Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": [-36, 45, 16, -21, -92, 4, 74, 40, 8, -90]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    f = True
    while f:
        f = False
        t = list_1[:]
        for i in range(1, len(t) - 1):
            if t[i] > t[i - 1] and t[i] > t[i + 1]:
                list_1[i] -= 1
                f = True
            if t[i] < t[i - 1] and t[i] < t[i + 1]:
                list_1[i] += 1
                f = True
    python_result_1 = list_1
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 11}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_skills_static = [-37, -1, 33, 75, 4, 58, 97, -30, 77, -47].
Trace the execution of task_2 with inputs skills = task_2_skills_static.
```python
from typing import List
def task_2(skills: List[int], val_2: int) -> int:
    n = len(skills)
    val_2 = min(val_2, n - 1)
    i = cnt = 0
    for j in range(1, n):
        if skills[i] < skills[j]:
            i = j
            cnt = 1
        else:
            cnt += 1
        if cnt == val_2:
            break
    python_result_2 = i
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [65, -40, -99, 2, -38, -65, -60, 40, 42, -40]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    f = [[0] * n for _ in range(n)]
    g = [[0] * n for _ in range(n)]
    for j in range(1, n - 2):
        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))
        for k in range(j + 1, n - 1):
            if list_3[j] > list_3[k]:
                f[j][k] = cnt
            else:
                cnt -= 1
    for k in range(2, n - 1):
        cnt = sum((list_3[i] < list_3[k] for i in range(k)))
        for j in range(k - 1, 0, -1):
            if list_3[j] > list_3[k]:
                g[j][k] = cnt
            else:
                cnt -= 1
    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)))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": [-80, 82, -20, 48, 7, 17, -60, -77, 23, -14]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_arr2_static = [-43, 22, -89, 63, -99, -17, 3, 78, 82, -78].
Trace the execution of task_1 with inputs arr2 = task_1_arr2_static.
```python
from typing import List
def task_1(list_1: List[int], arr2: List[int]) -> List[int]:
    (i, j) = (len(list_1) - 1, len(arr2) - 1)
    c = 0
    ans = []
    while i >= 0 or j >= 0 or c:
        a = 0 if i < 0 else list_1[i]
        b = 0 if j < 0 else arr2[j]
        x = a + b + c
        c = 0
        if x >= 2:
            x -= 2
            c -= 1
        elif x == -1:
            x = 1
            c += 1
        ans.append(x)
        (i, j) = (i - 1, j - 1)
    while len(ans) > 1 and ans[-1] == 0:
        ans.pop()
    python_result_1 = ans[::-1]
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": -81}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [42, -78, -60, -26, -20, 12, -45, 95, -78, -9].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-28, -76, 30, -18, -30, 65, 72, -88, -91, -60]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    f = [[0] * n for _ in range(n)]
    g = [[0] * n for _ in range(n)]
    for j in range(1, n - 2):
        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))
        for k in range(j + 1, n - 1):
            if list_3[j] > list_3[k]:
                f[j][k] = cnt
            else:
                cnt -= 1
    for k in range(2, n - 1):
        cnt = sum((list_3[i] < list_3[k] for i in range(k)))
        for j in range(k - 1, 0, -1):
            if list_3[j] > list_3[k]:
                g[j][k] = cnt
            else:
                cnt -= 1
    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)))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": [1, -3, 7, -100, -37, 9, 59, 75, -5, 33]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    (l, r) = (0, len(list_1) - 1)
    ans = 0
    while l < r:
        t = min(list_1[l], list_1[r]) * (r - l)
        ans = max(ans, t)
        if list_1[l] < list_1[r]:
            l += 1
        else:
            r -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": -5}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_arr_static = [-32, -68, -62, -97, 43, -96, -40, 66, 94, 60].
Trace the execution of task_2 with inputs arr = task_2_arr_static.
