -28}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 39, 98, 86, -68, 54, -1, -76, -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) -> 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\nDefine task_3_input = {\"result\": [-75, 89, -40, 77, 83, -73, 72, -85, -46, 92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 29.\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": "2841", "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\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":39},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":2841}]"} {"id": "python/three_independent_target/35/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-19, 13, -69, -16, 57, -35, 69, -20, -39, 77]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 10.\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\nDefine task_3_input = {\"result\": [-60, 71, -48, 30, -49, -20, -60, 96, 49, -81]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 98.\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": "145", "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\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":145}]"} {"id": "python/three_independent_target/36/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 4}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 30.\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\nDefine task_3_input = {\"result\": 88}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-64, 31, -20, -2, -60, 5, -1, -22, -62, -15].\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": "31", "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,-46,5,-43,17,-31]},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":31}]"} {"id": "python/three_independent_target/36/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -34}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 60, -44, 1, 60, 38, -61, -70, 97, 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\nDefine task_3_input = {\"result\": 50}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 16, -13, -26, 48, -86, 49, 74, -63, 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 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": "4582", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-46,60,-44,1,60,38,-61,-70,97,93]},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":4582}]"} {"id": "python/three_independent_target/36/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -24}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [53, 11, 88, -40, -72, 11, 51, -38, 95, -67].\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\nDefine task_3_input = {\"result\": 83}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 42, -53, -45, 44, -42, 71, -95, -59, -78].\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": "73", "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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-24},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":73}]"} {"id": "python/three_independent_target/36/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-48, 19, 41, 35, -33, 46, -62, -97, 90, 63]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-60, -11, 69, -44, -36, -60, -88, 87, -14, 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\nDefine task_3_input = {\"result\": 93}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 6, 37, 24, -65, 10, 87, 82, 67, 86].\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": "37107", "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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[73,-14,87,-88,-60,-36,-44,69,-11,-48,19,41,35,-33,46,-62,-97,90,63]},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":37107}]"} {"id": "python/three_independent_target/36/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -91}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": -68}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [71, -69, 83, -93, 20, 82, -85, -74, -44, -28].\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": "102", "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,-61,-90,-153]},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":102}]"} {"id": "python/three_independent_target/36/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [70, -43, -27, 26, 73, -91, -59, 28, -39, -17]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [52, 68, -21, -32, -62, 22, -90, 39, -36, 4].\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\nDefine task_3_input = {\"result\": -73}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-87, 39, 64, -55, 0, 28, 2, -16, -1, 3].\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": "103", "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\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":103}]"} {"id": "python/three_independent_target/36/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-36, -29, -78, 52, 29, -40, -57, -74, -7, -86]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-67, -7, 84, 1, -39, -55, -38, 93, 63, -47].\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\nDefine task_3_input = {\"result\": 22}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [83, 43, 54, 13, 95, 1, 92, -12, 80, 3].\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": "9944", "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\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":14},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":9944}]"} {"id": "python/three_independent_target/36/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [62, -11, 39, -15, 69, -92, -67, -34, -78, -90]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 66}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-10, 60, -23, -80, 39, -47, 49, -6, 99, -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 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": "2742", "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\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[4,1,3,1,10,1,2,5,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":2742}]"} {"id": "python/three_independent_target/36/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [42, -43, -7, 19, 37, 75, -81, 75, -91, 49]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -18}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-2, 33, -79, 31, -57, -77, 49, -43, -77, 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": "55", "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\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[42,-43,-7,19,37,75,-81,75,-91,49]},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":55}]"} {"id": "python/three_independent_target/36/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-78, -10, -89, 45, 89, 67, 68, -71, -60, -24]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-40, 2, 35, 77, 30, 99, -59, -58, -89, -8].\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\nDefine task_3_input = {\"result\": -96}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 78, -66, -30, -34, 39, 72, -49, -11, 27].\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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-89},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-8,-89,-58,-59,99,30,77,35,2,-40,-78,-10,45,89,67,68,-71,-60,-24]},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":144}]"} {"id": "python/three_independent_target/36/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-81, -26, 24, -37, 62, -75, -62, 43, 55, -56]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -4}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -68, -61, -40, 44, 88, 59, 44, 16, -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 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": "323", "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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-81,-26,-7,-6,-6,-62,-62,43,43,-56]},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":323}]"} {"id": "python/three_independent_target/36/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-77, -48, -93, -95, -23, -34, -50, -22, 4, 55]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -65}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-98, 23, -31, 8, 17, -62, -42, 83, -84, -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 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": "83", "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\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":83}]"} {"id": "python/three_independent_target/36/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [50, 93, -100, -82, 73, 61, -18, 25, -20, 63]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -2}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [8, 25, 20, 24, -12, -63, -69, -10, -6, 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": "172", "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\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[50,-20,0,-82,-18,61,73,25,93,63]},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":172}]"} {"id": "python/three_independent_target/36/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 9}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -72, 77, 90, 39, -74, 55, 62, -32, -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\nDefine task_3_input = {\"result\": 68}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-71, -19, 16, 12, 7, 27, -95, -11, 12, -57].\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": "62", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-51,-74,77,90,39,-72,55,62,-32,-97]},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":62}]"} {"id": "python/three_independent_target/36/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [77, 99, 49, -14, -65, 60, -100, -13, 48, 2]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -10}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-14, 83, 53, 50, -28, 13, -40, -50, -1, -57].\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": "195", "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\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,169,2304,4,3600,4225,196,2401,9801,5929]},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":195}]"} {"id": "python/three_independent_target/36/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 19}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -70.\nDefine task_2_energy_static = [36, 45, -89, -69, 100, 80, 93, -68, -25, 31].\nDefine task_2_experience_static = [-28, 34, 32, -62, -59, -24, 5, 52, 85, 37].\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\nDefine task_3_input = {\"result\": -78}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 70, -74, 100, 35, -24, 43, -82, 71].\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": "261", "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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":341},{\"node_id\":\"task_3\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":261}]"} {"id": "python/three_independent_target/37/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 88}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-46, -84, -58, 16, -59, 56, -18, 53, 27, 86]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 78.\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\":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\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":17},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/37/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-46, -61, -28, 19, -14, 66, -95, 5, 38, -77]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [3, 18, 6, 62, 84, 30, -34, -69, -28, 0]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -14.\nDefine task_3_capacityB_static = -96.\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": "7", "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\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":7391},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/37/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [76, -37, 25, 54, 73, 33, 24, 86, 47, 23]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-12, -11, 93, 96, -72, -85, 80, -65, 31, -49]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 85.\nDefine task_3_capacityB_static = -95.\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\":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\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/37/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -52}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -37, 91, 62, -84, 27, -34, -28, 38, 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\nDefine task_3_input = {\"result\": [99, -91, 36, 100, -13, -34, -75, -60, 81, -8]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -27.\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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,78,65]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-73,-37,91,62,-84,27,-34,-28,38,33]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/37/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 73}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -27, -80, -97, -10, -79, -51, 3, 16, -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\nDefine task_3_input = {\"result\": [-15, -63, -80, -28, 75, -91, 84, 78, -40, -68]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 32.\nDefine task_3_capacityB_static = -13.\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\":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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-97,-81,-80,-79,-58,-51,-27,-10,3,16]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/37/5", "category": "python", "topology": "three_independent_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\": [46, 56, 96, -65, 19, -14, 6, -31, -3, -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 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\nDefine task_2_input = {\"result\": -7}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 40, -55, 4, -5, 7, -8, -95, 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) -> 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\nDefine task_3_input = {\"result\": [-28, -22, -34, 21, -74, 70, -3, -74, -62, -77]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -81.\nDefine task_3_capacityB_static = -57.\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\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[9,961,36,196,361,4225,9216,3136,2116,2500]},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/37/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -39}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [86, -37, -9, 32, 67, 6, 51, -80, -65, 56].\nDefine task_2_passengers_static = [28, -93, 98, 84, -74, 59, 96, 22, 83, 78].\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\nDefine task_3_input = {\"result\": [-7, -61, 4, 100, -48, 33, -47, 55, 61, 49]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -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": "6", "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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":86},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/37/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 0}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-66, -23, 40, -85, 61, 22, 17, -71, -75, 43].\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\nDefine task_3_input = {\"result\": [26, -68, 9, -69, -28, -6, 73, 90, 50, -45]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -70.\nDefine task_3_capacityB_static = -3.\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\":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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":100},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/37/8", "category": "python", "topology": "three_independent_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\": [87, -92, -37, -96, -83, -7, 24, 29, -14, 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 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\nDefine task_2_input = {\"result\": 40}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-3, 39, 52, -30, -92, -16, 48, 0, -80, 0].\nDefine task_2_passengers_static = [21, 45, 79, -53, -6, -93, -62, 35, 100, -13].\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\nDefine task_3_input = {\"result\": [-15, 99, 23, 57, 0, 49, 17, 57, 57, 6]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -70.\nDefine task_3_capacityB_static = 61.\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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-92,-37,-96,-83,-7,24,29,42]},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":52},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/37/9", "category": "python", "topology": "three_independent_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\": 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_initialExperience_static = 79.\nDefine task_1_energy_static = [7, -74, 40, -21, -72, -99, 12, -13, -63, 55].\nDefine task_1_experience_static = [-46, -55, 18, -86, -67, -49, 33, 4, 53, -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\nDefine task_2_input = {\"result\": 92}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, 17, 3, 82, 82, -42, 25, 58, -71, -65].\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\nDefine task_3_input = {\"result\": [17, 35, -18, 55, -79, -44, -38, -14, -73, 59]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -21.\nDefine task_3_capacityB_static = 81.\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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":240},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":102},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/37/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 1}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 2.\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\nDefine task_3_input = {\"result\": [27, -37, -88, -20, 86, -89, -88, -3, -74, -31]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -59.\nDefine task_3_capacityB_static = 55.\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\":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,-16]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/37/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -90}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 35, 44, -50, 1, -9, -20, -87, -51, 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) -> 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\nDefine task_3_input = {\"result\": [-38, 43, -88, -58, -41, 16, -44, 53, -13, -9]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 10.\nDefine task_3_capacityB_static = -97.\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\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/37/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-27, 16, -95, 48, -29, -40, 53, -63, -32, 68]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [59, -79, -52, 96, 46, 73, 16, -72, -3, 46]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -59.\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": "7", "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\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/37/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -17}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 32, 31, 56, 59, 61, -53, 74, -99, -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\nDefine task_3_input = {\"result\": [-100, -83, 97, -38, 98, -51, -10, 74, 34, -29]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -32.\nDefine task_3_capacityB_static = -43.\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\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[42,32,31,56,59,61,-53,74,-99,-40]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/37/14", "category": "python", "topology": "three_independent_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\": [19, -3, -38, -87, 49, -33, 100, -33, 97, 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 (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\nDefine task_2_input = {\"result\": [-52, -62, 14, -39, 31, 44, -52, 11, -50, 66]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [61, 84, -91, 46, 52, 0, -69, -82, -51, -44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -90.\nDefine task_3_capacityB_static = -17.\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\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/37/15", "category": "python", "topology": "three_independent_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\": -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 = -59.\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\nDefine task_2_input = {\"result\": 63}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 15, -87, 57, 66, -66, 53, -95, -32, -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\nDefine task_3_input = {\"result\": [79, -9, 22, 47, -14, 56, -89, -10, -32, -82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 16.\nDefine task_3_capacityB_static = 12.\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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-58,-40,-100]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,-87,-66,-32,-22,15,53,57,65,66]},{\"node_id\":\"task_3\",\"native_task_id\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/38/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [25, -77, -7, 96, 64, 65, -75, -59, 77, -98]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 33}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-47, -13, 31, -17, 84, -78, 11, 66, 76, -72].\nDefine task_3_capacityB_static = -38.\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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[14,38,122,33,127,256,246,112,130,109]},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":4}]"} {"id": "python/three_independent_target/38/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -91}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-46, 16, 91, -46, -51, 1, 61, -18, 81, -78].\nDefine task_2_passengers_static = [36, 46, 15, -74, 91, -66, -76, -32, -42, 67].\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\nDefine task_3_input = {\"result\": -43}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-37, 41, -53, 63, 15, -79, -13, 74, -78, 26].\nDefine task_3_capacityB_static = 29.\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\":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\":5}]"} {"id": "python/three_independent_target/38/2", "category": "python", "topology": "three_independent_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\": [-90, 10, -90, -56, -99, -28, 32, -27, -70, -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 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\nDefine task_2_input = {\"result\": -3}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": 43}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-49, -82, -47, -94, 46, 85, -2, -86, -50, -4].\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\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-3},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":3}]"} {"id": "python/three_independent_target/38/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [13, -93, 79, -33, -6, 65, 61, -22, -42, 9]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-59, 55, -11, -83, 51, -60, 23, 42, -90, -88].\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\nDefine task_3_input = {\"result\": 39}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [37, 23, 73, -72, -54, 16, -70, -96, 81, -77].\nDefine task_3_capacityB_static = -44.\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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-88,-90,42,23,-60,51,-83,-11,55,-59,13,-93,79,-33,-6,65,61,-22,-42,9]},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":4}]"} {"id": "python/three_independent_target/38/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-20, -11, 95, -21, 93, 84, -70, -12, -68, -29]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 18}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [60, -79, -1, -9, -79, 7, -31, -46, 84, -76].\nDefine task_3_capacityB_static = -79.\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": "6", "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\":248},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":6}]"} {"id": "python/three_independent_target/38/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [43, 85, 52, 70, -8, -1, 43, -42, 9, 37]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 68}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-69, 52, -51, 16, 41, -65, -98, -37, 49, -91].\nDefine task_3_capacityB_static = -51.\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\":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\":2}]"} {"id": "python/three_independent_target/38/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [10, -62, -41, 14, 100, 42, -40, -22, -27, -50]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -31}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-36, 60, -87, -22, 46, 76, -4, -28, 37, -26].\nDefine task_3_capacityB_static = 15.\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\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":86},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[3,1,2,5,1,10,1,4,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":3}]"} {"id": "python/three_independent_target/38/7", "category": "python", "topology": "three_independent_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\": [27, 98, -61, -9, -69, -97, 73, -65, 19, -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_nums2_static = [-40, 100, 35, 15, -10, -49, -86, -54, 5, 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\nDefine task_2_input = {\"result\": -69}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": -28}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [66, 96, 24, 39, -3, 0, -63, -47, 10, 88].\nDefine task_3_capacityB_static = 27.\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": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":85},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-31,-68,-101]},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":7}]"} {"id": "python/three_independent_target/38/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [83, -33, -69, -53, 90, -43, -70, 4, -88, -21]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 9}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-84, 28, -4, 86, 72, 69, 68, 55, -22, 98].\nDefine task_3_capacityB_static = 63.\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": "6", "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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[283,333,231,109,146,193,80,14,70,179]},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":6}]"} {"id": "python/three_independent_target/38/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 52}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [73, -28, 28, 63, -23, 47, 38, -58, -3, 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 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\nDefine task_3_input = {\"result\": 43}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [54, -68, -11, 58, -8, -18, -86, 73, 98, 52].\nDefine task_3_capacityB_static = 19.\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\":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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":10092},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":4}]"} {"id": "python/three_independent_target/38/10", "category": "python", "topology": "three_independent_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\": 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 = [-43, -40, 61, 72, -9, -18, -92, 33, -61, 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) -> 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\nDefine task_2_input = {\"result\": 1}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": -45}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-28, -33, 81, -34, -24, 55, -13, 57, 41, -44].\nDefine task_3_capacityB_static = 12.\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": "6", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,31]},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":6}]"} {"id": "python/three_independent_target/38/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 93}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": 6}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [98, -89, -93, -30, -43, -49, -64, -76, 35, -93].\nDefine task_3_capacityB_static = 46.\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\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":253},{\"node_id\":\"task_2\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":19},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":2}]"} {"id": "python/three_independent_target/38/12", "category": "python", "topology": "three_independent_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\": -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_y_static = 56.\nDefine task_1_bound_static = 24.\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\nDefine task_2_input = {\"result\": [-96, -48, -28, -84, 44, -57, 23, 47, -96, -91]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, 62, 54, 79, 51, -96, -97, -43, 21, 95].\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\nDefine task_3_input = {\"result\": -98}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [59, -96, -69, 99, -36, -36, 17, 83, 5, 52].\nDefine task_3_capacityB_static = -5.\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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-97,-42]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[95,21,-43,-97,-96,51,79,54,62,-11,-48,-28,-84,44,-57,23,47,-91]},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":8}]"} {"id": "python/three_independent_target/38/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-1, -72, 99, 9, -58, -81, 24, 39, 31, 96]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 0}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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": "8", "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\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,5184,9801,81,3364,6561,576,1521,961,9216]},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":8}]"} {"id": "python/three_independent_target/38/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [14, -79, 15, -84, 43, -82, -49, 7, 72, 5]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 7}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [62, 32, -63, -19, 67, -97, 44, 16, 83, 32].\nDefine task_3_capacityB_static = 96.\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\":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\":10},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5}]"} {"id": "python/three_independent_target/38/15", "category": "python", "topology": "three_independent_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\": [-78, -91, -72, 79, 4, 47, -16, -23, 89, -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 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\nDefine task_2_input = {\"result\": [-83, -42, -48, -84, 7, 29, -48, 76, -96, -38]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 83}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-86, 62, -60, 28, 70, -12, -92, -68, -37, 83].\nDefine task_3_capacityB_static = -27.\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\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":644},{\"node_id\":\"task_2\",\"native_task_id\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":129},{\"node_id\":\"task_3\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":2}]"} {"id": "python/three_independent_target/39/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -76}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 49, -88, 58, 26, -26, 78, -69, 49, 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\nDefine task_3_input = {\"result\": [51, -71, 40, -18, 21, -56, 47, 32, -22, 94]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-44},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[50,49,-88,58,26,-26,78,-69,49,11]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/39/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-42, 30, -8, 36, 42, 40, 28, -29, -8, 72]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-85, -45, -93, -20, -18, -23, 48, -80, -83, -54]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/39/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 35}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -73, -75, -74, -69, -53, -25, -56, -74, 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\nDefine task_3_input = {\"result\": [-5, 27, -51, 61, 83, 40, 1, 52, -33, 52]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-75,-74,-74,-73,-69,-56,-53,-25,-16,51]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/39/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 34}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [6, 3, 57, -63, -38, -50, 63, 42, 32, -12]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-43,35,-10]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/39/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [61, 32, -80, -17, -40, -14, -55, -91, -42, -97]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -45.\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\nDefine task_3_input = {\"result\": [-18, -2, -52, -69, -52, 29, 42, 71, 80, 60]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-45},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/39/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -29}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [24, 76, 70, 24, 82, -67, 92, 8, -77, -1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":4},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,37,-28,7]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/39/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -82}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-42, 37, -1, -38, 61, -5, 98, 33, 40, 58]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-52,-34,-88]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,7,37,-81,-76,-46]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/39/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [28, -67, -43, 43, -38, -16, -45, 16, -19, -59]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-27, 94, -93, 80, 25, 13, -18, 77, -2, -35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":999999974},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[3,1,2,10,1,3,1,6,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/39/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -59}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 72, -19, -1, -14, -16, -58, -8, -50, 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\nDefine task_3_input = {\"result\": [-50, 56, 60, -7, -4, 70, -75, -100, 66, -92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-43,72,-19,-1,-14,-16,-58,-8,-50,89]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/39/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 56}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -73, -83, -52, -91, 28, -64, -21, 98, -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\nDefine task_3_input = {\"result\": [58, -65, -26, -76, 49, -24, -86, 5, -65, -38]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-91,-83,-77,-73,-64,-59,-52,-21,98,28]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/39/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 29}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -19, -57, -33, 79, -70, -62, -5, -6, 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 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\nDefine task_3_input = {\"result\": [45, -80, -71, 86, -71, 10, 63, 87, -22, 94]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[97,0,-24,-4,-44,-69,-80,71,-76,38]},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":79},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/39/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -61}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -76, 8, 4, -62, -42, 8, -27, 50, -15].\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\nDefine task_3_input = {\"result\": [-99, -89, -52, -81, 35, -17, 38, 59, -13, 20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-54,42,-99,9,-66,84,70,-53,-54,51]},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":50},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/39/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-91, -13, 23, 95, -74, -100, -98, -92, 16, -81]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, 65, -63, 33, -70, -64, 63, 0, -81, -65].\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\nDefine task_3_input = {\"result\": [-6, -72, 9, 4, 64, -45, 89, -29, -29, 3]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/39/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [92, 46, 54, 23, -20, 70, -54, 73, -88, -21]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [88, 49, 6, -3, 72, 78, -72, -99, -2, -79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[83,55,155,232,235,285,301,320,305,196]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/39/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [47, -18, -19, -58, -67, -90, -35, 51, -82, -73]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [17, -24, -10, -97, -60, 34, -63, 34, 2, -79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-5},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[391,420,383,306,181,24,101,85,116,271]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/39/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 47}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [5, -14, 18, 37, -91, 94, -85, -69, -81, 14]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-26,48,20]},{\"node_id\":\"task_3\",\"native_task_id\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/40/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -80}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -5, 72, -51, 60, -66, 59, 95, -32, -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\nDefine task_3_input = {\"result\": [-21, 91, -98, 95, 11, 39, 96, 15, -3, 21]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -97, -45, -55, -29, 19, -89, -33, 70, 98].\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\":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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[47,-5,72,-51,60,-66,59,95,-32,-93]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":27}]"} {"id": "python/three_independent_target/40/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [95, 38, -45, -58, -91, -84, -50, -31, -97, -34]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [9, 67, -37, -59, -88, 17, -8, 62, -69, 54].\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\nDefine task_3_input = {\"result\": [-59, -94, -57, 56, 15, 41, 72, -61, -15, -41]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -1, 17, 63, 27, -1, 82, 40, -89, -92].\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": "15", "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\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,101,103,-82,-117,-179,-67,-59,29,-167,18]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":15}]"} {"id": "python/three_independent_target/40/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-13, 52, 20, 34, -98, -92, -31, 74, 60, -57]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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_passengers_static = [-75, 95, -27, 44, 79, -17, -68, 64, -77, 26].\nDefine task_2_capacity_static = 72.\nTrace the execution of task_2 with inputs passengers = task_2_passengers_static, capacity = task_2_capacity_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], passengers: List[int], capacity: int) -> int:\n list_2.sort()\n passengers.sort()\n j = 0\n for t in list_2:\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_2[-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\nDefine task_3_input = {\"result\": [89, -32, -2, -62, 3, 15, -21, -75, -17, 66]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [14, 87, 61, -22, -37, -33, 92, 52, -95, 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": "15", "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\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":74},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":15}]"} {"id": "python/three_independent_target/40/3", "category": "python", "topology": "three_independent_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\": 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_buses_static = [4, -82, 92, 6, -46, -42, 26, 82, -58, -77].\nDefine task_1_passengers_static = [27, 71, -72, -38, -24, -41, -11, -41, 80, -97].\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\nDefine task_2_input = {\"result\": [-5, 73, -35, 86, -52, -51, 57, -51, -66, 69]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-29, 51, 35, -1, 51, 0, -41, 29, -55, 33]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [83, -19, -10, 64, 15, 4, -66, -81, -77, 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 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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":92},{\"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\":25}]"} {"id": "python/three_independent_target/40/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [23, 72, 2, 52, 16, 81, 79, -60, -5, 41]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [14, -45, -40, 25, 73, 71, 29, 100, 35, 66]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [95, -78, 6, -6, -12, -79, 90, -4, -45, 60].\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\":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\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[81,79,16,16,2,2,2,0,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":29}]"} {"id": "python/three_independent_target/40/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [10, 21, 89, 94, 65, -73, -46, -58, 77, -57]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -20.\nDefine task_2_initialExperience_static = -46.\nDefine task_2_experience_static = [66, 97, -90, -59, -100, 94, 32, 11, -8, 79].\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\nDefine task_3_input = {\"result\": [-12, 97, -39, -61, -78, 6, 100, -98, 16, 95]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -77, 86, 15, 65, 39, -42, -75, 14, 18].\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": "20", "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\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":370},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":20}]"} {"id": "python/three_independent_target/40/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -84}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -67, 9, 69, 51, -11, -99, 80, 39, 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\nDefine task_3_input = {\"result\": [34, -39, 27, -34, -11, -3, -15, -84, 37, 62]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 89, -22, 24, -24, 9, -58, 47, -59, -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 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": "23", "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\":[-90,-67,9,69,51,-11,-99,80,39,68]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":23}]"} {"id": "python/three_independent_target/40/7", "category": "python", "topology": "three_independent_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\": -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_arr_static = [-59, 66, -77, -63, -5, -1, -76, 91, -83, -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\nDefine task_2_input = {\"result\": 17}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-16, 6, 6, 60, -75, 36, -12, 83, -14, 62]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-34, 100, 7, 62, -63, -74, -65, 46, 78, 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 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": "24", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-54},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-4,26,-124,18,12]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":24}]"} {"id": "python/three_independent_target/40/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -21}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-33, -16, 33, -85, 8, -42, -22, -57, 66, -26]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 55, 25, -50, -67, 34, -10, -1, 91, -20].\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": "14", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-20,69]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":14}]"} {"id": "python/three_independent_target/40/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [81, -21, 41, 0, -91, 0, -73, 33, -7, -4]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-91, 28, 50, 12, 94, 5, -1, 91, 17, -31].\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\nDefine task_3_input = {\"result\": [47, -59, 81, -35, 94, 66, -84, 67, -82, -32]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 33, 49, -11, 38, -92, 8, 41, 75, 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 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": "18", "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\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":18}]"} {"id": "python/three_independent_target/40/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -28}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 94, -6, -11, -60, -1, -44, 76, -50, 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\nDefine task_3_input = {\"result\": [-45, 83, 23, -57, 23, -7, 84, 94, 86, 21]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [45, -42, 57, 19, 71, -56, 12, -4, -28, -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 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\":[-92,-82,-56,-56,1,33,53,64,66,93]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-84,94,-6,-11,-60,-1,-44,76,-50,74]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":35}]"} {"id": "python/three_independent_target/40/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [11, -85, 89, 10, 94, -14, -60, 46, -25, 65]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-88, -16, -49, 48, 71, 95, 1, -54, -22, -50]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -74, -36, 93, -84, -51, 47, 68, 35, -60].\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": "23", "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\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":23}]"} {"id": "python/three_independent_target/40/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 70}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [0, -11, -32, -18, 92, 26, -77, 88, 37, -71]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [7, -14, -20, 73, 68, 34, 17, -4, 5, 100].\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": "16", "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\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":16}]"} {"id": "python/three_independent_target/40/13", "category": "python", "topology": "three_independent_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\": -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 = -18.\nDefine task_1_bound_static = 8.\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\nDefine task_2_input = {\"result\": -78}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -75.\nDefine task_2_bound_static = 12.\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\nDefine task_3_input = {\"result\": [77, -21, 6, 70, 93, -68, 18, 81, -20, 20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -81, -84, -4, -68, 86, -64, -36, 30, -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 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": "37", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-17,-80,-99]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-74,-77,-153]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":37}]"} {"id": "python/three_independent_target/40/14", "category": "python", "topology": "three_independent_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\": [-5, -25, -77, 10, 69, 8, -3, 59, 86, 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 (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\nDefine task_2_input = {\"result\": [43, -72, 32, 9, -94, 80, 16, 98, -12, 14]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [35, 85, 20, 89, 15, 83, 22, -69, -1, 84]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -5, -84, 44, 79, -36, 92, 54, -64, -99].\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": "30", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-77},{\"node_id\":\"task_2\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":30}]"} {"id": "python/three_independent_target/40/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [75, -80, 81, 87, 92, 26, 48, 52, -1, -49]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [100, -85, 36, 24, 39, 49, -40, -32, -4, 39]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 45, 18, 58, 93, -50, -78, -67, -61, 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 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\":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\":[52,-80,48,26,92,87,81,75,-1,-49]},{\"node_id\":\"task_3\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":29}]"} {"id": "python/three_independent_target/41/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -9}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [22, 90, 92, -56, 31, 31, -28, 66, -77, -82].\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\nDefine task_3_input = {\"result\": [-88, 81, -21, 19, 6, 16, -17, 94, 27, 4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "30", "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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":30}]"} {"id": "python/three_independent_target/41/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-4, 44, -48, -96, 84, 56, -57, -92, -6, 39]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-18, 82, -98, -78, 10, -44, -71, 95, -69, -43].\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\nDefine task_3_input = {\"result\": [-98, 12, -3, -50, 33, 57, -95, -67, 71, -30]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "27", "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\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":27}]"} {"id": "python/three_independent_target/41/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-37, 61, 92, -8, 99, 30, 7, -37, -39, -35]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [59, -34, 11, -79, 86, 66, 38, 83, 85, 42]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":21}]"} {"id": "python/three_independent_target/41/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [59, -21, -94, 59, -14, 58, -86, 51, 56, -68]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 (l, r) = (0, len(list_2) - 1)\n ans = 0\n while l < r:\n t = min(list_2[l], list_2[r]) * (r - l)\n ans = max(ans, t)\n if list_2[l] < list_2[r]:\n l += 1\n else:\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\nDefine task_3_input = {\"result\": [8, -77, -64, -49, 2, -86, -58, 30, -85, 18]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":448},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":22}]"} {"id": "python/three_independent_target/41/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 10}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -56, -17, -47, -2, -55, 26, 37, -73, -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\nDefine task_3_input = {\"result\": [-86, -81, 28, 83, 1, -71, -89, -44, 65, -83]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "24", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-77,-56,-17,-55,-2,-47,26,37,-73,-34]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":24}]"} {"id": "python/three_independent_target/41/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [90, -6, 9, 39, -23, 57, 88, 35, -34, 23]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-86, -58, 2, -16, -85, 87, -83, 40, -99, 28]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "24", "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\":[188,104,101,53,37,3,142,265,266,255]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":24}]"} {"id": "python/three_independent_target/41/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [45, -73, 80, -29, 86, 63, -5, -3, 84, 98]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [81, 59, 47, 57, 34, -75, 11, 27, -55, 14]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":15,\"native_task_name\":\"candy:list\",\"output_value\":18},{\"node_id\":\"task_2\",\"native_task_id\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":17}]"} {"id": "python/three_independent_target/41/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 7}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 75.\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\nDefine task_3_input = {\"result\": [-38, 74, 76, -7, 83, -55, -49, -17, 22, -94]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,76,8,50]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":22}]"} {"id": "python/three_independent_target/41/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [26, -88, -76, 34, -63, -56, 93, -20, -82, -86]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-68, -14, 65, 84, -16, 63, 76, 83, 37, -71]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-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\":[344,282,118,76,47,72,35,38,64,232]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":28}]"} {"id": "python/three_independent_target/41/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -68}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [42, 50, -70, 62, 82, 87, 36, 11, 44, -25].\nDefine task_2_passengers_static = [-31, -93, -80, 34, -79, 72, 96, -66, 4, 61].\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\nDefine task_3_input = {\"result\": [31, 89, -61, 43, -1, -53, 76, 56, -32, -14]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-91,-93,10,90]},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":87},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":23}]"} {"id": "python/three_independent_target/41/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -61}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [46, 61, -71, -88, -69, -47, -2, -54, 29, 5].\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\nDefine task_3_input = {\"result\": [83, 38, 41, 35, 83, -15, -2, -53, -55, 26]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "14", "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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":14}]"} {"id": "python/three_independent_target/41/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [66, 80, -98, -30, 10, 51, -67, 71, -90, -42]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-72, 5, 68, 32, 77, 43, 90, 77, 43, -45]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "34", "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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[66,66,-30,-30,10,10,2,2,-42,-42]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":34}]"} {"id": "python/three_independent_target/41/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 32}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -79, 79, -32, 96, -83, -77, 67, -20, 35].\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\nDefine task_3_input = {\"result\": [-32, 96, -25, -20, 4, -97, -21, -6, -4, 10]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "27", "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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":143},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":27}]"} {"id": "python/three_independent_target/41/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -19}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 82, 77, 38, 14, 59, 85, -87, 33, -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\nDefine task_3_input = {\"result\": [-33, -98, 13, 99, -23, -71, -71, 3, -93, -100]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":114},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-68,82,77,38,14,59,85,-87,33,-35]},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":23}]"} {"id": "python/three_independent_target/41/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [31, 0, -33, 87, 70, -58, 100, -32, 57, 63]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, 30, -44, -99, -27, -65, -33, -41, -85, 27].\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\nDefine task_3_input = {\"result\": [84, 1, -8, 20, 52, 27, -49, 12, -91, 27]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":17}]"} {"id": "python/three_independent_target/41/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -69}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-90, 47, -90, 56, 6, -52, -52, -73, -66, 44].\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\nDefine task_3_input = {\"result\": [74, 75, -45, 71, 56, 58, 81, 30, -97, 61]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "20", "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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":56},{\"node_id\":\"task_3\",\"native_task_id\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":20}]"} {"id": "python/three_independent_target/42/0", "category": "python", "topology": "three_independent_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\": [69, -48, -4, 9, -86, 3, -13, 73, 32, -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_arr2_static = [62, -35, -81, 64, 85, -6, -4, -53, 80, -45].\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\nDefine task_2_input = {\"result\": [70, 41, 10, -15, -27, -96, 61, -20, -81, 58]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [83, -87, -88, 7, 83, -89, -38, 96, 37, 26]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -45.\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\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,129,-83,-86,72,1,-3,-18,17,110,-75]},{\"node_id\":\"task_2\",\"native_task_id\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":82},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":34}]"} {"id": "python/three_independent_target/42/1", "category": "python", "topology": "three_independent_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\": -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 = [-8, -50, 37, -43, -89, -96, -84, 77, -36, -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\nDefine task_2_input = {\"result\": [-53, -19, -11, -85, -26, 49, 11, 2, -79, 33]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [82, 60, 54, -75, -3, 66, 21, 12, -37, 78]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-8,-50,37,-43,-89,-96,-84,77,-36,-9]},{\"node_id\":\"task_2\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/42/2", "category": "python", "topology": "three_independent_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\": 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_buses_static = [4, 11, 95, -19, 6, -23, 65, 96, -75, -38].\nDefine task_1_passengers_static = [55, 27, -38, 43, 94, -62, 77, 54, 22, -50].\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\nDefine task_2_input = {\"result\": -98}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-93, -44, -98, -77, 90, 35, 84, 0, 32, -8].\nDefine task_2_runningCost_static = 76.\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\nDefine task_3_input = {\"result\": [24, 81, 96, 51, -8, 2, 57, -80, 52, 25]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -46.\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": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":96},{\"node_id\":\"task_2\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/42/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -52}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 92, -41, -52, -40, -76, 92, -97, -27, -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\nDefine task_3_input = {\"result\": [-65, -44, 98, 78, -65, -69, -57, 70, -53, -51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -62.\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": "37", "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\":[-29,92,-41,-52,-40,-76,92,-97,-27,-100]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":37}]"} {"id": "python/three_independent_target/42/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-97, -88, -6, 50, 50, 58, -66, -54, 13, 89]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, -69, -49, 76, 7, 40, 52, -23, 30, -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]) -> 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\nDefine task_3_input = {\"result\": [-9, -75, -50, -95, -85, -93, 12, -57, 54, -83]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 29.\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": "119", "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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-21,30,-23,52,40,7,76,-49,-69,-93,-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\":119}]"} {"id": "python/three_independent_target/42/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -18}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-30, -79, -92, 24, 14, -87, -95, 69, 94, -10]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -9.\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": "80", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-17]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":80}]"} {"id": "python/three_independent_target/42/6", "category": "python", "topology": "three_independent_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\": [-92, -99, 53, 24, 69, -55, -94, -8, 36, 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 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\nDefine task_2_input = {\"result\": 64}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -17, 40, -36, 7, 82, -2, -18, 36, 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) -> 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\nDefine task_3_input = {\"result\": [80, 74, -60, 95, 23, 57, 6, -30, -56, 93]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 57.\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": "46", "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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":97},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":46}]"} {"id": "python/three_independent_target/42/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [32, -73, 25, -27, -24, -26, 65, -98, 19, 45]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -97.\nDefine task_2_experience_static = [-18, -16, 65, -24, 83, 65, -64, -48, 98, 51].\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\nDefine task_3_input = {\"result\": [9, 90, -16, 57, -98, 72, 10, 33, 77, -85]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 0.\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": "39", "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\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":197},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":39}]"} {"id": "python/three_independent_target/42/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 33}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -13, 49, 51, -98, 35, 50, -37, -18, 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) -> 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\nDefine task_3_input = {\"result\": [-30, 16, 32, 15, -83, 84, 3, 70, -84, -16]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -71.\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": "24", "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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":24}]"} {"id": "python/three_independent_target/42/9", "category": "python", "topology": "three_independent_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\": -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_plants_static = [-18, 75, 32, 27, 21, -33, -79, -90, -42, -51].\nDefine task_1_capacityB_static = 27.\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\nDefine task_2_input = {\"result\": 89}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -14, 67, -94, 94, -79, 79, -99, -34, -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\nDefine task_3_input = {\"result\": [52, -98, 55, -83, 92, 1, 53, 53, 66, -73]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -73.\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": "21", "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\":99},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":21}]"} {"id": "python/three_independent_target/42/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [39, 81, 99, 3, 23, 8, -3, -94, -53, -45]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-88, 61, 30, 97, 2, -56, -22, 13, -27, -82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 19.\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": "82", "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\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":82}]"} {"id": "python/three_independent_target/42/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [44, -95, 84, -37, 26, 7, -67, 91, -15, -85]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [59, -2, 26, -39, -41, -14, -52, 16, 36, 6]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -96.\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": "3", "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\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/42/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-90, 17, -53, 10, 14, -79, -75, 67, 67, 24]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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_passengers_static = [-77, 10, 90, 21, -72, -39, -99, 79, 19, -42].\nDefine task_2_capacity_static = 39.\nTrace the execution of task_2 with inputs passengers = task_2_passengers_static, capacity = task_2_capacity_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], passengers: List[int], capacity: int) -> int:\n list_2.sort()\n passengers.sort()\n j = 0\n for t in list_2:\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_2[-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\nDefine task_3_input = {\"result\": [88, -29, -3, 58, -60, 95, 5, -26, -24, 62]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 38.\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": "55", "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\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":67},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":55}]"} {"id": "python/three_independent_target/42/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [82, 33, -13, 69, 19, 26, 41, 30, 52, -32]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 50.\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\nDefine task_3_input = {\"result\": [-11, -31, -4, -34, 64, 7, 40, -35, 65, -35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -73.\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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":61},{\"node_id\":\"task_2\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":26},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":11}]"} {"id": "python/three_independent_target/42/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-25, 17, 45, 27, -28, 9, 45, -68, 87, 47]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [39, 90, -96, -17, -45, 94, 31, -6, 16, 27]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -76.\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\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-330},{\"node_id\":\"task_2\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":18},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":11}]"} {"id": "python/three_independent_target/42/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -23}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [5, -13, -49, 84, 19, -82, 53, 45, 91, -74].\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\nDefine task_3_input = {\"result\": [9, -37, -77, -84, -19, 91, -29, 74, -72, 3]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 59.\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": "104", "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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":289},{\"node_id\":\"task_3\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":104}]"} {"id": "python/three_independent_target/43/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [39, 63, 46, 43, 96, -18, -55, 86, 54, 74]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 26}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [44, -17, -87, -36, -70, -18, -98, -7, 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": "92", "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\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":11},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":92}]"} {"id": "python/three_independent_target/43/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -44}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 86, -99, -94, 47, -52, 86, -27, -53, -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) -> 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\nDefine task_3_input = {\"result\": 22}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 55, 13, -3, 82, -25, 51, 79, 27, 51].