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

Define task_1_input = {"result": 53}.
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_arr_static = [32, 36, 94, -3, 59, 87, -52, 30, -39, 62].
Trace the execution of task_1 with inputs arr = task_1_arr_static.
```python
from typing import List
def task_1(arr: List[int], val_1: int) -> int:
    s = mx_pre = mi_pre = mx_sub = 0
    for x in arr:
        s += x
        mx_pre = max(mx_pre, s)
        mi_pre = min(mi_pre, s)
        mx_sub = max(mx_sub, s - mi_pre)
    ans = mx_sub
    mod = 10 ** 9 + 7
    if val_1 == 1:
        python_result_1 = ans % mod
        return python_result_1
    mx_suf = s - mi_pre
    ans = max(ans, mx_pre + mx_suf)
    if s > 0:
        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)
    python_result_1 = ans % 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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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 = [-46, -61, -28, 19, -14, 66, -95, 5, 38, -77].
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.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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.
Define task_3_capacityA_static = 3.
Define task_3_capacityB_static = 18.
Trace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if a < list_3[i]:
            ans += 1
            a = capacityA
        a -= list_3[i]
        if b < list_3[j]:
            ans += 1
            b = capacityB
        b -= list_3[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < list_3[i]
    python_result_3 = ans
    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": [-98, 87, -57, -28, 4, 29, 85, -18, -28, -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.
Define task_1_arr2_static = [-22, -40, -100, -26, -3, -51, 7, 81, 12, 24].
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.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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]:
    stk = []
    n = len(list_2)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_2[stk[-1]] <= list_2[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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.
Define task_3_capacityA_static = 76.
Define task_3_capacityB_static = -37.
Trace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if a < list_3[i]:
            ans += 1
            a = capacityA
        a -= list_3[i]
        if b < list_3[j]:
            ans += 1
            b = capacityB
        b -= list_3[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < list_3[i]
    python_result_3 = ans
    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": 64}.
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 = 92.
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.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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_limit_static = -52.
Trace the execution of task_2 with inputs limit = task_2_limit_static.
```python
from typing import List
def task_2(list_2: List[int], limit: int) -> List[int]:
    n = len(list_2)
    arr = sorted(zip(list_2, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= limit:
            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.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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.
Define task_3_capacityA_static = -73.
Define task_3_capacityB_static = -37.
Trace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if a < list_3[i]:
            ans += 1
            a = capacityA
        a -= list_3[i]
        if b < list_3[j]:
            ans += 1
            b = capacityB
        b -= list_3[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < list_3[i]
    python_result_3 = ans
    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": 76}.
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 = [-19, -74, -62, 37, 11, 9, 39, 72, 69, -17].
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.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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]:
    stk = []
    for x in list_2:
        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_2 = stk
    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.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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.
Define task_3_capacityA_static = 73.
Define task_3_capacityB_static = -58.
Trace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if a < list_3[i]:
            ans += 1
            a = capacityA
        a -= list_3[i]
        if b < list_3[j]:
            ans += 1
            b = capacityB
        b -= list_3[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < list_3[i]
    python_result_3 = ans
    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": [-61, -35, -49, 26, -92, 61, 69, -31, 42, -15]}.
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)
    ans = 1
    f = [1] * n
    g = [1] * n
    for i in range(1, n):
        for j in range(i):
            if list_1[j] < list_1[i]:
                f[i] = max(f[i], g[j] + 1)
            elif list_1[j] > list_1[i]:
                g[i] = max(g[i], f[j] + 1)
        ans = max(ans, f[i], g[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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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 = [10, -58, -81, 44, 56, -16, -9, -30, -18, -29].
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.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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.
Define task_3_capacityA_static = -67.
Define task_3_capacityB_static = -47.
Trace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if a < list_3[i]:
            ans += 1
            a = capacityA
        a -= list_3[i]
        if b < list_3[j]:
            ans += 1
            b = capacityB
        b -= list_3[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < list_3[i]
    python_result_3 = ans
    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": -5}.
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 = [40, 86, 59, 95, -50, 34, 15, 63, 57, 89].
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.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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]:
    n = len(list_2)
    suf = [0] * (n + 1)
    s = set()
    for i in range(n - 1, -1, -1):
        s.add(list_2[i])
        suf[i] = len(s)
    s.clear()
    ans = [0] * n
    for (i, x) in enumerate(list_2):
        s.add(x)
        ans[i] = len(s) - suf[i + 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.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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.
Define task_3_capacityA_static = -39.
Define task_3_capacityB_static = 86.