```python
from typing import List
def task_2(arr: List[int], val_2: int) -> int:
    if arr[0] > val_2:
        python_result_2 = val_2
        return python_result_2
    (left, right) = (0, len(arr))
    while left < right:
        mid = left + right >> 1
        if arr[mid] - mid - 1 >= val_2:
            right = mid
        else:
            left = mid + 1
    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-73, 34, 3, 19, 62, 73, 15, -56, 34, -56]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    f = [[0] * n for _ in range(n)]
    g = [[0] * n for _ in range(n)]
    for j in range(1, n - 2):
        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))
        for k in range(j + 1, n - 1):
            if list_3[j] > list_3[k]:
                f[j][k] = cnt
            else:
                cnt -= 1
    for k in range(2, n - 1):
        cnt = sum((list_3[i] < list_3[k] for i in range(k)))
        for j in range(k - 1, 0, -1):
            if list_3[j] > list_3[k]:
                g[j][k] = cnt
            else:
                cnt -= 1
    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)))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": [21, 2, -56, 98, 49, -92, 6, 36, -67, 88]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 54}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -3.
Define task_2_bound_static = 26.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-22, -81, 97, 2, -35, 95, -38, 41, -94, -50]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    f = [[0] * n for _ in range(n)]
    g = [[0] * n for _ in range(n)]
    for j in range(1, n - 2):
        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))
        for k in range(j + 1, n - 1):
            if list_3[j] > list_3[k]:
                f[j][k] = cnt
            else:
                cnt -= 1
    for k in range(2, n - 1):
        cnt = sum((list_3[i] < list_3[k] for i in range(k)))
        for j in range(k - 1, 0, -1):
            if list_3[j] > list_3[k]:
                g[j][k] = cnt
            else:
                cnt -= 1
    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)))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": [55, -76, 27, 31, -79, 31, 47, -91, -40, -90]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    stk = []
    for x in list_1:
        if x > 0:
            stk.append(x)
        else:
            while stk and stk[-1] > 0 and (stk[-1] < -x):
                stk.pop()
            if stk and stk[-1] == -x:
                stk.pop()
            elif not stk or stk[-1] < 0:
                stk.append(x)
    python_result_1 = stk
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 29}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -50.
Define task_2_bound_static = 51.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-19, -14, 18, 58, 91, -42, 85, 2, -24, 75]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    f = [[0] * n for _ in range(n)]
    g = [[0] * n for _ in range(n)]
    for j in range(1, n - 2):
        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))
        for k in range(j + 1, n - 1):
            if list_3[j] > list_3[k]:
                f[j][k] = cnt
            else:
                cnt -= 1
    for k in range(2, n - 1):
        cnt = sum((list_3[i] < list_3[k] for i in range(k)))
        for j in range(k - 1, 0, -1):
            if list_3[j] > list_3[k]:
                g[j][k] = cnt
            else:
                cnt -= 1
    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)))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": -39}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [32, 55, 59, 49, -65, -93, -47, -57, 71, 59].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> int:
    (ans, y) = (1, nums[0])
    for x in nums[1:]:
        if x == 0:
            python_result_1 = 1
            return python_result_1
        if x * y <= val_1:
            y *= x
        else:
            y = x
            ans += 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [-13, 47, -22, -35, -98, 45, 23, -30, 27, 50]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    f = True
    while f:
        f = False
        t = list_2[:]
        for i in range(1, len(t) - 1):
            if t[i] > t[i - 1] and t[i] > t[i + 1]:
                list_2[i] -= 1
                f = True
            if t[i] < t[i - 1] and t[i] < t[i + 1]:
                list_2[i] += 1
                f = True
    python_result_2 = list_2
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-77, -95, 49, 3, 24, -46, -100, -38, 62, 90]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    f = [[0] * n for _ in range(n)]
    g = [[0] * n for _ in range(n)]
    for j in range(1, n - 2):
        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))
        for k in range(j + 1, n - 1):
            if list_3[j] > list_3[k]:
                f[j][k] = cnt
            else:
                cnt -= 1
    for k in range(2, n - 1):
        cnt = sum((list_3[i] < list_3[k] for i in range(k)))
        for j in range(k - 1, 0, -1):
            if list_3[j] > list_3[k]:
                g[j][k] = cnt
            else:
                cnt -= 1
    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)))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": -41}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [29, 15, 16, -53, -55, 79, 29, -23, 15, -94].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> int:
    nums.sort()
    (ans, n) = (0, len(nums))
    for i in range(n - 2):
        (j, k) = (i + 1, n - 1)
        while j < k:
            x = nums[i] + nums[j] + nums[k]
            if x < val_1:
                ans += k - j
                j += 1
            else:
                k -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 51}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -91.