\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": "32", "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\":5},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":32}]"} {"id": "python/three_independent_target/43/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-59, 79, -48, 57, 26, 47, 26, 88, -28, -67]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 77}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 82, 18, 36, 55, 19, 22, -71, 16, 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 (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\":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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":62}]"} {"id": "python/three_independent_target/43/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [24, -21, -75, -74, -37, 61, 67, -41, -83, 88]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 51}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-76, -30, -1, -36, -64, -76, -2, 60, -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 (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": "117", "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\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[5,4,1,1,1,1,3,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":117}]"} {"id": "python/three_independent_target/43/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 45}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": 59}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 76, -30, 88, 79, 31, -85, 26, 87, 31].\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": "29", "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\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":19},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":29}]"} {"id": "python/three_independent_target/43/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 9}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -14, 75, -97, 6, -93, -15, -81, 97, -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\nDefine task_3_input = {\"result\": -88}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -84, 33, -45, 96, -83, -36, -47, 61, 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 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": "23", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-68,-15,75,-97,6,-93,-14,-81,97,-31]},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":23}]"} {"id": "python/three_independent_target/43/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [49, 12, 86, 60, 14, -78, 90, -14, -1, -5]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-45, -53, -38, -79, 98, -63, 30, -93, 25, -8].\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\nDefine task_3_input = {\"result\": -92}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 39, -62, 81, -45, -65, 93, -56, -100, 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 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": "25", "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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-8,25,-93,30,-63,98,-79,-38,-53,-45,49,12,86,60,14,-78,90,-14,-1,-5]},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":25}]"} {"id": "python/three_independent_target/43/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-35, -87, 26, -52, 42, 54, -93, 31, 79, 40]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -37}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [83, -24, 83, 17, 82, -91, 92, -75, 65, 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 (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": "15", "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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[40,162,223,249,259,163,202,264,154,35]},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":15}]"} {"id": "python/three_independent_target/43/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [20, -4, 22, -31, 67, 96, 23, 1, 20, -3]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -60}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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": "44", "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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[20,9,9,9,67,67,23,11,10,-3]},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":44}]"} {"id": "python/three_independent_target/43/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-38, 0, 21, 55, 61, 48, 85, 13, -76, 21]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, 9, -50, -21, 42, -97, 67, -43, 90, 57].\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\nDefine task_3_input = {\"result\": 37}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-57, -48, 59, -52, -74, 16, -50, -3, -55, 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) -> 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": "117", "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\":8},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":117}]"} {"id": "python/three_independent_target/43/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 63}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 71, -49, 0, -5, 64, 76, 37, 98, -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) -> 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\nDefine task_3_input = {\"result\": -47}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 54, -87, 15, 44, 20, 79, -21, -10, -32].\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": "41", "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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":67},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":41}]"} {"id": "python/three_independent_target/43/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [60, -24, -90, -2, -34, 68, -61, 94, 19, -15]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -63}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -36, -62, -61, -97, 50, -68, -81, -55, -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 (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": "100", "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\":1439},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":100}]"} {"id": "python/three_independent_target/43/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -98}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": 59}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-83, -41, -11, -75, 5, -61, -52, -29, 55, -70].\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": "120", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-36,-97,-135]},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":120}]"} {"id": "python/three_independent_target/43/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 61}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [50, 16, 42, -87, 39, 33, 4, 20, 15, -100].\nDefine task_2_passengers_static = [29, 71, 34, 8, 31, 79, 48, 90, -40, -2].\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\nDefine task_3_input = {\"result\": 59}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 28, -73, -78, -56, -4, -8, 55, 68, 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 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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-47,-10,-96,-67,14,22,96]},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":50},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":95}]"} {"id": "python/three_independent_target/43/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-85, 10, 7, -81, -47, -95, -7, 49, 49, 91]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-100, -93, 93, -39, -63, -35, -95, 21, -55, -44].\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\nDefine task_3_input = {\"result\": 34}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [43, -89, 41, -17, 64, 69, -12, 4, 64, 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 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": "42", "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\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":42}]"} {"id": "python/three_independent_target/43/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 91}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 73, 69, -61, -44, -7, -13, 28, -36, 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\nDefine task_3_input = {\"result\": 8}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 96, 89, 92, -70, -63, -39, -31, 23, -71].\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": "56", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-61,-44,-36,-13,-7,28,68,69,73,79]},{\"node_id\":\"task_3\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":56}]"} {"id": "python/three_independent_target/44/0", "category": "python", "topology": "three_independent_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\": 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 = [19, 97, -99, -85, -52, -36, -49, 49, -77, 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 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\nDefine task_2_input = {\"result\": [56, -73, 23, 67, 50, -93, -78, 45, 22, -36]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-86, -55, 25, -100, 69, -95, 89, -60, -37, 99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,2,4,1,6,1,9,1,2,10]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":171},{\"node_id\":\"task_2\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,4,1,6,1,9,1,2,10]}]"} {"id": "python/three_independent_target/44/1", "category": "python", "topology": "three_independent_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\": 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 = [-83, 62, -61, -43, -89, 86, 93, 88, 96, -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\nDefine task_2_input = {\"result\": -59}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-56, 19, 26, 89, 60, -55, -92, -65, 67, -89]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,2,3,10,4,3,1,2,6,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-89,62,-83,-81,-61,86,88,93,96,-43]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-29,-58,-89]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,3,10,4,3,1,2,6,1]}]"} {"id": "python/three_independent_target/44/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [21, -82, 24, -86, -27, 27, -16, 70, -27, 19]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [36, -38, -72, 70, 51, 90, -91, 56, -73, 5]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[3,2,1,5,1,10,1,4,1,2]", "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\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[3,2,1,5,1,10,1,4,1,2]}]"} {"id": "python/three_independent_target/44/3", "category": "python", "topology": "three_independent_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\": [87, -25, -5, -88, -45, 17, -9, -88, 91, -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 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\nDefine task_2_input = {\"result\": -92}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -75.\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\nDefine task_3_input = {\"result\": [63, -98, -80, 47, 75, 65, -45, 7, 24, 93]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[4,1,2,3,9,4,1,2,3,10]", "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,-74,-91,-167]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[4,1,2,3,9,4,1,2,3,10]}]"} {"id": "python/three_independent_target/44/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [49, -53, 90, 28, 8, 36, -25, -88, -16, 43]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-40, 20, -60, -43, -60, -62, 51, -12, -61, -90].\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\nDefine task_3_input = {\"result\": [-24, 46, 57, -18, 10, -37, -44, 16, -19, -10]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,2,10,1,4,2,1,7,1,2]", "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\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,10,1,4,2,1,7,1,2]}]"} {"id": "python/three_independent_target/44/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [8, 61, -3, 61, -24, 85, -74, 25, -83, 12]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [98, 46, 63, 7, 9, -4, 42, 99, 75, 82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[7,1,6,1,3,1,4,10,1,2]", "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\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-7,-6,-4,-3,-1,1,3,5,7,9]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[7,1,6,1,3,1,4,10,1,2]}]"} {"id": "python/three_independent_target/44/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -54}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-81, 37, -45, -80, -67, -49, -82, -68, -55, -72]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,10,8,1,2,7,1,2,4,1]", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-33,-53,-88]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,10,8,1,2,7,1,2,4,1]}]"} {"id": "python/three_independent_target/44/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -89}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [92, -19, 53, -91, 56, 29, -68, -83, -3, 37].\nDefine task_2_capacityB_static = 82.\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\nDefine task_3_input = {\"result\": [-58, 8, -38, 81, -38, -81, -17, 86, -40, 4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,3,1,7,2,1,3,10,1,2]", "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\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,3,1,7,2,1,3,10,1,2]}]"} {"id": "python/three_independent_target/44/8", "category": "python", "topology": "three_independent_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\": 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 = [-98, 52, 26, -17, 61, 64, -24, 4, 18, 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\nDefine task_2_input = {\"result\": 43}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-20, 52, -97, 4, -91, 90, -65, 36, -17, -82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,5,1,3,1,10,1,4,2,1]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":64},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-52]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,5,1,3,1,10,1,4,2,1]}]"} {"id": "python/three_independent_target/44/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-7, 95, -17, 61, 1, 82, 69, 99, 65, -2]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-88, -47, 84, -1, 25, 58, -17, 97, -39, -52]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,2,7,1,2,4,1,10,2,1]", "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\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,2,7,1,2,4,1,10,2,1]}]"} {"id": "python/three_independent_target/44/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 36}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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\nDefine task_3_input = {\"result\": [-12, 78, -77, 41, -91, -59, 39, -19, -22, -67]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,10,1,8,1,2,6,3,2,1]", "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,-38,37,-3]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,10,1,8,1,2,6,3,2,1]}]"} {"id": "python/three_independent_target/44/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [54, -41, 77, 69, 91, -55, -51, 72, -28, -63]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [82, 32, 21, -30, -40, -39, 24, 81, 7, 5]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[10,6,4,3,1,2,5,9,2,1]", "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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[54,77,69,91,72]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[10,6,4,3,1,2,5,9,2,1]}]"} {"id": "python/three_independent_target/44/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-7, 70, -89, -27, -7, 11, 25, 10, -87, -71]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-6, 81, 37, -12, 14, 16, -30, 57, -53, -64]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,10,5,1,2,4,1,8,2,1]", "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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-7,-89,-27,-7,-87,-71]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,10,5,1,2,4,1,8,2,1]}]"} {"id": "python/three_independent_target/44/13", "category": "python", "topology": "three_independent_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\": [50, -74, 20, -28, -37, -94, 66, -82, -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.\nDefine task_1_k_static = -97.\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\nDefine task_2_input = {\"result\": [-19, -61, 99, 34, -65, 50, -22, 92, -98, 54]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [21, 15, -43, 28, -31, -83, -62, 62, -34, -1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[3,2,1,7,3,1,2,10,1,2]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":222},{\"node_id\":\"task_2\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999996833},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[3,2,1,7,3,1,2,10,1,2]}]"} {"id": "python/three_independent_target/44/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [34, 55, 72, -73, 83, -76, 89, -76, -78, -41]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [16, -92, -61, -63, 71, -15, 73, -94, -49, -34]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[4,1,3,1,6,1,10,1,2,3]", "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\":[34,55,55,5,5,5,5,-76,-76,-41]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[4,1,3,1,6,1,10,1,2,3]}]"} {"id": "python/three_independent_target/44/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -45}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [0, 67, -44, 98, -13, -96, -9, 91, 28, -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\nDefine task_3_input = {\"result\": [47, 69, 64, 31, -77, -71, 45, 62, 70, 73]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,8,6,3,1,2,4,5,9,10]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[0,67,-44,98,-13,-96,-9,91,28,-84]},{\"node_id\":\"task_3\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,8,6,3,1,2,4,5,9,10]}]"} {"id": "python/three_independent_target/45/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -39}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [93, 80, -53, -86, 50, 61, 17, 30, -96, 32].\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\nDefine task_3_input = {\"result\": [-91, 87, -50, 82, -26, 55, 75, -66, -8, -15]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -61, 2, 1, 41, 26, -87, -27, 9, 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 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": "43", "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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":320},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":43}]"} {"id": "python/three_independent_target/45/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-11, -44, 9, -48, -37, 9, 19, 54, 59, 48]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [42, 30, -42, -77, -97, 50, 43, 63, -14, 23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [82, -4, -77, -53, -97, 67, -48, 98, -79, -38].\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": "21", "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\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":21}]"} {"id": "python/three_independent_target/45/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [15, 59, -51, -39, -18, 31, -46, 65, 76, 52]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-23, 72, 24, 77, 70, 61, 51, -74, -61, -34]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [61, -48, 26, -68, -42, 69, -89, 14, -55, 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": "163", "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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[15,59,65,76,52]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":163}]"} {"id": "python/three_independent_target/45/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 17}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -69, 73, -97, 57, -41, 85, 69, -4, 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\nDefine task_3_input = {\"result\": [56, 92, 73, -83, 90, 15, -91, 81, -100, 16]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [48, 41, -72, 60, -69, -36, 84, 10, -30, 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 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": "249", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-97,-69,49,-96,57,-41,69,73,-4,85]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":249}]"} {"id": "python/three_independent_target/45/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-22, -41, 24, 27, -47, -23, 1, -6, 62, -47]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-86, -91, -26, 75, -11, 68, 12, -47, 98, -60]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -76, 42, -48, 49, 18, 25, -92, -34, -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": "999999939", "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\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":85},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":999999939}]"} {"id": "python/three_independent_target/45/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [52, -97, 19, -39, 60, -7, -43, 63, 70, -94]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [46, 36, 90, -51, -10, -67, -95, -1, -93, -12]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [82, 41, 80, -85, -10, 26, 84, -41, -13, 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 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": "213", "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\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":213}]"} {"id": "python/three_independent_target/45/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -13}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -77, -51, 26, -65, 47, 50, 77, -6, -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\nDefine task_3_input = {\"result\": [84, -35, -20, 73, -2, -19, 58, -42, 62, 66]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [49, -37, 32, 68, 12, 98, 59, 82, 36, -89].\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": "310", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[61,-77,-51,26,-65,47,50,77,-6,-43]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":310}]"} {"id": "python/three_independent_target/45/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [72, 89, 72, 67, -40, -94, 82, -9, 36, -55]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [97, 75, -80, -30, -66, -6, -94, -83, -42, -47]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [56, 26, -5, -85, 3, 99, 86, -74, 49, -87].\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": "68", "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\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,2,2,2,2,1,2,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":68}]"} {"id": "python/three_independent_target/45/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [96, 56, -87, -14, 74, 35, 78, 49, -82, -74]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-46, 45, -71, 41, -59, -32, 67, -38, 93, 42]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -30, -27, 84, 43, -62, 21, -9, -43, -56].\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": "42", "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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[96,56,-14,-14,54,55,55,49,-74,-74]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":42}]"} {"id": "python/three_independent_target/45/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [81, 48, -11, 85, -9, -64, -65, 98, 16, -84]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [39, 20, -51, 83, -81, 5, 6, -9, -80, -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\nDefine task_3_input = {\"result\": [-51, -31, -84, 92, -22, 29, 56, -60, -36, -75]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-24, -39, 37, 27, 40, -83, -1, -15, 90, -45].\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": "999999994", "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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-78,-80,-9,6,5,-81,83,-51,20,39,81,48,-11,85,-64,-65,98,16,-84]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":999999994}]"} {"id": "python/three_independent_target/45/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -52}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [42, 5, 38, -84, -91, -15, 37, -96, -9, 38]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 65, 66, 40, -41, 63, -66, -41, 35, 92].\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": "183", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-51]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":183}]"} {"id": "python/three_independent_target/45/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-69, -87, 88, -55, 2, 22, -99, 55, 3, 86]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [68, 9, -2, -21, -72, 69, -90, 31, -18, -79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [61, -68, -69, 79, -49, 41, -24, -30, -40, -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": "999999907", "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\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,0,1,1,2,1,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":999999907}]"} {"id": "python/three_independent_target/45/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 22}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-85, -5, -13, 87, -29, -63, 58, -62, -75, 78]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -84, 0, 42, 67, 4, 3, 34, 12, 44].\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": "163", "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\":[2,38,23,59]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":163}]"} {"id": "python/three_independent_target/45/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-88, 71, -49, 6, -83, -7, -79, 11, -81, -1]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-80, -53, 13, 52, -92, 86, 16, -22, -98, 64]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [59, -91, -74, -87, -40, -10, 69, 30, 32, -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 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": "999999893", "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\":[-88,6,-49,71,-83,-7,-79,11,-81,-1]},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":999999893}]"} {"id": "python/three_independent_target/45/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [80, -41, 82, 87, -27, -14, -31, -74, -54, -39]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 69.\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\nDefine task_3_input = {\"result\": [22, -78, -92, -17, 57, -54, 28, 57, 39, -91]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-56, -21, -96, 69, -88, -55, -39, -49, -100, -34].\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": "999999878", "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\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":87},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":999999878}]"} {"id": "python/three_independent_target/45/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-39, 38, 32, -74, -73, 16, 34, -5, -49, -77]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [94, -69, 70, -4, 70, 76, -44, -20, 19, 84]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 67, -61, 47, 96, -100, -30, 89, -98, 86].\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": "276", "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\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":276}]"} {"id": "python/three_independent_target/46/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -99}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-66, -71, -54, 62, -76, 51, 14, -44, -84, 66]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [42, -66, -56, -37, 81, 10, 34, -41, -18, 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": "9", "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,-77,-98,-177]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/46/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [25, 0, -51, 24, 78, 75, -60, 94, 20, 66]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [67, 78, 79, -13, 27, 44, 82, 8, -43, -38]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [1, 71, -37, -35, 66, -16, -9, 34, 41, 15].\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\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999998280},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/46/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -3}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -36, -86, -54, 45, 68, 41, -42, -17, 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\nDefine task_3_input = {\"result\": [81, 2, 70, -58, 43, 54, -60, 26, -20, 43]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [21, 26, 56, 77, 74, -85, 29, 84, -69, -47].\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": "8", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[46,-36,-86,-54,45,68,41,-42,-17,40]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/46/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [66, 47, 81, -38, -68, -33, 91, -3, -93, -81]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 38.\nDefine task_2_initialExperience_static = -72.\nDefine task_2_experience_static = [7, 75, 41, 60, 59, -8, -91, 80, -33, -41].\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\nDefine task_3_input = {\"result\": [-65, 8, 17, -30, -84, 98, 66, 38, 62, 11]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-99, -50, 80, -69, -20, 16, -97, -1, -66, 37].\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\":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\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":141},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/46/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -68}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 19, 34, 13, 57, 87, -62, -17, 2, -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\nDefine task_3_input = {\"result\": [58, -39, -92, 97, -59, -50, 63, -28, 26, 59]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [9, 49, 82, 56, 79, 96, -31, 8, -24, 19].\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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[30,19,34,13,57,87,-62,-17,2,-22]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/46/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 58}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, 62, 39, -5, -34, 87, 26, -87, 45, -68].\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\nDefine task_3_input = {\"result\": [74, -74, 5, 17, 73, -5, -55, -15, -18, -36]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [67, 14, 35, -43, -9, 12, -14, -86, -12, -31].\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": "8", "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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":63},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/46/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-57, 86, -53, -10, 32, 39, -13, -90, 74, -68]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-46, 79, -84, -11, -45, 44, -21, 98, 4, -71]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-83, 6, -26, -12, 60, 66, 24, -6, -31, 15].\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": "8", "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\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,0,1,1,1,3,2,1,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/46/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 13}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-58, -41, 38, 12, 73, 59, -44, 96, 61, -36].\nDefine task_2_passengers_static = [67, 10, -63, 97, 53, -91, -31, -83, 48, 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\nDefine task_3_input = {\"result\": [18, 49, -75, -77, -52, -90, 59, 37, 14, -8]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 38, 49, 84, 93, 34, 14, -93, 98, 85].\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\":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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":96},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/46/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [88, 4, 55, 41, 59, -67, 47, -6, -89, 82]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [34, 97, -65, 29, 29, 11, -99, 44, -50, -78]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [71, -19, 2, -60, -8, 95, 21, 92, 70, -55].\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\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":2},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[10,1,3,1,8,1,4,2,1,9]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/46/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-33, -27, -52, 22, 19, -6, 21, 51, -23, -20]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [86, -96, -27, 90, 91, -89, -15, -35, 68, 85]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -82, 65, -45, 91, -42, -73, 97, -75, 92].\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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":79},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-27,22,22,51,21,21,51,-1,-20,22]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/46/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-62, -47, 32, 51, -16, 84, 94, 43, -72, 73]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [18, -97, -95, -45, -48, 23, 15, 26, 22, 26]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [75, 27, 60, -89, 95, -81, -29, 55, 39, -94].\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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":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\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/46/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [64, 87, 64, -54, -34, 8, 43, 99, -21, 12]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [13, 68, -6, -66, 47, 62, -35, 88, -57, -64]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [82, -62, -60, 37, -1, -65, -73, 14, 80, 13].\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": "8", "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\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/46/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 73}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [71, -50, -69, -25, 0, 56, -49, -62, 45, 8]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-37, -86, -96, 72, 80, 70, -24, -61, -53, 22].\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": "8", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,74]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/46/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -16}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -73, 93, -62, 53, -87, -40, 55, 91, -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\nDefine task_3_input = {\"result\": [-7, -84, 72, 10, -77, -97, -22, -16, -96, 13]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [21, 99, -77, -44, -32, 49, 14, -85, 75, 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": "10", "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\":[-59,-73,93,-62,53,-87,-40,55,91,-7]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/46/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-22, 45, 11, -85, 4, 5, 68, 12, -49, 99]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [76, -94, -97, -86, 70, 45, 4, -44, -79, -3]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [91, 89, 45, 70, 90, -37, -77, -85, 34, 69].\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": "10", "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\":[-22,-85,4,5,68,99]},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/46/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-77, 10, -27, 4, -9, -74, 12, 54, 49, 14]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [65, -9, -49, -16, -35, -15, -100, -29, 45, 82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-39, -62, -38, 100, 33, -55, 46, -10, -54, -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": "5", "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\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/47/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 56}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-55, -34, 91, 1, -78, 22, -9, -24, 41, -64]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":[-100,-88,-93,5,-65,-13,52,54,93,-2]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,57]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":91}]"} {"id": "python/three_independent_target/47/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [83, -76, -68, -61, 51, 54, -73, 53, -1, 42]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-77, -13, 100, 68, 32, 20, 48, 41, 9, 33].\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\nDefine task_3_input = {\"result\": [8, -12, 55, -37, -8, -90, -16, -43, 25, 16]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "55", "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\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":17},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":55}]"} {"id": "python/three_independent_target/47/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-23, 34, -3, 86, 60, -49, -29, 34, 91, -36]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-4, -61, 30, -41, 78, -8, -39, -64, 94, -95]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "94", "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\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":120},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":94}]"} {"id": "python/three_independent_target/47/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -41}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, 32, 100, 90, -48, 41, 87, 17, -57, 22].\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\nDefine task_3_input = {\"result\": [-91, 42, 53, -72, -35, 0, -26, 51, 19, -3]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "53", "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\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":53}]"} {"id": "python/three_independent_target/47/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 43}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-72, 40, 16, 44, 15, 58, -14, 13, -55, -79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 66.\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": "58", "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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":39},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":58}]"} {"id": "python/three_independent_target/47/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -66}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [98, -63, -39, 81, -99, -100, 11, 65, 72, 37].\nDefine task_2_passengers_static = [-90, -13, 63, 54, 77, 77, 74, 44, 33, 98].\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\nDefine task_3_input = {\"result\": [42, -18, 22, -51, 24, 58, -33, 32, 9, -10]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 63.\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": "58", "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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":97},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":58}]"} {"id": "python/three_independent_target/47/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-31, 91, 77, -74, -72, -12, 85, 56, -72, -18]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-6, 37, 15, 28, -20, -82, 86, 82, 70, 37]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 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": "86", "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\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":86}]"} {"id": "python/three_independent_target/47/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-95, -64, -73, -20, -73, 21, 73, -24, -61, 3]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-93, -88, 80, 97, 58, -10, 77, 80, -62, 9]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "97", "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\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,2,1,2,1,1,2,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":97}]"} {"id": "python/three_independent_target/47/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-73, -27, -69, 98, 52, -24, 37, 78, -17, 35]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -90.\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\nDefine task_3_input = {\"result\": [19, -20, -91, 24, -66, -86, -94, 69, -21, -81]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -19.\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": "69", "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\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":69}]"} {"id": "python/three_independent_target/47/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-77, -21, 61, -59, -69, -81, -56, -24, -78, 77]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-72, -61, -39, -36, -93, -33, 54, -31, -37, 61]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "61", "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\":[441,3721,3481,4761,6561,3136,576,5929,6084,5929]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":61}]"} {"id": "python/three_independent_target/47/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-78, -18, -13, -23, -2, 11, -85, 64, -45, -50]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-82, 3, 37, -50, 16, 90, 3, 58, 22, 95]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "95", "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\":95}]"} {"id": "python/three_independent_target/47/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [87, -14, -3, 61, -92, -97, -94, -20, 10, -74]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -56.\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\nDefine task_3_input = {\"result\": [-2, 26, -93, -46, 2, 91, 25, 74, -43, -20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 96.\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\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":91}]"} {"id": "python/three_independent_target/47/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -61}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-80, -80, -82, -3, 51, -1, 8, 7, -35, -63]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 7.\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": "51", "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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-16},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":51}]"} {"id": "python/three_independent_target/47/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 24}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [17, 91, 4, -5, 22, 63, 63, -78, -83, 1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "91", "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\":[2,25]},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":91}]"} {"id": "python/three_independent_target/47/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-21, -65, -6, 39, -4, -68, -12, -22, 87, 91]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -56.\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\nDefine task_3_input = {\"result\": [84, 39, -81, -19, -11, -27, 74, -8, 82, 71]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "84", "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\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":84}]"} {"id": "python/three_independent_target/47/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -68}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [0, -16, 36, -42, 8, -22, 66, -99, -29, 43].\nDefine task_2_runningCost_static = 63.\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\nDefine task_3_input = {\"result\": [-6, -8, 9, -45, -19, -66, 96, 5, 48, 87]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -100.\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\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":96}]"} {"id": "python/three_independent_target/48/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 4}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 40.\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\nDefine task_3_input = {\"result\": 12}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 41, -74, 86, 24, -85, -58, 41, 64, 76].\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": "86", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,37,5,40,17]},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":86}]"} {"id": "python/three_independent_target/48/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-76, -88, 0, 87, 39, 82, 95, 11, 85, -26]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -2}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -35, 0, 84, -73, -81, 35, 77, -12, 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 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": "84", "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\":9},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":84}]"} {"id": "python/three_independent_target/48/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 41}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 52, 84, 72, 3, 38, 88, 83, -38, -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\nDefine task_3_input = {\"result\": -91}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-36, -50, -50, 14, 68, 13, -62, -63, 85, 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 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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-51,-38,3,10,38,52,72,83,84,88]},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":85}]"} {"id": "python/three_independent_target/48/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-15, 31, 13, 33, 23, 5, 74, -67, -69, -43]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [56, 89, -32, -52, 64, -89, 14, 47, 73, 77].\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\nDefine task_3_input = {\"result\": -90}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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": "84", "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\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":15},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":84}]"} {"id": "python/three_independent_target/48/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -90}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [54, -62, -62, 19, -90, -92, -63, -7, 94, 24].\nDefine task_2_runningCost_static = -44.\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\nDefine task_3_input = {\"result\": 8}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [95, 30, -74, 60, 9, 72, -28, -87, 71, 36].\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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":95}]"} {"id": "python/three_independent_target/48/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 76}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [98, 47, 36, 28, 83, -82, -93, -93, 1, -22].\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\nDefine task_3_input = {\"result\": 28}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [25, -54, 0, 75, -87, 34, -12, 48, 64, 72].\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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":517},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":75}]"} {"id": "python/three_independent_target/48/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-22, 52, 57, -84, -29, 12, -69, -92, -12, -9]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 35}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-26, -43, -35, 77, -4, 36, 61, -100, 66, -21].\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": "77", "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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[174,204,313,286,173,156,99,62,166,187]},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":77}]"} {"id": "python/three_independent_target/48/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 47}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-96, 86, 65, 74, 83, -76, -81, -93, -5, 85].\nDefine task_2_passengers_static = [-89, -23, -46, 52, -61, 66, 10, -42, -12, 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\nDefine task_3_input = {\"result\": -13}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-63, 82, 20, 7, -30, 85, 75, 60, -3, 36].\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_independent_target/48/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-43, -52, 23, -58, -3, 34, 72, -82, 30, 15]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -32.\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\nDefine task_3_input = {\"result\": 27}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [81, -49, 18, -6, -31, 35, 86, -37, -79, -11].\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": "86", "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\":10},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":86}]"} {"id": "python/three_independent_target/48/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-36, 80, -98, 22, -20, -18, -47, -8, -14, 40]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -99}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -91, -16, 51, 87, 46, -40, 18, -25, 6].\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": "87", "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\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":80},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":87}]"} {"id": "python/three_independent_target/48/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -2}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 18, 78, 50, 78, 58, -82, -39, 7, 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) -> 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\nDefine task_3_input = {\"result\": -5}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-87, -2, -36, -70, 83, -8, -1, 73, 64, -6].\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\":97},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":83}]"} {"id": "python/three_independent_target/48/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -48}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-15, 41, 69, -14, -74, -77, 0, 39, 42, 54].\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\nDefine task_3_input = {\"result\": 90}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [20, -65, 62, -55, 33, -32, 31, -6, 86, -98].\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": "86", "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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":86}]"} {"id": "python/three_independent_target/48/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [65, -38, 54, -80, 3, 43, 61, -5, -63, -79]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -23}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -6, 67, 52, -89, -3, -48, -22, 95, 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 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,66,38]},{\"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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":95}]"} {"id": "python/three_independent_target/48/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -84}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": 84}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -61, 48, -20, -68, 23, 3, 34, 28, 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 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": "48", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-83,1]},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":48}]"} {"id": "python/three_independent_target/48/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-63, 99, 5, 25, 83, 9, -9, -50, -69, 14]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 29}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -33, 28, 55, -44, -67, -68, 49, 83, -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 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\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,3,1,1,2,2,2,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":83}]"} {"id": "python/three_independent_target/48/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 16}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [79, 79, 76, -72, 81, 90, -40, 32, 5, -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 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\nDefine task_3_input = {\"result\": -2}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -48, 36, 87, -25, 88, 34, 48, 5, 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": "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\":4578},{\"node_id\":\"task_3\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":88}]"} {"id": "python/three_independent_target/49/0", "category": "python", "topology": "three_independent_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\": 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 = [-93, -27, 42, 24, 28, 6, 79, 40, -54, -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\nDefine task_2_input = {\"result\": 8}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -29, -18, 18, -56, 39, 51, -63, -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) -> 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\nDefine task_3_input = {\"result\": [-27, 3, 78, 62, -37, -80, -97, -99, 66, -81]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,1,2,2,2,2,2,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-93,-27,6,24,28,40,79,42,-54,-17]},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,1,2,2,2,2,2,1,1,0]}]"} {"id": "python/three_independent_target/49/1", "category": "python", "topology": "three_independent_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\": -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 = [-50, 31, 15, 18, 14, -98, 94, 90, -33, -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\nDefine task_2_input = {\"result\": 71}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [76, 83, 50, 81, -16, 80, 28, -62, -79, 12]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,2,1,2,1,1,2,2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-50,31,15,18,14,-98,94,90,-33,-100]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,31,72]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,2,1,2,1,1,2,2,1,0]}]"} {"id": "python/three_independent_target/49/2", "category": "python", "topology": "three_independent_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\": 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 = [43, -46, 20, 81, 31, -21, 88, -7, -49, -3].\nTrace the execution of 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\nDefine task_2_input = {\"result\": -45}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 41, 10, -14, -18, 38, -16, -33, -62, 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) -> 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\nDefine task_3_input = {\"result\": [29, -75, -18, 3, -92, -21, -42, 20, -87, 58]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[5,1,1,3,1,2,1,2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-49,-46,-21,-7,-3,20,31,43,81,88]},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":16},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[5,1,1,3,1,2,1,2,1,0]}]"} {"id": "python/three_independent_target/49/3", "category": "python", "topology": "three_independent_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\": [31, 89, 90, 7, -31, 72, 68, 13, 91, 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 (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\nDefine task_2_input = {\"result\": 44}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 30, -39, -13, -17, -55, 99, -10, 90, -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\nDefine task_3_input = {\"result\": [42, -71, -93, 64, -83, -40, 37, -58, -15, 62]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[2,2,1,4,1,1,3,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[40,68,90,72,-31,7,89,13,91,31]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-60,-55,-44,-39,-17,-13,90,-10,99,30]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,2,1,4,1,1,3,1,1,0]}]"} {"id": "python/three_independent_target/49/4", "category": "python", "topology": "three_independent_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\": -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 = [-38, -27, -61, -80, 74, 2, -14, -50, 32, -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) -> 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\nDefine task_2_input = {\"result\": -64}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -80.\nDefine task_2_energy_static = [-55, -29, 57, 68, -66, -15, -35, -26, -6, -91].\nDefine task_2_experience_static = [49, -55, 96, -50, 18, -73, -34, 89, -33, 87].\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\nDefine task_3_input = {\"result\": [-84, -63, -96, 66, 91, -23, 99, -14, -25, -1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,2,1,1,2,1,2,2,1,0]", "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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":219},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,2,1,1,2,1,2,2,1,0]}]"} {"id": "python/three_independent_target/49/5", "category": "python", "topology": "three_independent_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\": [-45, 6, -47, -86, 65, -31, -55, -94, -43, 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]) -> 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\nDefine task_2_input = {\"result\": 36}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-26, -37, -60, 15, 13, 13, 33, -66, 3, 80]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[2,2,1,3,1,1,3,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,2,1,3,1,1,3,1,1,0]}]"} {"id": "python/three_independent_target/49/6", "category": "python", "topology": "three_independent_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\": -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 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\nDefine task_2_input = {\"result\": [-73, 49, -98, 11, 70, 90, -3, 66, 16, -68]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [10, -18, 50, 69, -24, -79, -6, -97, -21, -92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[2,1,1,2,2,1,2,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-17},{\"node_id\":\"task_2\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,1,2,2,1,2,1,1,0]}]"} {"id": "python/three_independent_target/49/7", "category": "python", "topology": "three_independent_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\": -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_y_static = 97.\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\nDefine task_2_input = {\"result\": 96}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-75, -40, -52, -31, -49, -84, 29, 26, 45, 19]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,2,1,2,2,1,2,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-97,-1]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-60]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,2,1,2,2,1,2,1,1,0]}]"} {"id": "python/three_independent_target/49/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-26, -81, 4, -5, 5, 2, 47, 26, 78, -14]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-41, -35, -61, 55, 11, 27, -25, 77, -78, -34]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,2,1,3,1,2,1,2,1,0]", "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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-26,-26,-1,0,3,4,36,37,37,-14]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,2,1,3,1,2,1,2,1,0]}]"} {"id": "python/three_independent_target/49/9", "category": "python", "topology": "three_independent_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\": -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 = [25, 29, -73, -84, 77, -27, -77, 36, 20, 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\nDefine task_2_input = {\"result\": [95, 50, 35, -6, -56, 32, 54, -13, -54, -15]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [15, -90, -51, 98, 72, -65, -66, 33, -69, 97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[3,1,1,2,3,2,1,2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[25,29,-73,-84,77,-27,-77,36,20,86]},{\"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\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[3,1,1,2,3,2,1,2,1,0]}]"} {"id": "python/three_independent_target/49/10", "category": "python", "topology": "three_independent_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\": 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 = -14.\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\nDefine task_2_input = {\"result\": [93, -91, 24, -72, 20, 30, 13, -51, 14, -83]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 75.\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\nDefine task_3_input = {\"result\": [21, 86, 71, 27, -32, 79, -5, -21, 35, -91]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,2,2,2,1,2,2,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-13,46,31]},{\"node_id\":\"task_2\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":93},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,2,2,2,1,2,2,1,1,0]}]"} {"id": "python/three_independent_target/49/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 74}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -18, -77, 2, 97, -89, -64, 51, -74, -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\nDefine task_3_input = {\"result\": [86, 3, -34, -1, 39, -41, 96, -64, 54, -27]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[3,3,1,1,2,1,2,1,1,0]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-89,-77,-74,-64,-20,-18,2,51,69,97]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[3,3,1,1,2,1,2,1,1,0]}]"} {"id": "python/three_independent_target/49/12", "category": "python", "topology": "three_independent_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}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 23, 15, 47, -24, 53, 86, 89, 28, 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\nDefine task_2_input = {\"result\": 85}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 82, 22, 72, -1, 14, 9, -99, -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\nDefine task_3_input = {\"result\": [62, -100, 43, -92, -60, 39, 11, 72, -59, -9]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[3,1,4,1,1,2,1,2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-3,23,15,47,-24,53,86,89,28,66]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-99,-74,-1,9,14,22,67,68,72,82]},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[3,1,4,1,1,2,1,2,1,0]}]"} {"id": "python/three_independent_target/49/13", "category": "python", "topology": "three_independent_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\": [19, -89, -94, 29, 70, -54, -3, -55, -40, 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 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\nDefine task_2_input = {\"result\": -72}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [55, 49, 6, -60, -7, -57, 55, -26, -41, -20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[2,2,3,1,2,1,2,2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-27},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,2,3,1,2,1,2,2,1,0]}]"} {"id": "python/three_independent_target/49/14", "category": "python", "topology": "three_independent_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\": 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 = 23.\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\nDefine task_2_input = {\"result\": 43}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -86, 5, 73, 55, -26, -50, 85, 34, -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) -> 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\nDefine task_3_input = {\"result\": [-30, 1, -99, 58, 100, 51, 23, -29, 76, -6]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,2,1,3,1,2,2,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,24,23,45]},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":47},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,2,1,3,1,2,2,1,1,0]}]"} {"id": "python/three_independent_target/49/15", "category": "python", "topology": "three_independent_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\": -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 = [-79, 90, 96, -23, 67, -12, 27, 8, 2, 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\nDefine task_2_input = {\"result\": -32}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 51, -55, 1, -62, -2, 70, 9, 5, 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) -> 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\nDefine task_3_input = {\"result\": [52, -33, 94, 13, -12, 84, -94, -38, -7, -74]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[2,1,2,2,1,3,1,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-79,90,96,-23,67,-12,27,8,2,56]},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,2,2,1,3,1,1,1,0]}]"} {"id": "python/three_independent_target/50/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -47}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -94, 11, -21, -57, -43, 68, 54, 17, -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\nDefine task_3_input = {\"result\": [85, -54, 32, 4, 73, -8, -5, 90, 87, -67]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[152,121,143,107,30,35,22,107,284,304]", "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\":[24,-94,11,-21,-57,-43,68,54,17,-33]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[152,121,143,107,30,35,22,107,284,304]}]"} {"id": "python/three_independent_target/50/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [35, -97, -54, 69, 49, -64, 49, 80, 12, -55]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -47.\nDefine task_2_runningCost_static = -5.\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\nDefine task_3_input = {\"result\": [-43, -5, 59, -41, -5, -60, -69, -15, 98, -57]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[95,47,101,119,73,8,121,205,122,81]", "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\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[95,47,101,119,73,8,121,205,122,81]}]"} {"id": "python/three_independent_target/50/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 32}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -20, -59, 92, 55, -28, 45, -67, 57, -37].\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\nDefine task_3_input = {\"result\": [-80, -76, 87, 49, 55, 15, -63, -27, 32, 9]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[81,237,226,90,14,84,36,54,49,8]", "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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":40},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[81,237,226,90,14,84,36,54,49,8]}]"} {"id": "python/three_independent_target/50/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-3, -99, -60, 3, 50, 18, -19, -21, -45, 60]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-60, -83, 82, -2, 15, -27, 100, 5, -99, -26]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[135,8,9,71,84,72,45,50,44,169]", "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\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[135,8,9,71,84,72,45,50,44,169]}]"} {"id": "python/three_independent_target/50/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-5, -91, -97, 23, 97, -85, 54, -56, 60, 68]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-99, 59, 2, 60, -52, 15, -31, 26, -55, 59].\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\nDefine task_3_input = {\"result\": [-38, 25, -55, -98, 13, -53, 85, 90, -63, 39]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[17,4,26,179,264,304,272,97,70,94]", "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\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":22},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[17,4,26,179,264,304,272,97,70,94]}]"} {"id": "python/three_independent_target/50/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-36, -32, -59, 24, 34, -32, -97, -37, 96, 5]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [61, 70, 8, 92, 72, -90, -88, 39, -77, -5]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[21,110,188,288,452,434,256,207,169,87]", "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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[98,30,61,96,38,36,165,299,240,139]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[21,110,188,288,452,434,256,207,169,87]}]"} {"id": "python/three_independent_target/50/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-63, 76, -98, -35, -14, -47, 64, -60, 38, -98]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-81, 5, -34, -2, -22, -70, -87, 24, 50, -5]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[141,65,36,0,24,116,273,336,262,217]", "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\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[141,65,36,0,24,116,273,336,262,217]}]"} {"id": "python/three_independent_target/50/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 79}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 39, 16, -37, 76, 41, 23, 18, -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\nDefine task_3_input = {\"result\": [-60, -46, -24, -28, 78, 37, 86, -66, 39, -90]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[14,92,162,214,164,49,74,94,67,16]", "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\":[-37,-32,-1,16,18,23,39,41,45,76]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[14,92,162,214,164,49,74,94,67,16]}]"} {"id": "python/three_independent_target/50/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [87, -37, -99, -70, -82, 67, -45, -25, -84, 94]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -61.\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\nDefine task_3_input = {\"result\": [-46, 100, -55, 14, -4, -79, -92, -58, 43, -29]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[260,214,159,118,128,45,126,276,291,277]", "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\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":94},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[260,214,159,118,128,45,126,276,291,277]}]"} {"id": "python/three_independent_target/50/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [33, 5, 91, -78, 82, -67, -55, 13, 91, -54]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-25, 4, 80, -65, -89, 98, -72, -13, -32, 3]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[86,65,149,164,10,19,45,40,85,114]", "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\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":25},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[86,65,149,164,10,19,45,40,85,114]}]"} {"id": "python/three_independent_target/50/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -77}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [11, 52, -14, -13, -77, -76, 72, 81, 25, 35].\nDefine task_2_runningCost_static = -77.\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\nDefine task_3_input = {\"result\": [77, 81, -49, 30, 55, 68, -35, 79, 48, 31]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[308,150,118,137,52,71,104,148,275,354]", "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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[308,150,118,137,52,71,104,148,275,354]}]"} {"id": "python/three_independent_target/50/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -69}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 45, -69, -41, -2, -85, 52, 55, 69, 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\nDefine task_3_input = {\"result\": [92, 15, 60, 25, -13, 34, -59, 94, 29, 82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[267,160,85,0,12,33,8,43,166,277]", "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\":[86,45,-69,-41,-2,-85,52,55,69,93]},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[267,160,85,0,12,33,8,43,166,277]}]"} {"id": "python/three_independent_target/50/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 5}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [29, -58, -29, 24, -46, 63, 31, -14, 59, 26].\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\nDefine task_3_input = {\"result\": [3, -48, 9, -22, 52, 60, 43, 85, -45, 54]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[188,233,272,285,255,143,40,88,128,137]", "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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":63},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[188,233,272,285,255,143,40,88,128,137]}]"} {"id": "python/three_independent_target/50/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-78, 75, -84, -45, 68, -10, -13, 49, 8, -42]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-53, 19, 36, 10, -88, -29, 85, -39, -51, 62]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[5,39,16,62,16,133,77,31,121,110]", "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\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[5,39,16,62,16,133,77,31,121,110]}]"} {"id": "python/three_independent_target/50/14", "category": "python", "topology": "three_independent_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\": -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 = 31.\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\nDefine task_2_input = {\"result\": 62}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-63, -25, -39, 50, -10, -24, 0, 60, -27, -9].\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\nDefine task_3_input = {\"result\": [-24, -73, 82, 65, -23, 41, -3, -80, 37, 92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[138,235,226,79,37,19,19,64,107,22]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-44,-14]},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[138,235,226,79,37,19,19,64,107,22]}]"} {"id": "python/three_independent_target/50/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-18, 8, 92, 69, 95, -56, 31, -19, 21, 28]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [36, -35, -7, -74, 53, -98, 96, -82, 58, -35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[124,125,83,2,19,64,66,52,76,53]", "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\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-18},{\"node_id\":\"task_3\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[124,125,83,2,19,64,66,52,76,53]}]"} {"id": "python/three_independent_target/51/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 71}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -9, 26, -91, -61, -83, -38, -73, 40, 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\nDefine task_3_input = {\"result\": [91, 74, -85, -64, -91, -17, -68, -9, -8, -41]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-91,-83,-73,-61,-38,-9,26,40,58,96]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/51/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [8, 39, -33, -65, 43, -35, 79, -52, -17, -17]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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\nDefine task_3_input = {\"result\": [77, -99, -4, 57, -91, -43, -62, 89, 0, -73]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-73},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-65,39,-52,-35,43,-33,79,-17,-17,8]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/51/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -19}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -82, -22, 27, -53, 74, 7, -2, 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\nDefine task_3_input = {\"result\": [-88, 76, -4, 37, 69, -48, -99, 30, -20, 2]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-37,-82,-22,27,-53,74,7,-2,74,-1]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/51/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 19}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-53, -44, -73, 82, -84, 19, 0, -50, -98, 72]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":19},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/51/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-73, 70, -10, 37, -65, -78, 71, -61, 93, -67]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-23, 91, -68, -91, 72, 20, -24, -34, 24, 47].\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\nDefine task_3_input = {\"result\": [45, -45, -94, -100, -100, -4, -89, 92, -76, 13]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":7},{\"node_id\":\"task_2\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":14},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/51/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-43, -54, -55, -58, 42, 63, -18, 23, 71, -95]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-53, 45, -9, -24, 74, 29, 65, -85, 65, -90]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":[81,16,125,238,254,149,104,99,5,29]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/51/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-93, -14, 90, -12, 80, -69, -98, 97, 58, -23]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 81.\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\nDefine task_3_input = {\"result\": [-21, 1, 60, -17, 39, -10, 54, -35, -28, -1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":719},{\"node_id\":\"task_2\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":91},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/51/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [55, -14, -77, 65, -92, 64, 63, -79, 70, 57]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-53, 73, -84, 56, 5, 47, 37, 83, -16, 69]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":[57,16,107,119,146,174,47,63,72,55]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/51/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-48, -95, -13, 51, 24, -98, 22, -2, -100, 85]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-95, -65, 32, -5, -1, -75, 76, 54, 60, -68]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/51/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 23}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [74, 74, -14, 88, 88, -55, 71, 20, -8, -80]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-11,24,11]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/51/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [50, -40, 73, 11, 95, -28, 97, -77, -23, 17]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-43, 54, -12, 31, -39, -80, -47, 55, 86, -7]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":21},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[121,9025,784,9409,5929,529,289,5329,1600,2500]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/51/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -33}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 5.\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\nDefine task_3_input = {\"result\": [59, 88, -65, -76, 52, 57, 72, 64, 85, -30]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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,-31,-32,-65]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/51/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 3}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [85, -63, 85, 68, -55, 44, 99, 70, -24, -37]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-82,-78,-11,40,51,67,74,74,75,88]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,7,4,9]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/51/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [41, -81, 93, -49, -73, 74, 26, -59, 77, 27]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-88, 41, 52, 50, 87, 39, -67, 44, -38, -25]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":[2,1,10,2,1,5,2,1,7,1]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/51/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 87}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [18, -87, -63, -82, -25, -3, 31, -100, -3, -83]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,19]},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/51/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -31}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [7, -92, 69, -64, 64, -49, 38, -82, -64, -59].\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\nDefine task_3_input = {\"result\": [-100, -55, 23, 97, -7, -10, 41, 34, 44, 81]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/52/0", "category": "python", "topology": "three_independent_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\": [-29, 60, -7, -72, -91, 91, -54, 20, 34, 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 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\nDefine task_2_input = {\"result\": [-99, -6, -60, -99, -24, -18, 27, -27, -64, -49]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [37, 47, 14, -89, 8, 14, -38, 47, -67, -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\nDefine task_3_input = {\"result\": 36}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "16", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":166},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-66,-67,47,-38,14,8,-89,37,-99,-6,-60,-99,-24,-18,27,-27,-64,-49]},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":16}]"} {"id": "python/three_independent_target/52/1", "category": "python", "topology": "three_independent_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\": 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 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\nDefine task_2_input = {\"result\": 5}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 50, -67, 92, 38, -74, 72, -93, 76, 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) -> 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\nDefine task_3_input = {\"result\": 81}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":99},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":144},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":28}]"} {"id": "python/three_independent_target/52/2", "category": "python", "topology": "three_independent_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\": [-4, 0, -32, -7, 11, 55, 98, 19, 67, 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 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\nDefine task_2_input = {\"result\": [9, 8, 19, 92, -92, -26, -9, 92, -47, 82]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 66}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[9,9,19,19,-26,-26,-9,22,23,82]},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":25}]"} {"id": "python/three_independent_target/52/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-51, 90, 43, -81, -58, 23, 87, -53, -26, 83]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 3}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":3}]"} {"id": "python/three_independent_target/52/4", "category": "python", "topology": "three_independent_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\": [28, -44, -79, 28, 7, 20, -32, 86, 72, 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\nDefine task_2_input = {\"result\": [-41, 73, 8, -42, -100, 6, -91, 10, 49, -1]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 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\nDefine task_3_input = {\"result\": 7}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":116},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":5}]"} {"id": "python/three_independent_target/52/5", "category": "python", "topology": "three_independent_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\": -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 = [22, -7, 0, 13, -50, 15, -89, -67, -36, -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) -> List[int]:\n n = len(nums)\n arr = sorted(zip(nums, range(n)))\n ans = [0] * n\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\nDefine task_2_input = {\"result\": [-28, -59, 82, 99, -90, -28, 28, 54, 73, 32]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 9}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[22,-7,0,13,-50,15,-89,-67,-36,-68]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-28,-28,82,82,-28,-28,28,54,54,32]},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":6}]"} {"id": "python/three_independent_target/52/6", "category": "python", "topology": "three_independent_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\": -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 = -24.\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\nDefine task_2_input = {\"result\": [-86, -41, 92, 1, 58, 75, 39, -97, -15, -36]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, -95, 11, 17, 26, 95, 43, -87, -63, 18].\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\nDefine task_3_input = {\"result\": 62}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "24", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-23,-14,-39]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[18,-63,-87,43,95,26,17,11,-95,-61,-86,-41,92,1,58,75,39,-97,-15,-36]},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":24}]"} {"id": "python/three_independent_target/52/7", "category": "python", "topology": "three_independent_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\": 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 = [85, -82, -28, 77, -70, -80, -91, -91, 28, -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) -> List[int]:\n n = len(nums)\n arr = sorted(zip(nums, range(n)))\n ans = [0] * n\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\nDefine task_2_input = {\"result\": -84}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 97, -83, -21, -32, 34, 47, 36, 78, 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\nDefine task_3_input = {\"result\": 89}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "31", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-91,-91,-84,-82,-80,-70,-28,28,77,85]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[9,97,-83,-21,-32,34,47,36,78,58]},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":31}]"} {"id": "python/three_independent_target/52/8", "category": "python", "topology": "three_independent_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\": 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_plants_static = [86, 90, 1, -90, 55, 65, 54, 11, 5, -78].\nDefine task_1_capacityB_static = -73.\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\nDefine task_2_input = {\"result\": [35, 11, 17, 11, -98, -26, -57, 6, -46, -26]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 g = [1] * n\n for i in range(1, n):\n if list_2[i] > list_2[i - 1]:\n f[i] = f[i - 1] + 1\n ans = 0\n for i in range(n - 2, -1, -1):\n if list_2[i] > list_2[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_2 = ans\n return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nDefine task_3_input = {\"result\": 35}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":15}]"} {"id": "python/three_independent_target/52/9", "category": "python", "topology": "three_independent_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\": -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 = [-45, 99, 82, -8, 88, -97, -89, -97, 72, 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\nDefine task_2_input = {\"result\": -97}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -50, -79, -56, -56, -58, -44, 64, 55, 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) -> 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\nDefine task_3_input = {\"result\": 10}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-45,99,82,-8,88,-97,-89,-97,72,18]},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":239},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":6}]"} {"id": "python/three_independent_target/52/10", "category": "python", "topology": "three_independent_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\": 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 = [-81, 52, 42, -80, -23, -28, -49, 10, 14, 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\nDefine task_2_input = {\"result\": 97}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": 18}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-81,-80,-49,-28,-23,10,14,42,52,83]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-83]},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":10}]"} {"id": "python/three_independent_target/52/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [26, -86, 29, 17, -54, -28, -71, -65, -30, -70]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 22}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "12", "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\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,0,0,1,0,1,1,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":12}]"} {"id": "python/three_independent_target/52/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -8}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-75, 47, -16, 97, 50, 11, -87, 58, 30, 37].\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\nDefine task_3_input = {\"result\": 39}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "18", "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\":-5},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":18}]"} {"id": "python/three_independent_target/52/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -3}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 67, -67, 1, 45, -58, 37, -44, -53, -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\nDefine task_3_input = {\"result\": 80}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[22,67,-67,1,45,-58,37,-44,-53,-80]},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":28}]"} {"id": "python/three_independent_target/52/14", "category": "python", "topology": "three_independent_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\": [73, 39, 56, -82, -22, -14, -32, -4, -69, -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_arr2_static = [-65, 38, -82, -30, 8, -13, -14, -17, 8, 12].\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\nDefine task_2_input = {\"result\": 95}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": 73}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "27", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,5,75,-26,-112,-14,-27,-46,-21,-61,-83]},{\"node_id\":\"task_2\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":27}]"} {"id": "python/three_independent_target/52/15", "category": "python", "topology": "three_independent_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\": -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 = [-32, 30, -59, 38, -9, -30, 46, 46, -57, -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\nDefine task_2_input = {\"result\": 38}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": 18}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-32,30,-59,38,-9,-30,46,46,-57,-63]},{\"node_id\":\"task_2\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":83},{\"node_id\":\"task_3\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":10}]"} {"id": "python/three_independent_target/53/0", "category": "python", "topology": "three_independent_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.\nDefine task_1_skills_static = [-18, -73, -44, -25, 27, -13, -56, 32, -93, -33].\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\nDefine task_2_input = {\"result\": [-37, -30, -92, -25, 28, -10, 83, -100, -82, -6]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-97, -44, 28, 43, -16, -77, -16, 37, -4, 55].\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\nDefine task_3_input = {\"result\": [8, -49, 29, 27, -82, -35, -84, -22, -58, -57]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/53/1", "category": "python", "topology": "three_independent_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\": [-97, -24, -44, -44, -86, 10, -54, 26, 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]) -> 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\nDefine task_2_input = {\"result\": -33}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [22, 35, -47, 79, 69, -44, 67, 2, 65, -12]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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,-32]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/53/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 8}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-79, 28, -20, -57, 13, -37, 37, 97, 96, 0]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,9]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/53/3", "category": "python", "topology": "three_independent_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\": -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 = [-86, -11, 62, -96, 92, -51, -99, -15, 33, -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 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\nDefine task_2_input = {\"result\": 13}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -37, 29, 98, -82, 54, 80, 65, 31, -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\nDefine task_3_input = {\"result\": [12, 11, -34, -4, -20, -88, 46, 26, 14, -14]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":48},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-20,-37,29,98,-86,54,80,65,31,-82]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/53/4", "category": "python", "topology": "three_independent_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\": [48, -57, -46, 52, 22, 49, -37, -20, -99, 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 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\nDefine task_2_input = {\"result\": 32}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [48, 62, -90, -97, -17, 37, 81, 6, -49, 77]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":24},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,60,33]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/53/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -30}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [56, 6, -33, -72, 14, 15, 59, -48, -42, -95].\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\nDefine task_3_input = {\"result\": [3, 37, 1, 17, -43, -70, 73, -40, 31, 62]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":88},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/53/6", "category": "python", "topology": "three_independent_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\": [11, -40, -46, 51, 18, -93, 56, 54, 53, 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 (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\nDefine task_2_input = {\"result\": [2, -65, 69, -2, -93, -63, 31, -72, 40, 12]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-74, 84, 58, -12, 72, -75, 70, 8, -35, -35].\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\nDefine task_3_input = {\"result\": [-52, -63, -2, 24, -31, -75, 66, 15, -60, 99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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,-40,-46,56,18,-93,51,11,53,93]},{\"node_id\":\"task_2\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/53/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [54, 59, -29, 73, 44, -47, 91, 66, -3, 88]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-7, -2, 72, -42, -8, 26, -2, 75, 87, 70].\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\nDefine task_3_input = {\"result\": [92, -88, -70, -18, -98, -85, 4, -52, -77, -69]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-95,-6,-59,90,80,56,-92,-49,95,-15]},{\"node_id\":\"task_2\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/53/8", "category": "python", "topology": "three_independent_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\": 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 = [4, 93, -36, 87, 58, -15, -93, 94, 69, -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\nDefine task_2_input = {\"result\": [-25, -45, -91, 10, 28, 75, 3, -1, 42, -37]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-7, -20, 63, 18, 39, 18, -30, 12, 19, -23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-36,58,-15,69,87,4,-93,93,94,-85]},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-25,-45,-45,10,28,28,3,3,3,-37]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/53/9", "category": "python", "topology": "three_independent_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\": 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.\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\nDefine task_2_input = {\"result\": [-93, -85, -28, -98, -66, 91, -97, -97, -35, 91]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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_passengers_static = [87, -80, 78, 66, -10, 60, 82, 27, 37, 57].\nDefine task_2_capacity_static = -30.\nTrace the execution of task_2 with inputs passengers = task_2_passengers_static, capacity = task_2_capacity_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], passengers: List[int], capacity: int) -> int:\n list_2.sort()\n passengers.sort()\n j = 0\n for t in list_2:\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_2[-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\nDefine task_3_input = {\"result\": [18, 76, 38, 90, 61, 71, 97, 54, 56, 28]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":18},{\"node_id\":\"task_2\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":91},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/53/10", "category": "python", "topology": "three_independent_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\": [-91, 69, 19, -92, -57, 17, 55, -4, -98, 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_queries_static = [-4, -94, -73, 17, -94, -61, -15, -5, -85, 89].\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\nDefine task_2_input = {\"result\": [-100, 29, -79, -100, 27, -60, 89, 1, 59, 87]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -50.\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\nDefine task_3_input = {\"result\": [3, 11, 65, -39, 46, -77, -34, -25, -74, -96]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[89,-85,-5,-15,-61,-94,17,-73,-4,-91,69,19,-92,-57,55,-98,21]},{\"node_id\":\"task_2\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":389},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/53/11", "category": "python", "topology": "three_independent_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\": [94, -27, -88, 81, -58, 78, -88, 1, 14, 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 = [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\nDefine task_2_input = {\"result\": [-71, 69, 43, -58, 58, 49, 48, 34, -63, 26]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-43, 52, 44, 72, 77, 98, 88, -63, -20, -52].\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\nDefine task_3_input = {\"result\": [71, 100, 63, -65, -51, -24, -94, 84, 6, -80]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":136},{\"node_id\":\"task_2\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":253},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/53/12", "category": "python", "topology": "three_independent_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\": [-49, 75, -87, 17, -15, -34, -51, -8, 87, 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_k_static = -84.\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\nDefine task_2_input = {\"result\": 22}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 21, 39, -88, 73, 9, -99, 89, -67, 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) -> 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\nDefine task_3_input = {\"result\": [-74, 44, 65, 35, -9, 87, 97, 45, 73, 94]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":150},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":14},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/53/13", "category": "python", "topology": "three_independent_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\": [91, -94, -60, -79, -76, -5, 50, -71, -49, -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 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\nDefine task_2_input = {\"result\": [75, 47, 53, -44, 14, -52, 59, -77, -37, 44]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [18, 63, 74, 61, -66, -57, 35, -4, -62, -66]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[91,-76,-76,-76,-76,-5,-5,-60,-60,-83]},{\"node_id\":\"task_2\",\"native_task_id\":15,\"native_task_name\":\"candy:list\",\"output_value\":17},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/53/14", "category": "python", "topology": "three_independent_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\": [-90, -23, -70, -12, -31, 74, -82, 31, 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 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\nDefine task_2_input = {\"result\": [-71, -10, 87, -54, -57, 16, -62, 100, 55, -68]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-97, -92, 73, 37, 55, -15, -77, 30, 54, 72].\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\nDefine task_3_input = {\"result\": [-68, 98, -71, -69, -95, 70, -19, -10, 30, -60]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-23,-12,-12,74,74,-1,31,62,62,74]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[72,54,30,-77,-15,55,37,73,-92,-97,-71,-10,87,-54,-57,16,-62,0,-68]},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/53/15", "category": "python", "topology": "three_independent_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\": [-35, 86, -48, 94, 54, -38, -84, 18, 48, 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 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\nDefine task_2_input = {\"result\": [-73, -3, -2, -72, 33, -85, 29, 96, -70, -4]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [8, 74, 23, 88, 54, -92, 96, 80, 63, -90]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[48,-48]},{\"node_id\":\"task_2\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":664},{\"node_id\":\"task_3\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/54/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-88, -33, -83, -98, 88, -1, -8, 64, 26, -96]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 g = [1] * n\n for i in range(1, n):\n if list_2[i] > list_2[i - 1]:\n f[i] = f[i - 1] + 1\n ans = 0\n for i in range(n - 2, -1, -1):\n if list_2[i] > list_2[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_2 = ans\n return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nDefine task_3_input = {\"result\": [-66, 53, 14, -5, -4, -55, -17, 0, -60, -92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -85, 66, 0, 45, -57, -59, 32, 85, -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": "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\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/54/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -25}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 62, 74, 80, 73, -50, -42, -43, 76, 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\nDefine task_3_input = {\"result\": [-45, 52, 47, -24, -89, 15, -70, 75, 95, 34]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [22, -5, -87, 54, 53, -20, -4, -94, -56, 18].\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\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[99,62,74,80,73,-50,-42,-43,76,19]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/54/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [6, -14, -62, -33, -98, 77, -49, -97, -10, -52]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-37, 37, -67, 56, 99, -82, -93, 23, 63, -42]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [85, 19, 66, -88, -85, 89, 87, -31, 69, -21].\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\":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\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/54/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-13, -56, -85, 100, 32, -57, -83, 69, 4, 87]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -78.\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\nDefine task_3_input = {\"result\": [23, -17, -87, -2, -64, -27, -71, -21, 60, -29]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-99, -92, 85, -51, -46, -39, 29, -69, 28, 69].\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\":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\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/54/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -49}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [100, 14, 42, 98, -26, 86, 75, -62, -62, -86]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -27, 90, -90, 20, -86, -15, 77, -69, 9].\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\":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,-72,-48,-122]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/54/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-93, -51, 68, -66, 30, -15, -47, 86, 33, -50]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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_passengers_static = [-3, 36, -13, 20, -48, 52, -39, -35, 19, 7].\nDefine task_2_capacity_static = -79.\nTrace the execution of task_2 with inputs passengers = task_2_passengers_static, capacity = task_2_capacity_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], passengers: List[int], capacity: int) -> int:\n list_2.sort()\n passengers.sort()\n j = 0\n for t in list_2:\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_2[-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\nDefine task_3_input = {\"result\": [-19, -41, 35, 87, -48, -99, -62, -13, -84, 43]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -60, 3, 78, 13, 13, 51, -73, 21, -73].\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\":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\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":86},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/54/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [35, -93, 79, -88, 39, 97, -43, -25, 0, 72]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 31.\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\nDefine task_3_input = {\"result\": [-43, -64, 53, 90, -46, 19, 33, 6, -71, -94]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-44, 8, 83, 98, 25, -38, -58, 66, 68, -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": "10", "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\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":65},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/54/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -49}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-48, -43, 42, 76, 3, 93, 59, 76, -78, 30].\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\nDefine task_3_input = {\"result\": [-82, -50, 28, 86, -71, 89, -1, -86, -43, 38]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-11, -14, -36, -7, 85, -15, 77, -73, -80, -88].\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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/54/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -35}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-42, 89, -42, 22, -49, -46, -97, 45, 31, 99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-83, 48, -98, -65, -37, -58, 13, 14, -26, 92].\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\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":412},{\"node_id\":\"task_2\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-53},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/54/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 100}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 66, -61, 79, 79, 15, 53, 76, 96, -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) -> 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\nDefine task_3_input = {\"result\": [90, 89, 23, 54, 25, -34, 72, 76, -83, 18]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [63, 43, -18, -98, -57, 88, -36, 11, -41, 49].\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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-81]},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/54/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 16}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 93.\nDefine task_2_energy_static = [-99, -47, 79, 56, -11, 88, 43, 62, 19, -79].\nDefine task_2_experience_static = [-52, -84, -35, 16, -65, 4, -88, 5, 17, -2].\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\nDefine task_3_input = {\"result\": [94, -61, 77, -10, 46, -44, 33, 94, -97, -26]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 20, 16, -97, 10, -94, 72, -71, -78, 74].\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\":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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":320},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/54/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -10}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -84, 14, -68, -88, 35, -60, -62, -94, -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) -> 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\nDefine task_3_input = {\"result\": [22, -90, 75, 39, 74, -50, -51, 48, -30, 5]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [4, -41, -96, 88, -22, -84, 96, -12, 98, 84].\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\":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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/54/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [96, 15, 68, -74, 96, 8, -86, 90, -45, -69]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [81, 39, 42, -43, 77, 4, -80, -81, 34, 61]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-99, 54, -100, -51, 41, 27, 97, 32, 8, -17].\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\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/54/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -91}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-86, -35, -25, 42, 91, 19, -48, -85, 39, 69]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-31, -52, 61, 21, 58, 39, -32, 4, -95, 90].\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\":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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-51,-90,-143]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/54/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-17, 9, -15, -7, 58, -55, 18, -53, -35, 23]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -69.\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\nDefine task_3_input = {\"result\": [1, 61, -24, 99, 61, -45, 86, -72, -65, 24]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-11, -28, 77, 34, 91, 67, -2, 4, -77, 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": "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\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/54/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 74}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [12, 97, -38, -10, 89, 77, 1, -44, -54, -96]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [64, 79, 11, -73, 51, 36, -85, 14, -85, 4].\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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,43,75]},{\"node_id\":\"task_3\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/55/0", "category": "python", "topology": "three_independent_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\": 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_tokens_static = [-77, 75, -8, 51, -47, -76, 84, -10, -14, -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\nDefine task_2_input = {\"result\": [41, 93, -42, -69, -84, -50, -35, -40, -40, 59]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-100, -57, 77, 67, 92, 45, -26, 91, 55, 49]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "53", "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\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-84},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":53}]"} {"id": "python/three_independent_target/55/1", "category": "python", "topology": "three_independent_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\": -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 = [-16, -54, 8, -88, 95, -49, -26, 8, 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) -> 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\nDefine task_2_input = {\"result\": [18, 30, 7, -53, -84, 99, -42, 79, -35, -47]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 22.\nDefine task_2_runningCost_static = -37.\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\nDefine task_3_input = {\"result\": [36, 44, -1, 63, 47, 14, -25, 50, 85, 43]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "21", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":187},{\"node_id\":\"task_2\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":21}]"} {"id": "python/three_independent_target/55/2", "category": "python", "topology": "three_independent_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\": [23, -48, 49, -68, -31, 27, -24, -8, 97, -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\nDefine task_2_input = {\"result\": [90, -72, -59, -80, -11, -7, -10, -20, 46, -60]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-77, 15, 77, 4, -94, -21, 20, -30, 80, -67].\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\nDefine task_3_input = {\"result\": [-13, -64, 90, 1, 1, 39, 66, 95, -19, -51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "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\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":999999914},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/55/3", "category": "python", "topology": "three_independent_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\": [20, -98, 16, 68, 30, 2, 5, 32, 58, -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_s_static = [28, 47, 59, -64, 25, -24, 86, -30, -3, 57].\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\nDefine task_2_input = {\"result\": 39}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 47, -33, -4, 44, 3, 1, 15, -77, -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\nDefine task_3_input = {\"result\": [14, -30, 84, 41, 87, 56, 61, 10, -98, 92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-77,-46,-33,-4,1,3,15,22,44,47]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":35}]"} {"id": "python/three_independent_target/55/4", "category": "python", "topology": "three_independent_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\": [40, -63, -2, -74, -23, 76, 66, -29, -10, -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 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\nDefine task_2_input = {\"result\": -46}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [22, 89, -68, 75, 6, -53, -87, -72, 82, 65].\nDefine task_2_capacityB_static = 12.\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\nDefine task_3_input = {\"result\": [-18, 98, 40, 36, 37, 83, 76, -92, -74, -15]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[40,-32,-33,-33,-23,66,66,-15,-15,-15]},{\"node_id\":\"task_2\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/55/5", "category": "python", "topology": "three_independent_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\": [5, 42, 42, -44, -99, -89, 68, -81, -17, -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 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\nDefine task_2_input = {\"result\": -56}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [1, 80, 91, 52, -25, 56, 24, 54, 82, 35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "94", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":68},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-78,-55,-135]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":94}]"} {"id": "python/three_independent_target/55/6", "category": "python", "topology": "three_independent_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\": [18, -38, -20, -95, 28, 0, -83, -44, 3, -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_arr2_static = [-66, -99, 43, -67, -5, -36, -89, 83, -30, -68].\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\nDefine task_2_input = {\"result\": -53}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-35, 49, 70, 31, 64, 15, 24, -38, -36, 5]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "62", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-48,-138,21,-163,21,-36,-173,37,-27,-160]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-97,-52,-151]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":62}]"} {"id": "python/three_independent_target/55/7", "category": "python", "topology": "three_independent_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\": 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_nums_static = [-89, 77, 96, -7, -44, 93, -71, 32, 94, -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\nDefine task_2_input = {\"result\": [14, -53, -84, -66, -95, -48, 59, -38, 71, -86]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [72, -29, -78, 83, 72, 61, 53, 65, 44, -57]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "75", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-89,-71,-44,-27,-7,32,77,93,94,96]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-53,-84,-66,-95,-48,-86]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":75}]"} {"id": "python/three_independent_target/55/8", "category": "python", "topology": "three_independent_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\": 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 = [90, 37, -24, 71, -100, -54, 33, 30, -72, 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\nDefine task_2_input = {\"result\": [84, 6, -5, 90, 26, 89, 10, -68, -5, -16]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-31, -63, -11, -16, 87, 36, 63, 93, 59, -98]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "31", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[30,33,-100,37,-72,-54,71,81,-24,90]},{\"node_id\":\"task_2\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":90},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":31}]"} {"id": "python/three_independent_target/55/9", "category": "python", "topology": "three_independent_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\": -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 = [-9, 38, 66, 53, -2, 55, 25, 8, 41, -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 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\nDefine task_2_input = {\"result\": [-49, 1, -34, 24, 97, 63, 28, 12, -64, 49]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [58, 64, 98, 70, 84, 11, -13, 59, -90, -13]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "165", "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\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,1156,576,9409,3969,784,144,2401,4096,2401]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":165}]"} {"id": "python/three_independent_target/55/10", "category": "python", "topology": "three_independent_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\": -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 = 13.\nDefine task_1_bound_static = 38.\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\nDefine task_2_input = {\"result\": -20}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 69, -89, 85, 32, -91, 27, -85, -40, -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 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\nDefine task_3_input = {\"result\": [-72, 34, -73, -26, 45, 87, 27, 72, 77, 31]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "16", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,14,-66,-54]},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":57},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":16}]"} {"id": "python/three_independent_target/55/11", "category": "python", "topology": "three_independent_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\": -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_y_static = 94.\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\nDefine task_2_input = {\"result\": -17}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 23, 25, -36, -82, 92, 64, 95, -62, 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\nDefine task_3_input = {\"result\": [-50, -48, 41, 49, 40, 68, 51, -5, 72, 50]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "126", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-61,32]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[81,23,25,-36,-82,92,64,95,-62,37]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":126}]"} {"id": "python/three_independent_target/55/12", "category": "python", "topology": "three_independent_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\": [-27, 13, -82, -93, 77, 57, -54, -12, 99, 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\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\nDefine task_2_input = {\"result\": [-46, -87, -60, 53, 52, 86, -26, -59, 82, 80]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-98, -99, -51, 66, 29, 61, 54, 75, 47, 78]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "86", "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\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":86}]"} {"id": "python/three_independent_target/55/13", "category": "python", "topology": "three_independent_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\": [74, -16, -41, 61, -70, 55, 11, -42, 48, -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_limit_static = 8.\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\nDefine task_2_input = {\"result\": [71, 80, 11, 54, 21, -92, 30, -91, -6, 78]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-89, 26, 21, 94, -4, -46, -78, 20, -16, -97].\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\nDefine task_3_input = {\"result\": [-63, 50, 28, 93, 33, 18, 34, 38, 69, 65]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "233", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[74,-16,-42,48,-70,55,11,-41,61,-11]},{\"node_id\":\"task_2\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":156},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":233}]"} {"id": "python/three_independent_target/55/14", "category": "python", "topology": "three_independent_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\": 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_skills_static = [-52, 32, 4, -50, -74, -76, 44, 30, 10, -88].\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\nDefine task_2_input = {\"result\": 26}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 86, -49, -35, -14, -32, 30, 59, -70, -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\nDefine task_3_input = {\"result\": [-5, 20, 67, 49, 1, 37, 37, -23, 38, -73]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "15", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-70,86,-49,-35,-32,-15,30,59,-14,-7]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":15}]"} {"id": "python/three_independent_target/55/15", "category": "python", "topology": "three_independent_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\": -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 = [3, -72, -59, 88, 47, -92, -53, 66, 30, -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 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\nDefine task_2_input = {\"result\": 50}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -26, 59, -14, -11, -58, -64, 28, 60, -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\nDefine task_3_input = {\"result\": [99, 80, 40, 23, -5, 89, 14, -37, -7, 57]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "116", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":88},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-64,-58,-26,-14,-11,-4,20,28,59,60]},{\"node_id\":\"task_3\",\"native_task_id\":55,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":116}]"} {"id": "python/three_independent_target/56/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-85, -6, 9, 92, -47, 53, 94, -80, -89, -77]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [4, -49, 18, -37, -32, 35, 54, 21, 5, -96]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "70", "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\":[-80,-6,94,92,-47,53,9,-85,-89,-77]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":70}]"} {"id": "python/three_independent_target/56/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [65, 10, 51, 65, 45, -87, -61, 58, -93, -14]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -84.\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\nDefine task_3_input = {\"result\": [1, -31, -34, 4, -68, -96, 28, 75, -92, 59]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "75", "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\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":316},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":75}]"} {"id": "python/three_independent_target/56/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 30}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -32, 94, -19, 88, 0, -14, -19, 77, 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\nDefine task_3_input = {\"result\": [-72, -3, -34, 47, -43, 16, -23, -45, -63, 56]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":22},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":56}]"} {"id": "python/three_independent_target/56/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -60}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 31, -31, 27, -71, -57, -35, 72, 54, -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\nDefine task_3_input = {\"result\": [-36, -17, -9, 53, 87, 84, 56, 46, -28, -68]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "230", "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\":[14,31,-31,27,-71,-57,-35,72,54,-48]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":230}]"} {"id": "python/three_independent_target/56/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-60, -99, 34, 46, -50, -80, 50, 24, -34, 72]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-68, 75, 25, 76, -73, -76, -79, -69, -100, 49]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "76", "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\":39,\"native_task_name\":\"getDescentPeriods:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":76}]"} {"id": "python/three_independent_target/56/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-24, -36, 51, -73, 10, 28, -68, -6, -68, -25]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-29, -12, -8, -73, -53, -38, 61, -61, -49, -32]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "61", "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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[187,127,142,120,57,95,55,19,93,186]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":61}]"} {"id": "python/three_independent_target/56/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -40}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [83, 11, -77, 0, 57, -98, -32, -7, 53, 48].\nDefine task_2_passengers_static = [53, 37, 60, -89, -91, 32, 83, -64, 81, -16].\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\nDefine task_3_input = {\"result\": [-85, -14, 10, -77, 85, -62, 72, -23, -31, -22]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "85", "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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":82},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":85}]"} {"id": "python/three_independent_target/56/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-90, 84, -19, 6, -57, -95, 67, -13, -73, -8]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [70, -7, -31, -53, 44, 63, -44, 100, 48, -2]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "88", "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\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":404},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":88}]"} {"id": "python/three_independent_target/56/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-70, -97, -21, -16, -73, 34, 11, -19, 47, -56]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-96, -95, -4, 26, 81, -52, 39, -26, -9, 39]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "81", "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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-70,-70,-21,-21,-21,11,11,11,11,-56]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":81}]"} {"id": "python/three_independent_target/56/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 22}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -91, 31, 24, 33, 48, -2, -54, 11, -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\nDefine task_3_input = {\"result\": [13, 47, -65, -22, -57, -96, -49, -4, -97, -36]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "47", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-2,-91,11,22,24,31,33,-54,48,-28]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":47}]"} {"id": "python/three_independent_target/56/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 95}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-46, -89, 47, 85, -26, 39, -42, 23, -82, 71]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "94", "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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":59},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":94}]"} {"id": "python/three_independent_target/56/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [74, -54, 77, -36, 24, -73, -8, 30, 94, 52]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, 49, 100, 92, 6, 80, 98, 74, -53, -7].\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\nDefine task_3_input = {\"result\": [75, -66, -39, 4, 47, 51, 76, -24, 60, 46]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "141", "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\":[-7,-53,74,98,80,6,92,100,49,-38,-54,77,-36,24,-73,-8,30,94,52]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":141}]"} {"id": "python/three_independent_target/56/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -19}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -79, -55, 15, -45, -71, -91, -28, -36, -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\nDefine task_3_input = {\"result\": [-2, -70, -73, -99, -95, 16, -10, 14, -24, -55]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "16", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[17,-79,-55,15,-45,-71,-91,-28,-36,-9]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":16}]"} {"id": "python/three_independent_target/56/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-28, -33, 7, 41, 3, -8, 51, 12, -52, 47]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [98, -7, -83, 30, 20, -58, 70, -23, 47, 2]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "98", "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\":15,\"native_task_name\":\"candy:list\",\"output_value\":19},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":98}]"} {"id": "python/three_independent_target/56/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-17, 22, -21, -28, -40, 8, -56, -58, -16, -24]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-74, 15, 13, -68, -68, -56, -90, 21, -35, 79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "79", "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\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,0,3,2,1,0,2,1,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":79}]"} {"id": "python/three_independent_target/56/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 67}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 91, -79, 39, 52, 72, -35, -95, 64, -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\nDefine task_3_input = {\"result\": [15, 62, 45, 80, 82, -80, 63, 91, -65, 34]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "180", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-95,-79,-35,-14,39,52,60,64,72,91]},{\"node_id\":\"task_3\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":180}]"} {"id": "python/three_independent_target/57/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [21, 80, 36, 40, 35, -77, 71, 80, 80, -65]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [90, -82, 31, -58, 73, -90, -89, -15, -37, -89]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "121", "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\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-65},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":121}]"} {"id": "python/three_independent_target/57/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-67, -38, -65, 72, 14, 25, -12, 85, -69, 72]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-69, 94, 96, 76, 90, 5, 33, -26, -2, -35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "399", "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\":[-67,-52,-51,20,20,19,19,19,19,72]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":399}]"} {"id": "python/three_independent_target/57/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [74, -91, -70, -45, 97, 60, 90, -90, -77, -96]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-30, 86, 4, -26, -56, 49, -23, 44, 67, 91]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "819", "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\":[-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\":819}]"} {"id": "python/three_independent_target/57/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-85, 50, 48, -80, -34, -31, 86, -73, 29, -35]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 25.\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\nDefine task_3_input = {\"result\": [-20, 7, 23, 86, 8, -38, -73, -75, 6, 36]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "474", "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\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":35},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":474}]"} {"id": "python/three_independent_target/57/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [43, -77, -93, -62, 57, -14, 18, 51, 3, -48]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 21.\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\nDefine task_3_input = {\"result\": [19, -89, 33, -31, 56, 15, 46, 47, 65, -68]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "452", "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\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":452}]"} {"id": "python/three_independent_target/57/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-39, -17, 82, 21, 24, 8, 8, -60, 35, -31]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-55, -62, -79, 77, -83, -61, 48, 27, -96, 85]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "765", "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\":[-17,82,-1,24,35,35,35,35,82,-17]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":765}]"} {"id": "python/three_independent_target/57/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -18}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-77, 25, 11, -93, 54, -65, 73, -56, 2, -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\nDefine task_3_input = {\"result\": [-86, -76, 42, 42, -81, -63, -2, 56, 90, -33]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "687", "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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":687}]"} {"id": "python/three_independent_target/57/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -84}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -63, 61, -98, 32, -95, -100, 55, 94, -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\nDefine task_3_input = {\"result\": [95, 90, -44, -68, -23, 37, 44, -51, 79, 87]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "786", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[86,-63,61,-98,32,-95,-100,55,94,-27]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":786}]"} {"id": "python/three_independent_target/57/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 43}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-62, -98, 13, -43, 80, 37, -88, 28, -82, -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\nDefine task_3_input = {\"result\": [11, -51, 34, -30, 92, 88, -54, -84, -77, -45]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "276", "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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":80},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":276}]"} {"id": "python/three_independent_target/57/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-76, 67, 31, -51, 2, -35, -25, -95, -81, -12]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, 94, 89, 26, 49, 66, 55, -90, -6, -27].\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\nDefine task_3_input = {\"result\": [45, -75, -83, 57, 67, 12, -88, -45, 77, 92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "828", "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\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":828}]"} {"id": "python/three_independent_target/57/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 24}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [58, 48, -94, 26, 76, -24, 37, -97, -84, 45].\nDefine task_2_passengers_static = [-24, 7, -14, -92, -30, -51, -36, -83, -44, -38].