Define task_2_bound_static = 99.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-25, -37, 87, 39, 78, -47, 11, -64, 11, 79]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    f = [[0] * n for _ in range(n)]
    g = [[0] * n for _ in range(n)]
    for j in range(1, n - 2):
        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))
        for k in range(j + 1, n - 1):
            if list_3[j] > list_3[k]:
                f[j][k] = cnt
            else:
                cnt -= 1
    for k in range(2, n - 1):
        cnt = sum((list_3[i] < list_3[k] for i in range(k)))
        for j in range(k - 1, 0, -1):
            if list_3[j] > list_3[k]:
                g[j][k] = cnt
            else:
                cnt -= 1
    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)))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": [-85, -40, -61, -47, -35, 9, 41, -67, 85, -96]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    stk = []
    ans = 0
    for x in list_1:
        while stk and stk[-1][0] < x:
            stk.pop()
        if not stk or stk[-1][0] > x:
            stk.append([x, 1])
        else:
            stk[-1][1] += 1
        ans += stk[-1][1]
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [72, 43, 68, 50, -38, -40, -63, 14, 80, 24]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    (i, j) = (0, len(list_2) - 1)
    while i < j:
        if list_2[i] % 2 == 0:
            i += 1
        elif list_2[j] % 2 == 1:
            j -= 1
        else:
            (list_2[i], list_2[j]) = (list_2[j], list_2[i])
            (i, j) = (i + 1, j - 1)
    python_result_2 = list_2
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-46, -74, 69, 68, -16, -28, -60, -74, 58, -23]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    f = [[0] * n for _ in range(n)]
    g = [[0] * n for _ in range(n)]
    for j in range(1, n - 2):
        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))
        for k in range(j + 1, n - 1):
            if list_3[j] > list_3[k]:
                f[j][k] = cnt
            else:
                cnt -= 1
    for k in range(2, n - 1):
        cnt = sum((list_3[i] < list_3[k] for i in range(k)))
        for j in range(k - 1, 0, -1):
            if list_3[j] > list_3[k]:
                g[j][k] = cnt
            else:
                cnt -= 1
    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)))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": 91}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [69, 93, 31, 65, 58, -53, 12, -6, -41, -25].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [51, 61, 26, 49, 14, -73, -1, 9, 59, -10]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    def reverse(arr, j):
        i = 0
        while i < j:
            (arr[i], arr[j]) = (arr[j], arr[i])
            (i, j) = (i + 1, j - 1)
    n = len(list_2)
    ans = []
    for i in range(n - 1, 0, -1):
        j = i
        while j > 0 and list_2[j] != i + 1:
            j -= 1
        if j < i:
            if j > 0:
                ans.append(j + 1)
                reverse(list_2, j)
            ans.append(i + 1)
            reverse(list_2, i)
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-37, 15, -100, -5, -84, 26, -28, -53, 61, 44]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    f = [[0] * n for _ in range(n)]
    g = [[0] * n for _ in range(n)]
    for j in range(1, n - 2):
        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))
        for k in range(j + 1, n - 1):
            if list_3[j] > list_3[k]:
                f[j][k] = cnt
            else:
                cnt -= 1
    for k in range(2, n - 1):
        cnt = sum((list_3[i] < list_3[k] for i in range(k)))
        for j in range(k - 1, 0, -1):
            if list_3[j] > list_3[k]:
                g[j][k] = cnt
            else:
                cnt -= 1
    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)))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": [-95, -2, -74, -14, -36, -28, -41, 81, 60, -51]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_queries_static = [51, -77, -5, -96, 74, -81, 31, -99, 69, -35].