\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\nDefine task_3_input = {\"result\": [66, -86, -81, -73, 73, 41, 1, 11, -2, -44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "309", "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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":76},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":309}]"} {"id": "python/three_independent_target/57/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -66}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 12, -65, 20, -61, 33, -1, -73, 56, 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) -> 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\nDefine task_3_input = {\"result\": [-15, -22, 36, 16, 32, 6, 21, -72, -20, 97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":873}]"} {"id": "python/three_independent_target/57/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -30}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-23, -91, 99, 99, -42, -93, 84, 79, 74, 6].\nDefine task_2_capacityB_static = -19.\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\nDefine task_3_input = {\"result\": [-57, -60, 82, -63, 24, -46, -12, -52, -46, 72]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "668", "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\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":668}]"} {"id": "python/three_independent_target/57/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [83, -80, -61, 74, -47, -14, -19, -88, -16, -85]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-1, 56, -78, -1, 79, -56, -83, 56, -12, -86]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "386", "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\":[-1,-61,74,83,-14,83,-16,-16,83,83]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":386}]"} {"id": "python/three_independent_target/57/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -84}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [69, 36, -56, -18, 94, -52, -62, 71, 27, -31]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "585", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,48,-83,-37]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":585}]"} {"id": "python/three_independent_target/57/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [44, -57, -64, 55, -83, -92, -29, 49, -10, -14]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-42, 30, 31, 38, -19, -20, 50, 22, 23, -58]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "288", "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\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[55,55,55,-1,-29,-29,49,55,44,44]},{\"node_id\":\"task_3\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":288}]"} {"id": "python/three_independent_target/58/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-23, -47, 65, 60, 14, 16, -77, 89, -28, 18]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-25, 15, 37, -12, -45, 36, -57, 92, -81, 41]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -39.\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": "-39", "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\":[-23,-47,-77,89,18]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-39}]"} {"id": "python/three_independent_target/58/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 95}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -40, -41, 58, 41, -60, -75, -73, -36, -92].\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\nDefine task_3_input = {\"result\": [-76, 95, -29, 11, 11, 65, 54, 72, 44, 57]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "-35", "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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":105},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-35}]"} {"id": "python/three_independent_target/58/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [26, -13, 23, 55, -68, 52, -82, -32, 87, 73]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -32.\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\nDefine task_3_input = {\"result\": [-13, 84, -9, 37, 83, 68, -11, -56, 31, 28]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -89.\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": "-89", "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\":[26,-13,23,55,-68,52,-82,-32,87,73]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-89}]"} {"id": "python/three_independent_target/58/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-73, -53, -54, 89, -43, -74, 81, 31, -26, 46]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 82.\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\nDefine task_3_input = {\"result\": [10, 70, 8, 26, -92, 37, -98, 47, -89, 93]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -100.\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": "-100", "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\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":132},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-100}]"} {"id": "python/three_independent_target/58/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -17}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -77.\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\nDefine task_3_input = {\"result\": [34, -86, -63, 77, -5, 47, 34, 44, 82, 12]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 68.\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": "76", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-76,-16,-94]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":76}]"} {"id": "python/three_independent_target/58/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [2, -87, -32, -41, 76, -86, -72, 46, 21, -66]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -52.\nDefine task_2_initialExperience_static = 78.\nDefine task_2_experience_static = [-87, 21, -80, -12, -64, -75, 78, 57, -10, 74].\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\nDefine task_3_input = {\"result\": [89, -52, -81, -1, 60, 91, 75, -33, 68, -7]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-48},{\"node_id\":\"task_2\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":298},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-92}]"} {"id": "python/three_independent_target/58/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-74, -80, -4, 33, -85, 57, -73, -68, 72, -45]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-45, -7, -67, -68, 29, -68, -60, -56, -42, -83]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "85", "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\":[-74,-74,-4,-4,-14,-14,-68,-68,-45,-45]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":85}]"} {"id": "python/three_independent_target/58/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -64}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [78, 22, -77, -35, -55, -83, -68, -8, -59, -34].\nDefine task_2_capacityB_static = -48.\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\nDefine task_3_input = {\"result\": [-94, -11, -42, 69, -41, -98, -67, -83, -79, -64]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":139},{\"node_id\":\"task_2\",\"native_task_id\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":13}]"} {"id": "python/three_independent_target/58/8", "category": "python", "topology": "three_independent_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\": [1, -85, 85, -57, 6, 2, 55, -80, -1, -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.\nDefine task_1_nums2_static = [20, -74, 53, 65, -89, 67, -1, -61, -70, -5].\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\nDefine task_2_input = {\"result\": 66}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nDefine task_2_nums_static = [0, 6, 37, 77, 61, 40, 4, -28, 33, 0].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n n = len(nums)\n arr = sorted(zip(nums, range(n)))\n ans = [0] * n\n i = 0\n while i < n:\n j = i + 1\n while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n j += 1\n idx = sorted((k for (_, k) in arr[i:j]))\n for (k, (x, _)) in zip(idx, arr[i:j]):\n ans[k] = x\n i = j\n python_result_2 = ans\n return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nDefine task_3_input = {\"result\": [7, 43, 37, 57, -62, 73, 21, 68, -68, -6]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "-12", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":999999912},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-28,0,0,4,6,33,37,40,61,77]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-12}]"} {"id": "python/three_independent_target/58/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 99}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -46, -61, 71, 12, -59, 44, 77, -2, -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\nDefine task_3_input = {\"result\": [6, -95, -29, -62, 65, 52, 73, 60, -93, -4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 30.\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": "34", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-61,-59,-46,-39,-2,12,44,71,77,87]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":34}]"} {"id": "python/three_independent_target/58/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [97, -72, 57, 66, 48, -99, -77, 75, 6, -91]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-88, -89, -35, -83, -42, 73, -94, 27, -78, 89]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -91.\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": "-91", "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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[87,112,97,220,334,283,107,105,186,101]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-91}]"} {"id": "python/three_independent_target/58/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [38, -89, 97, -58, 74, -50, -83, 32, 78, 32]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 g = [1] * n\n for i in range(1, n):\n if list_2[i] > list_2[i - 1]:\n f[i] = f[i - 1] + 1\n ans = 0\n for i in range(n - 2, -1, -1):\n if list_2[i] > list_2[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_2 = ans\n return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nDefine task_3_input = {\"result\": [50, -85, 64, -48, -38, -86, -65, 54, 91, 28]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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\":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\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":23}]"} {"id": "python/three_independent_target/58/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -47}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [87, 1, 69, -93, -6, -94, 42, -34, 8, 69]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "-20", "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\":[2,69,-46,21]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-20}]"} {"id": "python/three_independent_target/58/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 45}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -11, 1, -17, 74, 93, -56, -90, -95, -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\nDefine task_3_input = {\"result\": [69, 64, -62, -42, -95, 81, -85, 79, 59, -51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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\":15},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[56,-95,-90,-56,74,93,-17,-11,-10,1]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-27}]"} {"id": "python/three_independent_target/58/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -93}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [32, -46, 96, -67, 17, -80, 22, 76, 72, 29].\nDefine task_2_capacityB_static = 27.\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\nDefine task_3_input = {\"result\": [-86, 26, -67, -20, -65, 85, 23, -44, 68, -98]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "78", "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\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":78}]"} {"id": "python/three_independent_target/58/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-1, 43, -92, -45, -41, 23, 42, -7, -71, -53]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [64, -37, -4, -30, 13, -17, -8, 94, 56, 55]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":286},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-1,-92,-45,-41,-71,-53]},{\"node_id\":\"task_3\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-23}]"} {"id": "python/three_independent_target/59/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-27, -50, -99, -43, -56, -52, 97, -44, 87, -50]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 65}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 55, 38, 18, -58, 81, 17, 69, 19, -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 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": "70", "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\":70}]"} {"id": "python/three_independent_target/59/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -85}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-19, -68, -28, 95, -100, 33, -49, -56, -50, -79].\nDefine task_2_passengers_static = [-31, 16, 17, 78, 45, -24, -91, 17, -42, -87].\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\nDefine task_3_input = {\"result\": 15}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -53, 47, 26, 55, 65, -42, 55, -48, 20].\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\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":95},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":17}]"} {"id": "python/three_independent_target/59/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-16, 60, 24, -86, 12, 46, -40, 46, 7, -41]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -81}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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": "-81", "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\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[49,2116,1600,2116,144,7396,576,3600,256,1681]},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-81}]"} {"id": "python/three_independent_target/59/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -26}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": -88}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-14, -79, 95, 76, 80, 6, -7, -75, 85, -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 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": "-88", "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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-26},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-88}]"} {"id": "python/three_independent_target/59/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-41, 83, -29, -7, -5, -8, 39, 0, -14, 40]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -70}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [26, 83, -28, -46, -35, 46, 78, 89, 88, 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 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": "-70", "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\":-70}]"} {"id": "python/three_independent_target/59/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 62}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 70, -35, 18, 89, 26, 42, 28, -13, -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\nDefine task_3_input = {\"result\": -86}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [36, 81, 20, -65, -33, 58, 13, 91, -95, -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 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": "-86", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-80,-35,-13,-4,18,26,28,42,70,89]},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-86}]"} {"id": "python/three_independent_target/59/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-21, -99, -20, -15, 43, -20, 23, 77, 99, 53]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -97}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-82, -52, 4, -70, 30, 63, 59, -98, 100, 57].\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": "-97", "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\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-20,-20,-99,-15,43,-21,23,77,99,53]},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-97}]"} {"id": "python/three_independent_target/59/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -51}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": 91}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-98, 69, 66, 34, 22, 64, 72, 9, -89, 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 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": "101", "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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-49},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":101}]"} {"id": "python/three_independent_target/59/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-30, -68, 78, -54, -48, -56, 29, -86, 94, -84]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -3}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [38, -3, 1, 35, -87, -33, 87, 55, 31, 15].\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": "-3", "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\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-3}]"} {"id": "python/three_independent_target/59/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [13, -82, 97, -25, -29, 89, 38, 96, -40, -85]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-84, -22, -31, -72, -81, -20, 3, 19, -44, 49].\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\nDefine task_3_input = {\"result\": -26}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 39, 12, -54, -43, 0, -69, 87, -20, -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 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": "-25", "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\":72},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-25}]"} {"id": "python/three_independent_target/59/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -11}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -94, -77, -11, 54, -69, -45, -19, 73, -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 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\nDefine task_3_input = {\"result\": -34}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [26, -1, 98, 84, -36, 50, -57, -64, -14, -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 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": "-34", "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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":73},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-34}]"} {"id": "python/three_independent_target/59/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [17, -17, -38, 68, -31, 29, 21, 87, 76, 30]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -95.\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\nDefine task_3_input = {\"result\": 90}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -36, 23, -72, 30, 64, -38, -40, 20, 27].\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": "100", "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\":3},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":100}]"} {"id": "python/three_independent_target/59/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-39, -35, 92, -79, 60, -84, -11, 76, -79, 64]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -16}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 15, -94, -37, -4, -56, -34, -6, 70, 98].\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\":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\":92},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-9}]"} {"id": "python/three_independent_target/59/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -39}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-75, -13, -96, 60, -46, -33, -44, -11, 93, -88].\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\nDefine task_3_input = {\"result\": 71}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 58, 27, -4, -40, -76, 45, 16, 83, 61].\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": "79", "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\":79}]"} {"id": "python/three_independent_target/59/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [21, -60, 44, -90, 24, 86, -51, 41, 59, -4]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 70.\nDefine task_2_initialExperience_static = -9.\nDefine task_2_experience_static = [-42, 74, -94, 61, 69, -43, 31, 49, -9, 53].\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\nDefine task_3_input = {\"result\": 90}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [25, -23, -54, 51, -54, -72, 43, -56, 39, -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 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": "100", "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\":134},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":100}]"} {"id": "python/three_independent_target/59/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-12, -95, 14, 12, -6, 36, -23, 97, 28, -9]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -60}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 14, -98, -40, -59, -48, 100, -80, 14, 21].\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": "-60", "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\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":24},{\"node_id\":\"task_3\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-60}]"} {"id": "python/three_independent_target/60/0", "category": "python", "topology": "three_independent_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\": [80, -91, 21, -4, -43, -20, -63, -55, -11, 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_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 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\nDefine task_2_input = {\"result\": [1, 70, 32, 36, 54, -26, -65, -95, -33, 12]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [2, 5, -54, 41, 67, -85, 41, -77, 17, 50]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":80},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,4900,1024,1296,2916,676,4225,9025,1089,144]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/60/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -43}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -40, 97, -52, -89, 66, -53, -55, -79, 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\nDefine task_3_input = {\"result\": [-100, 7, -14, 69, 67, -91, 6, -35, 45, -30]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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,-56,-41,95,57,-25,100,-84,91,33]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-61,-40,97,-52,-89,66,-53,-55,-79,22]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/60/2", "category": "python", "topology": "three_independent_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\": [-31, 36, -19, 29, 87, -8, 32, 94, -89, -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_passengers_static = [98, 76, 46, 25, 93, -86, -79, -71, -61, -13].\nDefine task_1_capacity_static = 60.\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\nDefine task_2_input = {\"result\": [-41, 28, 65, -73, -70, 22, -77, 53, 7, 90]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-88, 92, -28, 60, -2, -54, -64, -13, 6, 41]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "17", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":94},{\"node_id\":\"task_2\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":17}]"} {"id": "python/three_independent_target/60/3", "category": "python", "topology": "three_independent_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\": [-36, 45, 16, -21, -92, 4, 74, 40, 8, -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 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\nDefine task_2_input = {\"result\": 11}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-37, -1, 33, 75, 4, 58, 97, -30, 77, -47].\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\nDefine task_3_input = {\"result\": [65, -40, -99, 2, -38, -65, -60, 40, 42, -40]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-36,16,16,-21,-21,4,40,40,8,-90]},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":12}]"} {"id": "python/three_independent_target/60/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -81}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -78, -60, -26, -20, 12, -45, 95, -78, -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\nDefine task_3_input = {\"result\": [-28, -76, 30, -18, -30, 65, 72, -88, -91, -60]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "8", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[42,-78,-60,-26,-20,12,-45,95,-78,-9]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/60/5", "category": "python", "topology": "three_independent_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\": [1, -3, 7, -100, -37, 9, 59, 75, -5, 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 (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\nDefine task_2_input = {\"result\": -5}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-32, -68, -62, -97, 43, -96, -40, 66, 94, 60].\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\nDefine task_3_input = {\"result\": [-73, 34, 3, 19, 62, 73, 15, -56, 34, -56]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":99},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/60/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 54}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-22, -81, 97, 2, -35, 95, -38, 41, -94, -50]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "4", "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,-2,10,-26]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/60/7", "category": "python", "topology": "three_independent_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\": [55, -76, 27, 31, -79, 31, 47, -91, -40, -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 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\nDefine task_2_input = {\"result\": 29}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-19, -14, 18, 58, 91, -42, 85, 2, -24, 75]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-76,-79,-91,-40,-90]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-49,30,-21]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/60/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-13, 47, -22, -35, -98, 45, 23, -30, 27, 50]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-77, -95, 49, 3, 24, -46, -100, -38, 62, 90]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "50", "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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-13,-13,-22,-35,-35,23,23,23,27,50]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":50}]"} {"id": "python/three_independent_target/60/9", "category": "python", "topology": "three_independent_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\": -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 = [29, 15, 16, -53, -55, 79, 29, -23, 15, -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) -> 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\nDefine task_2_input = {\"result\": 51}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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\nDefine task_3_input = {\"result\": [-25, -37, 87, 39, 78, -47, 11, -64, 11, 79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":45},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-90,52,-40]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/60/10", "category": "python", "topology": "three_independent_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, -40, -61, -47, -35, 9, 41, -67, 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]) -> 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\nDefine task_2_input = {\"result\": [72, 43, 68, 50, -38, -40, -63, 14, 80, 24]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-46, -74, 69, 68, -16, -28, -60, -74, 58, -23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "5", "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\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[72,24,68,50,-38,-40,80,14,-63,43]},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/60/11", "category": "python", "topology": "three_independent_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\": 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 = [69, 93, 31, 65, 58, -53, 12, -6, -41, -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\nDefine task_2_input = {\"result\": [51, 61, 26, 49, 14, -73, -1, 9, 59, -10]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-37, 15, -100, -5, -84, 26, -28, -53, 61, 44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "23", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-53,-41,-25,-6,12,31,58,65,69,93]},{\"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\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":23}]"} {"id": "python/three_independent_target/60/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-58, 66, 47, 78, -22, 25, 65, 9, 15, -90]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 (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\nDefine task_3_input = {\"result\": [-75, 73, -93, -49, 96, 74, 10, 24, 45, -81]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/60/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [21, 3, -89, -97, 80, 13, 90, -55, 89, -5]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 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\nDefine task_3_input = {\"result\": [-56, 92, 52, -56, 75, 79, -18, -1, -31, 22]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "4", "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\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/60/14", "category": "python", "topology": "three_independent_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\": [60, -80, 26, 4, -52, 99, 79, 88, 50, 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\nDefine task_2_input = {\"result\": [-40, -89, -42, -23, -99, -94, -6, -30, -69, -28]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [9, 86, 99, 18, -68, -38, -21, 14, 27, 68]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[225,245,299,269,317,270,92,75,213,274]},{\"node_id\":\"task_2\",\"native_task_id\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":-6},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/60/15", "category": "python", "topology": "three_independent_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\": [-56, 17, -14, -87, 14, -1, -100, 86, 25, -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_nums2_static = [-33, -19, -35, -60, 55, 99, 52, -51, 19, 92].\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\nDefine task_2_input = {\"result\": 49}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-65, 86, -31, -91, 6, 93, 31, 22, -35, 59]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":262},{\"node_id\":\"task_2\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":49},{\"node_id\":\"task_3\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":13}]"} {"id": "python/three_independent_target/61/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [1, 2, 91, -15, -9, 18, 52, 96, 99, -85]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [46, -91, 15, 29, 20, -33, -14, 23, -5, 97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "999997913", "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\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999997913}]"} {"id": "python/three_independent_target/61/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 22}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [62, -84, -23, 55, 94, 9, -33, 25, 23, -71]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "999997704", "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\":[2,23]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999997704}]"} {"id": "python/three_independent_target/61/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-100, 73, -76, -53, 20, 99, -94, -100, -19, -29]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [32, 31, 3, -32, 10, -25, -13, -94, -8, -88]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "999997055", "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\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999997055}]"} {"id": "python/three_independent_target/61/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [35, -7, -63, -94, 83, 68, 23, -11, 15, -69]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-48, 84, -25, 13, 24, -35, 79, -78, 61, 18]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "999997609", "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\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999997609}]"} {"id": "python/three_independent_target/61/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -23}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 86, 2, 86, -98, -26, 63, 21, -95, 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) -> 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\nDefine task_3_input = {\"result\": [89, 17, 59, 85, 41, -67, -31, 41, 89, -8]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "999998571", "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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999998571}]"} {"id": "python/three_independent_target/61/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -68}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 8.\nDefine task_2_energy_static = [18, 40, -93, -93, -85, -28, 45, 34, 91, -100].\nDefine task_2_experience_static = [91, 70, -94, -35, -81, -39, 16, 24, 53, -14].\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\nDefine task_3_input = {\"result\": [-39, 34, -74, -8, 77, 97, -32, 96, -12, 91]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "999998041", "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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":97},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999998041}]"} {"id": "python/three_independent_target/61/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 14}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-58, -27, 92, 27, -80, 68, 41, 83, 74, 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 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\nDefine task_3_input = {\"result\": [51, -27, 46, -52, -47, -3, -27, -47, 54, -82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "999997408", "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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":16},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999997408}]"} {"id": "python/three_independent_target/61/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [69, 49, 60, 90, -20, 51, -38, -76, 61, -2]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [3, 30, -38, -36, -61, 11, -41, 94, -27, 14]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "999997632", "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\":[69,60,60,60,16,15,-38,-38,-2,-2]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999997632}]"} {"id": "python/three_independent_target/61/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [46, -52, -32, -17, -47, 58, -52, -49, 34, -30]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 (l, r) = (0, len(list_2) - 1)\n ans = 0\n while l < r:\n t = min(list_2[l], list_2[r]) * (r - l)\n ans = max(ans, t)\n if list_2[l] < list_2[r]:\n l += 1\n else:\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\nDefine task_3_input = {\"result\": [7, 89, 78, -5, -19, 94, 68, 39, -35, -67]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "999999235", "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\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":272},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999999235}]"} {"id": "python/three_independent_target/61/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 82}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 11, -45, -49, -83, 27, 43, -84, -57, -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\nDefine task_3_input = {\"result\": [-23, -90, 82, -19, -84, -67, -63, -85, -89, -53]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "999995646", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-84,-83,-62,-57,-49,-48,-45,11,27,43]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999995646}]"} {"id": "python/three_independent_target/61/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -4}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [7, -99, 77, 45, 70, -91, 61, 85, 19, 100].\nDefine task_2_capacityB_static = -10.\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\nDefine task_3_input = {\"result\": [11, 70, 62, -8, -85, -39, 55, 87, 12, 29]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "999997755", "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\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999997755}]"} {"id": "python/three_independent_target/61/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -33}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [31, -27, -24, 32, 23, 86, 11, -58, 27, -56]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "999998371", "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,-28,-32,-62]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999998371}]"} {"id": "python/three_independent_target/61/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [93, -78, 68, 32, -42, 99, -13, -55, 51, -73]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [8, 33, 74, 76, 8, 57, 16, 13, 94, -48]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "336", "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\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":575},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":336}]"} {"id": "python/three_independent_target/61/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [58, -63, 63, 42, 85, 16, 1, 37, 20, -35]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-65, -46, -68, 35, -97, -91, -99, 42, 86, 44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "999995925", "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\":[85,42,42,16,1,1,1,0,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999995925}]"} {"id": "python/three_independent_target/61/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-33, -57, -38, 91, 91, -68, 9, -99, -48, -60]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-5, -57, 24, -81, -20, 23, -37, -39, 1, -90].\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\nDefine task_3_input = {\"result\": [-14, -77, 0, 49, -31, 0, -68, -18, 63, 16]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "999997151", "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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-90,1,-39,-37,23,-20,-81,24,-57,-5,-33,-38,91,91,-68,9,-99,-48,-60]},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999997151}]"} {"id": "python/three_independent_target/61/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [66, 99, 45, 42, 37, -13, -76, -29, -28, 32]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 61.\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\nDefine task_3_input = {\"result\": [-8, -89, -43, -49, -25, 40, -65, -99, 97, 50]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "999996080", "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\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":10789},{\"node_id\":\"task_3\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999996080}]"} {"id": "python/three_independent_target/62/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 50}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 26, -60, -32, 59, -57, 43, -54, -52, -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\nDefine task_3_input = {\"result\": [-1, 36, 87, -9, -60, 46, 11, -46, -78, 45]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":178},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-84,26,-60,-57,43,-54,59,-52,-42,-32]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":12}]"} {"id": "python/three_independent_target/62/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 48}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -90, 81, -39, 93, 33, 27, 60, -48, 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\nDefine task_3_input = {\"result\": [-21, 12, -82, -50, 89, -98, -88, 93, -80, -39]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":93},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/62/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -80}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 36, -27, 34, -45, -92, 7, -17, -70, -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\nDefine task_3_input = {\"result\": [47, -46, -34, 12, -68, -64, -84, 30, 67, 35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":89},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-2,36,-27,34,-45,-92,7,-17,-70,-5]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/62/3", "category": "python", "topology": "three_independent_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\": [-11, -88, -32, -50, 8, -85, -69, -31, 75, -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.\nDefine task_1_nums2_static = [-28, -76, -70, -34, -36, -33, 38, 50, 74, -46].\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\nDefine task_2_input = {\"result\": [-60, 29, -59, 62, -82, -27, -21, -79, -64, -12]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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\nDefine task_3_input = {\"result\": [-80, 27, -88, -44, 12, 66, -42, -84, -76, -19]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":999999846},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-60,29,-59,62,-82,-27,-21,-79,-64,-12]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/62/4", "category": "python", "topology": "three_independent_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\": -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 = [97, 59, 90, 70, 11, -76, -95, -97, 46, -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\nDefine task_2_input = {\"result\": [-99, -65, 47, -67, -93, -47, 16, 3, 21, 0]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [98, -60, -52, 32, -79, -37, 81, -86, -17, -24]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[97,59,90,70,11,-76,-95,-97,46,-29]},{\"node_id\":\"task_2\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/62/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 51}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-1, -89, -48, 67, 6, -70, 88, -59, -49, 15].\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\nDefine task_3_input = {\"result\": [-91, 74, 15, -39, -33, 48, -15, 27, -66, -16]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":91},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/62/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -54}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -40, -36, 1, -10, 21, 35, -77, -15, -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 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\nDefine task_3_input = {\"result\": [10, -86, 93, -53, -5, -30, 38, 92, 85, -92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/62/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 75}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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\nDefine task_3_input = {\"result\": [-40, -81, 86, -74, -43, 47, -72, -40, -46, 44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-61]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/62/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 14}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -55.\nDefine task_2_energy_static = [-42, 52, -57, -67, 69, 66, -26, -73, -66, 74].\nDefine task_2_experience_static = [26, 72, 8, -13, 18, 99, -32, -93, 28, 58].\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\nDefine task_3_input = {\"result\": [97, 94, -60, -91, 89, 86, 39, 63, -52, 31]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":15},{\"node_id\":\"task_2\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":102},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/62/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -97}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-76, -61, 76, 51, 44, -57, 12, -64, 78, 21]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-97,-96,-195]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/62/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-67, 23, 97, 49, -34, 54, -18, 97, 36, 27]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-36, 74, 52, 42, 56, 13, -78, 86, -41, -80]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":3022},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/62/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [31, 45, -59, 73, -51, 24, 51, -45, 93, 41]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-71, -29, 25, -27, -91, -23, 17, 61, -20, 26]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/62/12", "category": "python", "topology": "three_independent_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\": [68, -30, -24, -99, 20, -31, -36, -83, 62, -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.\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\nDefine task_2_input = {\"result\": [-45, 13, -74, 89, -15, -33, 32, 83, -93, 54]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 45.\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\nDefine task_3_input = {\"result\": [18, 7, 70, 73, -68, -21, 11, -96, 79, -93]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[400,9801,576,900,961,1296,6889,3844,3481,4624]},{\"node_id\":\"task_2\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":640},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/62/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-14, 25, 34, -88, 19, -49, -98, 32, 79, 1]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [74, -45, -88, -31, -68, -60, -94, 41, -17, 44].\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\nDefine task_3_input = {\"result\": [43, 39, 3, -48, 69, -97, 63, 37, 27, 85]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":385},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,58,-20,-54,-119,-49,-109,-193,70,59,43]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/62/14", "category": "python", "topology": "three_independent_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\": 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 = 83.\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\nDefine task_2_input = {\"result\": -67}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-20, -44, -42, -39, -55, -60, 69, 42, -5, -86]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,84]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,8,50,-66,-60,-18]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/62/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 22}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 89, 35, 74, 59, -37, 67, 57, -15, -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\nDefine task_3_input = {\"result\": [-96, -48, 64, -98, -18, -94, -40, 69, -40, -28]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-75,35,57,59,67,-37,74,89,-15,-64]},{\"node_id\":\"task_3\",\"native_task_id\":62,\"native_task_name\":\"numFactoredBinaryTrees:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/63/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -54}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-62, -38, -85, -56, 69, 86, -92, -33, -64, 98]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,52,-53,-3]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/63/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [55, 93, 16, -97, 82, -17, -96, 46, -57, 56]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 4.\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\nDefine task_3_input = {\"result\": [99, -63, -26, -81, -34, -99, 50, -60, -41, -94]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":13},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[55,93,16,-97,82,-17,-96,46,-57,56]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/63/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [4, -53, 90, 6, 18, 37, 13, -73, -26, 82]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -61.\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\nDefine task_3_input = {\"result\": [19, -52, -100, 64, 23, 60, 49, 33, -86, -21]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":90},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/63/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 35}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [23, -4, -95, -64, 39, -62, -39, -72, -83, 12]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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,-95,36,-61]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/63/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [30, 13, 14, 34, -17, -58, 76, -95, 51, -73]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [81, -83, -60, 19, 33, -42, 76, -13, -1, -28]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":[-58,-95,-73]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/63/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [19, 24, -71, 10, -40, -36, 48, -87, 1, 91]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [98, -1, -72, -74, -34, 53, -69, -13, -25, -71]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[24,48,10,48,-36,48,91,1,91,-1]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/63/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-19, 70, -30, 42, 34, 57, 18, -33, -9, -15]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [60, 66, -71, -79, 84, -82, 45, -5, -86, -76]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[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\":[1,10,1,3,1,8,4,1,3,1]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/63/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -35}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-31, 70, 29, -71, -77, 29, -50, -83, 93, 69].\nDefine task_2_runningCost_static = 21.\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\nDefine task_3_input = {\"result\": [-27, 93, -77, 34, -89, 46, -89, -44, 99, -45]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-91,-20]},{\"node_id\":\"task_2\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/63/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 41}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 10, 97, -24, 40, -78, 22, -43, 9, 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\nDefine task_3_input = {\"result\": [65, 74, 26, -93, 81, -64, -76, -40, -18, 3]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-78,-43,94,-41,-24,9,10,22,40,97]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/63/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -14}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 77, -92, 61, 62, 90, 76, -11, 40, -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) -> 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\nDefine task_3_input = {\"result\": [-39, -5, 53, 36, -25, -86, -32, 98, -11, 1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":15,\"native_task_name\":\"candy:list\",\"output_value\":18},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":150},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/63/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [59, 1, 86, -9, -89, -99, 4, -41, 10, 2]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 80.\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\nDefine task_3_input = {\"result\": [21, 78, 45, 63, 99, 92, 28, 56, 48, -44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-40,-80,-53]},{\"node_id\":\"task_2\",\"native_task_id\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":90},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/63/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [49, -95, -92, 28, -34, -45, 15, -92, 16, -11]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-42, -22, 39, 7, 91, -78, -76, 20, 79, -42]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10},{\"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\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/63/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-62, -61, 83, -68, -78, 36, -16, -98, -38, -9]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [19, -82, 78, -73, 100, 63, 3, -64, -16, 16]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[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\":[-62,-61,-61,-68,-68,-16,-16,-38,-38,-9]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/63/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [84, -99, -92, -23, 96, 54, 22, 63, -60, 9]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [87, 60, -86, -62, -78, -25, 99, -44, 14, 48]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":[4,1,1,1,2,2,1,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/63/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [0, 57, 71, 50, 6, -29, -14, 81, 80, 92]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [77, 2, 98, -73, 38, 34, 80, -16, 59, 4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/63/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [84, -31, -47, 39, 56, 41, 27, 10, 13, -32]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [39, -38, 77, 47, -24, 77, -41, 54, -19, 72]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":[76,23,101,109,14,83,151,188,211,192]},{\"node_id\":\"task_3\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/64/0", "category": "python", "topology": "three_independent_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\": [80, -39, -56, 46, -45, 20, 18, 87, 59, 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 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\nDefine task_2_input = {\"result\": 72}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 70, -13, -68, -5, -21, -40, -20, -3, -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 (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\nDefine task_3_input = {\"result\": [65, -1, -67, -79, 43, 13, -21, 25, 40, -69]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":185},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/64/1", "category": "python", "topology": "three_independent_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\": 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 = [76, 90, -22, 72, 97, 69, -87, 22, -33, -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) -> 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\nDefine task_2_input = {\"result\": [-11, -5, 58, 63, -47, -13, 25, 31, -31, 55]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 49.\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\nDefine task_3_input = {\"result\": [25, -43, 9, -99, -87, 69, -48, -19, -17, 99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":55},{\"node_id\":\"task_2\",\"native_task_id\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/64/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -18}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 18.\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\nDefine task_3_input = {\"result\": [80, -27, -91, 89, -49, 4, -39, -46, -86, 87]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 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\":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\":110}]"} {"id": "python/three_independent_target/64/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-43, 48, -30, 4, 75, -74, -81, -46, -97, 85]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [34, -94, -95, -15, 83, 44, 52, 7, 0, 44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":[-8,-6,-4,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/64/4", "category": "python", "topology": "three_independent_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\": [46, 19, -33, 18, 44, -12, 53, -97, -92, 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 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\nDefine task_2_input = {\"result\": 28}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-72, -76, -4, 84, 9, -68, -48, 32, 43, 69]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":14},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/64/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-28, 35, -10, 93, -48, 43, -56, -54, 91, 83]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-41, 82, -18, -72, 42, 45, 45, -73, -98, -35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -24.\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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-70,69,-3]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,2,1,0,1,3,1,1,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/64/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-59, 79, -69, 52, 83, 29, 32, -84, -85, 42]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [33, -16, -95, -36, 5, -91, -15, -39, 44, 90]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -32.\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\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/64/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -93}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [47, 63, -69, -38, -96, 57, -20, -2, 54, -40]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,43,-92,-51]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/64/8", "category": "python", "topology": "three_independent_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\": [70, 87, -33, -72, 11, 37, -88, -43, -88, -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_arr2_static = [28, -55, 50, 19, 74, 73, -89, 29, 17, 34].\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\nDefine task_2_input = {\"result\": [-54, -98, 2, 48, -14, 5, 22, -23, -44, -6]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [71, 61, -97, -44, -46, -71, 62, -83, -10, 4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,95,29,15,-54,82,108,-177,-14,-71,-58]},{\"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\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/64/9", "category": "python", "topology": "three_independent_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\": 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 = -5.\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\nDefine task_2_input = {\"result\": -98}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -16.\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\nDefine task_3_input = {\"result\": [55, -7, -71, 23, 65, 70, -21, -14, -26, -2]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -19.\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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-4,26,-124]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-15,-97,-114]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/64/10", "category": "python", "topology": "three_independent_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\": -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 = [-37, 93, -100, -49, -41, 67, 97, -28, 8, -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\nDefine task_2_input = {\"result\": 79}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-86, 61, -8, 68, -12, -73, 28, 87, -89, -100]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-37,93,-100,-49,-41,67,97,-28,8,-86]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-39]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/64/11", "category": "python", "topology": "three_independent_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\": [67, -49, 61, 94, 27, 13, -84, -84, 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 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\nDefine task_2_input = {\"result\": 43}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -92, 35, 80, 47, -19, -37, 81, 90, 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\nDefine task_3_input = {\"result\": [-81, -61, 100, 26, -12, 46, -59, -93, -37, -67]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -30.\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\":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,-92,-19,12,35,47,80,81,90,90]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/64/12", "category": "python", "topology": "three_independent_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\": [62, 91, -61, 81, 17, 12, 79, 21, 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]) -> 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\nDefine task_2_input = {\"result\": [99, -88, 60, -86, 24, 28, 91, 3, -10, 28]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [41, -72, -62, 17, -84, 91, 86, 54, 7, -77]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[62,60,12,81,17,-61,79,21,91,-19]},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-7,-5,-3,-1,1,2,4,6,8,9]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/64/13", "category": "python", "topology": "three_independent_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\": -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 = -55.\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\nDefine task_2_input = {\"result\": 60}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-53, -32, -60, -7, -53, -33, 52, 42, -13, -35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -98.\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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-54,-48,-104]},{\"node_id\":\"task_2\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":59},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/64/14", "category": "python", "topology": "three_independent_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\": [23, -76, -88, -99, -6, -96, -63, 100, -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 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\nDefine task_2_input = {\"result\": [79, 55, 90, 30, 14, -70, 85, -35, -91, -46]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [40, -99, -55, 59, -87, -63, -67, 23, -89, 42].\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\nDefine task_3_input = {\"result\": [-94, 23, -5, -100, -14, -42, -64, 34, 46, 27]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[42,-89,23,-67,-63,-87,59,-55,-99,40,79,55,90,30,14,-70,85,-35,-91,-46]},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/64/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-90, -16, 45, 53, -14, -32, -83, -68, 2, -93]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -35.\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\nDefine task_3_input = {\"result\": [52, 8, 17, -98, 30, -21, 97, 27, -53, -11]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":22},{\"node_id\":\"task_3\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110}]"} {"id": "python/three_independent_target/65/0", "category": "python", "topology": "three_independent_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\": [-48, 8, -5, -42, -66, 66, 34, 12, 17, 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 (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\nDefine task_2_input = {\"result\": -57}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 30, 16, -98, 63, 72, -12, 97, 98, -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\nDefine task_3_input = {\"result\": -8}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -82, 98, -6, -3, 14, 20, -94, -35, -97].\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\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":12},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[35,30,16,-98,63,72,-12,97,98,-17]},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/65/1", "category": "python", "topology": "three_independent_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\": 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_y_static = 35.\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\nDefine task_2_input = {\"result\": 33}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -71, -70, -25, 38, -75, 60, -69, -7, 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) -> 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\nDefine task_3_input = {\"result\": -80}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [87, -30, -34, 47, -51, 30, -92, -2, -35, -92].\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\":[2,36,45]},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":92},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/65/2", "category": "python", "topology": "three_independent_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\": -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 = [-43, 85, 72, 34, -51, -50, 45, 3, -46, -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 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\nDefine task_2_input = {\"result\": [30, 38, -7, 97, 71, 97, -58, -35, 5, 86]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-6, -98, 88, 13, -41, -96, -80, -95, 58, 42].\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\nDefine task_3_input = {\"result\": -33}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-29, 1, 91, -92, -8, -62, 36, 87, -83, 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 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\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":40},{\"node_id\":\"task_2\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/65/3", "category": "python", "topology": "three_independent_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\": -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 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\nDefine task_2_input = {\"result\": [-41, 77, -72, -20, -99, 73, 13, -17, -96, 30]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -48}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -3, -41, 53, 52, 9, 98, 61, 69, 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": "110", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-69},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-41,-99,-96,30]},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/65/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-18, 4, 56, -82, 90, -80, 96, -18, 74, -67]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [17, 61, -79, -67, -3, -28, -77, -30, -66, 56].\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\nDefine task_3_input = {\"result\": -32}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 68, -76, 71, -86, 53, 38, -8, 79, -43].\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\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/65/5", "category": "python", "topology": "three_independent_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\": 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_skills_static = [-73, 36, 18, -73, -8, -12, -91, -42, 58, -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\nDefine task_2_input = {\"result\": 49}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": -99}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -74, 56, 55, -28, 22, -43, 10, -60, -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 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\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,19,50,67]},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/65/6", "category": "python", "topology": "three_independent_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\": -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_arr_static = [9, 14, 35, 88, -58, -22, -70, 83, -7, 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\nDefine task_2_input = {\"result\": [-57, -59, -92, -1, 10, -10, -39, 34, -82, 42]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-68, -100, -59, 44, 94, -56, 14, 23, -46, -20].\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\nDefine task_3_input = {\"result\": -71}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -76, -6, 55, -27, -45, 78, -76, 90, -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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":300},{\"node_id\":\"task_2\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":-60},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/65/7", "category": "python", "topology": "three_independent_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\": [7, 9, 11, 70, 15, -29, -8, 20, -3, -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 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\nDefine task_2_input = {\"result\": [-12, -31, -4, -38, -18, -71, -87, 62, -59, -97]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -9}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [74, 74, -93, -36, 55, 12, 93, 70, -100, 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) -> 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\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,1,1,0,3,1,1,0,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1,7,1,4,2,1,10,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/65/8", "category": "python", "topology": "three_independent_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\": -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 = 37.\nDefine task_1_bound_static = 79.