Trace the execution of task_1 with inputs queries = task_1_queries_static.
```python
from typing import List
def task_1(list_1: List[int], queries: List[int]) -> List[int]:
    s = set()
    ans = []
    for q in queries[::-1]:
        if q not in s:
            ans.append(q)
            s.add(q)
    for w in list_1:
        if w not in s:
            ans.append(w)
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [-58, 66, 47, 78, -22, 25, 65, 9, 15, -90]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Define task_2_k_static = 19.
Trace the execution of task_2 with inputs k = task_2_k_static.
```python
from typing import List
def task_2(list_2: List[int], k: int) -> int:
    (ans, y) = (1, list_2[0])
    for x in list_2[1:]:
        if x == 0:
            python_result_2 = 1
            return python_result_2
        if x * y <= k:
            y *= x
        else:
            y = x
            ans += 1
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-75, 73, -93, -49, 96, 74, 10, 24, 45, -81]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    f = [[0] * n for _ in range(n)]
    g = [[0] * n for _ in range(n)]
    for j in range(1, n - 2):
        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))
        for k in range(j + 1, n - 1):
            if list_3[j] > list_3[k]:
                f[j][k] = cnt
            else:
                cnt -= 1
    for k in range(2, n - 1):
        cnt = sum((list_3[i] < list_3[k] for i in range(k)))
        for j in range(k - 1, 0, -1):
            if list_3[j] > list_3[k]:
                g[j][k] = cnt
            else:
                cnt -= 1
    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)))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": 26}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [-10, -69, -33, 29, 38, 72, 15, -58, 93, 75].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> int:
    nums.sort()
    n = len(nums)
    m = n >> 1
    ans = abs(nums[m] - val_1)
    if nums[m] > val_1:
        for i in range(m - 1, -1, -1):
            if nums[i] <= val_1:
                break
            ans += nums[i] - val_1
    else:
        for i in range(m + 1, n):
            if nums[i] >= val_1:
                break
            ans += val_1 - nums[i]
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [21, 3, -89, -97, 80, 13, 90, -55, 89, -5]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Define task_2_k_static = -64.
Trace the execution of task_2 with inputs k = task_2_k_static.
```python
from typing import List
def task_2(list_2: List[int], k: int) -> int:
    mx = max(list_2)
    n = len(list_2)
    ans = cnt = j = 0
    for x in list_2:
        while j < n and cnt < k:
            cnt += list_2[j] == mx
            j += 1
        if cnt < k:
            break
        ans += n - j + 1
        cnt -= x == mx
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-56, 92, 52, -56, 75, 79, -18, -1, -31, 22]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    f = [[0] * n for _ in range(n)]
    g = [[0] * n for _ in range(n)]
    for j in range(1, n - 2):
        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))
        for k in range(j + 1, n - 1):
            if list_3[j] > list_3[k]:
                f[j][k] = cnt
            else:
                cnt -= 1
    for k in range(2, n - 1):
        cnt = sum((list_3[i] < list_3[k] for i in range(k)))
        for j in range(k - 1, 0, -1):
            if list_3[j] > list_3[k]:
                g[j][k] = cnt
            else:
                cnt -= 1
    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)))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": [60, -80, 26, 4, -52, 99, 79, 88, 50, 11]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    n = len(list_1)
    leftSum = [0] * n
    for i in range(1, n):
        leftSum[i] = leftSum[i - 1] + list_1[i - 1]
    total = sum(list_1)
    answer = []
    for i in range(n):
        rightSum_i = total - list_1[i] - leftSum[i]
        answer.append(abs(leftSum[i] - rightSum_i))
    python_result_1 = answer
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [-40, -89, -42, -23, -99, -94, -6, -30, -69, -28]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> int:
    n = len(list_2)
    stk = []
    left = [-1] * n
    right = [n] * n
    for (i, h) in enumerate(list_2):
        while stk and list_2[stk[-1]] >= h:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        h = list_2[i]
        while stk and list_2[stk[-1]] >= h:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_2 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_2)))
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [9, 86, 99, 18, -68, -38, -21, 14, 27, 68]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    f = [[0] * n for _ in range(n)]
    g = [[0] * n for _ in range(n)]
    for j in range(1, n - 2):
        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))
        for k in range(j + 1, n - 1):
            if list_3[j] > list_3[k]:
                f[j][k] = cnt
            else:
                cnt -= 1
    for k in range(2, n - 1):
        cnt = sum((list_3[i] < list_3[k] for i in range(k)))
        for j in range(k - 1, 0, -1):
            if list_3[j] > list_3[k]:
                g[j][k] = cnt
            else:
                cnt -= 1
    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)))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": [-56, 17, -14, -87, 14, -1, -100, 86, 25, -88]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_nums2_static = [-33, -19, -35, -60, 55, 99, 52, -51, 19, 92].