\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\nDefine task_2_input = {\"result\": 73}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-17, -16, -34, 32, 31, -60, 75, 9, -59, -4].\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\nDefine task_3_input = {\"result\": -1}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -24, 74, 33, 40, 49, 26, -79, -47, -58].\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\":[2,38,-59,-23]},{\"node_id\":\"task_2\",\"native_task_id\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/65/9", "category": "python", "topology": "three_independent_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\": [-15, 44, -21, 62, -44, -35, -45, 62, -38, 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]) -> 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\nDefine task_2_input = {\"result\": [34, -67, -38, 93, 27, 65, 84, -55, 31, 69]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -56}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [64, -54, 70, 27, -86, -19, 83, -3, -81, -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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-15,44,62,62,18]},{\"node_id\":\"task_2\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/65/10", "category": "python", "topology": "three_independent_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\": [52, -47, -99, 39, 23, -22, -43, -13, -98, -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 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\nDefine task_2_input = {\"result\": [84, 23, 44, -3, -84, -93, 30, 82, 29, 56]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -46}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [73, 96, 77, -96, 36, 12, 91, 99, -32, -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\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-1,39,39,52,52,-13,-13,52,-25,52]},{\"node_id\":\"task_2\",\"native_task_id\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":110},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/65/11", "category": "python", "topology": "three_independent_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\": -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_tokens_static = [-79, 11, 34, 40, 88, -19, -6, -75, -85, -80].\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\nDefine task_2_input = {\"result\": -54}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": -64}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-27, 76, 43, 79, -23, -87, -63, -33, -37, 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 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\":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,-65,-53,-120]},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/65/12", "category": "python", "topology": "three_independent_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\": [-65, 85, -87, 95, -16, -13, 2, -87, 64, 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]) -> 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\nDefine task_2_input = {\"result\": [-22, -83, -33, 93, -58, 32, -34, 98, -91, 22]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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_passengers_static = [62, -25, -100, -22, -43, -97, 15, 8, -82, 87].\nDefine task_2_capacity_static = -67.\nTrace the execution of task_2 with inputs passengers = task_2_passengers_static, capacity = task_2_capacity_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], passengers: List[int], capacity: int) -> int:\n list_2.sort()\n passengers.sort()\n j = 0\n for t in list_2:\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_2[-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\nDefine task_3_input = {\"result\": -49}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -43, -26, -97, -80, -33, 46, -93, 26, -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 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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-65,-87,95,64,73]},{\"node_id\":\"task_2\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":98},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/65/13", "category": "python", "topology": "three_independent_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\": [48, -42, 79, 24, -30, -32, -20, -64, -83, -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 (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\nDefine task_2_input = {\"result\": [27, -23, 98, 56, -27, 92, -1, -47, -12, 10]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -33}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 53, 37, -7, 98, -95, 77, 16, -5, 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\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-83},{\"node_id\":\"task_2\",\"native_task_id\":29,\"native_task_name\":\"findMin:list\",\"output_value\":-27},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/65/14", "category": "python", "topology": "three_independent_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\": [56, -48, -99, 20, -92, 97, -12, 0, -10, -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\nDefine task_2_input = {\"result\": 14}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": -71}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -72, 80, -17, 100, -92, -6, -61, 88, -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\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[97,20,20,97,97,-1,0,56,56,56]},{\"node_id\":\"task_2\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":41},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/65/15", "category": "python", "topology": "three_independent_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}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [57, -85, -77, 57, -79, 68, 61, -4, 4, 33].\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\nDefine task_2_input = {\"result\": [4, -96, 12, 34, -31, -48, -36, -73, 71, -82]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-24, 58, 15, 11, 2, 11, 17, 100, -30, 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\nDefine task_3_input = {\"result\": -94}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 9, -13, -49, 61, 62, 53, -5, 1, -58].\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\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":262},{\"node_id\":\"task_3\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/66/0", "category": "python", "topology": "three_independent_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\": -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 = [7, 29, -25, -8, 66, 3, 1, -53, -45, -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) -> 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\nDefine task_2_input = {\"result\": [-68, -65, -89, 8, -58, -62, 43, 16, -33, -8]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -47.\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\nDefine task_3_input = {\"result\": [-19, 38, -22, 100, -67, -10, -31, -94, -93, 65]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":43},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/66/1", "category": "python", "topology": "three_independent_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\": [-86, 75, 21, -88, -53, 19, -91, 52, 26, 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, 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\nDefine task_2_input = {\"result\": [-69, -18, -86, 19, 38, -47, 4, -88, 7, 80]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [68, -29, -68, -10, -37, 21, -24, 42, -82, -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\nDefine task_3_input = {\"result\": [-99, -50, -40, 15, 55, 31, -14, -94, 95, 50]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,-47,-155,7,1,-26,-20,-46,-75,-4]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/66/2", "category": "python", "topology": "three_independent_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\": [27, 8, -47, -16, -12, 8, 96, 72, -93, -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 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\nDefine task_2_input = {\"result\": 86}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -17, 84, 6, -12, 78, -58, 54, 87, -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\nDefine task_3_input = {\"result\": [-63, 31, 83, -48, -52, -44, 28, -33, 62, 33]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":459},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-74,-58,-21,-17,-12,6,54,78,84,87]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/66/3", "category": "python", "topology": "three_independent_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\": 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_skills_static = [-51, -69, -96, -98, 62, 62, 13, 56, -70, 60].\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\nDefine task_2_input = {\"result\": -68}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -95, -82, -65, -87, 39, -2, 77, -22, -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\nDefine task_3_input = {\"result\": [-89, 32, -89, 32, 68, 90, 4, 71, -65, -75]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":4},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[80,-95,-82,-65,-87,39,-2,77,-22,-24]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/66/4", "category": "python", "topology": "three_independent_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\": 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_y_static = 14.\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\nDefine task_2_input = {\"result\": 32}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-85, -28, 46, -83, 68, 20, 67, 86, 3, 3]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[2,15,71,84]},{\"node_id\":\"task_2\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/66/5", "category": "python", "topology": "three_independent_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\": 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, 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\nDefine task_2_input = {\"result\": -82}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [81, -82, -93, 76, -92, -65, 21, 48, 85, 89]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":14},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-88,-81,-171]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/66/6", "category": "python", "topology": "three_independent_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\": 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 = [-10, 17, 99, 19, 72, 71, 56, -56, -40, -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\nDefine task_2_input = {\"result\": 100}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-95, -91, -22, -1, 79, 18, -91, 66, -8, 35].\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\nDefine task_3_input = {\"result\": [-89, -84, 8, 22, -52, -58, -81, 87, 17, -89]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-13,17,99,19,71,72,56,-56,-40,-10]},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":99},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/66/7", "category": "python", "topology": "three_independent_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\": [-70, 6, 11, -30, -93, -84, -11, 44, -57, -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 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\nDefine task_2_input = {\"result\": -66}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-2, -99, 15, -95, -40, -15, -67, -25, -58, 26]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[44,11,-11]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-30,-65,-97]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/66/8", "category": "python", "topology": "three_independent_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\": -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 = [-19, 0, -97, -100, 0, 85, 40, 51, -60, -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\nDefine task_2_input = {\"result\": [-14, -64, -9, -62, 32, -62, -5, 18, -56, -12]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-82, -12, -17, 69, 11, -50, 1, 59, 30, -58]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-19,0,-97,-100,0,85,40,51,-60,-21]},{\"node_id\":\"task_2\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/66/9", "category": "python", "topology": "three_independent_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\": [-92, 98, 8, 90, 79, 94, 89, -77, 51, -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 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\nDefine task_2_input = {\"result\": [28, -82, 48, 95, 9, -65, 72, -63, 2, 48]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-81, 43, -100, 13, 58, 41, -28, -62, 9, 70]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-92,98,8,90,79,94,89,51]},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[28,-82,48,48,2,72,-65,-63,9,95]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/66/10", "category": "python", "topology": "three_independent_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\": [-73, 13, -62, 63, 77, -33, -35, 22, 38, -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 = [41, -66, -98, -70, 39, -44, 33, 87, 93, 5].\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\nDefine task_2_input = {\"result\": 88}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -25, -80, -86, 68, 64, 90, -6, -25, 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) -> 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\nDefine task_3_input = {\"result\": [-89, -96, 35, 66, 17, 45, -92, -90, -21, 79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/66/11", "category": "python", "topology": "three_independent_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\": -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_plants_static = [-9, -19, -33, -79, 67, 43, -9, -10, 20, -25].\nDefine task_1_capacityB_static = -96.\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\nDefine task_2_input = {\"result\": -11}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -88, -42, -79, 39, -6, 68, -94, 98, 0].\nTrace the execution of task_2 with inputs nums = task_2_nums_static.\n```python\nfrom typing import List\ndef task_2(nums: List[int], val_2: int) -> List[int]:\n n = len(nums)\n arr = sorted(zip(nums, range(n)))\n ans = [0] * n\n i = 0\n while i < n:\n j = i + 1\n while j < n and arr[j][0] - arr[j - 1][0] <= val_2:\n j += 1\n idx = sorted((k for (_, k) in arr[i:j]))\n for (k, (x, _)) in zip(idx, arr[i:j]):\n ans[k] = x\n i = j\n python_result_2 = ans\n return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nDefine task_3_input = {\"result\": [-68, 22, 64, 5, 16, -43, -31, 46, 58, 56]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":6},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-39,-88,-42,-79,39,-6,68,-94,98,0]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/66/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -2}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -42, -94, 95, 57, -11, -72, 67, -28, -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) -> 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\nDefine task_3_input = {\"result\": [-90, -85, 56, -12, -39, -98, 8, -45, 24, 60]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/66/13", "category": "python", "topology": "three_independent_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\": -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 = [2, -52, 61, 13, -51, 100, -80, 32, -46, 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) -> 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\nDefine task_2_input = {\"result\": [1, 64, 56, 88, -69, 59, -54, 94, 99, -79]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-18, -36, -62, -62, -84, -69, -12, 42, 71, 37]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/66/14", "category": "python", "topology": "three_independent_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\": [-41, -72, -51, -12, -27, 5, -6, -98, 74, 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 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\nDefine task_2_input = {\"result\": -83}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -91, -70, -90, -47, -97, -43, 72, -80, 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\nDefine task_3_input = {\"result\": [27, -24, -77, 31, -44, -46, -81, 42, 59, 34]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[3,1,1,2,1,3,2,1,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[38,-91,-70,-90,-47,-97,-43,72,-80,80]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/66/15", "category": "python", "topology": "three_independent_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\": [47, -99, -27, 72, -77, 55, -71, 25, 30, -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 = [98, 49, 33, 67, 12, -11, 2, -15, -61, 93].\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\nDefine task_2_input = {\"result\": -94}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -51, -82, -70, 37, -93, -60, 93, 62, 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\nDefine task_3_input = {\"result\": [-85, 69, 18, 45, 19, 40, -56, 13, -7, -22]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[93,-61,-15,2,-11,12,67,33,49,98,47,-99,-27,72,-77,55,-71,25,30,-89]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[86,-51,-82,-70,37,-93,-60,93,62,59]},{\"node_id\":\"task_3\",\"native_task_id\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/67/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -64}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [26, 65, 22, -92, 19, -33, 51, -16, -58, 0].\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\nDefine task_3_input = {\"result\": [-2, 8, -6, -83, -19, -69, 76, -28, 23, -19]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-478", "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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-64},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-478}]"} {"id": "python/three_independent_target/67/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -69}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-24, -25, 13, -73, 56, 17, 60, 58, -82, 80]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-304", "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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-96},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-304}]"} {"id": "python/three_independent_target/67/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [43, 100, 78, 47, 83, 66, 57, 16, 94, 49]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [17, 37, 32, 65, -8, 13, 88, -5, 73, -52]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "54", "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\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[94,66,57,47,47,16,16,16,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":54}]"} {"id": "python/three_independent_target/67/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-69, -60, -31, 14, 97, -87, -38, 79, 100, 19]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-81, -92, -27, 69, 72, 65, 15, -69, -97, 42]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-253", "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\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":97},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-253}]"} {"id": "python/three_independent_target/67/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [74, -79, 50, 10, 97, -37, -2, 24, 25, 86]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [39, 76, -39, -16, -64, -27, -78, 8, 5, 17]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-403", "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\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-173},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-403}]"} {"id": "python/three_independent_target/67/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-33, -50, -40, 49, 3, 70, -14, 14, 63, -13]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 47.\nDefine task_2_initialExperience_static = 86.\nDefine task_2_experience_static = [-7, 94, 74, -17, 10, -49, 77, 77, 86, 11].\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\nDefine task_3_input = {\"result\": [67, 67, 17, -5, 7, -50, -59, 22, -22, -15]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-145", "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\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":19},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-145}]"} {"id": "python/three_independent_target/67/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-88, 41, -97, 7, 38, -78, -83, 66, 16, 88]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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_capacityA_static = -9.\nDefine task_2_capacityB_static = -41.\nTrace the execution of task_2 with inputs capacityA = task_2_capacityA_static, capacityB = task_2_capacityB_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], capacityA: int, capacityB: int) -> int:\n (a, b) = (capacityA, capacityB)\n ans = 0\n (i, j) = (0, len(list_2) - 1)\n while i < j:\n if a < list_2[i]:\n ans += 1\n a = capacityA\n a -= list_2[i]\n if b < list_2[j]:\n ans += 1\n b = capacityB\n b -= list_2[j]\n (i, j) = (i + 1, j - 1)\n ans += i == j and max(a, b) < 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\nDefine task_3_input = {\"result\": [80, 24, 84, -21, 70, 3, -47, 17, 42, 87]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-119", "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\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-119}]"} {"id": "python/three_independent_target/67/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -58}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -100, -92, 99, 96, 97, -85, 48, 18, 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) -> 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\nDefine task_3_input = {\"result\": [73, 18, -72, 46, -31, 37, 47, 70, -27, -27]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-178", "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\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":149},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-178}]"} {"id": "python/three_independent_target/67/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-40, -59, -72, -67, 14, 36, -32, 15, 77, 6]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [33, 88, 21, -21, -22, 21, -64, 32, 81, -64]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-179", "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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-179}]"} {"id": "python/three_independent_target/67/9", "category": "python", "topology": "three_independent_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}.\nTask 1:\nLet val_1 be the result of preprocessing task_1_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 85.\nDefine task_1_bound_static = 76.\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\nDefine task_2_input = {\"result\": -28}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [36, -17, -25, 21, 79, 1, -77, 5, -76, -44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-282", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,53]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,36,-27,7]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-282}]"} {"id": "python/three_independent_target/67/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -62}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [89, 44, 93, -18, 15, -51, 100, -39, -79, -19]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-166", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-61,22]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-166}]"} {"id": "python/three_independent_target/67/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 84}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -51, -38, 93, 67, 3, -97, -44, 55, -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\nDefine task_3_input = {\"result\": [-53, 10, 24, 42, -82, -32, 69, -54, 96, 15]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-461", "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,-77,-69,-51,-44,-38,3,55,67,93]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-461}]"} {"id": "python/three_independent_target/67/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -10}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 45, 81, 22, -6, 35, -55, 99, -45, -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 (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\nDefine task_3_input = {\"result\": [-71, 8, -8, -45, -98, -30, -51, 75, -67, -53]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-651", "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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-651}]"} {"id": "python/three_independent_target/67/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -11}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [28, -89, -36, 92, -19, 47, -98, 34, -91, -73]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-552", "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\":[2,62,-10,50]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-552}]"} {"id": "python/three_independent_target/67/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -1}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 40, -25, -1, 60, 26, 97, -15, 54, 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\nDefine task_3_input = {\"result\": [29, -66, -4, 87, 66, 66, 90, -16, -32, 99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "72", "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\":[-21,40,-25,-1,60,26,97,-15,54,70]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":72}]"} {"id": "python/three_independent_target/67/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [53, -53, -24, 8, -86, 64, -38, -67, -45, 14]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-66, 75, -25, 8, -59, -39, 66, -12, 74, 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\nDefine task_3_input = {\"result\": [-67, -41, 12, 8, -24, -72, 93, 74, -65, -61]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "-395", "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\":[37,74,-12,66,-39,-59,8,-25,75,-66,53,-53,-24,-86,64,-38,-67,-45,14]},{\"node_id\":\"task_3\",\"native_task_id\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-395}]"} {"id": "python/three_independent_target/68/0", "category": "python", "topology": "three_independent_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\": [19, 66, -81, -80, -85, -87, 37, 37, -63, 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 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\nDefine task_2_input = {\"result\": [-98, 59, 6, 96, 84, 43, 64, 8, 84, 19]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [89, 82, -95, -82, 31, -30, 33, -73, 77, -2]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "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\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":96},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":19}]"} {"id": "python/three_independent_target/68/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [58, 70, -66, 19, -4, -81, -14, 10, 28, -62]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [73, -55, -45, -3, -59, -27, 33, 79, -44, 95]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-81,-14,-62]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":647}]"} {"id": "python/three_independent_target/68/2", "category": "python", "topology": "three_independent_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\": 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_plants_static = [-67, 58, -29, 97, 37, -91, 17, -56, 31, 6].\nDefine task_1_capacityB_static = -63.\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\nDefine task_2_input = {\"result\": 71}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-83, -23, -89, 8, -10, 49, 45, 12, 50, 70].\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\nDefine task_3_input = {\"result\": [55, 37, 36, -17, -2, 28, -24, 87, -8, -40]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "179", "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\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":179}]"} {"id": "python/three_independent_target/68/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 56}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -43, -92, -75, 37, 86, 82, 69, 67, -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\nDefine task_3_input = {\"result\": [55, -84, -56, 26, -81, -14, 29, 14, 11, -85]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "191", "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\":[-92,-75,-54,-43,1,37,67,69,82,86]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":191}]"} {"id": "python/three_independent_target/68/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 19}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-75, -87, 48, -91, 85, -74, -38, 87, 61, -53]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "1439", "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]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":1439}]"} {"id": "python/three_independent_target/68/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-17, 17, -55, -78, -3, 42, 73, -79, -50, -99]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-15, -61, -80, 24, -83, -26, 29, -17, -54, -55]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "1619", "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\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":4851},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":1619}]"} {"id": "python/three_independent_target/68/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 68}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 87, -33, 78, 60, -67, -7, 45, -10, 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\nDefine task_3_input = {\"result\": [79, -97, -3, -2, -78, 76, 78, -98, -4, 86]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "629", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-67,-33,-10,-7,22,34,45,60,78,87]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":629}]"} {"id": "python/three_independent_target/68/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -43}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 40, 8, 45, 31, -59, -2, -64, 45, -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) -> 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\nDefine task_3_input = {\"result\": [11, 23, -43, -34, -91, 10, 60, 92, 67, -64]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":755}]"} {"id": "python/three_independent_target/68/8", "category": "python", "topology": "three_independent_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\": [7, -19, -13, -1, 46, -13, 34, -32, 5, -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 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\nDefine task_2_input = {\"result\": 14}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-84, -58, -51, 78, 67, -39, 1, -68, 73, -20].\nDefine task_2_passengers_static = [88, 12, 83, -6, 29, 43, 63, 20, 79, 53].\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\nDefine task_3_input = {\"result\": [-53, 88, -7, -71, -15, -83, 19, -19, 33, -41]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "359", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":2556},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":78},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":359}]"} {"id": "python/three_independent_target/68/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [16, -66, 40, -57, -87, 97, -63, 48, 36, -85]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -81.\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\nDefine task_3_input = {\"result\": [34, -4, -6, -74, 63, -2, 54, -66, 69, -89]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "1679", "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\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":1679}]"} {"id": "python/three_independent_target/68/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 73}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 44, 29, 60, 100, -57, 32, -12, 14, 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) -> 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\nDefine task_3_input = {\"result\": [2, -13, -8, 53, -100, -1, -23, -96, -17, -36]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":944}]"} {"id": "python/three_independent_target/68/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 3}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -41, -56, 91, -46, -72, 83, -25, -21, -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\nDefine task_3_input = {\"result\": [-35, -75, 52, -94, -40, -4, 31, 1, -87, -40]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-70,83,11]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-87,-41,-56,91,-46,-72,83,-25,-21,-11]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":755}]"} {"id": "python/three_independent_target/68/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -11}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -83, 95, -95, 51, -89, 55, 68, 97, 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\nDefine task_3_input = {\"result\": [-61, -94, -62, 8, -49, -85, -54, 48, -62, -71]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "377", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[67,-83,95,-95,51,-89,55,68,97,29]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":377}]"} {"id": "python/three_independent_target/68/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [92, 13, 14, -1, 65, -62, 42, 36, 1, 11]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-7, 92, 4, 46, -6, -34, 71, -42, 52, 15].\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\nDefine task_3_input = {\"result\": [-80, 2, 38, -24, -75, 59, -44, 87, -32, 1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "223", "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\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":223}]"} {"id": "python/three_independent_target/68/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -45}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -45.\nDefine task_2_energy_static = [-44, 43, -62, 33, 76, -39, 4, 5, -79, 69].\nDefine task_2_experience_static = [40, -94, 33, 85, 80, -78, -10, 24, -8, -60].\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\nDefine task_3_input = {\"result\": [10, -23, 47, -94, 96, -97, 25, -82, -95, -95]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "671", "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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":204},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":671}]"} {"id": "python/three_independent_target/68/15", "category": "python", "topology": "three_independent_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\": 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_tokens_static = [-36, -30, -37, -22, 15, -74, -8, -82, -39, -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\nDefine task_2_input = {\"result\": [78, 62, 81, -61, -85, 60, -83, -23, -46, 3]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-33, 31, -35, 7, -50, 18, -94, 80, -80, -14]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "1007", "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\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,2,2,1,3,1,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":1007}]"} {"id": "python/three_independent_target/69/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [55, -59, 93, 80, -4, -85, -5, 79, -99, -15]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-8, -15, -10, 1, -97, -41, 51, 83, 58, -59]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":349},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/69/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-35, 38, -63, 13, -91, 89, 10, 30, -37, 49]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [68, 80, -42, 25, 35, 47, 64, 73, 93, 27]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":3923},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[7,10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/69/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [3, -16, -26, -77, 40, 59, -39, 3, -49, 28]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [18, -43, -61, 60, -92, 89, -31, 30, -87, -16].\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\nDefine task_3_input = {\"result\": [28, -91, 66, -49, -88, -28, -43, -4, -26, -97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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,-46,25,-23]},{\"node_id\":\"task_2\",\"native_task_id\":54,\"native_task_name\":\"matchPlayersAndTrainers:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/69/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-35, -75, -50, -73, 82, 27, 10, -92, -36, 14]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -26.\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\nDefine task_3_input = {\"result\": [-26, -65, -14, -61, 36, -11, 95, -71, 75, 70]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":-195},{\"node_id\":\"task_2\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/69/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-85, 35, 65, -72, 7, -78, 1, 51, -99, 94]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [87, -77, -86, -37, 32, 53, 22, 10, 59, 17]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-72},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/69/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -32}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [32, 83, -23, -79, 82, -90, 15, 92, -84, 53]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-42,-31,-75]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/69/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -30}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [72, 24, -32, -83, 52, 55, -100, 7, -43, -34]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,32,54]},{\"node_id\":\"task_2\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-29},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/69/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -67}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-61, 15, -82, 83, 23, 36, -89, 30, 22, 82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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,-58,-66,-126]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/69/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [12, -31, 36, -75, 11, -78, 15, 33, -19, -23]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-16, -33, -38, -95, 46, 82, 65, 70, 3, 3]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":21598},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-31,-75,-78,15,33]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/69/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [21, 98, -40, 13, 94, -17, 38, 27, 33, -33]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [63, 74, -34, 53, -28, -23, -39, -14, 93, 84]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-464},{\"node_id\":\"task_2\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":324},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/69/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -87}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 94, 2, -37, -94, -53, -27, 14, -30, -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\nDefine task_3_input = {\"result\": [-65, -65, -66, -18, 42, 2, -95, -57, -87, -97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":51},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[100,94,2,-37,-94,-53,-27,14,-30,-80]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/69/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -33}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 100, 25, 18, -66, 86, -10, -90, 88, -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\nDefine task_3_input = {\"result\": [27, -19, 55, 99, -4, -17, -97, -93, -54, -90]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":90},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[17,100,25,18,-66,86,-10,-90,88,-74]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/69/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -5}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [64, -17, -92, -7, 59, -8, 26, 37, 68, 20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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,-4,26,-124,-4,-10,20,-130,26,20,50,-100,-124,-130,-100,-250]},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/69/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 99}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [45, 62, -83, -9, 20, -74, 6, 14, -57, 82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":99},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/69/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -74}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -5, -29, 25, -10, 73, -64, -47, -95, -65].\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\nDefine task_3_input = {\"result\": [-34, 10, -82, -53, -99, -68, -71, 58, -1, 53]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":73},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/69/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 31}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -99, 62, 19, 5, 66, -78, -59, 17, 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) -> 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\nDefine task_3_input = {\"result\": [20, -26, -71, 64, 11, 19, 53, 6, 56, 97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":37,\"native_task_name\":\"minimumRefill:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":12},{\"node_id\":\"task_3\",\"native_task_id\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/70/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -29}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -94, 4, 17, -58, -41, 88, 46, -85, 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\nDefine task_3_input = {\"result\": [-48, -52, -13, 33, 49, -96, -45, 72, 23, -5]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-35,-94,4,17,-58,-41,88,46,-85,69]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/70/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 86}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [12, 31, 2, -89, -63, -51, 88, 61, 42, 60].\nDefine task_2_passengers_static = [-41, 46, 47, -4, 48, 30, -45, -14, -66, 81].\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\nDefine task_3_input = {\"result\": [41, 3, 23, -22, -42, -34, 35, -27, 80, -15]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":88},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/70/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-84, 0, 39, -32, 27, -45, 92, -55, 37, -74]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [67, 31, 78, 90, -51, 22, -71, -48, -3, 93]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/70/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 14}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-47, 9, 69, 52, 65, -88, -49, 90, 5, -6]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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,-92,15,-79]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/70/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 75}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-67, 71, -35, 97, -70, -79, -20, -20, -68, 27].\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\nDefine task_3_input = {\"result\": [-60, -79, -45, -7, -57, 85, 39, -70, -60, -67]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":133},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/70/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [5, -25, 20, -16, -85, 90, 18, -77, 73, 48]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 (l, r) = (0, len(list_2) - 1)\n ans = 0\n while l < r:\n t = min(list_2[l], list_2[r]) * (r - l)\n ans = max(ans, t)\n if list_2[l] < list_2[r]:\n l += 1\n else:\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\nDefine task_3_input = {\"result\": [-10, 93, 91, -69, -80, 87, 58, 39, 39, 8]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":219},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/70/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -15}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [23, -87, 93, -36, -48, -46, 18, -26, 98, 99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-22,-14,-38]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/70/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [82, 74, -50, -22, -35, -11, 95, 95, 97, -2]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [79, 49, 94, 66, -53, -34, 14, 79, -48, 82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":12,\"native_task_name\":\"countHillValley:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/70/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [36, 29, -87, 90, 0, 41, 0, 34, 79, -83]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [11, -18, 22, 43, 95, 52, -41, 26, 69, 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\nDefine task_3_input = {\"result\": [62, -75, -38, 100, -61, -82, -84, -100, -62, -95]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,44,9,-66,130,92,91,-42,57,146,-70]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/70/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -61}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-79, 52, -41, -39, -78, -13, -30, -51, 78, -68].\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\nDefine task_3_input = {\"result\": [4, 53, 90, -78, -85, 50, 69, -38, 49, -99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[13,83,95,31,48,86]},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":78},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/70/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -35}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [50, -88, -80, 62, 93, -52, -49, -22, -37, -2].\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\nDefine task_3_input = {\"result\": [-67, -35, -96, 78, -5, 64, 26, 88, -58, -16]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[22,66,-89,-96,-50,47,80,-80,37,60]},{\"node_id\":\"task_2\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/70/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-6, 7, -91, 74, -29, -55, -39, -30, -80, -60]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-82, 81, -18, -23, -29, -29, 74, 62, -93, -28]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/70/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -25}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 23, -10, -24, 96, 48, 75, -76, -60, 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) -> 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\nDefine task_3_input = {\"result\": [-92, -64, 31, -64, 32, -35, 49, -85, -53, 80]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "13", "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\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":64},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":13}]"} {"id": "python/three_independent_target/70/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-98, 1, -11, -1, -14, -19, -47, 66, 22, -18]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-91, -69, -75, 39, 18, 83, 98, 55, -29, -30]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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,-2,0,2,4,6,8,10]},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/70/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -55}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 2, -74, 13, -1, -53, -50, 6, -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) -> 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\nDefine task_3_input = {\"result\": [74, 81, -98, -88, 85, -41, 100, 54, -52, -41]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-75,70,-7]},{\"node_id\":\"task_2\",\"native_task_id\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/70/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-70, -15, -31, 100, 64, 82, -79, -61, -8, -46]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-8, -30, 40, -45, -42, 18, -1, 28, 53, 71]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":69,\"native_task_name\":\"longestMonotonicSubarray:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/71/0", "category": "python", "topology": "three_independent_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\": [98, -94, 16, -47, 96, -59, -46, 56, 46, 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 (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\nDefine task_2_input = {\"result\": -86}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [1, -79, 63, 75, 45, -93, -64, 100, 6, 25]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":4,\"native_task_name\":\"findMin:list\",\"output_value\":-59},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-6,50,-342,-85,-93,-37,-429]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/71/1", "category": "python", "topology": "three_independent_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\": [-14, 6, -19, -46, 11, 42, 92, 90, -22, 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 (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\nDefine task_2_input = {\"result\": -95}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, 66, 92, 91, -82, -11, 100, -35, 72, 14].\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\nDefine task_3_input = {\"result\": [-62, -100, 78, 1, 85, -90, -71, 92, 72, 23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-14,6,-22,-46,90,42,92,11,-19,93]},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-95},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/71/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-34, -92, -44, 66, -51, -56, 87, -33, 44, 95]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-73, -49, 84, -88, 23, 0, 88, 42, 82, 19]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":240},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/71/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -29}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 33, 89, -14, 73, -70, -37, -79, -32, -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 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\nDefine task_3_input = {\"result\": [-47, -9, 99, -84, 71, -10, -81, 14, -96, 16]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":59},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/71/4", "category": "python", "topology": "three_independent_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\": [87, -85, 53, -77, 34, 28, -5, 42, 49, -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_nums2_static = [95, 72, 56, -20, 46, -50, 90, 6, -78, -100].\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\nDefine task_2_input = {\"result\": [24, 86, 84, 46, -40, 32, 13, 96, -33, -75]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [79, 80, 22, 89, -5, -1, 91, 78, 98, -44].\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\nDefine task_3_input = {\"result\": [20, -38, -76, 20, 25, -27, -39, 3, 20, -10]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":22},{\"node_id\":\"task_2\",\"native_task_id\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":487},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/71/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -18}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 6, 58, 9, -56, -63, -47, -59, 18, -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\nDefine task_3_input = {\"result\": [-76, -34, 22, 65, 22, 29, -88, 53, -51, -90]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":91},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/71/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -78}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -75.\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\nDefine task_3_input = {\"result\": [50, -1, -49, 48, -24, -5, -76, 67, -28, 67]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[20,20,-98,34,40,-40,48,55,84,86]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-74,-77,-153]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/71/7", "category": "python", "topology": "three_independent_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\": [36, -46, -52, -23, -41, -33, 51, -95, 90, -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 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\nDefine task_2_input = {\"result\": -2}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-87, -14, 98, 42, -35, 86, -2, 43, 66, -88]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-2},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/71/8", "category": "python", "topology": "three_independent_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\": 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\nDefine task_2_input = {\"result\": [62, -22, -64, -84, -35, 29, -87, -1, 51, 28]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-26, -84, -29, -89, 39, -52, 5, 43, -66, 17]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "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\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/71/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -48}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-71, -41, 1, 72, -80, 24, 92, -98, -64, 70]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-51,-92,-145]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,23,-47,-26]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/71/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -54}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [53, 60, -32, 59, 73, 92, 4, 56, 23, 1].\nDefine task_2_passengers_static = [-29, 50, 83, 32, 100, -27, -93, 78, -88, -23].\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\nDefine task_3_input = {\"result\": [-85, 0, -98, -35, 50, -24, -53, 97, 31, 20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":112},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":92},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/71/11", "category": "python", "topology": "three_independent_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\": 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_initialExperience_static = -1.\nDefine task_1_energy_static = [38, 15, 76, -65, -58, 31, -79, -21, 7, -36].\nDefine task_1_experience_static = [-66, -100, -57, -47, 19, -38, -36, -48, 68, -6].\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\nDefine task_2_input = {\"result\": 21}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, 24, -35, -11, 55, 54, 39, 84, -65, 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 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\nDefine task_3_input = {\"result\": [60, 47, 80, 70, -24, -45, 98, 21, 64, -99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":443},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":5670},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/71/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [58, 9, 30, 62, -80, 89, -85, 8, 65, -48]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-60, 30, 82, 15, -61, -81, -3, 48, -5, 75]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[58,-48,30,62,-80,8,-85,89,65,9]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/71/13", "category": "python", "topology": "three_independent_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\": -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 = [-84, -5, -6, 14, -97, 87, 18, 32, -68, 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\nDefine task_2_input = {\"result\": [-52, 76, -87, -61, -56, 86, 51, 2, -56, 13]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [32, 83, 77, 95, -24, 91, 84, 39, -29, -17]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":69},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,4,1,1,1,0,0,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/71/14", "category": "python", "topology": "three_independent_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\": -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_arr_static = [-84, 89, 96, -45, 8, 64, -34, 26, -35, 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\nDefine task_2_input = {\"result\": 18}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-52, 9, -43, 33, -29, -31, 64, 95, 94, 4].\nDefine task_2_passengers_static = [85, -11, -6, -93, -65, 58, -26, -34, -14, -66].\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\nDefine task_3_input = {\"result\": [47, 39, -24, 65, -86, 7, 32, -34, 57, -11]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":96},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":95},{\"node_id\":\"task_3\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/71/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-67, 40, 75, 73, 23, -50, -46, -90, 81, -11]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [10, -68, -68, -53, -24, -6, -79, 45, 42, 85]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":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\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/72/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-6, 44, 20, 3, 34, 14, 19, -52, 4, 74]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [78, 18, -44, -6, -45, 80, -5, -12, 68, -2]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,9,2,1,7,1,4,1,2,10]},{\"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_independent_target/72/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -19}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-34, 59, 89, -52, -7, 54, 95, -8, 58, 87].\nDefine task_2_passengers_static = [30, 1, 65, -27, 26, -44, -31, 74, -47, 84].\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\nDefine task_3_input = {\"result\": [-92, 41, -98, -43, -94, -64, -83, 76, -49, 68]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":429},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":95},{\"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_independent_target/72/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [74, -33, 13, 64, -100, -65, -7, 52, 31, 29]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-80, -22, 32, -2, -3, -48, 46, -79, 8, -10]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":[-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\":[-1,13,64,74,52,-7,52,74,74,74]},{\"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_independent_target/72/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -34}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 81, -38, -82, 74, -6, -82, 49, -82, -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\nDefine task_3_input = {\"result\": [79, -22, -48, -65, -72, 98, 34, 55, 43, -7]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":85},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-43,81,-38,-82,74,-6,-82,49,-82,-82]},{\"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_independent_target/72/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-35, -90, 81, 55, 27, -68, 76, 57, -51, -95]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-77, -55, -36, -97, -4, 37, -85, -92, -43, -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\nDefine task_3_input = {\"result\": [-65, -17, 32, 36, -56, -24, 7, 34, 51, 17]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":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\":[-112,-146,43,-43,21,-31,-9,-35,-94,-103]},{\"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_independent_target/72/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 64}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -20, 85, -52, -78, 76, -25, 21, 16, 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\nDefine task_3_input = {\"result\": [-49, 78, -39, -42, 66, 31, 25, 86, 99, 32]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":67},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-78,-52,-27,-25,-20,16,21,53,76,85]},{\"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_independent_target/72/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [38, 98, 12, 99, 1, -16, -8, -40, -60, -100]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [54, -86, 23, -88, -36, -46, -59, -8, -44, 47]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-54,-19,-75]},{\"node_id\":\"task_2\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,2,1,0,0,1,3,2,1,0]},{\"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_independent_target/72/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-93, -34, -42, 42, -69, 26, -49, -70, 89, 58]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-42, -69, -73, -89, -5, -46, 15, 54, -73, 23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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,-4,-2,0,2,4,6,7,9]", "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\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-7,-5,-4,-2,0,2,4,6,7,9]}]"} {"id": "python/three_independent_target/72/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -99}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [70, 58, 83, -48, -75, 80, -71, -10, -89, 61]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-15},{\"node_id\":\"task_2\",\"native_task_id\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-99},{\"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_independent_target/72/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [38, 41, -8, -11, -42, -2, -97, -18, 71, -91]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [38, 67, -96, 81, -38, 40, 71, -40, -33, 43]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":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\":[157,236,269,250,197,153,54,61,8,28]},{\"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_independent_target/72/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-52, -45, -9, 33, 40, -15, -83, -12, 97, 21]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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_passengers_static = [19, 63, -43, 67, 96, 44, -49, 48, 62, -91].\nDefine task_2_capacity_static = 36.\nTrace the execution of task_2 with inputs passengers = task_2_passengers_static, capacity = task_2_capacity_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], passengers: List[int], capacity: int) -> int:\n list_2.sort()\n passengers.sort()\n j = 0\n for t in list_2:\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_2[-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\nDefine task_3_input = {\"result\": [13, 84, -44, 53, -13, -87, -42, -57, -64, 97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":71},{\"node_id\":\"task_2\",\"native_task_id\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":97},{\"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_independent_target/72/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 11}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -50, 41, 46, 45, 12, -98, -77, 1, 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 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\nDefine task_3_input = {\"result\": [40, -64, -7, -53, -32, -94, -1, 32, -14, 46]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-15,-77,-94,14,49]},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":144},{\"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_independent_target/72/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 32}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -61, -7, -12, 98, 51, 7, 2, 41, -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\nDefine task_3_input = {\"result\": [-65, -10, -73, -89, -80, -80, 90, 1, -36, -44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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,-1,0,1,3,5,7,9]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-61,-32,-23,-12,98,41,-7,2,51,7]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-7,-5,-3,-1,0,1,3,5,7,9]}]"} {"id": "python/three_independent_target/72/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -12}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [65, -96, 7, 85, 88, -72, 50, 34, 43, 83]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":74},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,3,5,9,-11,-10,-8,-4,4]},{\"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_independent_target/72/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -4}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [51, -61, -77, -21, -7, 13, -76, 46, -10, 37].\nDefine task_2_passengers_static = [-49, -73, 4, -36, 88, -22, -20, -67, -40, 21].\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\nDefine task_3_input = {\"result\": [96, -74, -95, 23, -100, -79, -25, -73, 18, -15]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":51},{\"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_independent_target/72/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -6}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -8, 26, -63, 23, 7, 70, -17, 36, -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\nDefine task_3_input = {\"result\": [-58, 83, -58, -63, -5, -36, 13, -87, -98, -51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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,-5,-3,-1,1,3,5,7,9]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-90,-8,26,-63,23,7,70,-17,36,-12]},{\"node_id\":\"task_3\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-8,-6,-5,-3,-1,1,3,5,7,9]}]"} {"id": "python/three_independent_target/73/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-52, -46, -34, 27, -54, 94, -66, -96, 63, -92]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 55}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "55", "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\":8746},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":55}]"} {"id": "python/three_independent_target/73/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [47, -18, -41, -25, 54, 48, 29, 55, -57, 39]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 62}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "26", "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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":26}]"} {"id": "python/three_independent_target/73/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-41, 99, 85, 76, 3, 78, -31, -40, -90, 67]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -13}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "-31", "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\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":686},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-31}]"} {"id": "python/three_independent_target/73/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -6}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -54, -84, 35, 37, -64, 62, 91, 19, 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\nDefine task_3_input = {\"result\": 88}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "88", "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\":[-61,-54,-84,35,37,-64,62,91,19,77]},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":88}]"} {"id": "python/three_independent_target/73/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -19}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -67, 13, 85, -69, 6, 66, 94, 31, -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\nDefine task_3_input = {\"result\": 17}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "71", "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\":[-6,-67,13,85,-69,6,66,94,31,-55]},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":71}]"} {"id": "python/three_independent_target/73/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -56}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": 63}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "36", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-55,0]},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":36}]"} {"id": "python/three_independent_target/73/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [73, 2, -17, -56, 76, -16, -85, 45, -83, 100]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 55}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "55", "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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-85,-83,0]},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":55}]"} {"id": "python/three_independent_target/73/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [54, 53, 67, 14, 60, 21, -80, -77, 1, 20]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 76.\nDefine task_2_initialExperience_static = -11.\nDefine task_2_experience_static = [-28, -3, -83, 72, 18, -94, 3, 15, 83, 81].\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\nDefine task_3_input = {\"result\": -23}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "-32", "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\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":256},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-32}]"} {"id": "python/three_independent_target/73/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [2, -53, 53, 3, -81, -57, 43, -66, 27, 15]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 60}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":41,\"native_task_name\":\"validSubarrays:list\",\"output_value\":22},{\"node_id\":\"task_2\",\"native_task_id\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":11},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":6}]"} {"id": "python/three_independent_target/73/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 45}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 31, 35, 3, -69, -33, -17, -96, 48, -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\nDefine task_3_input = {\"result\": 9}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-96,-80,-69,-48,-33,-17,3,31,35,48]},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":9}]"} {"id": "python/three_independent_target/73/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-96, 87, 80, 19, -88, 67, 15, 57, 87, -60]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -64}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "-46", "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\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-46}]"} {"id": "python/three_independent_target/73/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -78}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -50, -79, 56, -36, -45, -8, 64, 55, 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\nDefine task_3_input = {\"result\": 56}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "65", "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\":[-12,-50,-79,56,-36,-45,-8,64,55,63]},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":65}]"} {"id": "python/three_independent_target/73/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 69}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 75, -16, -64, -98, -20, -73, 95, -4, -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\nDefine task_3_input = {\"result\": -82}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "-28", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-98,75,-73,-64,-31,-22,-20,95,-16,-4]},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-28}]"} {"id": "python/three_independent_target/73/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [5, -2, -100, -65, -29, -89, -71, -90, 4, -34]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 62}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "26", "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\":559},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":26}]"} {"id": "python/three_independent_target/73/14", "category": "python", "topology": "three_independent_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\": [-85, -99, -49, -70, -80, -33, -55, 48, -78, 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 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\nDefine task_2_input = {\"result\": -34}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": 91}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "19", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":61,\"native_task_name\":\"sumSubarrayMins:list\",\"output_value\":999995779},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-27,-33,-62]},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":19}]"} {"id": "python/three_independent_target/73/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-30, -2, 5, -59, 29, -1, -45, -17, 100, 16]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 71}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-29},{\"node_id\":\"task_2\",\"native_task_id\":53,\"native_task_name\":\"lenLongestFibSubseq:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":17}]"} {"id": "python/three_independent_target/74/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-65, -30, 12, 38, 73, 19, 30, 77, -87, -20]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-59, 41, -24, -39, 70, 70, -98, 89, -10, 35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-53, -88, -6, -1, -89, -61, -59, 98, 67, 78].\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\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":60,\"native_task_name\":\"countQuadruplets:list\",\"output_value\":12},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/74/1", "category": "python", "topology": "three_independent_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\": [-74, -95, -64, -45, -93, 99, -91, 39, -77, 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 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\nDefine task_2_input = {\"result\": [-83, 65, 64, -34, -25, 61, 98, 9, -87, 20]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [10, 6, -57, 98, 40, 100, 70, -42, -46, -61]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-1, -18, -23, 50, 42, 49, -53, -12, 76, 51].\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\":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\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[20,98,64,-34,-25,61,65,9,-87,-83]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/74/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -97}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -97, -60, -91, 77, 76, 48, 36, 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\nDefine task_3_input = {\"result\": [96, -43, 13, 20, -39, -96, 24, -71, -89, -20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [69, 30, -16, 93, 98, -5, -37, -78, 42, 73].\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": "8", "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\":[-31,84,-97,-60,-91,77,76,48,36,43]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/74/3", "category": "python", "topology": "three_independent_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\": [45, 54, -86, -52, -72, 48, -5, -27, -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.\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\nDefine task_2_input = {\"result\": -87}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-76, -10, 9, 89, -33, 71, 14, -98, -92, -90]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-33, 15, 22, -14, -94, 15, 42, 94, 79, -71].\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": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[45,45,-62,-62,-62,-5,-5,-21,-21,16]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,9,65,-86,-79,-23]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/74/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 3}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -81, -34, 95, 86, -22, 74, 15, 55, -20].\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\nDefine task_3_input = {\"result\": [46, 97, -10, -93, -91, -71, -55, -75, -69, -84]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [68, -21, -29, 98, 77, 20, 3, -32, 74, -2].\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": "8", "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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":463},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/74/5", "category": "python", "topology": "three_independent_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\": [-28, 46, 71, 76, 50, 58, 17, 86, -32, -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.\nDefine task_1_k_static = -4.\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\nDefine task_2_input = {\"result\": 78}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 60.\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\nDefine task_3_input = {\"result\": [-72, -93, -95, 35, 99, -4, -85, 38, 26, 0]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 91, 89, 88, -15, 53, -56, -9, -44, -33].\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": "8", "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\":[2,20]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/74/6", "category": "python", "topology": "three_independent_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\": 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 = [-69, 22, -76, 1, 26, 56, -9, 52, 25, 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\nDefine task_2_input = {\"result\": [-29, 7, -95, -65, -87, 37, 9, 15, 97, -15]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 85.\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\nDefine task_3_input = {\"result\": [43, 48, -36, 62, 39, 99, 42, -14, 8, -38]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [2, 12, -75, -88, -34, 42, 77, 58, -19, -94].\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\":[-76,-9,-69,1,6,22,25,26,52,56]},{\"node_id\":\"task_2\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":272},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/74/7", "category": "python", "topology": "three_independent_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\": [-65, 90, 6, -86, 53, 31, 28, 44, 28, 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 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\nDefine task_2_input = {\"result\": [-18, 58, -38, -42, -71, -26, -100, 11, -98, -14]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-6, -38, 98, -82, -42, -8, -81, 26, -1, -69]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-28, 28, 95, 91, 48, 33, -13, -15, -27, -58].\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": "5", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":12},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-18,-71,-26,0]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/74/8", "category": "python", "topology": "three_independent_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\": [-82, 26, -58, -98, 96, -42, 67, -71, -71, -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_initialEnergy_static = 63.\nDefine task_1_initialExperience_static = 28.\nDefine task_1_experience_static = [-45, -33, 69, -36, -30, 84, 8, -82, 8, -76].\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\nDefine task_2_input = {\"result\": -75}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -62, 20, 48, -85, 0, -47, 26, -89, 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) -> 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\nDefine task_3_input = {\"result\": [55, -7, -93, -14, 8, 60, 48, 79, -13, 44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [63, -73, 38, -73, -41, -83, 22, -85, 98, -84].\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\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":132},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":56},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/74/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-32, 48, -11, -93, -45, 97, 54, -63, 14, -54]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [75, 3, -56, -51, 29, -100, -57, 65, 45, -98]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [70, -61, -28, 74, 68, 76, -83, 22, 2, 30].\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\":[-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\":[-32,-11,-11,-45,-45,54,54,-24,-25,-54]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/74/10", "category": "python", "topology": "three_independent_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\": [76, 4, 52, -100, 67, 82, -74, 75, -55, -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 = [47, 58, 26, 17, -87, 20, 4, 99, -70, -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\nDefine task_2_input = {\"result\": [41, 94, -89, -39, 19, 53, 99, 59, -86, 94]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [56, -55, -53, -97, 16, 25, 99, -81, -87, -47]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [22, -73, -27, -72, -88, -61, -61, 8, 73, -81].\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\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,120,59,75,15,-21,100,-71,172,-125,-96]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[204,69,64,192,212,140,12,170,143,151]},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/74/11", "category": "python", "topology": "three_independent_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\": [70, -44, 94, 83, -86, -42, 100, 4, 55, -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 (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\nDefine task_2_input = {\"result\": 7}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [31, 74, -41, 49, -26, -43, -70, 12, -59, 24].\nDefine task_2_passengers_static = [58, 17, -78, -93, 71, 5, 89, -33, 67, -34].\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\nDefine task_3_input = {\"result\": [55, 88, 48, -25, -75, 94, -73, -37, 38, -8]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [48, 84, -12, 56, -32, -43, -82, -70, -44, -95].\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\":30,\"native_task_name\":\"maxArea:list\",\"output_value\":440},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":74},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/74/12", "category": "python", "topology": "three_independent_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\": [71, 99, -16, 28, 87, 53, -10, 8, -92, -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 (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\nDefine task_2_input = {\"result\": [-8, -28, 17, 51, -24, 88, 61, 45, -48, 70]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [5, 21, -29, 21, -80, -79, 87, -25, -93, 10]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-48, -1, -62, -35, -76, -37, -93, -99, -53, 47].\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\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/74/13", "category": "python", "topology": "three_independent_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\": [-95, 84, 66, 27, -19, -37, -52, 95, -88, 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 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\nDefine task_2_input = {\"result\": -33}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-92, 76, -21, 31, 85, -89, 18, 47, 100, -26]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [36, 64, 1, -49, 20, 29, 15, -54, -71, -62].\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": "5", "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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-33},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/74/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [59, 58, -91, 38, 38, -80, 8, 30, 59, 7]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [0, -43, -29, 37, -49, -72, -55, 46, -65, 59].\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\nDefine task_3_input = {\"result\": [39, 94, 100, -49, -53, 30, -48, -1, 8, -91]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [64, -50, -52, -43, 17, -10, 74, -98, 82, 34].\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\":[62,58,47,64,13,-43,27,64,-79,36]},{\"node_id\":\"task_2\",\"native_task_id\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/74/15", "category": "python", "topology": "three_independent_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\": 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 = [27, -31, 44, -50, -59, 37, -43, 19, 21, 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\nDefine task_2_input = {\"result\": -18}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-84, 72, 93, 57, -23, -48, -12, -32, -7, -65].\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\nDefine task_3_input = {\"result\": [-34, -47, -91, -49, -35, 41, -39, 7, 39, -61]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 11, 12, -6, 13, 89, -65, -19, 72, 77].\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\":[-59,-50,-43,-31,2,19,21,27,37,44]},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-10},{\"node_id\":\"task_3\",\"native_task_id\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":2}]"} {"id": "python/three_independent_target/75/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -44}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -90, 28, -32, -75, -63, -12, 20, 88, -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\nDefine task_3_input = {\"result\": [54, 21, -86, 20, -100, -49, -54, 87, -91, 82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -46.\nDefine task_3_initialExperience_static = -41.\nDefine task_3_experience_static = [-14, -34, 83, -44, -20, -75, 29, -20, 41, -32].\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": "209", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[56,-90,28,-32,-75,-63,-12,20,88,-99]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":209}]"} {"id": "python/three_independent_target/75/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -6}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 6.\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\nDefine task_3_input = {\"result\": [86, 30, 82, -6, -34, 5, -94, -20, 79, 77]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 64.\nDefine task_3_initialExperience_static = -11.\nDefine task_3_experience_static = [-50, 84, -35, 3, 60, 13, -93, 83, 88, 64].\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": "288", "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,-13,-5,-20]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":288}]"} {"id": "python/three_independent_target/75/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [71, -41, 43, -15, 73, 40, -45, -86, 77, -9]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [0, 79, 26, 56, 44, -74, 97, -74, -69, 41]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -17.\nDefine task_3_initialExperience_static = -23.\nDefine task_3_experience_static = [48, -53, -90, 95, 13, -44, -51, -89, 37, 55].\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": "376", "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\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-86,77]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":376}]"} {"id": "python/three_independent_target/75/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-69, 33, -98, 22, -39, -27, 13, 37, -37, 100]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [50, -68, 53, -93, 14, 24, -72, -55, 62, 79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -91.\nDefine task_3_initialExperience_static = 49.\nDefine task_3_experience_static = [-56, -22, -12, 16, 85, 7, 98, -25, -70, -97].\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": "197", "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\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,1369,1369,169,729,1521,484,9604,1089,4761]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":197}]"} {"id": "python/three_independent_target/75/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -92}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [72, 9, 7, 86, -50, -62, -66, 84, 39, 85].\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\nDefine task_3_input = {\"result\": [50, -24, -33, 14, -70, 55, -5, 85, -24, 77]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 76.\nDefine task_3_experience_static = [4, -92, -18, -15, -33, -96, 27, 52, 15, 69].\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": "428", "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\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":428}]"} {"id": "python/three_independent_target/75/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-56, 69, 70, 98, -98, 79, 20, -99, 81, -30]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-46, 7, -96, 70, 40, -54, 59, -79, 63, 86]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 16.\nDefine task_3_experience_static = [-55, 89, -66, -83, 66, 92, 58, 26, 60, -33].\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": "166", "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\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[98,-98]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":166}]"} {"id": "python/three_independent_target/75/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-57, 18, -74, 20, 62, 27, -12, 80, 29, -8]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-89, -42, 68, 96, 13, 3, 89, -25, -84, -51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -74.\nDefine task_3_experience_static = [32, -8, 58, -2, 97, 90, -8, -70, 12, -29].\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": "109", "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\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":109}]"} {"id": "python/three_independent_target/75/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [15, 33, 0, -7, 35, 11, 97, 40, 20, 66]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [96, -95, 17, -18, -21, 41, 83, 26, 71, 82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -77.\nDefine task_3_initialExperience_static = 34.\nDefine task_3_experience_static = [-81, -57, -61, 81, 58, 36, 64, 28, -2, 10].\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": "607", "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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":607}]"} {"id": "python/three_independent_target/75/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-12, -50, -84, 39, 4, 67, 42, 25, -88, 93]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 v in list_2:\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_2 = len(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\nDefine task_3_input = {\"result\": [-78, 9, 23, 62, -8, -15, -95, -67, -79, 24]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -21.\nDefine task_3_initialExperience_static = 43.\nDefine task_3_experience_static = [-57, 7, 45, -65, -11, -6, 42, -79, -1, -59].\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": "87", "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\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":87}]"} {"id": "python/three_independent_target/75/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -13}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -47, -5, -27, 70, -79, 49, 76, -24, -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) -> 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\nDefine task_3_input = {\"result\": [-71, -15, -54, -59, 99, -39, -43, -60, -68, -59]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 52.\nDefine task_3_initialExperience_static = 73.\nDefine task_3_experience_static = [-41, 64, -34, -76, -41, 41, -48, -49, 43, 99].\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": "168", "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\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":168}]"} {"id": "python/three_independent_target/75/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -56}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-52, 55, 48, 76, -18, 82, 28, 92, -90, 50]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -19.\nDefine task_3_initialExperience_static = 84.\nDefine task_3_experience_static = [30, -98, -87, 7, 41, -43, -49, -81, 39, 5].\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": "527", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-61,-55,-118]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":527}]"} {"id": "python/three_independent_target/75/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [100, -11, 4, -4, 47, -8, 85, 49, -33, 41]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [5, -26, 60, 69, 25, 56, 28, 81, -18, 92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -88.\nDefine task_3_initialExperience_static = 39.\nDefine task_3_experience_static = [-67, 54, -77, 85, -13, 20, -93, -71, 20, -79].\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": "605", "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\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[2,1,2,1,2,1,1,2,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":605}]"} {"id": "python/three_independent_target/75/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -76}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [100, -18, -95, -23, 27, 96, 94, -58, 41, -46].\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\nDefine task_3_input = {\"result\": [-42, 27, 43, 33, -100, 29, -44, -9, -75, -25]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -12.\nDefine task_3_initialExperience_static = -100.\nDefine task_3_experience_static = [-74, -94, -66, -69, 68, 71, 24, -46, 37, 100].\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": "472", "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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":335},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":472}]"} {"id": "python/three_independent_target/75/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-13, 39, -75, 41, -75, -23, -65, 15, -78, -6]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [34, -50, 97, 73, -23, -94, 81, -55, 62, -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\nDefine task_3_input = {\"result\": [-34, -26, -10, 8, -90, -65, -99, 8, -68, 51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 35.\nDefine task_3_initialExperience_static = -79.\nDefine task_3_experience_static = [67, 65, -71, 98, -80, 23, -73, 48, 22, -6].\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": "147", "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\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,19,-12,19,112,-98,-118,14,-40,-16,-102]},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":147}]"} {"id": "python/three_independent_target/75/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [54, -19, -25, -91, 88, -85, 90, -47, 33, 57]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-79, 36, -71, -15, 90, 70, 5, -79, -97, -59]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 96.\nDefine task_3_initialExperience_static = -7.\nDefine task_3_experience_static = [8, 22, -41, 35, -23, -67, 89, 72, 26, -33].\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": "163", "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\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":163}]"} {"id": "python/three_independent_target/75/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 8}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [77, -70, 60, -27, 89, -2, 25, 89, 51, -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 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\nDefine task_3_input = {\"result\": [-26, 34, 91, 7, 93, 94, 44, 7, 0, -51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -62.\nDefine task_3_initialExperience_static = 91.\nDefine task_3_experience_static = [40, -86, 70, 37, 50, -94, -68, 11, 93, 30].\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": "399", "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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":75,\"native_task_name\":\"minNumberOfHours:list\",\"output_value\":399}]"} {"id": "python/three_independent_target/76/0", "category": "python", "topology": "three_independent_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\": -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 = -35.\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\nDefine task_2_input = {\"result\": -28}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 2, 44, -98, 75, 56, -25, 23, -2, 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\nDefine task_3_input = {\"result\": 91}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 28.\nDefine task_3_energy_static = [97, -67, 8, 60, 28, 32, 60, 5, -66, 85].\nDefine task_3_experience_static = [75, -26, 57, 5, 17, 51, 89, 17, -29, 33].\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": "200", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-34,-19,-55]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[11,2,44,-98,75,56,-25,23,-2,36]},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":200}]"} {"id": "python/three_independent_target/76/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-52, -12, 43, 48, 30, -20, -26, -65, 94, -79]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 g = [1] * n\n for i in range(1, n):\n if list_2[i] > list_2[i - 1]:\n f[i] = f[i - 1] + 1\n ans = 0\n for i in range(n - 2, -1, -1):\n if list_2[i] > list_2[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_2 = ans\n return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nDefine task_3_input = {\"result\": 70}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = -4.\nDefine task_3_energy_static = [-15, 99, -100, 21, 84, 63, -25, -96, -84, 12].\nDefine task_3_experience_static = [-96, -89, 41, -66, -57, 72, 47, 51, -6, -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": "344", "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\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":344}]"} {"id": "python/three_independent_target/76/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [28, -44, -4, -73, 96, 88, 90, -84, 72, -48]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -38.\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\nDefine task_3_input = {\"result\": 87}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = -34.\nDefine task_3_energy_static = [-67, 21, 71, 71, -94, -7, -4, 79, -91, 36].\nDefine task_3_experience_static = [-87, -65, -83, -82, 6, -65, 34, -16, -23, -77].\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": "445", "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\":25,\"native_task_name\":\"minArrayLength:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":445}]"} {"id": "python/three_independent_target/76/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 63}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": 63}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 58.\nDefine task_3_energy_static = [-15, 19, 72, -18, -94, 41, -61, -52, 86, -85].\nDefine task_3_experience_static = [76, 90, -59, 82, 9, -25, -5, 54, 19, 27].\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": "19", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-63,64,-1]},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":19}]"} {"id": "python/three_independent_target/76/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 86}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": 6}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = -98.\nDefine task_3_energy_static = [64, -9, -49, -70, -63, 23, -32, 23, 28, -68].\nDefine task_3_experience_static = [59, 55, -93, -3, -27, 20, 88, 41, 74, 96].\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": "176", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,15]},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":176}]"} {"id": "python/three_independent_target/76/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-82, -7, -55, 99, 84, -14, 98, 54, 73, -40]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 23}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 12.\nDefine task_3_energy_static = [92, 96, 50, -62, -93, 55, -57, 22, 78, -76].\nDefine task_3_experience_static = [46, 2, -14, 59, -91, -80, 85, 58, -87, -81].\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": "235", "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\":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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":235}]"} {"id": "python/three_independent_target/76/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 57}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -45, -62, -42, -54, -93, 86, 67, -79, -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\nDefine task_3_input = {\"result\": -75}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 7.\nDefine task_3_energy_static = [-91, 52, -99, -46, -17, 88, 58, 65, 62, -43].\nDefine task_3_experience_static = [8, 65, 44, -23, -45, 59, 54, 79, 4, -65].\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": "156", "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\":[67,-94,-93,-79,-62,-54,69,86,-45,-42]},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":156}]"} {"id": "python/three_independent_target/76/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 50}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -59, 87, 75, -18, -38, -86, -24, -46, 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\nDefine task_3_input = {\"result\": -51}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 66.\nDefine task_3_energy_static = [5, 82, 66, -97, -95, 82, 48, -92, 82, -4].\nDefine task_3_experience_static = [-52, -50, 44, 89, -27, -8, -45, -86, -5, -73].\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": "211", "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\":[-86,-59,75,87,-46,-38,-24,-18,-11,17]},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":211}]"} {"id": "python/three_independent_target/76/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-42, 32, 50, 71, -72, -93, -85, -19, -90, -26]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -23.\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\nDefine task_3_input = {\"result\": 45}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = -19.\nDefine task_3_energy_static = [-37, 69, -12, -36, 46, -69, -8, 86, -94, -49].\nDefine task_3_experience_static = [73, 29, -43, -26, 89, -37, 64, 48, -97, 32].\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": "93", "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\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":-13},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":93}]"} {"id": "python/three_independent_target/76/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-69, 76, -13, -13, -27, -89, 13, -51, 88, -72]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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\nDefine task_3_input = {\"result\": 46}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 68.\nDefine task_3_energy_static = [-23, 68, 70, -12, 52, -26, -15, 95, 53, 7].\nDefine task_3_experience_static = [-37, 80, 13, -38, 54, 39, -78, -40, -95, 37].\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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":69},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-89,76,-72,-69,-51,-27,-13,-13,88,13]},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":296}]"} {"id": "python/three_independent_target/76/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [95, 51, 76, 54, 86, 48, 5, -37, -95, 48]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -85}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 40.\nDefine task_3_energy_static = [-9, 4, 70, 57, 26, -75, -91, -1, -30, 43].\nDefine task_3_experience_static = [-44, 83, -14, 23, -85, 96, 77, 87, 10, -5].\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": "174", "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\":17,\"native_task_name\":\"maxWidthRamp:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":174}]"} {"id": "python/three_independent_target/76/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -75}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": 63}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 48.\nDefine task_3_energy_static = [23, -38, -88, -97, -6, 54, 8, -51, -18, 5].\nDefine task_3_experience_static = [23, -73, 8, 22, -43, -58, -92, 13, -13, -33].\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": "179", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-88,-74,-164]},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":179}]"} {"id": "python/three_independent_target/76/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -66}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 4, -84, 10, -77, 51, -34, 30, 10, -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) -> 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\nDefine task_3_input = {\"result\": 87}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 46.\nDefine task_3_energy_static = [-45, -41, 89, 30, 9, 77, -80, -93, -60, -39].\nDefine task_3_experience_static = [-22, -4, 51, 89, -80, -55, -76, 58, 53, -12].\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": "110", "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\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":110}]"} {"id": "python/three_independent_target/76/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-48, 46, -44, -44, 91, 48, -46, -63, -9, 2]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 3}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 59.\nDefine task_3_energy_static = [89, 49, 56, -63, 96, 93, 25, -83, -18, 28].\nDefine task_3_experience_static = [92, 91, 73, -19, 11, -88, -89, 27, -23, -28].\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": "304", "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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[19,17,19,69,22,117,119,10,62,69]},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":304}]"} {"id": "python/three_independent_target/76/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-40, 81, 81, 76, 40, 44, 94, -10, 71, 55]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 92}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 34.\nDefine task_3_energy_static = [44, 64, -60, -30, 7, -10, -79, 85, 65, -14].\nDefine task_3_experience_static = [24, 66, -23, 87, 0, 84, 55, 49, -10, 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": "9", "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\":71,\"native_task_name\":\"findNumberOfLIS:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":9}]"} {"id": "python/three_independent_target/76/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -64}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -64, -53, 31, 47, -92, 0, -53, 94, -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\nDefine task_3_input = {\"result\": -24}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 24.\nDefine task_3_energy_static = [-48, 2, 13, 60, -93, 29, 57, 59, 8, 3].\nDefine task_3_experience_static = [-27, -84, 49, -88, -77, -54, 19, -70, -28, 97].\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": "549", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[71,-64,-53,31,47,-92,0,-53,94,-79]},{\"node_id\":\"task_3\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":549}]"} {"id": "python/three_independent_target/77/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [67, -9, -88, -46, 4, 71, 50, -8, -14, -63]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [22, 93, 35, -14, 21, -10, 4, 53, 76, -95]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-14,-8,-88,-46,4,50,71,-9,67,-63]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/77/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -23}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 97, -60, 80, -32, -4, -4, 11, 64, -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\nDefine task_3_input = {\"result\": [56, -89, 71, 27, 32, -80, -23, 47, -93, 31]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-74,97,-60,80,-32,-4,-4,11,64,-18]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/77/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -62}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-23, 99, 46, 92, 77, -74, 32, -4, 14, -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 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\nDefine task_3_input = {\"result\": [80, 97, 34, -52, 61, -75, 81, 50, -69, 68]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":539},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/77/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -2}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-63, -20, -7, 48, 29, -55, -36, 95, -64, -81]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,52,70]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,32,-1,29,5,-7,23,17,-31,-1]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/77/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -84}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-85, 16, 56, -2, 25, -43, -63, -53, -72, 72]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-87,-85,-81,-50,-4,-2,51,63,84,99]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-83,-15]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/77/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [80, -23, -90, 84, -58, -30, -65, 58, 37, -2]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-22, -77, 36, 76, -31, 36, 43, -84, 65, 11].\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\nDefine task_3_input = {\"result\": [-11, -100, 4, 87, 100, -6, -5, -55, 53, -74]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":51},{\"node_id\":\"task_2\",\"native_task_id\":40,\"native_task_name\":\"countPairs:list\",\"output_value\":19},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/77/6", "category": "python", "topology": "three_independent_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\": 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 = [-68, -56, -78, -81, 8, 71, -65, -57, 0, 48].\nDefine task_1_passengers_static = [28, -73, -78, -72, 22, 48, 83, -97, 4, -37].\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\nDefine task_2_input = {\"result\": [11, 50, -73, 76, -90, -15, -7, 1, -84, -65]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-64, -93, -57, 31, 8, -74, 79, -8, -2, 56]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":71},{\"node_id\":\"task_2\",\"native_task_id\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/77/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -5}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 2.\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\nDefine task_3_input = {\"result\": [90, -59, 90, -7, -22, 61, 10, 54, -32, 55]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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,-28,-4,-34]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/77/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [5, -57, 100, -20, -97, 94, 32, 8, -3, 30]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-86, -6, 29, 17, 29, 90, -47, 79, -11, 44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":85},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,400,9409,8836,1024,64,9,3249,25,900]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/77/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 31}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 55, 47, 79, 30, -22, 24, 31, 5, -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\nDefine task_3_input = {\"result\": [-53, -78, 23, -15, -43, 4, 36, -89, -33, -82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-36,-22,5,24,30,31,47,55,79,100]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/77/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-46, 48, -99, -78, 70, -28, -43, 43, 24, 46]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [33, 29, 68, 54, 67, 92, -9, -96, -26, 3]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":70,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/77/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [76, 30, 28, 85, -58, 41, 100, -48, 6, -14]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-13, -56, 86, -35, -10, 95, 65, 69, 61, 77]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":165},{\"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\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/77/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 18}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -37, 88, -96, 11, 77, -20, 81, 80, -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\nDefine task_3_input = {\"result\": [-97, 46, -58, -73, -35, -81, 85, 17, 42, -74]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[77,-37,79,-96,-20,80,-2,81,88,11]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/77/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 62}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [20, -22, 22, -100, -100, 19, -33, 29, 72, 57]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-33]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/77/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 74}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-93, -62, -96, 71, -30, 47, -86, -84, 87, -47]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,56]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":3}]"} {"id": "python/three_independent_target/77/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 90}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [66, 51, 54, -14, -83, 41, -91, -33, 13, -6]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-3,-89,-3,-82,-60,20,27,29,31,69]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-7,65,-511]},{\"node_id\":\"task_3\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/78/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [8, -52, -51, -20, -79, 72, -8, 82, 22, 63]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [76, 41, 83, -33, 91, -19, -85, 50, -40, -79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[2,1,2,1,0,2,1,0,0,0]", "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\":[8,-52,22,-20,82,72,-8,-79,-51,63]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,2,1,0,2,1,0,0,0]}]"} {"id": "python/three_independent_target/78/1", "category": "python", "topology": "three_independent_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\": -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_buses_static = [14, -15, 98, -9, -10, 34, -35, -2, 60, -49].\nDefine task_1_passengers_static = [57, 40, 63, 18, 27, 55, 80, 41, 26, -77].\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\nDefine task_2_input = {\"result\": [-81, 27, -37, -29, 30, 89, 49, 12, 33, 57]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [96, 36, 37, -73, -99, 39, 19, 82, -98, -97].\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\nDefine task_3_input = {\"result\": [49, 8, 98, -76, -35, 93, 90, 58, 100, 45]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[2,1,0,1,1,0,0,0,1,0]", "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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-97,-98,82,19,39,-99,-73,37,36,96,-81,27,-37,-29,30,89,49,12,33,57]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,0,1,1,0,0,0,1,0]}]"} {"id": "python/three_independent_target/78/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -78}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [100, 55, -21, 26, -95, 14, 1, 39, -60, -45].\nDefine task_2_capacityB_static = 47.\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\nDefine task_3_input = {\"result\": [98, -79, -92, 53, -38, -40, 43, 14, 14, 99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[9,2,1,6,2,1,3,2,1,0]", "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\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[9,2,1,6,2,1,3,2,1,0]}]"} {"id": "python/three_independent_target/78/3", "category": "python", "topology": "three_independent_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\": -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 = [-81, 69, 6, -48, 37, 77, -8, 66, 25, 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\nDefine task_2_input = {\"result\": 69}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-99, -31, -10, -70, -84, 20, 93, 91, -95, 97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,1,3,2,1,1,3,2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-81,69,6,-48,37,77,-8,66,25,34]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,14,70,82]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,1,3,2,1,1,3,2,1,0]}]"} {"id": "python/three_independent_target/78/4", "category": "python", "topology": "three_independent_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\": -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 = [-79, 95, 67, 94, 12, 53, 6, 32, 79, 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\nDefine task_2_input = {\"result\": -75}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 50, 9, -3, -26, 85, -13, -5, 51, -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) -> 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\nDefine task_3_input = {\"result\": [94, 71, 32, -12, -36, 12, -26, 25, 89, -63]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[0,7,6,2,1,2,1,1,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-79,95,67,94,12,53,6,32,79,28]},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":12},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[0,7,6,2,1,2,1,1,0,0]}]"} {"id": "python/three_independent_target/78/5", "category": "python", "topology": "three_independent_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\": [99, 80, -92, -63, -33, -48, 92, -88, -48, -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_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 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\nDefine task_2_input = {\"result\": [-39, 13, 36, 37, 45, -14, -89, -35, 85, 40]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-65, -76, 97, -100, 89, -80, 54, -85, -61, 74]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[2,1,0,1,0,1,3,1,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":99},{\"node_id\":\"task_2\",\"native_task_id\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":720},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,0,1,0,1,3,1,1,0]}]"} {"id": "python/three_independent_target/78/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 14}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [1, 68, 99, 83, 50, -52, -52, 76, 39, -77]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,1,0,0,3,2,1,0,0,0]", "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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":41},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,1,0,0,3,2,1,0,0,0]}]"} {"id": "python/three_independent_target/78/7", "category": "python", "topology": "three_independent_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\": [69, -19, -41, -59, 77, -2, -46, 23, -21, -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 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\nDefine task_2_input = {\"result\": [-71, 95, 26, 87, 19, 30, -33, 4, -56, -72]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [25, -36, 83, -26, -79, -82, -80, -57, 64, 46]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[2,1,0,5,3,1,1,1,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":2956},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,10,1,8,1,6,1,4,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,0,5,3,1,1,1,0,0]}]"} {"id": "python/three_independent_target/78/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [57, 89, -35, -62, 62, 20, 30, -97, 17, 81]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [35, -47, 40, 36, 71, 94, 54, -14, -70, 69]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[2,1,2,1,1,0,3,2,1,0]", "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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[105,41,95,2,2,80,130,63,17,81]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,2,1,1,0,3,2,1,0]}]"} {"id": "python/three_independent_target/78/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [73, -49, -32, 11, -6, 20, 22, 32, -76, 9]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 77.\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\nDefine task_3_input = {\"result\": [45, 59, 18, 47, 26, -65, 57, 24, -83, 93]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,8,1,3,2,1,3,2,1,0]", "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\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":87},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,8,1,3,2,1,3,2,1,0]}]"} {"id": "python/three_independent_target/78/10", "category": "python", "topology": "three_independent_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\": -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 = [75, 88, 63, -46, 25, 42, -78, 21, -7, -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\nDefine task_2_input = {\"result\": [82, -65, -71, 40, -59, -20, -88, -27, -79, -99]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [69, -28, -56, -5, 3, -82, -89, -7, -77, 48]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[0,2,1,1,5,2,1,2,1,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[75,88,63,-46,25,42,-78,21,-7,-53]},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[10,2,1,9,1,6,1,4,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[0,2,1,1,5,2,1,2,1,0]}]"} {"id": "python/three_independent_target/78/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [42, 4, 18, -69, 64, -95, -17, 83, -64, -90]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [91, 4, 17, -74, 0, -3, -21, 81, -32, 29]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[0,1,5,1,3,2,1,0,1,0]", "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\":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\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[0,1,5,1,3,2,1,0,1,0]}]"} {"id": "python/three_independent_target/78/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-13, 77, -51, -64, -79, 67, 46, -9, -8, -80]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-33, 56, -14, 81, 19, -24, 3, -79, 4, -83]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,2,1,0,0,1,2,1,0,0]", "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\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,2,2,2,1,1,2,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,2,1,0,0,1,2,1,0,0]}]"} {"id": "python/three_independent_target/78/13", "category": "python", "topology": "three_independent_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\": [-65, 52, 43, 77, -95, -94, 8, -85, 61, -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 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\nDefine task_2_input = {\"result\": [69, 93, -2, -85, -32, 100, 16, 30, 27, -85]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -12.\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\nDefine task_3_input = {\"result\": [-3, 0, 91, 26, -59, 69, -74, -38, 21, -79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,1,0,2,1,0,1,1,0,0]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,3,1,10,1,2,4,1,6,1]},{\"node_id\":\"task_2\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[69,93,-2,-85,-32,0,16,30,27,-85]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,1,0,2,1,0,1,1,0,0]}]"} {"id": "python/three_independent_target/78/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -38}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -69, 41, 89, 47, 5, 13, -9, 46, 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) -> 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\nDefine task_3_input = {\"result\": [-79, -2, -33, -72, -40, -82, -35, 12, 43, -64]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,6,5,1,2,1,1,1,0,0]", "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\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,6,5,1,2,1,1,1,0,0]}]"} {"id": "python/three_independent_target/78/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-66, -93, -41, -5, 14, 4, -10, 98, -57, -76]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-31, 28, -46, -6, 71, -100, -46, 96, 16, -37]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,3,1,1,3,2,1,0,0,0]", "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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-66,-66,-41,-5,4,4,4,4,-57,-76]},{\"node_id\":\"task_3\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,3,1,1,3,2,1,0,0,0]}]"} {"id": "python/three_independent_target/79/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 32}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -50, -3, 79, -21, -46, 57, -62, -82, -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\nDefine task_3_input = {\"result\": [55, 64, 16, 12, 92, 6, 61, -69, 88, 25]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-96, -4, 31, 36, -85, -93, 3, -73, -67, -52].\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": "389", "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\":[-82,-62,-50,57,-46,-21,79,-9,-3,22]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":389}]"} {"id": "python/three_independent_target/79/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -91}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -52, 24, -87, -87, -39, 30, 7, 26, -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\nDefine task_3_input = {\"result\": [89, 15, -85, -98, -6, 23, -60, -2, -33, 24]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 94, -30, -38, 23, -51, 38, 90, -36, 44].\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": "225", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[14,-52,24,-87,-87,-39,30,7,26,-3]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":225}]"} {"id": "python/three_independent_target/79/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-53, 88, -13, -54, -2, 59, -37, -91, -74, 16]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-94, -83, 71, 86, -4, -20, 47, -2, -75, -97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [38, -42, 19, -58, -16, -7, -16, 7, 100, 58].\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": "341", "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\":[88,-1,-2,-2,59,88,16,-74,16,88]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":341}]"} {"id": "python/three_independent_target/79/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -98}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 60.\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\nDefine task_3_input = {\"result\": [-54, -30, -82, -76, 26, -76, -52, 32, 88, 94]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [96, 98, -23, -21, -68, -93, -57, -16, -77, 58].\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": "262", "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,-97,-9]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":262}]"} {"id": "python/three_independent_target/79/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 18}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-45, 19, -99, 52, -44, 99, -34, -1, -1, -2].\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\nDefine task_3_input = {\"result\": [-55, 10, 9, -22, 93, 3, 77, -87, 78, -16]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 13, 74, 19, -11, -11, -46, 0, -72, 15].\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": "289", "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\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":289}]"} {"id": "python/three_independent_target/79/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [26, -67, 38, 63, -12, -59, -24, 54, 98, 71]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-7, -62, 50, 30, 11, 66, 91, 82, 8, 58].\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\nDefine task_3_input = {\"result\": [-58, -51, -11, -13, -51, 7, 45, 10, -99, -79]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -65, -97, 17, -41, 42, 32, -92, -99, -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": "-130", "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\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":-130}]"} {"id": "python/three_independent_target/79/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -8}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 18.\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\nDefine task_3_input = {\"result\": [17, -15, -100, -51, 70, 9, 69, 31, 46, -40]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [29, 21, -78, 21, -50, -62, -95, -29, -43, 87].\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": "311", "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,-7]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":311}]"} {"id": "python/three_independent_target/79/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 58}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [67, 84, 69, 69, 52, -96, -16, -71, 71, 78]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-89, 57, -57, 27, 59, 32, -38, 48, 76, 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": "560", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,59]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":560}]"} {"id": "python/three_independent_target/79/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 67}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [58, 64, 53, 82, 88, -48, 67, -46, -46, -69]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 100, 99, -96, 98, -34, 91, 49, -12, 53].\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": "625", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-21,68,45]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":625}]"} {"id": "python/three_independent_target/79/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 99}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [63, 7, 39, 83, 2, -4, 24, 39, 75, -39].\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\nDefine task_3_input = {\"result\": [-15, 28, -99, -93, -69, 68, -21, -36, 41, -76]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-64, 55, 26, -4, -96, -80, -92, -85, 100, -66].\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": "-11", "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\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":-11}]"} {"id": "python/three_independent_target/79/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-1, -38, -13, 41, 20, 83, 46, -71, -47, -38]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-10, -30, -70, -84, 41, 45, 50, 87, 74, -51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [86, 92, 89, 25, 95, -5, -41, 65, -10, 60].\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": "703", "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\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,1444,169,1681,400,6889,2116,5041,2209,1444]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":703}]"} {"id": "python/three_independent_target/79/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-41, 75, 24, -31, -65, -69, 35, 81, 59, 94]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [41, 97, 49, 32, 79, 23, 73, 98, 65, 51].\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\nDefine task_3_input = {\"result\": [20, -9, 18, 65, -90, -51, 24, 97, 17, 72]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [73, -47, -52, -26, 31, -32, -63, 41, 79, -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": "303", "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\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":608},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":303}]"} {"id": "python/three_independent_target/79/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -62}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -87, -25, 81, -82, -77, -64, 49, 75, -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\nDefine task_3_input = {\"result\": [81, -93, -8, -41, 76, -45, -88, 40, 30, -30]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 66, 97, -76, -52, 91, -91, 60, 90, 86].\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": "363", "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\":[-9,-87,-25,81,-82,-77,-64,49,75,-52]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":363}]"} {"id": "python/three_independent_target/79/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 46}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-29, -94, -51, 99, 5, -62, -35, 91, -25, 12].\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\nDefine task_3_input = {\"result\": [23, 41, 34, -26, -25, 48, -92, 82, -31, 42]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [98, -98, 27, 99, 25, 98, -2, -50, 34, -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 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": "411", "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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":99},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":411}]"} {"id": "python/three_independent_target/79/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 65}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-3, 99, 95, 72, -31, 20, 56, 9, -98, 100].\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\nDefine task_3_input = {\"result\": [-4, 99, -97, 0, 21, 92, -84, 1, -75, -5]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [76, -27, -48, 94, -93, 83, 96, 57, -57, -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 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": "285", "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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":100},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":285}]"} {"id": "python/three_independent_target/79/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -11}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 19, 80, -56, -9, 39, 58, 72, -47, -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\nDefine task_3_input = {\"result\": [2, 74, 82, 44, 60, -50, 49, 45, 9, 31]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-45, 57, 92, 89, 38, -52, -94, 76, -51, 79].\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": "401", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-14,19,80,-56,-9,39,58,72,-47,-57]},{\"node_id\":\"task_3\",\"native_task_id\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":401}]"} {"id": "python/three_independent_target/80/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [84, -73, -70, 63, -63, 62, -82, 50, -98, 3]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [77, 6, -37, -89, -47, -18, -98, -13, 9, 91]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":[10,1,2,9,1,6,1,4,1,2]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/80/1", "category": "python", "topology": "three_independent_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\": [-48, -45, -72, -96, -45, -18, -6, 17, -44, -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_limit_static = -90.\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\nDefine task_2_input = {\"result\": -17}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -38, 58, 85, -82, 23, 31, 43, 3, -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 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\nDefine task_3_input = {\"result\": [36, 58, 46, -67, 10, 62, 67, 71, 54, 29]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-48,-45,-72,-96,-45,-18,-6,17,-44,-91]},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":331},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/80/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -41}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -58, 56, -38, 39, 37, -63, 2, 26, -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\nDefine task_3_input = {\"result\": [22, 15, -47, -83, 53, 41, -81, -19, -56, 97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "7", "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\":[-18,-58,56,-38,39,37,-63,2,26,-64]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/80/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 10}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -26, -49, -11, 7, 58, -86, 25, 86, -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) -> 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\nDefine task_3_input = {\"result\": [65, -36, -87, 70, -8, -80, 43, -29, 46, 54]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "7", "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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/80/4", "category": "python", "topology": "three_independent_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\": [-82, 100, 60, -90, -70, 60, 96, 77, 89, 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 = [-22, -48, 31, 80, -94, 71, 41, -68, 18, -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\nDefine task_2_input = {\"result\": 34}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -71, 83, -6, -85, 3, -31, 73, 32, 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\nDefine task_3_input = {\"result\": [90, 39, 64, -80, 45, -45, 72, 52, 91, 32]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-104,-49,89,-10,-165,128,134,6,104,28]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-31,-85,73,-6,-71,3,25,83,32,99]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/80/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 11}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -14, 33, -17, 23, -37, 51, -94, -98, -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\nDefine task_3_input = {\"result\": [-79, 81, -8, 85, 57, 60, 21, -73, -2, -78]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-17,-14,23,-7,33,-37,51,-98,-94,-34]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/80/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -64}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -40, -94, 68, 57, 6, -17, 19, 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) -> 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\nDefine task_3_input = {\"result\": [32, -73, 27, -14, -98, 38, 42, 73, -39, -5]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":12},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/80/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -95}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [35, -5, -96, -73, -94, -26, -49, 35, -72, 62]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_2\",\"native_task_id\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-59},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/80/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 68}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 23.