Trace the execution of task_1 with inputs nums2 = task_1_nums2_static.
```python
from typing import List
def task_1(list_1: List[int], nums2: List[int]) -> int:
    def f(nums1, nums2):
        d = [a - b for (a, b) in zip(nums1, nums2)]
        t = mx = d[0]
        for v in d[1:]:
            if t > 0:
                t += v
            else:
                t = v
            mx = max(mx, t)
        return mx
    (s1, s2) = (sum(list_1), sum(nums2))
    python_result_1 = max(s2 + f(list_1, nums2), s1 + f(nums2, list_1))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 49}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_2.
```python
def task_2(val_2: int) -> int:
    s = list(str(val_2))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_2 = int(''.join(s))
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-65, 86, -31, -91, 6, 93, 31, 22, -35, 59]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    f = [[0] * n for _ in range(n)]
    g = [[0] * n for _ in range(n)]
    for j in range(1, n - 2):
        cnt = sum((list_3[l] > list_3[j] for l in range(j + 1, n)))
        for k in range(j + 1, n - 1):
            if list_3[j] > list_3[k]:
                f[j][k] = cnt
            else:
                cnt -= 1
    for k in range(2, n - 1):
        cnt = sum((list_3[i] < list_3[k] for i in range(k)))
        for j in range(k - 1, 0, -1):
            if list_3[j] > list_3[k]:
                g[j][k] = cnt
            else:
                cnt -= 1
    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)))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": -87}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_customers_static = [-89, 3, -42, 23, 38, -100, 27, 4, 38, -10].
Define task_1_runningCost_static = 82.
Trace the execution of task_1 with inputs customers = task_1_customers_static, runningCost = task_1_runningCost_static.
```python
from typing import List
def task_1(customers: List[int], val_1: int, runningCost: int) -> int:
    ans = -1
    mx = t = 0
    wait = 0
    i = 0
    while wait or i < len(customers):
        wait += customers[i] if i < len(customers) else 0
        up = wait if wait < 4 else 4
        wait -= up
        t += up * val_1 - runningCost
        i += 1
        if t > mx:
            mx = t
            ans = i
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [1, 2, 91, -15, -9, 18, 52, 96, 99, -85]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> int:
    n = len(list_2)
    f = [1] * n
    cnt = [1] * n
    mx = 0
    for i in range(n):
        for j in range(i):
            if list_2[j] < list_2[i]:
                if f[i] < f[j] + 1:
                    f[i] = f[j] + 1
                    cnt[i] = cnt[j]
                elif f[i] == f[j] + 1:
                    cnt[i] += cnt[j]
        if mx < f[i]:
            mx = f[i]
            ans = cnt[i]
        elif mx == f[i]:
            ans += cnt[i]
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [46, -91, 15, 29, 20, -33, -14, 23, -5, 97]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, v) in enumerate(list_3):
        while stk and list_3[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] > list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    mod = 10 ** 9 + 7
    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": [-55, 92, 3, -45, -28, 58, 91, -32, -73, -41]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    def f(x: int) -> int:
        i = 2
        (cnt, s) = (2, x + 1)
        while i <= x // i:
            if x % i == 0:
                cnt += 1
                s += i
                if i * i != x:
                    cnt += 1
                    s += x // i
            i += 1
        return s if cnt == 4 else 0
    python_result_1 = sum((f(x) for x in list_1))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 22}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = 82.
Define task_2_bound_static = 28.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [62, -84, -23, 55, 94, 9, -33, 25, 23, -71]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, v) in enumerate(list_3):
        while stk and list_3[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] > list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    mod = 10 ** 9 + 7
    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": 66}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_buses_static = [-92, 9, 11, 77, -37, 67, -25, -54, 74, 52].
Define task_1_passengers_static = [-12, -40, -1, -59, -81, -56, -26, 0, -59, 4].
Trace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.
```python
from typing import List
def task_1(buses: List[int], passengers: List[int], val_1: int) -> int:
    buses.sort()
    passengers.sort()
    j = 0
    for t in buses:
        c = val_1
        while c and j < len(passengers) and (passengers[j] <= t):
            (c, j) = (c - 1, j + 1)
    j -= 1
    ans = buses[-1] if c else passengers[j]
    while ~j and passengers[j] == ans:
        (ans, j) = (ans - 1, j - 1)
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [-100, 73, -76, -53, 20, 99, -94, -100, -19, -29]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> int:
    n = len(list_2)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_2[0] > 0)
    g[0] = int(list_2[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_2[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_2[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [32, 31, 3, -32, 10, -25, -13, -94, -8, -88]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, v) in enumerate(list_3):
        while stk and list_3[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] > list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    mod = 10 ** 9 + 7
    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": [28, 47, 5, 99, 56, 30, 38, -39, -83, -60]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    mod = 10 ** 9 + 7
    n = len(list_1)
    list_1.sort()
    idx = {v: i for (i, v) in enumerate(list_1)}
    f = [1] * n
    for (i, a) in enumerate(list_1):
        for j in range(i):
            b = list_1[j]
            if a % b == 0 and (c := (a // b)) in idx:
                f[i] = (f[i] + f[j] * f[idx[c]]) % mod
    python_result_1 = sum(f) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [35, -7, -63, -94, 83, 68, 23, -11, 15, -69]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> int:
    n = len(list_2)
    ans = 1
    f = [1] * n
    g = [1] * n
    for i in range(1, n):
        for j in range(i):
            if list_2[j] < list_2[i]:
                f[i] = max(f[i], g[j] + 1)
            elif list_2[j] > list_2[i]:
                g[i] = max(g[i], f[j] + 1)
        ans = max(ans, f[i], g[i])
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-48, 84, -25, 13, 24, -35, 79, -78, 61, 18]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, v) in enumerate(list_3):
        while stk and list_3[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] > list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    mod = 10 ** 9 + 7
    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": [3, -13, -43, 8, -77, -4, 63, 99, -11, -66]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_arr2_static = [73, 5, -74, -49, -7, 74, -97, 95, 96, -38].
Trace the execution of task_1 with inputs arr2 = task_1_arr2_static.