\nDefine task_2_energy_static = [-50, 81, -15, -30, -10, 22, 6, -72, -12, 29].\nDefine task_2_experience_static = [30, 98, -81, -64, 86, -22, 27, -16, -28, 52].\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\nDefine task_3_input = {\"result\": [-44, -71, 66, 77, -85, 38, 32, 83, -2, -78]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":81},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/80/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-21, 53, 62, 18, -22, -18, 70, -17, 36, -14]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-11, -20, -56, -89, -60, 53, 53, -22, -44, 84]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":0,\"native_task_name\":\"largestDivisibleSubset:list\",\"output_value\":[36,18,-18]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/80/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -81}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-54, -89, -75, -96, 40, -77, -81, 92, 52, 65]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-79},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":4}]"} {"id": "python/three_independent_target/80/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-21, -92, 83, -15, 71, 25, -37, -6, 74, 38]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [0, 17, 94, -65, 20, -70, 16, -10, 90, -91]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/80/12", "category": "python", "topology": "three_independent_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\": [-72, -33, -26, 78, 9, 7, 54, -77, 85, 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_arr2_static = [68, -99, 45, 80, -68, -32, -91, 85, 82, -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\nDefine task_2_input = {\"result\": -12}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [0, 81, -39, 48, -62, 62, -33, -19, 40, -58].\nDefine task_2_passengers_static = [-74, -70, -48, 84, -50, -11, 24, -37, 5, 85].\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\nDefine task_3_input = {\"result\": [-75, 76, 63, -84, 76, -15, -30, 71, -79, 49]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-4,-133,16,156,-59,-25,-38,5,165,-47]},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":81},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/80/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -30}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-77, 26, 7, -61, 64, 80, 43, -36, 7, 59]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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,-29]},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/80/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [33, -85, 80, -92, -3, -95, -78, -4, -97, -73]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-14, 64, 17, -13, 93, 95, -96, -91, 45, 3]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/80/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-80, -43, 70, -59, 37, 10, -89, -65, 20, -32]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -97.\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\nDefine task_3_input = {\"result\": [-50, 70, -9, 74, -73, 26, -89, 68, -99, 53]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "7", "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\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":70},{\"node_id\":\"task_3\",\"native_task_id\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/81/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-33, 8, 54, 78, 14, -41, 69, 7, 85, -61]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 48.\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\nDefine task_3_input = {\"result\": [91, -26, -52, -31, 63, 90, 64, 26, 18, 92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":8},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/81/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-1, -20, 93, 13, 31, 95, 92, -86, 48, 70]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 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\nDefine task_3_input = {\"result\": [57, -95, 100, 33, 93, -44, -9, 91, 68, 98]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "7", "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\":33,\"native_task_name\":\"findWinningPlayer:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/81/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [18, 76, 95, -12, -58, 87, -62, 91, 13, 30]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [52, -7, -53, 30, -61, -43, 46, -85, 65, 10]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":8}]"} {"id": "python/three_independent_target/81/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [20, -53, 99, 62, -12, -15, -72, -29, 29, 66]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 67.\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\nDefine task_3_input = {\"result\": [94, -9, -61, 14, 67, -74, 82, -45, 82, 16]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":[-72,-53,-29,-15,-12,20,29,62,66,99]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/81/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [26, -43, -19, 59, 25, 36, -41, -62, -97, 92]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 g = [1] * n\n for i in range(1, n):\n if list_2[i] > list_2[i - 1]:\n f[i] = f[i - 1] + 1\n ans = 0\n for i in range(n - 2, -1, -1):\n if list_2[i] > list_2[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_2 = ans\n return python_result_2\n```\nLet python_result_2 be the value returned by task_2.\nOutput the result as task_2_out = {\"result\": python_result_2}, replacing python_result_2 with its calculated value.\n\nDefine task_3_input = {\"result\": [12, 27, -40, -22, 97, 57, -38, -14, -92, -23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":21,\"native_task_name\":\"longestMountain:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/81/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [4, 8, 92, 48, 78, 8, -30, 51, -5, -13]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [94, -63, -6, 24, 83, 7, -63, -42, 32, -7]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":110},{\"node_id\":\"task_2\",\"native_task_id\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":83},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/81/6", "category": "python", "topology": "three_independent_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\": -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_buses_static = [13, 22, -18, -47, 5, -59, 69, -35, -52, -84].\nDefine task_1_passengers_static = [76, 83, 15, 89, 69, -47, 70, -75, 88, -6].\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\nDefine task_2_input = {\"result\": [-87, -35, -52, 64, 30, 76, 0, -43, -65, 3]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 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\nDefine task_3_input = {\"result\": [24, 48, -18, -86, -24, 62, -22, 88, -55, -70]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":68},{\"node_id\":\"task_2\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":30},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/81/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -41}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [93, 21, 79, 16, -32, -41, 32, 33, 56, -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\nDefine task_3_input = {\"result\": [-85, -67, -38, -57, 91, -63, -78, -46, 88, 39]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":93},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/81/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 73}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-43, -96, 66, 91, -99, 7, -71, 97, 43, -70].\nDefine task_2_passengers_static = [8, 31, 31, 68, 88, -65, 98, -30, 33, -54].\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\nDefine task_3_input = {\"result\": [-66, -27, 47, 64, 38, -59, 87, 79, 55, -1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-78,-30,-110]},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":97},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/81/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-31, -19, -73, 15, -5, 65, 76, 52, -93, 1]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [63, -68, -45, 48, -1, 16, -86, 2, 48, -98]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-31,-31,-31,5,5,65,65,52,1,1]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/81/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-71, 18, 52, 59, -22, -4, -26, -31, 67, 3]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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\nDefine task_3_input = {\"result\": [-17, -92, -48, 100, 4, 16, -95, 69, -9, 68]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":[-71,18,52,59,-22,-4,-26,-31,67,3]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/81/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -79}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 98.\nDefine task_2_energy_static = [95, 12, -1, -10, 78, -76, 52, -1, 67, -95].\nDefine task_2_experience_static = [68, -67, -81, 30, 64, -16, -3, 68, -28, -3].\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\nDefine task_3_input = {\"result\": [35, -94, -96, 24, 74, 88, 37, -41, -39, -8]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":218},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/81/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [69, -69, 61, -38, -76, -35, -68, 35, 81, -68]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-93, 73, -50, 99, 61, 67, 70, 33, 95, -97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":15,\"native_task_name\":\"candy:list\",\"output_value\":18},{\"node_id\":\"task_2\",\"native_task_id\":72,\"native_task_name\":\"distinctDifferenceArray:list\",\"output_value\":[-7,-5,-3,-1,1,3,4,6,8,9]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/81/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 83}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 86, -39, 1, -92, -86, -23, 1, 9, 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\nDefine task_3_input = {\"result\": [-40, 89, -16, -45, 4, -33, -91, 35, -67, -77]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":59},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-92,-86,-39,-29,-23,1,1,9,18,86]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/81/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-44, 73, 77, 20, 76, -11, -74, -64, -95, -4]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-37, -56, -55, 78, 69, -12, 95, -39, 56, 91]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":9}]"} {"id": "python/three_independent_target/81/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [1, -12, 42, 74, -47, 57, 39, -94, 85, 13]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-62, 63, 40, 53, 11, -37, 59, -63, 11, -56]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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\":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\":[1,1,42,42,39,39,39,13,13,13]},{\"node_id\":\"task_3\",\"native_task_id\":81,\"native_task_name\":\"getMaxLen:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/82/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -11}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": 74}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 77.\nDefine task_3_bound_static = 82.\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": "[2,78,75]", "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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-11},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,78,75]}]"} {"id": "python/three_independent_target/82/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -12}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 76, 97, -2, 67, 94, -100, -37, -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\nDefine task_3_input = {\"result\": 42}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = -82.\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,-81]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-6,76,97,-2,67,94,-100,-37,-52,-56]},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-81]}]"} {"id": "python/three_independent_target/82/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 59}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 33, 86, -36, -56, -75, 60, 41, 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\nDefine task_3_input = {\"result\": -67}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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,-66,-64,-58,-40,14]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-81,-75,-56,-36,-7,33,37,41,60,86]},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,4,10,28,-66,-64,-58,-40,14]}]"} {"id": "python/three_independent_target/82/3", "category": "python", "topology": "three_independent_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\": [15, -16, 54, -29, 70, -13, -18, -37, 13, 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\nDefine task_2_input = {\"result\": -39}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-77, 98, 38, -48, -95, 18, 20, -4, 34, -73].\nDefine task_2_passengers_static = [97, 84, 85, -14, 37, 89, -44, -56, 2, 92].\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\nDefine task_3_input = {\"result\": -35}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 39.\nDefine task_3_bound_static = 17.\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,-34,4]", "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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":98},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-34,4]}]"} {"id": "python/three_independent_target/82/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-51, -66, 44, -51, 62, -38, -49, -3, 35, -94]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -73}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = -9.\nDefine task_3_bound_static = 24.\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,-72,-82,8,-802]", "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\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":106},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-8,-72,-82,8,-802]}]"} {"id": "python/three_independent_target/82/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [70, -93, -8, -85, 29, 11, 40, -30, -42, 97]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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\nDefine task_3_input = {\"result\": 89}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = -37.\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,-36]", "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\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[70,-93,-8,-85,29,11,40,-30,-42,97]},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-36]}]"} {"id": "python/three_independent_target/82/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [61, 38, 3, -69, -19, -9, 90, -69, -56, 9]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -21}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = -63.\nDefine task_3_bound_static = 97.\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,-62,-20,-84]", "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\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[6,5,4,1,2,3,10,1,2,3]},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-62,-20,-84]}]"} {"id": "python/three_independent_target/82/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -64}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": 77}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 32.\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,-56]", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-63,8]},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-56]}]"} {"id": "python/three_independent_target/82/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [31, 95, 6, 66, 73, -73, -85, 76, -27, 90]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -32}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 71.\nDefine task_3_bound_static = 75.\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": "[2,72,-31,39]", "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\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[95,66,6,6,6,0,0,0,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,72,-31,39]}]"} {"id": "python/three_independent_target/82/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -92}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -75, 84, -89, 48, -87, 64, 61, -31, 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\nDefine task_3_input = {\"result\": 95}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 21.\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]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-43,-75,84,-89,48,-87,64,61,-31,18]},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,19]}]"} {"id": "python/three_independent_target/82/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -31}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -43, 98, -56, -4, -3, 93, 1, 60, 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\nDefine task_3_input = {\"result\": 10}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 73.\nDefine task_3_bound_static = 61.\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\":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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[91,-43,98,-56,-4,-3,93,1,60,90]},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,11]}]"} {"id": "python/three_independent_target/82/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-88, -65, -28, -87, -22, -68, -39, 63, -81, -64]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-58, 29, 71, 88, -36, -10, -16, -59, -48, -57].\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\nDefine task_3_input = {\"result\": -71}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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,-70,13]", "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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-57,-48,-59,-16,-10,-36,88,71,29,-58,-88,-65,-28,-87,-22,-68,-39,63,-81,-64]},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-70,13]}]"} {"id": "python/three_independent_target/82/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -72}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 71, 90, -66, -99, 51, -39, 65, 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\nDefine task_3_input = {\"result\": 68}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 7.\nDefine task_3_bound_static = 83.\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": "[2,8,50,69,75]", "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\":[85,71,90,-66,-99,51,-39,65,26,57]},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,8,50,69,75]}]"} {"id": "python/three_independent_target/82/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [92, 29, -82, 51, -46, 75, -90, -20, 90, 0]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 91}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = -14.\nDefine task_3_bound_static = 96.\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,-13,92,77]", "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\":57,\"native_task_name\":\"maxScore:list\",\"output_value\":720},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-13,92,77]}]"} {"id": "python/three_independent_target/82/14", "category": "python", "topology": "three_independent_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\": -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_y_static = 82.\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\nDefine task_2_input = {\"result\": -31}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -17, 32, -80, 59, -3, 91, -29, -27, 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\nDefine task_3_input = {\"result\": -28}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = 4.\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,-27,-114]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,83,-90,-9]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[42,-17,32,-80,59,-3,91,-29,-27,8]},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-85,-27,-114]}]"} {"id": "python/three_independent_target/82/15", "category": "python", "topology": "three_independent_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\": 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_tokens_static = [-48, -5, 43, -98, 3, 72, 29, -32, -77, -7].\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\nDefine task_2_input = {\"result\": 20}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -40, 2, 30, 69, 80, -33, -85, -28, 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 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\nDefine task_3_input = {\"result\": -24}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = -7.\nDefine task_3_bound_static = 93.\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,-6,50,-342,-23,-31,25,-367]", "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\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":37},{\"node_id\":\"task_3\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-6,50,-342,-23,-31,25,-367]}]"} {"id": "python/three_independent_target/83/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -20}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -77, 59, 94, 60, -31, -24, 97, -85, -84].\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\nDefine task_3_input = {\"result\": [-99, -66, -97, -64, -32, -98, -23, 71, -94, -44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "10070", "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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-10},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":10070}]"} {"id": "python/three_independent_target/83/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-52, 3, -90, 30, 5, 30, -91, 12, 34, 7]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [43, -83, 22, 20, -15, 75, 38, 27, 24, 29]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "3627", "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\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":3627}]"} {"id": "python/three_independent_target/83/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 48}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -58, 28, -72, 13, -21, 45, -82, -58, -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\nDefine task_3_input = {\"result\": [64, -3, -96, 5, 50, 82, 63, 66, -16, -67]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "6771", "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,-72,-58,-58,-21,13,28,31,45]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":6771}]"} {"id": "python/three_independent_target/83/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 3}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -74, -25, 73, -44, -62, 77, -27, 20, 69].\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\nDefine task_3_input = {\"result\": [-59, -51, 69, 75, 45, -54, -41, 74, -95, -20]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "4655", "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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":73},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":4655}]"} {"id": "python/three_independent_target/83/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 84}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 36, -35, -70, -72, 60, -67, 38, 57, 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\nDefine task_3_input = {\"result\": [-94, -64, -53, -82, -65, 94, 25, 59, 41, 36]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "9926", "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,-72,-70,-67,-35,33,36,38,57,60]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":9926}]"} {"id": "python/three_independent_target/83/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [31, -3, -10, 3, -34, -50, 65, 11, 43, -28]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, 46, -57, -76, 97, -95, 98, 30, 98, -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\nDefine task_3_input = {\"result\": [-30, -60, -21, -99, 12, -49, 3, 96, -62, -51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "8017", "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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-52,98,30,-95,97,-76,-57,46,-30,31,-3,-10,3,-34,-50,65,11,43,-28]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":8017}]"} {"id": "python/three_independent_target/83/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [11, -51, -91, -57, -78, -15, -26, -44, -56, 70]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [90, -32, -55, -16, -70, 27, -65, -90, 8, 51]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "4495", "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\":68,\"native_task_name\":\"numOfWays:list\",\"output_value\":629},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":4495}]"} {"id": "python/three_independent_target/83/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -89}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [64, -89, 57, 31, 65, 88, -91, 18, 58, -36]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "4725", "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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-89},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":4725}]"} {"id": "python/three_independent_target/83/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-70, 74, 22, 12, 97, 87, -80, -90, 88, -95]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [92, 40, 35, 90, -63, -11, -94, -29, -54, -62]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "6262", "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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[-70,22,22,22,87,87,-80,-80,-80,-95]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":6262}]"} {"id": "python/three_independent_target/83/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 54}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -55, 95, 28, 53, 84, 51, 38, 60, 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\nDefine task_3_input = {\"result\": [17, 46, -99, 93, 58, -100, -88, -45, -46, -24]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "9990", "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\":[2,-55,28,34,38,51,53,60,84,95]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":9990}]"} {"id": "python/three_independent_target/83/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -25}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 17, 42, -99, 90, 40, 63, -44, 90, -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\nDefine task_3_input = {\"result\": [-49, 68, 98, 93, 92, 43, -34, 93, -75, -22]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "3006", "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\":[90,17,42,-99,90,40,63,-44,90,-51]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":3006}]"} {"id": "python/three_independent_target/83/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -84}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 35, 11, 84, 8, 31, -67, -70, 86, -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\nDefine task_3_input = {\"result\": [-72, -49, 58, 2, -28, 63, -83, 52, 50, 86]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "4173", "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\":[-59,35,11,84,8,31,-67,-70,86,-1]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":4173}]"} {"id": "python/three_independent_target/83/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-10, 56, -34, 16, -11, 13, 4, -63, 81, -79]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [89, -56, -97, -74, -71, -87, -59, 4, 20, 3].\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\nDefine task_3_input = {\"result\": [37, -58, -79, -2, 16, 20, 76, -81, -50, 68]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "4533", "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\":46,\"native_task_name\":\"findContentChildren:list\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":4533}]"} {"id": "python/three_independent_target/83/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -78}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-79, -87, 10, -34, -66, -94, 51, -33, -21, -44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "5886", "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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-78},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":5886}]"} {"id": "python/three_independent_target/83/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-84, -44, 12, -38, -55, 63, 9, -46, -15, 57]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [79, -73, -94, 37, -88, 30, -59, -100, 29, 46]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "9985", "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\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":9985}]"} {"id": "python/three_independent_target/83/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 69}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -76, -88, -15, 7, 43, -22, -1, 62, -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\nDefine task_3_input = {\"result\": [31, -67, 19, -46, 52, 82, 4, -23, -90, -11]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep only the 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": "4060", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-88,-76,-61,-22,-15,-1,5,7,43,62]},{\"node_id\":\"task_3\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":4060}]"} {"id": "python/three_independent_target/84/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 20}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -95, -2, -80, 95, 61, -50, -95, 34, 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) -> 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\nDefine task_3_input = {\"result\": [-86, -14, 41, -77, 52, -49, -72, -43, -29, -74]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-14,41,52,52,-1,-43,-43,-29,-14,-14]", "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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-14,41,52,52,-1,-43,-43,-29,-14,-14]}]"} {"id": "python/three_independent_target/84/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -7}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-89, 6, 2, 11, 73, -8, 96, 22, 19, -44].\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\nDefine task_3_input = {\"result\": [-25, -10, -46, 29, 71, 42, -68, 25, -88, 0]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-10,29,29,71,-1,71,25,29,0,29]", "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\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-10,29,29,71,-1,71,25,29,0,29]}]"} {"id": "python/three_independent_target/84/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [27, 36, 81, -94, -2, 58, -32, 97, 43, 33]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-85, 69, -13, -74, 80, -25, -77, -45, 51, -29]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[69,80,80,80,-1,51,-45,51,69,69]", "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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[220,157,40,53,149,93,67,2,138,214]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[69,80,80,80,-1,51,-45,51,69,69]}]"} {"id": "python/three_independent_target/84/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-44, -24, -84, -41, -3, 79, 49, -71, -12, 29]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [44, -53, -78, 43, 78, 69, -62, 94, -83, 94]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[78,43,43,78,94,94,94,-1,94,-1]", "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\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":79},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[78,43,43,78,94,94,94,-1,94,-1]}]"} {"id": "python/three_independent_target/84/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-84, -55, 26, -16, 85, 15, 79, 21, 76, 16]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [57, -53, 56, -20, -100, -25, 56, 87, -4, -72]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[87,56,87,0,56,56,87,-1,57,57]", "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\":19,\"native_task_name\":\"longestSubarray:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[87,56,87,0,56,56,87,-1,57,57]}]"} {"id": "python/three_independent_target/84/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [41, 2, -15, 91, -85, -76, 18, -14, -74, -1]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [32, 85, -6, -16, 51, -12, -69, 10, -14, -73]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[85,-1,51,51,85,10,10,32,32,32]", "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\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[85,-1,51,51,85,10,10,32,32,32]}]"} {"id": "python/three_independent_target/84/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -2}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -91, 87, -32, -7, 11, 80, -4, 37, -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\nDefine task_3_input = {\"result\": [-97, 5, 13, -5, -61, 7, 34, -21, -80, 54]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[5,13,34,7,7,34,54,54,54,-1]", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[47,-91,87,-32,-7,11,80,-4,37,-48]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[5,13,34,7,7,34,54,54,54,-1]}]"} {"id": "python/three_independent_target/84/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -25}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -57, -47, -86, 51, 69, 39, 15, -50, -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) -> 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\nDefine task_3_input = {\"result\": [-39, -38, 71, 92, -84, -86, 96, 87, -10, 37]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-38,71,92,96,96,96,-1,92,37,71]", "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\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":40},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-38,71,92,96,96,96,-1,92,37,71]}]"} {"id": "python/three_independent_target/84/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [82, -92, -55, -67, 80, -4, 49, -41, 79, -82]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-12, 31, 43, -34, -30, 96, 33, 64, 60, 81].\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\nDefine task_3_input = {\"result\": [-82, 34, 58, -7, -27, -37, 86, -75, 37, 23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[34,58,86,86,86,86,-1,37,58,34]", "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\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[34,58,86,86,86,86,-1,37,58,34]}]"} {"id": "python/three_independent_target/84/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -92}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 72, 35, 97, -82, -86, 30, 20, 17, -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\nDefine task_3_input = {\"result\": [-10, 16, -79, -5, 6, -48, 95, -50, -51, 69]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[16,95,-5,6,95,95,-1,69,69,95]", "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\":[12,72,35,97,-82,-86,30,20,17,-64]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[16,95,-5,6,95,95,-1,69,69,95]}]"} {"id": "python/three_independent_target/84/10", "category": "python", "topology": "three_independent_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\": [-98, 25, 39, -75, 93, -5, -22, -44, -54, 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 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\nDefine task_2_input = {\"result\": -75}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [-19, -22, 19, 65, 67, -55, -44, 100, -32, -27]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[19,19,65,67,-1,-44,0,19,-27,-19]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,1,2,1,0,4,3,2,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-36,-74,-112]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[19,19,65,67,-1,-44,0,19,-27,-19]}]"} {"id": "python/three_independent_target/84/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [76, 88, -35, 3, 9, 94, 2, 74, -35, 58]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, -100, 23, -13, 1, 42, 2, 53, 60, -34].\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\nDefine task_3_input = {\"result\": [-22, 34, -41, -82, 96, 78, -3, 24, 47, -4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[34,96,96,96,-1,96,24,47,96,34]", "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,-12,-12,-11,7,133,1,124,22,22]},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[34,96,96,96,-1,96,24,47,96,34]}]"} {"id": "python/three_independent_target/84/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-56, 50, -33, 24, -24, -39, -4, 51, -13, -85]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-89, 99, -67, 19, -65, 63, 39, -12, -65, 61]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[99,-1,19,63,63,99,61,61,61,99]", "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\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[99,-1,19,63,63,99,61,61,61,99]}]"} {"id": "python/three_independent_target/84/13", "category": "python", "topology": "three_independent_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\": [-4, -75, -89, -43, -83, 23, 57, -34, 7, -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]) -> 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\nDefine task_2_input = {\"result\": [93, 98, 8, -77, 95, -47, 1, 53, -57, -68]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [63, 48, -6, 68, 14, -29, -45, 93, -53, 58]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[68,68,68,93,93,93,93,-1,58,63]", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":87},{\"node_id\":\"task_2\",\"native_task_id\":5,\"native_task_name\":\"minimumOperations:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[68,68,68,93,93,93,93,-1,58,63]}]"} {"id": "python/three_independent_target/84/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 44}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -18, -15, 3, -99, 5, 77, -72, 71, -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 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\nDefine task_3_input = {\"result\": [12, 27, 21, -53, 92, -5, -56, 20, -47, -55]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[27,92,92,92,-1,20,20,27,12,12]", "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\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":139},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[27,92,92,92,-1,20,20,27,12,12]}]"} {"id": "python/three_independent_target/84/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-21, 18, -87, -71, 18, 63, 60, 58, 100, -46]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-87, -93, -70, 49, 35, 55, -25, 19, -64, -62]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[-70,-70,49,55,55,-1,19,49,-62,49]", "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\":10,\"native_task_name\":\"movesToMakeZigzag:list\",\"output_value\":140},{\"node_id\":\"task_3\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[-70,-70,49,55,55,-1,19,49,-62,49]}]"} {"id": "python/three_independent_target/85/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 19}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -35, 28, -55, -59, 42, 88, -67, 67, 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\nDefine task_3_input = {\"result\": [100, -73, -18, 60, 63, -51, -16, -6, -56, -63]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -34.\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\":[-1,-35,28,-67,-59,42,88,-55,67,98]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/85/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -71}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -74, 79, -74, -69, -33, 15, -7, -61, -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 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\nDefine task_3_input = {\"result\": [57, 7, 49, 70, -22, 17, 15, -41, 26, -56]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "9", "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\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":90},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/85/2", "category": "python", "topology": "three_independent_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\": [61, -80, 73, -90, 0, -64, 72, 18, -11, 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 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\nDefine task_2_input = {\"result\": [-12, -15, 58, 45, 84, -66, -33, -70, 53, 30]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-44, 7, -35, -29, -33, -17, -40, -43, -39, -5]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -42.\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\":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\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-12,30,58,-70,84,-66,-33,45,53,-15]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/85/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-93, -2, -48, -20, 26, -5, 14, 29, 15, 8]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-58, 12, 92, 26, 84, 27, 80, 39, -28, -52]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 51.\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\":1,\"native_task_name\":\"longestWPI:list\",\"output_value\":3},{\"node_id\":\"task_2\",\"native_task_id\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/85/4", "category": "python", "topology": "three_independent_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\": 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 = [32, 17, -25, -14, -7, -25, -32, -64, 64, -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\nDefine task_2_input = {\"result\": -81}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -51, -11, -4, -51, 80, 65, -41, -1, -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\nDefine task_3_input = {\"result\": [23, -98, 40, 8, 21, 83, 68, 85, -97, 77]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "8", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-64,-32,-28,-25,-25,-14,-7,17,32,64]},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":247},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/85/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [8, 37, 30, 37, -32, -24, -82, -31, 45, 62]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [50, -16, 66, -76, 51, 14, -3, 45, 10, 48]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 2.\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": "6", "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\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":3893},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/85/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [11, 45, 41, -56, 25, -3, 94, -44, -86, -67]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [18, 70, -2, 72, -75, 16, -37, 77, -33, 35]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 1.\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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":272},{\"node_id\":\"task_2\",\"native_task_id\":63,\"native_task_name\":\"numberOfAlternatingGroups:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/85/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 80}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 10, -14, -50, 38, 21, 59, 33, -78, 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) -> 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\nDefine task_3_input = {\"result\": [29, -16, 97, 80, -13, 54, -5, 21, -82, -60]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "9", "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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":91},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/85/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -13}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 91, 27, -85, -13, -45, 16, 44, -46, 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\nDefine task_3_input = {\"result\": [75, -58, 71, 75, -63, -16, 5, 25, -75, 1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -51.\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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":-38},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[93,91,27,-85,-13,-45,16,44,-46,46]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/85/9", "category": "python", "topology": "three_independent_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\": 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_skills_static = [-85, 67, 6, -95, 95, 58, 10, 86, -17, 28].\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\nDefine task_2_input = {\"result\": [65, -16, 75, 100, -55, -51, 51, 40, 81, -96]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-65, 71, 82, -73, -8, -25, 49, -66, -76, 45]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 51.\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\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[2,1,8,3,1,2,5,1,10,1]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/85/10", "category": "python", "topology": "three_independent_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\": 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 = [-70, -70, 87, 80, -85, -47, -56, -20, 18, -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\nDefine task_2_input = {\"result\": -5}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -51, -42, 91, -25, 97, -86, 4, 7, 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\nDefine task_3_input = {\"result\": [62, -44, -48, 40, 90, 61, 81, -93, -47, -38]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -88.\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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-85,-70,-70,-67,-56,-47,-20,18,80,87]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[17,-51,-42,91,-25,97,-86,4,7,96]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/85/11", "category": "python", "topology": "three_independent_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\": -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 = [66, -52, 86, -1, -16, -41, -44, 87, 58, -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 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\nDefine task_2_input = {\"result\": 20}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 75, 24, -79, -92, 98, 54, -72, 35, 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) -> 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\nDefine task_3_input = {\"result\": [-17, 19, 86, -93, -84, -67, 92, -48, 84, -30]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 28.\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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":223},{\"node_id\":\"task_2\",\"native_task_id\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":64},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/85/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 14}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -75.\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\nDefine task_3_input = {\"result\": [-18, -20, -42, -41, 78, 60, -39, 90, 4, -97]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 48.\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\":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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-74,15,-61]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/85/13", "category": "python", "topology": "three_independent_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\": [46, -1, 31, -66, -87, -37, -28, 65, 88, -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_target_static = 91.\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\nDefine task_2_input = {\"result\": 60}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -11, -7, -77, 19, -86, -86, 43, 71, 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\nDefine task_3_input = {\"result\": [11, -44, -1, -6, -47, 28, -16, 19, 37, 23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -29.\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\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":105},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-87,-11,-7,-86,4,-86,-77,19,43,71]},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/85/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 91}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [74, -8, 14, -22, -68, -30, 77, 75, 40, -88]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -82.\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\":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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":19},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":8}]"} {"id": "python/three_independent_target/85/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 67}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 86, -85, -81, -13, 19, -93, -52, 15, 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) -> 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\nDefine task_3_input = {\"result\": [-66, 4, 18, 29, 12, 49, -33, -90, -7, 42]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 94.\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\":80,\"native_task_name\":\"distinctPrimeFactors:list\",\"output_value\":7},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":192},{\"node_id\":\"task_3\",\"native_task_id\":85,\"native_task_name\":\"bagOfTokensScore:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/86/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 59}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": 67}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-76, 77, 35, 77, -28, -36, 16, -67, 3, -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\":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\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":23},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10}]"} {"id": "python/three_independent_target/86/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [55, 3, 89, -37, -15, 12, -37, -11, -13, -15]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 22}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-97, -90, -42, -28, 56, 50, 2, 94, -47, -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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":55},{\"node_id\":\"task_2\",\"native_task_id\":51,\"native_task_name\":\"incremovableSubarrayCount:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10}]"} {"id": "python/three_independent_target/86/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-55, 22, -76, -78, 52, -66, -80, -60, -48, -62]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -75.\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\nDefine task_3_input = {\"result\": 50}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [100, 29, -54, -62, 47, 3, -83, 98, -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": "9", "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\":101},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":9}]"} {"id": "python/three_independent_target/86/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 57}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -28.\nDefine task_2_energy_static = [-95, 37, -2, -82, -25, 61, 84, 34, -22, 40].\nDefine task_2_experience_static = [40, 7, 93, 10, 17, 85, -15, 20, -46, 54].\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\nDefine task_3_input = {\"result\": 99}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-10, 84, -72, -48, 40, 9, 56, -18, -55, -88].\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\":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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":75},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10}]"} {"id": "python/three_independent_target/86/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 74}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-34, -87, -29, -91, 91, -41, 67, 67, -22, -45].\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\nDefine task_3_input = {\"result\": 23}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -58, -12, -30, -87, -26, 34, -78, 58, 23].\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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10}]"} {"id": "python/three_independent_target/86/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-52, 59, 70, 80, -35, -2, -32, 80, -72, 48]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 2.\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\nDefine task_3_input = {\"result\": -27}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [37, 38, -97, 44, 94, 90, -16, -96, 97, -47].\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\":27,\"native_task_name\":\"sumFourDivisors:list\",\"output_value\":96},{\"node_id\":\"task_2\",\"native_task_id\":64,\"native_task_name\":\"countSubarrays:list\",\"output_value\":12},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8}]"} {"id": "python/three_independent_target/86/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [87, 77, 79, -26, -22, -97, -42, -73, -31, -93]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [39, -54, -73, 64, 5, -56, -64, 90, 4, -87].\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\nDefine task_3_input = {\"result\": -13}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-76, -5, -84, -17, 84, 29, 29, 95, 38, -46].\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\":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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-87,4,90,-64,-56,5,64,-73,-54,39,87,77,79,-26,-22,-97,-42,-31,-93]},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":9}]"} {"id": "python/three_independent_target/86/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [97, 81, 81, -58, 13, -10, 65, -79, 18, 67]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 8}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -36, 58, 7, -80, 39, -91, 35, 63, -64].\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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[178,0,162,185,140,143,198,184,123,208]},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10}]"} {"id": "python/three_independent_target/86/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 73}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": -48}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-28, -9, 35, -1, 19, -79, -60, 56, 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": "8", "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\":27},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8}]"} {"id": "python/three_independent_target/86/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-65, -93, 7, -96, -97, 69, 72, 1, -34, -12]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 100}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-45, 43, 28, -87, -8, -66, 57, -65, -3, 59].\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\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-12,-34,72,-96,-97,69,7,1,-93,-65]},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10}]"} {"id": "python/three_independent_target/86/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -30}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 60, -36, 16, -76, -40, -83, 72, 70, 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) -> 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\nDefine task_3_input = {\"result\": -73}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [83, 40, 10, 91, -94, 59, 28, -20, 16, -25].\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\":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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":46},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":7}]"} {"id": "python/three_independent_target/86/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-67, 46, -90, 100, -2, -10, 37, -53, 34, 95]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -63}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-92, 8, -13, -49, 87, 47, 92, -7, 8, -18].\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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":5},{\"node_id\":\"task_2\",\"native_task_id\":83,\"native_task_name\":\"maximumBooks:list\",\"output_value\":5512},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8}]"} {"id": "python/three_independent_target/86/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 70}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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\nDefine task_3_input = {\"result\": 58}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [37, 27, -8, 40, 18, -45, -83, -23, -85, -65].\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,-56,27,-31]},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-70]},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10}]"} {"id": "python/three_independent_target/86/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [60, 75, -17, -40, -97, 2, -52, 0, 58, 83]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -51}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [72, 28, -33, 32, 44, -70, -97, 51, 9, -4].\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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,17]},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,2704,4,9409,1600,289,3364,5625,3600,6889]},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":8}]"} {"id": "python/three_independent_target/86/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [30, 62, 56, -4, -21, 47, 99, -83, 54, 79]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [4, -43, -100, 42, 80, 3, 55, 57, -91, -75].\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\nDefine task_3_input = {\"result\": -54}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [12, 8, 83, -43, -96, -65, -68, 30, -35, 28].\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\":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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-75,-91,57,55,3,80,42,-100,-43,4,30,62,56,-4,-21,47,99,-83,54,79]},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10}]"} {"id": "python/three_independent_target/86/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-91, 44, 3, 91, -87, -96, 33, 87, 61, -14]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -90.\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\nDefine task_3_input = {\"result\": -72}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -68, 80, 42, 50, 20, -6, -84, 10, 47].\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\":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\":91},{\"node_id\":\"task_3\",\"native_task_id\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":7}]"} {"id": "python/three_independent_target/87/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [84, 74, -9, -79, -40, 15, 76, -77, 32, 82]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-60, -7, -22, 17, 68, -67, 73, 81, 8, -2]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-64, -2, 68, -49, 51, 33, -50, -32, 58, -12].\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": "[-124,-10,44,-33,117,-35,20,46,64,-14]", "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\":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\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-124,-10,44,-33,117,-35,20,46,64,-14]}]"} {"id": "python/three_independent_target/87/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [73, -98, 71, 97, -98, 84, 40, 72, -21, -97]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, 91, -85, 1, -50, 45, 72, -85, 29, 44].\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\nDefine task_3_input = {\"result\": [54, -35, -36, -6, -92, -8, 64, -47, 54, -87]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-40, 27, -10, 82, -11, -34, 18, -15, -51, 85].\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": "[1,1,12,-8,-47,74,-103,-43,80,-63,1,-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\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[44,29,-85,72,45,-50,1,91,63,73,-98,71,97,-98,84,40,-21,-97]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,12,-8,-47,74,-103,-43,80,-63,1,-2]}]"} {"id": "python/three_independent_target/87/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 58}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 87, -73, -35, 82, 94, 63, 95, 18, -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) -> 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\nDefine task_3_input = {\"result\": [32, -63, -2, -55, -47, 48, -82, 9, -3, 23]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [86, 85, -50, -78, -99, 41, -87, 26, 71, 37].\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": "[1,1,115,20,-52,-133,-147,87,-170,32,65,58]", "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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":52},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,115,20,-52,-133,-147,87,-170,32,65,58]}]"} {"id": "python/three_independent_target/87/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-98, 87, -82, 22, -68, -35, -2, 59, 26, 75]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -25.\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\nDefine task_3_input = {\"result\": [31, 40, -68, -67, -3, 63, -98, 68, 61, 74]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -53, 12, 57, 74, -60, 49, -91, -48, -5].\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": "[-2,-13,-56,-11,68,1,-49,-24,10,67]", "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\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":70},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-2,-13,-56,-11,68,1,-49,-24,10,67]}]"} {"id": "python/three_independent_target/87/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [77, 8, 85, -87, 23, -28, 64, -49, -74, 23]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -76.\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\nDefine task_3_input = {\"result\": [-50, 6, 33, -2, -88, 71, -44, -36, -94, -57]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-11, -83, 0, 29, 93, -96, 80, -98, -2, 21].\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": "[-61,-78,30,24,3,-26,34,-134,-96,-36]", "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\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":21},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-61,-78,30,24,3,-26,34,-134,-96,-36]}]"} {"id": "python/three_independent_target/87/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 36}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-31, 100, -6, 41, -5, 25, 44, 90, -72, 43].\nDefine task_2_passengers_static = [-16, 47, -2, 85, -82, 37, 36, 83, -84, 87].\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\nDefine task_3_input = {\"result\": [86, -87, 85, -78, -68, -81, 68, 25, -87, -60]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-31, 99, 25, 2, -81, 26, -19, -30, -91, -26].\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": "[1,1,52,9,108,-76,-149,-56,47,-5,-178,-86]", "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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":100},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,52,9,108,-76,-149,-56,47,-5,-178,-86]}]"} {"id": "python/three_independent_target/87/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-62, 68, 33, -31, 87, -70, -72, 74, 4, -99]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [43, 90, -31, -43, -90, 18, 32, 69, 41, -8]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, -49, -84, 59, 19, -78, 34, 71, 49, 39].\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": "[1,1,117,39,-116,14,-71,-61,63,137,87,29]", "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\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[1,4,2,1,10,2,1,5,2,1]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,117,39,-116,14,-71,-61,63,137,87,29]}]"} {"id": "python/three_independent_target/87/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 13}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -22, 36, 19, 4, -86, -43, -69, -7, 11].\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\nDefine task_3_input = {\"result\": [-81, -14, -19, 19, -42, -46, 68, 62, 93, 82]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [26, -84, 71, -9, 93, -6, 42, 64, -24, 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": "[-55,-99,49,7,49,-53,107,123,66,113]", "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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":59},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-55,-99,49,7,49,-53,107,123,66,113]}]"} {"id": "python/three_independent_target/87/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-61, -33, 79, 85, 76, -74, -90, -45, -86, 18]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [80, 56, -33, 51, 79, 50, -43, -23, -83, -10]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-31, 35, 17, -22, -3, 13, -43, 32, 69, -63].\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": "[1,1,46,89,-17,26,73,61,-87,7,-14,-73]", "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\":32,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":228},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,46,89,-17,26,73,61,-87,7,-14,-73]}]"} {"id": "python/three_independent_target/87/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [64, -96, 30, 79, -24, -98, -100, -29, 70, 37]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [93, 43, 11, 32, -3, 25, 55, -42, 82, -58]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [31, -62, -80, 41, -41, -14, 97, -31, 17, -94].\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": "[1,1,122,-19,-70,71,-45,8,150,-74,97,-152]", "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\":15,\"native_task_name\":\"candy:list\",\"output_value\":17},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,122,-19,-70,71,-45,8,150,-74,97,-152]}]"} {"id": "python/three_independent_target/87/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [88, 63, -67, 84, 11, -90, -43, -84, -44, -49]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [45, 51, 31, 37, -87, -5, 81, -19, 15, -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\nDefine task_3_input = {\"result\": [-79, 99, -74, 70, 95, 68, 72, -55, -32, 99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [51, 6, 84, -8, -11, -82, 99, 44, -27, 22].\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": "[-29,102,7,59,82,-15,169,-11,-60,119]", "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\":[-78,15,-19,81,-5,-87,37,31,51,45,88,63,-67,84,11,-90,-43,-84,-44,-49]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-29,102,7,59,82,-15,169,-11,-60,119]}]"} {"id": "python/three_independent_target/87/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 44}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-19, 65, -87, 37, 12, -32, 14, 40, -52, -96]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [-39, 27, -28, -62, 83, -81, -17, 62, 71, 80].\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": "[-59,90,-115,-26,93,-113,-4,99,17,-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\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":19},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-59,90,-115,-26,93,-113,-4,99,17,-16]}]"} {"id": "python/three_independent_target/87/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [18, 82, -67, -47, 16, 76, 31, -91, 71, -33]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-87, -37, 98, -51, -50, -39, -82, 29, -83, -92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [72, -78, 83, -40, -74, -48, -95, -45, 25, 98].\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": "[-15,-116,179,-91,-124,-87,-177,-16,-59,4]", "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\":[1,10,1,2,3,8,2,1,4,1]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-15,-116,179,-91,-124,-87,-177,-16,-59,4]}]"} {"id": "python/three_independent_target/87/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [55, -65, 82, -8, 59, 56, 65, 59, -48, 21]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [50, 88, -37, -56, -65, 56, 51, 34, 26, -40]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [20, 10, 53, -69, 81, -4, 41, -5, -77, 26].\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": "[1,1,67,95,14,-126,13,49,89,27,-51,-14]", "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\":56,\"native_task_name\":\"largestRectangleArea:list\",\"output_value\":224},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,67,95,14,-126,13,49,89,27,-51,-14]}]"} {"id": "python/three_independent_target/87/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 95}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [91, 33, 42, 7, -77, 88, 29, -61, 16, -78].\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\nDefine task_3_input = {\"result\": [84, -8, -40, 13, -99, 85, -16, 15, -47, 81]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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, 50, 67, -17, -61, -99, -90, 69, -81, 3].