```python
from typing import List
def task_1(list_1: List[int], arr2: List[int]) -> List[int]:
    (i, j) = (len(list_1) - 1, len(arr2) - 1)
    c = 0
    ans = []
    while i >= 0 or j >= 0 or c:
        a = 0 if i < 0 else list_1[i]
        b = 0 if j < 0 else arr2[j]
        x = a + b + c
        c = 0
        if x >= 2:
            x -= 2
            c -= 1
        elif x == -1:
            x = 1
            c += 1
        ans.append(x)
        (i, j) = (i - 1, j - 1)
    while len(ans) > 1 and ans[-1] == 0:
        ans.pop()
    python_result_1 = ans[::-1]
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": -23}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [97, 86, 2, 86, -98, -26, 63, 21, -95, 61].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> int:
    (ans, y) = (1, nums[0])
    for x in nums[1:]:
        if x == 0:
            python_result_2 = 1
            return python_result_2
        if x * y <= val_2:
            y *= x
        else:
            y = x
            ans += 1
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [89, 17, 59, 85, 41, -67, -31, 41, 89, -8]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, v) in enumerate(list_3):
        while stk and list_3[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] > list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    mod = 10 ** 9 + 7
    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": -96}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [-15, 46, -71, 24, -51, 87, -65, -79, -10, 88].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> int:
    nums.sort()
    (ans, n) = (0, len(nums))
    for i in range(n - 2):
        (j, k) = (i + 1, n - 1)
        while j < k:
            x = nums[i] + nums[j] + nums[k]
            if x < val_1:
                ans += k - j
                j += 1
            else:
                k -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": -68}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_initialExperience_static = 8.
Define task_2_energy_static = [18, 40, -93, -93, -85, -28, 45, 34, 91, -100].
Define task_2_experience_static = [91, 70, -94, -35, -81, -39, 16, 24, 53, -14].
Trace the execution of task_2 with inputs initialExperience = task_2_initialExperience_static, energy = task_2_energy_static, experience = task_2_experience_static.
```python
from typing import List
def task_2(val_2: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:
    sum_energy = sum(energy)
    energy_hours = max(0, sum_energy + 1 - val_2)
    exp_hours = 0
    current_exp = initialExperience
    for e in experience:
        if current_exp <= e:
            delta = e + 1 - current_exp
            exp_hours += delta
            current_exp += delta
        current_exp += e
    python_result_2 = energy_hours + exp_hours
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-39, 34, -74, -8, 77, 97, -32, 96, -12, 91]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, v) in enumerate(list_3):
        while stk and list_3[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] > list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    mod = 10 ** 9 + 7
    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": -47}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_y_static = 77.
Define task_1_bound_static = 99.
Trace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.
```python
from typing import List
def task_1(val_1: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_1 == 1:
            break
        a *= val_1
    python_result_1 = list(ans)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 14}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_arr_static = [-58, -27, 92, 27, -80, 68, 41, 83, 74, 55].
Trace the execution of task_2 with inputs arr = task_2_arr_static.
```python
from typing import List
def task_2(arr: List[int], val_2: int) -> int:
    if arr[0] > val_2:
        python_result_2 = val_2
        return python_result_2
    (left, right) = (0, len(arr))
    while left < right:
        mid = left + right >> 1
        if arr[mid] - mid - 1 >= val_2:
            right = mid
        else:
            left = mid + 1
    python_result_2 = arr[left - 1] + val_2 - (arr[left - 1] - (left - 1) - 1)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [51, -27, 46, -52, -47, -3, -27, -47, 54, -82]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, v) in enumerate(list_3):
        while stk and list_3[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] > list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    mod = 10 ** 9 + 7
    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": -50}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_y_static = -15.
Define task_1_bound_static = 96.
Trace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.
```python
from typing import List
def task_1(val_1: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_1 == 1:
            break
        a *= val_1
    python_result_1 = list(ans)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [69, 49, 60, 90, -20, 51, -38, -76, 61, -2]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    f = True
    while f:
        f = False
        t = list_2[:]
        for i in range(1, len(t) - 1):
            if t[i] > t[i - 1] and t[i] > t[i + 1]:
                list_2[i] -= 1
                f = True
            if t[i] < t[i - 1] and t[i] < t[i + 1]:
                list_2[i] += 1
                f = True
    python_result_2 = list_2
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [3, 30, -38, -36, -61, 11, -41, 94, -27, 14]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, v) in enumerate(list_3):
        while stk and list_3[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] > list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    mod = 10 ** 9 + 7
    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": -72}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [-1, 13, -36, -2, 100, 81, 90, 97, -62, 18].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [46, -52, -32, -17, -47, 58, -52, -49, 34, -30]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> int:
    (l, r) = (0, len(list_2) - 1)
    ans = 0
    while l < r:
        t = min(list_2[l], list_2[r]) * (r - l)
        ans = max(ans, t)
        if list_2[l] < list_2[r]:
            l += 1
        else:
            r -= 1
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [7, 89, 78, -5, -19, 94, 68, 39, -35, -67]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, v) in enumerate(list_3):
        while stk and list_3[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] > list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    mod = 10 ** 9 + 7
    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": [-20, 97, 54, -39, -58, 24, 53, 20, -74, 84]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    list_1.sort()
    n = len(list_1)
    f = [1] * n
    k = 0
    for i in range(n):
        for j in range(i):
            if list_1[i] % list_1[j] == 0:
                f[i] = max(f[i], f[j] + 1)
        if f[k] < f[i]:
            k = i
    m = f[k]
    i = k
    ans = []
    while m:
        if list_1[k] % list_1[i] == 0 and f[i] == m:
            ans.append(list_1[i])
            (k, m) = (i, m - 1)
        i -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 82}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [-48, 11, -45, -49, -83, 27, 43, -84, -57, -62].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-23, -90, 82, -19, -84, -67, -63, -85, -89, -53]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, v) in enumerate(list_3):
        while stk and list_3[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] > list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    mod = 10 ** 9 + 7
    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": [-43, -21, 90, -35, 13, 78, -32, 27, 11, 13]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": -4}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_plants_static = [7, -99, 77, 45, 70, -91, 61, 85, 19, 100].
Define task_2_capacityB_static = -10.
Trace the execution of task_2 with inputs plants = task_2_plants_static, capacityB = task_2_capacityB_static.
```python
from typing import List
def task_2(plants: List[int], val_2: int, capacityB: int) -> int:
    (a, b) = (val_2, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_2
        a -= plants[i]
        if b < plants[j]:
            ans += 1
            b = capacityB
        b -= plants[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < plants[i]
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [11, 70, 62, -8, -85, -39, 55, 87, 12, 29]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, v) in enumerate(list_3):
        while stk and list_3[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] > list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    mod = 10 ** 9 + 7
    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": [-13, -36, 41, -11, -27, -85, -59, -58, -100, -77]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    left = [0] * (n + 1)
    right = [0] * (n + 1)
    for (i, x) in enumerate(list_1, 1):
        if x:
            left[i] = left[i - 1] + 1
    for i in range(n - 1, -1, -1):
        if list_1[i]:
            right[i] = right[i + 1] + 1
    python_result_1 = max((left[i] + right[i + 1] for i in range(n)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": -33}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -29.
Define task_2_bound_static = 26.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [31, -27, -24, 32, 23, 86, 11, -58, 27, -56]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, v) in enumerate(list_3):
        while stk and list_3[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] > list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    mod = 10 ** 9 + 7
    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


Prompt:
Solve the following tasks. Output the result for each.

Define task_1_input = {"result": [10, -4, 84, 35, -87, -97, 62, -24, -57, 41]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    stk = []
    for x in list_1:
        if x > 0:
            stk.append(x)
        else:
            while stk and stk[-1] > 0 and (stk[-1] < -x):
                stk.pop()
            if stk and stk[-1] == -x:
                stk.pop()
            elif not stk or stk[-1] < 0:
                stk.append(x)
    python_result_1 = stk
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [93, -78, 68, 32, -42, 99, -13, -55, 51, -73]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> int:
    stk = []
    for (i, x) in enumerate(list_2):
        while stk and list_2[stk[-1]] <= x:
            stk.pop()
        stk.append(i)
    ans = i = 0
    for j in stk:
        ans += list_2[j] * (j - i)
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [8, 33, 74, 76, 8, 57, 16, 13, 94, -48]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, v) in enumerate(list_3):
        while stk and list_3[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] > list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    mod = 10 ** 9 + 7
    python_result_3 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_3))) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.