\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": "[1,1,68,39,25,-4,-160,-14,-107,82,-129,82]", "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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,68,39,25,-4,-160,-14,-107,82,-129,82]}]"} {"id": "python/three_independent_target/87/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [76, -78, 64, -78, -67, 11, -2, -49, -37, 34]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [52, 51, 57, 95, 13, -30, -29, -30, -20, -49]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = [61, -74, -72, 9, 91, 49, -18, -50, -22, 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": "[1,1,111,-23,-16,101,101,17,-47,-80,-42,-20]", "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\":44,\"native_task_name\":\"maximumLengthOfRanges:list\",\"output_value\":[10,1,9,1,2,6,3,1,2,7]},{\"node_id\":\"task_3\",\"native_task_id\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[1,1,111,-23,-16,101,101,17,-47,-80,-42,-20]}]"} {"id": "python/three_independent_target/88/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [20, -36, -62, 25, 22, 5, 39, 65, -46, -6]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [19, 26, 32, 63, 92, 61, 36, 65, 65, 89]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -88.\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": "765", "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\":9,\"native_task_name\":\"numberOfSubarrays:list\",\"output_value\":10},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":765}]"} {"id": "python/three_independent_target/88/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 94}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 11, -73, -43, -84, 16, 43, -9, -4, 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\nDefine task_3_input = {\"result\": [48, 54, -21, 67, 54, 68, -89, 66, 84, -47]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "7", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-84,-73,-52,-43,-9,-4,11,16,30,43]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/88/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 42}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 91.\nDefine task_2_energy_static = [65, 10, -99, 33, -76, 60, -76, -31, 95, 49].\nDefine task_2_experience_static = [-91, 85, 45, 41, -86, -89, 35, 0, -42, 47].\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\nDefine task_3_input = {\"result\": [-63, -58, 72, -99, -12, -18, -43, -3, -60, 85]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "273", "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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":86},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":273}]"} {"id": "python/three_independent_target/88/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [31, 33, 13, -6, 5, -39, 17, 100, 8, 8]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-19, 60, 77, -15, 33, -96, -99, -61, 97, -52]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "58", "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\":[0,289,1521,25,36,64,64,169,1089,961]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":58}]"} {"id": "python/three_independent_target/88/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -11}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, 39, -80, 90, 47, -83, 56, 39, -1, -54].\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\nDefine task_3_input = {\"result\": [-38, 98, 66, 49, -97, 52, 6, 34, -20, 29]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "386", "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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":283},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":386}]"} {"id": "python/three_independent_target/88/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-3, -14, -25, -58, -100, -17, -26, 12, -60, 51]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [65, -57, -63, 19, -19, 87, 41, -34, 100, 33]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -83.\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": "344", "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\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[-60,-14,12,-58,0,-26,-17,-25,-3,51]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":344}]"} {"id": "python/three_independent_target/88/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-41, 22, 90, -47, 87, 66, 81, 13, 51, -42]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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_passengers_static = [57, 48, 70, 34, -17, 85, 49, 64, -71, -86].\nDefine task_2_capacity_static = -71.\nTrace the execution of task_2 with inputs passengers = task_2_passengers_static, capacity = task_2_capacity_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], passengers: List[int], capacity: int) -> int:\n list_2.sort()\n passengers.sort()\n j = 0\n for t in list_2:\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_2[-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\nDefine task_3_input = {\"result\": [-66, -69, -46, -30, -59, -70, 54, 78, 39, 99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "239", "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\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":90},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":239}]"} {"id": "python/three_independent_target/88/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 7}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -24, 41, 17, -13, 97, 65, 23, 73, -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) -> 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\nDefine task_3_input = {\"result\": [-100, -25, 75, 78, 51, 99, 0, 85, -4, -4]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "33", "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\":43,\"native_task_name\":\"threeSumSmaller:scalar\",\"output_value\":11},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":33}]"} {"id": "python/three_independent_target/88/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -17}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 56, 8, -37, 18, -62, 3, 85, 31, -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\nDefine task_3_input = {\"result\": [7, 79, -42, -97, -22, -13, -35, -85, 14, -98]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "258", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[39,56,8,-37,18,-62,3,85,31,-62]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":258}]"} {"id": "python/three_independent_target/88/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [69, -52, 82, 46, 41, 93, -45, -31, -75, 2]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [67, -43, -8, -74, 89, 66, -66, 91, 31, 2]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-86},{\"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\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":11}]"} {"id": "python/three_independent_target/88/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [80, 61, 4, 46, -63, -93, 36, -2, -22, -2]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [-18, -40, 98, 22, -4, 88, 32, -12, 54, 99].\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\nDefine task_3_input = {\"result\": [0, 26, 72, -43, -12, 49, -68, 32, 60, -50]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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": "21", "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\":74,\"native_task_name\":\"maxBoxesInWarehouse:list\",\"output_value\":3},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":21}]"} {"id": "python/three_independent_target/88/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [34, 75, -64, 22, -84, 68, -10, -81, 69, 46]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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\nDefine task_3_input = {\"result\": [-53, -25, 30, 38, -73, -9, -24, -92, 37, -87]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "49", "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\":[-10,22,-84,34,-81,46,68,-64,69,75]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":49}]"} {"id": "python/three_independent_target/88/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-11, -27, -79, 28, -73, 83, 37, -20, 39, 69]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [46, -36, -85, -35, 67, 88, 88, 20, -29, 46]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -96.\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": "457", "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\":457}]"} {"id": "python/three_independent_target/88/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [38, -90, 70, 98, 57, -79, 89, 98, -10, 39]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [52, -9, -72, -93, 50, 76, 69, 66, 99, 30]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 66.\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\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,1,0,2,1,1,0,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":14}]"} {"id": "python/three_independent_target/88/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -3}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 40.\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\nDefine task_3_input = {\"result\": [14, 0, -34, 80, -45, 9, 51, 96, -58, -33]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 58.\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": "100", "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]},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":100}]"} {"id": "python/three_independent_target/88/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -36}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [14, -41, -69, 65, 46, -92, -92, -18, -9, -8]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 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": "191", "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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-63},{\"node_id\":\"task_3\",\"native_task_id\":88,\"native_task_name\":\"minOperationsToMakeMedianK:list\",\"output_value\":191}]"} {"id": "python/three_independent_target/89/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [42, -37, 39, -97, 52, -15, 10, 53, -9, 54]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 54}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -69, -91, -12, -100, 88, -37, 90, 44, 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 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": "68", "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\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[52,39,52,52,53,10,53,54,54,-1]},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":68}]"} {"id": "python/three_independent_target/89/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -65}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-14, -6, 12, 80, -13, 3, -10, 56, 40, -10].\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\nDefine task_3_input = {\"result\": -68}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-8, -53, 71, 100, -8, 27, -92, 59, 14, -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) -> 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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":114},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-65},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":217}]"} {"id": "python/three_independent_target/89/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [70, 67, -4, 61, -73, 90, 40, 25, -10, 98]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 32.\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\nDefine task_3_input = {\"result\": 77}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 16, -31, 21, 41, -46, -14, 68, -69, -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) -> 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": "253", "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\":7,\"native_task_name\":\"lexicographicallySmallestArray:list\",\"output_value\":[-10,-4,25,40,-73,61,67,70,90,98]},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":253}]"} {"id": "python/three_independent_target/89/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 20}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -75, -35, -27, -88, -90, 83, -59, 96, 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\nDefine task_3_input = {\"result\": -64}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-74, -61, 98, -1, -2, -69, 7, 65, -88, 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 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": "128", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[59,-90,-35,-27,-88,-75,83,-59,85,96]},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":128}]"} {"id": "python/three_independent_target/89/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [32, -11, 68, 5, -79, 80, 81, -2, 92, -2]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, -83, -66, 56, -58, -41, -44, 66, 73, 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]) -> 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\nDefine task_3_input = {\"result\": -24}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-40, -46, 61, -56, 88, 4, 13, 29, 34, 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 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": "98", "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\":6,\"native_task_name\":\"maximumProcessableQueries:list\",\"output_value\":9},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":98}]"} {"id": "python/three_independent_target/89/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 98}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": 99}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [29, 37, -87, 73, 76, -83, 33, 2, -90, -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) -> 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": "247", "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\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":247}]"} {"id": "python/three_independent_target/89/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 69}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 23, 38, 93, -94, 83, 14, 68, -91, 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\nDefine task_3_input = {\"result\": -48}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 48, -53, 30, 1, 96, -33, 11, -64, -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 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": "86", "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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-94,14,23,38,-91,68,73,83,-61,93]},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":86}]"} {"id": "python/three_independent_target/89/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [58, -56, 45, 8, 62, -52, 57, -78, 62, -74]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": 90}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -79, -24, 97, -6, -40, 96, 53, -22, 7].\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": "216", "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\":15},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":216}]"} {"id": "python/three_independent_target/89/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -84}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": -44}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-77, -18, 1, 76, -48, 21, 78, -39, -71, 41].\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": "76", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,50,-83,-35]},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":76}]"} {"id": "python/three_independent_target/89/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 92}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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\nDefine task_3_input = {\"result\": 24}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 82, -90, 46, -76, 66, 0, 15, -72, -48].\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": "9", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-63]},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":9}]"} {"id": "python/three_independent_target/89/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 37}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": 97}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-5, -43, -27, -40, 19, 38, 56, -100, -51, -86].\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": "404", "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,-84,38,-48]},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":404}]"} {"id": "python/three_independent_target/89/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-26, 87, 66, 74, 69, 47, -33, -29, 77, -5]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": -35}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-97, -68, 54, 2, -37, 9, 20, -98, 12, -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": "37", "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\":391},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":37}]"} {"id": "python/three_independent_target/89/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [44, 22, -61, 39, -15, 42, 1, -23, -96, 28]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 95.\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\nDefine task_3_input = {\"result\": -62}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 76, 90, 78, -37, -19, 29, -22, -71, -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) -> 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": "212", "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\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":113},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":212}]"} {"id": "python/three_independent_target/89/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -4}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-92, 68, -75, -94, -92, -4, 63, -81, -40, 99].\nDefine task_2_passengers_static = [6, 45, -67, -37, 65, -100, 95, -10, -59, -2].\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\nDefine task_3_input = {\"result\": 35}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-87, 59, -81, 66, 1, 70, -97, 18, 95, 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) -> 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": "24", "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\":99},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":24}]"} {"id": "python/three_independent_target/89/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 45}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -98, -29, -73, 83, -13, 84, 50, 38, -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\nDefine task_3_input = {\"result\": -37}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 38, 12, 63, -100, -2, -9, -16, -90, 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 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": "104", "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\":[-98,-73,-29,-17,-13,21,38,50,83,84]},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":104}]"} {"id": "python/three_independent_target/89/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -38}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [28, -62, -57, 36, -39, -80, 34, -94, 38, 66].\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\nDefine task_3_input = {\"result\": 22}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 36, -93, -82, -7, -98, -68, -27, -25, -92].\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": "125", "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\":-38},{\"node_id\":\"task_3\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":125}]"} {"id": "python/three_independent_target/90/0", "category": "python", "topology": "three_independent_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\": 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, 57, -68, 97, -23, 21, 64, -32, 64, -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\nDefine task_2_input = {\"result\": 79}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 77, -96, 73, 85, -86, -63, -82, -90, 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\nDefine task_3_input = {\"result\": 5}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-16,57,-68,97,-23,21,64,-32,64,-11]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[71,73,-96,77,85,-90,-86,-82,-63,94]},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5}]"} {"id": "python/three_independent_target/90/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [71, 11, -54, -48, -21, -53, 100, 3, 95, 18]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 92}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":18,\"native_task_name\":\"transformArray:list\",\"output_value\":[71,11,-48,-48,-37,-37,0,3,18,18]},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5}]"} {"id": "python/three_independent_target/90/2", "category": "python", "topology": "three_independent_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\": [-65, -8, 23, -80, 33, -78, 93, 38, 43, -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_queries_static = [32, 14, 11, -78, -79, -90, 81, 4, 79, 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\nDefine task_2_input = {\"result\": [-98, 46, 75, -50, -27, -8, 6, 26, -61, 97]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 78.\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\nDefine task_3_input = {\"result\": 61}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "61", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[33,79,4,81,-90,-79,-78,11,14,32,-65,-8,23,-80,93,38,43]},{\"node_id\":\"task_2\",\"native_task_id\":35,\"native_task_name\":\"kConcatenationMaxSum:list\",\"output_value\":583},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":61}]"} {"id": "python/three_independent_target/90/3", "category": "python", "topology": "three_independent_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\": -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 = [-14, -50, 90, 17, 9, 95, 99, 76, 10, 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\nDefine task_2_input = {\"result\": -61}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 52, 19, 99, -67, -36, 42, -53, 30, -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\nDefine task_3_input = {\"result\": 61}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "61", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-14,-50,90,17,9,95,99,76,10,52]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-1,52,19,99,-67,-36,42,-53,30,-96]},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":61}]"} {"id": "python/three_independent_target/90/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -94}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 92.\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\nDefine task_3_input = {\"result\": 51}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":17},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,6,26,-93,-89,-69,31]},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5}]"} {"id": "python/three_independent_target/90/5", "category": "python", "topology": "three_independent_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\": [82, -94, 40, -59, -22, -12, -13, -77, -94, -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 = [-48, -35, 53, -46, -22, -49, 63, 34, 88, 69].\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\nDefine task_2_input = {\"result\": -22}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 16, 100, 84, -37, 73, -38, -85, -22, -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\nDefine task_3_input = {\"result\": 93}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "19", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[69,88,34,63,-49,-22,-46,53,-35,-48,82,-94,40,-59,-12,-13,-77,-94,-15]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-79,16,100,84,-37,73,-38,-85,-22,-37]},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":19}]"} {"id": "python/three_independent_target/90/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 49}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [86, 53, 49, 54, 17, 40, -71, -94, 8, -60].\nDefine task_2_capacityB_static = 6.\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\nDefine task_3_input = {\"result\": 96}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "13", "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\":38,\"native_task_name\":\"minimumRefill:scalar\",\"output_value\":5},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":13}]"} {"id": "python/three_independent_target/90/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [15, 75, -12, 47, -100, -3, 49, 59, 19, 19]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 25}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":79,\"native_task_name\":\"maximumsSplicedArray:list\",\"output_value\":161},{\"node_id\":\"task_2\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,9,2209,144,5625,225,2401,3481,361,361]},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7}]"} {"id": "python/three_independent_target/90/8", "category": "python", "topology": "three_independent_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\": 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_y_static = -85.\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\nDefine task_2_input = {\"result\": [2, 59, 92, -22, -76, 12, 2, -48, 70, -20]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [53, 34, 39, 53, -90, -72, 91, -7, 10, 51].\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\nDefine task_3_input = {\"result\": 61}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "61", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-84,66,-20]},{\"node_id\":\"task_2\",\"native_task_id\":13,\"native_task_name\":\"minOperations:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":61}]"} {"id": "python/three_independent_target/90/9", "category": "python", "topology": "three_independent_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\": [-75, 12, 57, -19, -50, 3, -17, -98, 62, 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 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\nDefine task_2_input = {\"result\": [-58, -75, -36, 27, 84, -37, 58, 94, -62, 69]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, 92, 54, -48, 27, 36, -80, 16, 10, -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\nDefine task_3_input = {\"result\": 7}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,9,8,7,6,5,4,2,3,2]},{\"node_id\":\"task_2\",\"native_task_id\":20,\"native_task_name\":\"simulationResult:list\",\"output_value\":[-14,10,16,-80,36,27,-48,54,92,52,-58,-75,-36,84,-37,58,94,-62,69]},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7}]"} {"id": "python/three_independent_target/90/10", "category": "python", "topology": "three_independent_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\": [42, 38, 50, 95, 4, -31, -85, 31, 58, 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_target_static = -17.\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\nDefine task_2_input = {\"result\": 52}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": 56}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "13", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":42,\"native_task_name\":\"threeSumSmaller:list\",\"output_value\":17},{\"node_id\":\"task_2\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":17},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":13}]"} {"id": "python/three_independent_target/90/11", "category": "python", "topology": "three_independent_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\": [5, 56, 79, 38, -42, 62, 44, 87, 22, 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 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\nDefine task_2_input = {\"result\": [-74, 60, 30, -33, -6, -100, 42, 62, -38, 57]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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 v in list_2:\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_2 = len(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\nDefine task_3_input = {\"result\": 86}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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": "11", "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\":66,\"native_task_name\":\"maxChunksToSorted:list\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":11}]"} {"id": "python/three_independent_target/90/12", "category": "python", "topology": "three_independent_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\": 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.\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\nDefine task_2_input = {\"result\": 71}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 27, 45, 58, 8, -72, 45, -54, 80, 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\nDefine task_3_input = {\"result\": 94}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":97},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-72,-54,8,27,45,45,58,71,80,87]},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5}]"} {"id": "python/three_independent_target/90/13", "category": "python", "topology": "three_independent_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\": 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.\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\nDefine task_2_input = {\"result\": 23}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [2, -15, -39, 68, -84, 60, 42, -6, -65, 85].\nDefine task_2_passengers_static = [-89, -91, 1, 18, 11, 32, 79, 93, -4, -44].\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\nDefine task_3_input = {\"result\": 49}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":23,\"native_task_name\":\"monotoneIncreasingDigits:scalar\",\"output_value\":33},{\"node_id\":\"task_2\",\"native_task_id\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":85},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5}]"} {"id": "python/three_independent_target/90/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -3}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [42, 40, -61, -2, -92, -5, 1, 19, 98, 62].\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\nDefine task_3_input = {\"result\": 46}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,8]},{\"node_id\":\"task_2\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-3},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":7}]"} {"id": "python/three_independent_target/90/15", "category": "python", "topology": "three_independent_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\": [1, -98, 10, 51, 72, 12, -58, 97, -64, -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 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\nDefine task_2_input = {\"result\": [79, 60, 32, 23, -42, 10, 91, 56, -47, -5]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 27}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\":67,\"native_task_name\":\"maximumSumOfHeights:list\",\"output_value\":-295},{\"node_id\":\"task_2\",\"native_task_id\":22,\"native_task_name\":\"sortArrayByParity:list\",\"output_value\":[56,60,32,10,-42,23,91,79,-47,-5]},{\"node_id\":\"task_3\",\"native_task_id\":90,\"native_task_name\":\"smallestValue:scalar\",\"output_value\":5}]"} {"id": "python/three_independent_target/91/0", "category": "python", "topology": "three_independent_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\": [74, -53, -44, -94, 79, 18, 31, 86, 48, 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 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\nDefine task_2_input = {\"result\": -20}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 100.\nDefine task_2_energy_static = [84, -88, 55, 61, 12, -51, -68, -60, -90, 21].\nDefine task_2_experience_static = [-21, -66, -60, -15, 93, -76, 89, -62, -57, -84].\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\nDefine task_3_input = {\"result\": [23, -25, 44, 66, 16, 31, -49, 87, -45, -12]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 93.\nDefine task_3_runningCost_static = -29.\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": "37", "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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":156},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":37}]"} {"id": "python/three_independent_target/91/1", "category": "python", "topology": "three_independent_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\": [78, -9, -49, -54, 63, -81, -29, 34, 98, 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 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\nDefine task_2_input = {\"result\": [-26, 21, 55, -58, 47, 66, 61, -9, 78, -13]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [-14, -87, 43, 91, -5, -63, -93, 10, 53, -40]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -52.\nDefine task_3_runningCost_static = -77.\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": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[81,2401,2916,3969,6561,841,1156,6084,9604,6724]},{\"node_id\":\"task_2\",\"native_task_id\":77,\"native_task_name\":\"minOperations:list\",\"output_value\":4},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/91/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -79}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-89, 37, 77, 74, -51, -52, -17, -92, -16, 13].\nDefine task_2_passengers_static = [33, 12, -64, 76, 92, 27, -32, 77, -72, 14].\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\nDefine task_3_input = {\"result\": [16, -4, -93, 90, -74, 36, 24, -90, -23, -75]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -9.\nDefine task_3_runningCost_static = -49.\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": "10", "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\":3,\"native_task_name\":\"latestTimeCatchTheBus:scalar\",\"output_value\":75},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/91/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 64}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [93, 20, 1, 58, 18, 65, 69, 47, 24, 57]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 84.\nDefine task_3_runningCost_static = -25.\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": "113", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-75]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":113}]"} {"id": "python/three_independent_target/91/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 62}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -51, -60, -16, -21, 31, -38, -67, -68, 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) -> 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\nDefine task_3_input = {\"result\": [25, 27, -5, -24, 72, -51, 11, -60, -64, -24]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -8.\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": "7", "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\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":330},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/91/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [7, 95, -63, -62, 57, 26, 48, -62, -54, 1]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-66, -85, 43, -49, 33, -50, 72, -72, 64, 44]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -77.\nDefine task_3_runningCost_static = 79.\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\":24,\"native_task_name\":\"wiggleMaxLength:list\",\"output_value\":8},{\"node_id\":\"task_2\",\"native_task_id\":84,\"native_task_name\":\"nextGreaterElements:list\",\"output_value\":[95,-1,-62,57,95,48,95,-54,1,7]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/91/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -22}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-60, -76, 7, -13, 79, -15, 80, -39, 61, 53].\nDefine task_2_runningCost_static = 89.\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\nDefine task_3_input = {\"result\": [98, -1, 6, -87, 30, -63, 48, 10, -41, -94]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -39.\nDefine task_3_runningCost_static = -90.\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": "10", "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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":2},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":10}]"} {"id": "python/three_independent_target/91/7", "category": "python", "topology": "three_independent_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\": [87, 52, -91, 40, -58, 99, 75, 70, 52, 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]) -> 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\nDefine task_2_input = {\"result\": [15, 68, -1, -25, 33, -82, 98, -99, -42, -15]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-26, -73, 5, -20, -45, 65, 0, 73, 91, 92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -13.\nDefine task_3_runningCost_static = -79.\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": "86", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":11,\"native_task_name\":\"findMaximums:list\",\"output_value\":[99,75,70,52,19,0,0,0,0,0]},{\"node_id\":\"task_2\",\"native_task_id\":49,\"native_task_name\":\"canSeePersonsCount:list\",\"output_value\":[1,3,2,1,2,1,3,1,1,0]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":86}]"} {"id": "python/three_independent_target/91/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 90}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [77, -16, -81, -54, -57, 54, 5, -57, 27, 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\nDefine task_3_input = {\"result\": [34, 55, -99, 100, -13, 100, -78, -86, -19, 95]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -68.\nDefine task_3_runningCost_static = -46.\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\":86,\"native_task_name\":\"bagOfTokensScore:scalar\",\"output_value\":10},{\"node_id\":\"task_2\",\"native_task_id\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":199},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":9}]"} {"id": "python/three_independent_target/91/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 48}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-76, -31, 46, -99, 17, -56, -99, 66, -28, -76].\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\nDefine task_3_input = {\"result\": [78, -18, -57, 61, 19, -3, -99, 8, 89, -77]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -82.\nDefine task_3_runningCost_static = 46.\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": "7", "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\":36,\"native_task_name\":\"kConcatenationMaxSum:scalar\",\"output_value\":66},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/91/10", "category": "python", "topology": "three_independent_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\": -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 = -73.\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\nDefine task_2_input = {\"result\": [-82, 84, 34, -70, -35, 55, 23, -40, 82, -37]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [58, -100, 81, -5, -37, -97, 17, 66, 75, -8]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -28.\nDefine task_3_runningCost_static = -69.\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,-72,-28,-102]},{\"node_id\":\"task_2\",\"native_task_id\":16,\"native_task_name\":\"asteroidCollision:list\",\"output_value\":[-82,84,55,82]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":6}]"} {"id": "python/three_independent_target/91/11", "category": "python", "topology": "three_independent_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\": -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 = [57, -71, -69, -86, 49, 51, -32, 6, 4, 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\nDefine task_2_input = {\"result\": [58, 3, 1, 9, -51, -5, 51, 66, -100, 6]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-31, -14, 14, 8, 84, -13, -4, 46, -40, 36]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 60.\nDefine task_3_runningCost_static = -25.\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": "35", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-88},{\"node_id\":\"task_2\",\"native_task_id\":28,\"native_task_name\":\"pancakeSort:list\",\"output_value\":[10,7,9,8,7,2,6,5,4,3,2]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":35}]"} {"id": "python/three_independent_target/91/12", "category": "python", "topology": "three_independent_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\": 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 = [-22, -7, 91, 75, 11, -39, 9, 49, 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) -> 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\nDefine task_2_input = {\"result\": -18}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -1, 54, 52, 47, 91, 15, 11, 71, -27].\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\nDefine task_3_input = {\"result\": [-69, -68, -32, 19, -71, 50, 48, 50, 79, -99]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -34.\nDefine task_3_runningCost_static = -22.\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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":4},{\"node_id\":\"task_2\",\"native_task_id\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":91},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":5}]"} {"id": "python/three_independent_target/91/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 27}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [56, -32, 86, -44, -72, 0, 93, -11, 44, 92]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 63.\nDefine task_3_runningCost_static = 0.\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": "61", "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\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":14},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":61}]"} {"id": "python/three_independent_target/91/14", "category": "python", "topology": "three_independent_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\": -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 = [23, -51, -79, -58, -97, 20, 37, -10, 79, -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\nDefine task_2_input = {\"result\": 31}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [49, 25, 14, 28, 2, 3, 38, -35, 100, -72]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = 29.\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": "13", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[23,-51,-79,-58,-97,20,37,-10,79,-19]},{\"node_id\":\"task_2\",\"native_task_id\":52,\"native_task_name\":\"minimumBoxes:scalar\",\"output_value\":15},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":13}]"} {"id": "python/three_independent_target/91/15", "category": "python", "topology": "three_independent_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\": 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 = -8.\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\nDefine task_2_input = {\"result\": [-85, -36, -42, -100, -8, -21, -84, -63, 65, 48]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [50, 68, 71, -13, -75, -62, 23, -93, 53, -47]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value 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 = -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": "7", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-7,20,11]},{\"node_id\":\"task_2\",\"native_task_id\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[141,20,58,100,108,137,242,389,387,274]},{\"node_id\":\"task_3\",\"native_task_id\":91,\"native_task_name\":\"minOperationsMaxProfit:list\",\"output_value\":7}]"} {"id": "python/three_independent_target/92/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 98}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, 84, 8, -96, 24, 26, 92, 47, -68, -26].\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\nDefine task_3_input = {\"result\": 77}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [78, -30, -72, -82, 48, -59, 76, 52, -21, 23].\nDefine task_3_runningCost_static = 50.\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\":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\":48,\"native_task_name\":\"getWinner:scalar\",\"output_value\":92},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":2}]"} {"id": "python/three_independent_target/92/1", "category": "python", "topology": "three_independent_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\": [-13, -40, -95, -69, 71, 88, 0, 4, -53, -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_capacityA_static = -23.\nDefine task_1_capacityB_static = -35.\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\nDefine task_2_input = {\"result\": 14}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -29, 86, 35, 86, -85, 65, -86, 8, 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\nDefine task_3_input = {\"result\": 0}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-41, -68, -6, 93, 84, 18, -76, -22, 33, -9].\nDefine task_3_runningCost_static = -46.\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": "34", "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\":[-70,-29,86,35,86,-86,65,-85,8,66]},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":34}]"} {"id": "python/three_independent_target/92/2", "category": "python", "topology": "three_independent_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\": [-46, 34, -23, -97, -65, 91, 81, -83, -48, 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\nDefine task_2_input = {\"result\": [70, -88, -82, -86, -19, -22, -58, -59, -30, -62]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": -20}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, 5, -54, 39, -43, -7, -32, -77, -46, -98].\nDefine task_3_runningCost_static = -22.\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": "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\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[0,1,2,1,0,0,2,1,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":10}]"} {"id": "python/three_independent_target/92/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 94}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [55, -43, -55, -69, -86, -77, 57, -4, 10, -11].\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\nDefine task_3_input = {\"result\": -99}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-68, 60, 11, -83, -43, -99, -64, -97, -64, -91].\nDefine task_3_runningCost_static = 79.\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": "10", "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\":34,\"native_task_name\":\"findWinningPlayer:scalar\",\"output_value\":6},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":10}]"} {"id": "python/three_independent_target/92/4", "category": "python", "topology": "three_independent_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\": [21, -100, -70, -58, -1, 84, -62, 1, 54, 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_k_static = 52.\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\nDefine task_2_input = {\"result\": 93}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": -17}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-42, -41, 60, -5, 85, -21, 25, -3, 6, 83].\nDefine task_3_runningCost_static = 33.\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\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":84},{\"node_id\":\"task_2\",\"native_task_id\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-80,94,12]},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":2}]"} {"id": "python/three_independent_target/92/5", "category": "python", "topology": "three_independent_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\": -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 = 88.\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\nDefine task_2_input = {\"result\": 11}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 49, -59, 40, -49, -28, 89, 98, 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\nDefine task_3_input = {\"result\": -89}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [90, 9, -19, -83, -89, -83, -47, -51, 51, 96].\nDefine task_3_runningCost_static = -93.\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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-32,55]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[8,40,-59,49,-49,-31,89,98,58,-28]},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":8}]"} {"id": "python/three_independent_target/92/6", "category": "python", "topology": "three_independent_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\": [-90, 9, 55, -100, -21, -57, -45, -37, -89, 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_s_static = [46, 46, -72, -89, -42, -98, 32, -20, 98, -99].\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\nDefine task_2_input = {\"result\": [90, 24, 67, -50, 54, 30, 79, 70, -94, 11]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": 84}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-99, -68, 41, -54, 60, 26, -14, 78, 69, 63].\nDefine task_3_runningCost_static = -12.\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": "75", "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\":50,\"native_task_name\":\"leftRightDifference:list\",\"output_value\":[191,77,14,31,35,119,228,377,353,270]},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":75}]"} {"id": "python/three_independent_target/92/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -34}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": 58}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [2, -33, 88, -87, 58, 34, 24, -19, -23, -29].\nDefine task_3_runningCost_static = -43.\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": "16", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-33]},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":16}]"} {"id": "python/three_independent_target/92/8", "category": "python", "topology": "three_independent_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\": 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 = -52.\nDefine task_1_energy_static = [-39, 7, -19, 93, 78, -64, -12, -2, -83, -21].\nDefine task_1_experience_static = [5, -26, -46, -78, -49, 85, 3, 90, 11, 13].\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\nDefine task_2_input = {\"result\": -80}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = -3.\nDefine task_2_energy_static = [-61, 56, -99, -24, 62, 80, -65, 79, 67, 22].\nDefine task_2_experience_static = [94, 44, -68, -23, 37, 14, 3, 51, 56, 55].\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\nDefine task_3_input = {\"result\": -53}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-3, 3, 54, -71, -38, 1, -19, -50, 84, -91].\nDefine task_3_runningCost_static = 35.\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": "10", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":332},{\"node_id\":\"task_2\",\"native_task_id\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":296},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":10}]"} {"id": "python/three_independent_target/92/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -55}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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, -63, 50, -93, -67, -69, 88, -39, 57, 61].\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\nDefine task_3_input = {\"result\": 65}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -71, 84, -37, 38, 86, 24, 43, -68, -24].\nDefine task_3_runningCost_static = -42.\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": "39", "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\":88},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":39}]"} {"id": "python/three_independent_target/92/10", "category": "python", "topology": "three_independent_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\": [-45, -52, 63, 38, 91, -66, -45, 36, -53, -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 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\nDefine task_2_input = {\"result\": -50}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 84, 46, -94, -11, -80, -47, 14, -23, 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) -> 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\nDefine task_3_input = {\"result\": -88}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [37, 42, -60, -81, -46, -89, 60, 44, 41, 61].\nDefine task_3_runningCost_static = 21.\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": "6", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":31,\"native_task_name\":\"maximumSum:list\",\"output_value\":192},{\"node_id\":\"task_2\",\"native_task_id\":26,\"native_task_name\":\"minArrayLength:scalar\",\"output_value\":7},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":6}]"} {"id": "python/three_independent_target/92/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 2}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 41, -50, 7, -63, 83, -69, -88, 96, 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\nDefine task_3_input = {\"result\": -5}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-20, -66, 58, -3, -4, -15, -9, 37, 48, 14].\nDefine task_3_runningCost_static = 1.\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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":68},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-50,41,-49,7,-63,83,-69,-88,96,83]},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":2}]"} {"id": "python/three_independent_target/92/12", "category": "python", "topology": "three_independent_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\": -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.\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\nDefine task_2_input = {\"result\": -10}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": -47}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -72, -40, 16, -85, 3, 62, 75, 46, -58].\nDefine task_3_runningCost_static = -51.\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\":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,-83,-9,-94]},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":5}]"} {"id": "python/three_independent_target/92/13", "category": "python", "topology": "three_independent_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\": -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 = [58, 57, 95, 43, -84, -11, 43, -83, -62, -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) -> 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\nDefine task_2_input = {\"result\": -47}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-28, 74, -25, -57, -87, 73, 1, 41, -16, -86].\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\nDefine task_3_input = {\"result\": 3}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-73, -14, 57, 75, -76, 60, 75, 53, 98, -58].\nDefine task_3_runningCost_static = -23.\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\":26,\"native_task_name\":\"minArrayLength:scalar\",\"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\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":73}]"} {"id": "python/three_independent_target/92/14", "category": "python", "topology": "three_independent_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\": [-23, 16, 66, -39, 99, 26, 99, 44, -70, 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\nDefine task_2_input = {\"result\": 29}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, -63, -66, 100, 59, -39, -16, -14, 79, -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\nDefine task_3_input = {\"result\": 0}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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 = [-40, -91, -53, 97, 42, 54, 71, 97, 79, 18].\nDefine task_3_runningCost_static = -39.\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": "118", "node_outputs_json": "[{\"node_id\":\"task_1\",\"native_task_id\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[1,1,2,1,0,1,0,2,1,0]},{\"node_id\":\"task_2\",\"native_task_id\":8,\"native_task_name\":\"lexicographicallySmallestArray:scalar\",\"output_value\":[-66,-63,-44,59,79,-39,-27,-16,100,-14]},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":118}]"} {"id": "python/three_independent_target/92/15", "category": "python", "topology": "three_independent_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\": 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 = [-13, 41, -74, 12, 98, -98, 69, 36, 63, 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\nDefine task_2_input = {\"result\": -40}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 43, 6, 25, 31, -61, 43, -3, -17, -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) -> 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\nDefine task_3_input = {\"result\": -6}.\nTask 3:\nLet val_3 be the result of preprocessing task_3_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 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, -84, -37, 46, -97, 46, -47, -91, 21, -12].\nDefine task_3_runningCost_static = 62.\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\":[-13,12,-98,32,98,-74,36,41,63,69]},{\"node_id\":\"task_2\",\"native_task_id\":89,\"native_task_name\":\"minOperationsToMakeMedianK:scalar\",\"output_value\":106},{\"node_id\":\"task_3\",\"native_task_id\":92,\"native_task_name\":\"minOperationsMaxProfit:scalar\",\"output_value\":8}]"} {"id": "python/three_independent_target/93/0", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -93}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = [-87, -91, -23, -34, -91, -9, -16, -45, -58, 78].\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\nDefine task_3_input = {\"result\": [93, 94, 35, 41, 100, -79, 11, -58, -89, 70]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[0,6241,121,1681,1225,3364,7921,4900,8836,8649]", "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\":59,\"native_task_name\":\"findKthPositive:scalar\",\"output_value\":-93},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[0,6241,121,1681,1225,3364,7921,4900,8836,8649]}]"} {"id": "python/three_independent_target/93/1", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -77}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [-48, -45, -3, 77, -3, 83, 99, 52, 8, -53]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[9,5929,9,6889,9801,2704,64,2025,2304,2809]", "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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-77},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[9,5929,9,6889,9801,2704,64,2025,2304,2809]}]"} {"id": "python/three_independent_target/93/2", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [59, 10, 88, 11, -86, -34, -82, -78, 42, -72]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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, 73, -28, 32, 64, -52, -88, -41, -95, 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 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\nDefine task_3_input = {\"result\": [-28, 59, 16, 24, -27, -40, -67, -14, -65, 36]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[196,4489,1600,729,576,256,3481,784,4225,1296]", "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\":45,\"native_task_name\":\"maxSum:list\",\"output_value\":999999865},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[196,4489,1600,729,576,256,3481,784,4225,1296]}]"} {"id": "python/three_independent_target/93/3", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 36}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 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\nDefine task_3_input = {\"result\": [10, -71, 13, 36, 24, 83, 95, -78, 82, -5]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[25,6724,6084,9025,6889,576,1296,169,5041,100]", "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,-27,37,8]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[25,6724,6084,9025,6889,576,1296,169,5041,100]}]"} {"id": "python/three_independent_target/93/4", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [41, -72, -66, -54, -15, -89, -16, 93, -2, 53]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-85, -8, -85, -25, 75, -49, 63, -9, 45, -1]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,2025,81,3969,2401,5625,625,7225,64,7225]", "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\":[-2,-72,-66,-54,-16,-89,-15,93,41,53]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,2025,81,3969,2401,5625,625,7225,64,7225]}]"} {"id": "python/three_independent_target/93/5", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -11}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 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, 27, 15, -2, 12, -32, 79, -97, -47, -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) -> 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\nDefine task_3_input = {\"result\": [-60, -59, 89, -52, -49, 67, -13, 89, 87, -48]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[169,7921,7569,2304,4489,2401,2704,7921,3481,3600]", "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\":65,\"native_task_name\":\"countSubarrays:scalar\",\"output_value\":110},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[169,7921,7569,2304,4489,2401,2704,7921,3481,3600]}]"} {"id": "python/three_independent_target/93/6", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -73}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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\nDefine task_3_input = {\"result\": [8, 39, -76, 62, 35, 40, -70, 74, 86, -11]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[64,1521,5776,3844,1225,1600,4900,5476,7396,121]", "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\":73,\"native_task_name\":\"reverse:scalar\",\"output_value\":-37},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[64,1521,5776,3844,1225,1600,4900,5476,7396,121]}]"} {"id": "python/three_independent_target/93/7", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-47, 21, -5, 86, -65, 99, 85, -38, 63, 75]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep 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\nDefine task_3_input = {\"result\": [52, -70, 61, -67, 1, -46, 5, -90, 96, 48]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1,2116,25,8100,9216,2304,4489,3721,4900,2704]", "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\":14,\"native_task_name\":\"maximumSum:list\",\"output_value\":102},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1,2116,25,8100,9216,2304,4489,3721,4900,2704]}]"} {"id": "python/three_independent_target/93/8", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-40, 57, 34, -2, -4, -28, 74, 10, 19, -77]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = -82.\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\nDefine task_3_input = {\"result\": [57, 3, -43, 98, -66, -79, 20, -60, 20, 88]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[9,1849,9604,4356,6241,400,3600,400,3249,7744]", "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\":47,\"native_task_name\":\"getWinner:list\",\"output_value\":74},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[9,1849,9604,4356,6241,400,3600,400,3249,7744]}]"} {"id": "python/three_independent_target/93/9", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [57, 80, 38, 22, -28, -22, 71, 73, -32, 15]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [87, -41, 19, 85, 4, -25, -36, -89, -42, 86]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[16,7225,361,625,1296,1681,7921,1764,7396,7569]", "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\":[80,-1,71,71,-22,71,73,80,15,57]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[16,7225,361,625,1296,1681,7921,1764,7396,7569]}]"} {"id": "python/three_independent_target/93/10", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": -5}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 40.\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\nDefine task_3_input = {\"result\": [47, -87, 71, 9, -89, -42, 33, 39, 33, 22]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[81,7921,1764,1089,1521,1089,484,5041,7569,2209]", "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\":82,\"native_task_name\":\"powerfulIntegers:scalar\",\"output_value\":[2,-4,26,-124,-73]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[81,7921,1764,1089,1521,1089,484,5041,7569,2209]}]"} {"id": "python/three_independent_target/93/11", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": 36}.\nTask 2:\nLet val_2 be the result of preprocessing task_2_input[\"result\"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -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 = 38.\nDefine task_2_energy_static = [80, 23, 80, 4, 96, 40, 90, 38, 91, -64].\nDefine task_2_experience_static = [-14, -20, -11, -52, 33, 49, -43, -25, -21, 46].\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\nDefine task_3_input = {\"result\": [43, -48, 65, -39, 36, -17, -77, 34, -68, -84]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[289,5929,1156,1296,1521,4225,2304,1849,4624,7056]", "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\":76,\"native_task_name\":\"minNumberOfHours:scalar\",\"output_value\":556},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[289,5929,1156,1296,1521,4225,2304,1849,4624,7056]}]"} {"id": "python/three_independent_target/93/12", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-50, 97, -66, -84, -37, 40, -11, 59, 90, -59]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = [16, -55, 28, 23, -98, 34, -41, -63, -47, -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\nDefine task_3_input = {\"result\": [-42, -74, 63, 34, -88, -51, 95, 67, -67, 78]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1156,3969,5476,1764,7744,2601,9025,4489,4489,6084]", "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\":87,\"native_task_name\":\"addNegabinary:list\",\"output_value\":[-35,40,-38,-61,-136,72,-52,-5,41,-125]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1156,3969,5476,1764,7744,2601,9025,4489,4489,6084]}]"} {"id": "python/three_independent_target/93/13", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [48, 54, 28, 6, 35, 85, 43, -80, -4, 40]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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 = 71.\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\nDefine task_3_input = {\"result\": [93, 96, -85, 73, -34, 97, -33, 42, 84, 46]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[1089,9409,1156,1764,7056,2116,5329,7225,9216,8649]", "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\":58,\"native_task_name\":\"findKthPositive:list\",\"output_value\":76},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[1089,9409,1156,1764,7056,2116,5329,7225,9216,8649]}]"} {"id": "python/three_independent_target/93/14", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-27, 27, 67, 10, 21, -49, 2, 89, 45, 51]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of 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_passengers_static = [-28, -80, -32, 100, -65, -51, -68, -4, 29, -33].\nDefine task_2_capacity_static = -12.\nTrace the execution of task_2 with inputs passengers = task_2_passengers_static, capacity = task_2_capacity_static.\n```python\nfrom typing import List\ndef task_2(list_2: List[int], passengers: List[int], capacity: int) -> int:\n list_2.sort()\n passengers.sort()\n j = 0\n for t in list_2:\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_2[-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\nDefine task_3_input = {\"result\": [-30, 17, 84, 2, 53, 93, -56, 61, 15, -87]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[4,2809,8649,3136,3721,225,7056,289,900,7569]", "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\":2,\"native_task_name\":\"latestTimeCatchTheBus:list\",\"output_value\":89},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[4,2809,8649,3136,3721,225,7056,289,900,7569]}]"} {"id": "python/three_independent_target/93/15", "category": "python", "topology": "three_independent_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\nDefine task_2_input = {\"result\": [-30, -46, 81, -98, -59, -64, -32, 97, -30, -35]}.\nTask 2:\nLet list_2 be the result of preprocessing task_2_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_2 has more than 10 elements, keep only the first 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\nDefine task_3_input = {\"result\": [-83, -35, 22, 96, 42, -82, 10, 71, 89, 63]}.\nTask 3:\nLet list_3 be the result of preprocessing task_3_input[\"result\"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.\nIf list_3 has more than 10 elements, keep 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": "[100,6724,1764,9216,484,1225,5041,7921,3969,6889]", "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\":78,\"native_task_name\":\"dailyTemperatures:list\",\"output_value\":[2,1,5,1,2,1,1,0,0,0]},{\"node_id\":\"task_3\",\"native_task_id\":93,\"native_task_name\":\"sortedSquares:list\",\"output_value\":[100,6724,1764,9216,484,1225,5041,7921,3969,6889]}]"}