Trace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if a < list_3[i]:
            ans += 1
            a = capacityA
        a -= list_3[i]
        if b < list_3[j]:
            ans += 1
            b = capacityB
        b -= list_3[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < list_3[i]
    python_result_3 = ans
    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, 39, 96, -28, 41, -24, 71, 43, 55, -35]}.
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)
    left = [-1] * n
    right = [n] * n
    stk = []
    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 = []
    for i in range(n - 1, -1, -1):
        while stk and list_1[stk[-1]] <= list_1[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]
    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.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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]:
    n = len(list_2)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_2[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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.
Define task_3_capacityA_static = 0.
Define task_3_capacityB_static = -66.
Trace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if a < list_3[i]:
            ans += 1
            a = capacityA
        a -= list_3[i]
        if b < list_3[j]:
            ans += 1
            b = capacityB
        b -= list_3[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < list_3[i]
    python_result_3 = ans
    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": [-12, 32, -19, -94, 8, 74, 51, -5, 62, 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]) -> List[int]:
    (i, j) = (0, len(list_1) - 1)
    while i < j:
        if list_1[i] % 2 == 0:
            i += 1
        elif list_1[j] % 2 == 1:
            j -= 1
        else:
            (list_1[i], list_1[j]) = (list_1[j], list_1[i])
            (i, j) = (i + 1, j - 1)
    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.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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]:
    n = len(list_2)
    leftSum = [0] * n
    for i in range(1, n):
        leftSum[i] = leftSum[i - 1] + list_2[i - 1]
    total = sum(list_2)
    answer = []
    for i in range(n):
        rightSum_i = total - list_2[i] - leftSum[i]
        answer.append(abs(leftSum[i] - rightSum_i))
    python_result_2 = answer
    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.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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.
Define task_3_capacityA_static = 65.
Define task_3_capacityB_static = -84.
Trace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if a < list_3[i]:
            ans += 1
            a = capacityA
        a -= list_3[i]
        if b < list_3[j]:
            ans += 1
            b = capacityB
        b -= list_3[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < list_3[i]
    python_result_3 = ans
    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": [-8, -47, 98, 47, -65, 87, -62, 34, 23, 1]}.
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_k_static = -19.
Trace the execution of task_1 with inputs k = task_1_k_static.
```python
from typing import List
def task_1(list_1: List[int], k: int) -> int:
    s = mx_pre = mi_pre = mx_sub = 0
    for x in list_1:
        s += x
        mx_pre = max(mx_pre, s)
        mi_pre = min(mi_pre, s)
        mx_sub = max(mx_sub, s - mi_pre)
    ans = mx_sub
    mod = 10 ** 9 + 7
    if k == 1:
        python_result_1 = ans % mod
        return python_result_1
    mx_suf = s - mi_pre
    ans = max(ans, mx_pre + mx_suf)
    if s > 0:
        ans = max(ans, (k - 2) * s + mx_pre + mx_suf)
    python_result_1 = ans % 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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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 = -43.
Define task_2_bound_static = 82.
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.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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.
Define task_3_capacityA_static = 18.
Define task_3_capacityB_static = -1.
Trace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if a < list_3[i]:
            ans += 1
            a = capacityA
        a -= list_3[i]
        if b < list_3[j]:
            ans += 1
            b = capacityB
        b -= list_3[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < list_3[i]
    python_result_3 = ans
    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, -69, -97, 95, 12, -36, 30, 92, 89, -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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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 = 2.
Define task_2_bound_static = 27.
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.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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.
Define task_3_capacityA_static = -37.
Define task_3_capacityB_static = -88.
Trace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if a < list_3[i]:
            ans += 1
            a = capacityA
        a -= list_3[i]
        if b < list_3[j]:
            ans += 1
            b = capacityB
        b -= list_3[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < list_3[i]
    python_result_3 = ans
    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, 94, 48, 81, -8, 66, -45, 95, 3, 29]}.
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_trainers_static = [55, -63, 95, -44, -6, -91, 94, -59, 88, -91].
Trace the execution of task_1 with inputs trainers = task_1_trainers_static.
```python
from typing import List
def task_1(list_1: List[int], trainers: List[int]) -> int:
    list_1.sort()
    trainers.sort()
    (j, n) = (0, len(trainers))
    for (i, p) in enumerate(list_1):
        while j < n and trainers[j] < p:
            j += 1
        if j == n:
            python_result_1 = i
            return python_result_1
        j += 1
    python_result_1 = len(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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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 = 35.
Define task_2_bound_static = 44.
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.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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.
Define task_3_capacityA_static = -50.
Define task_3_capacityB_static = 1.
Trace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if a < list_3[i]:
            ans += 1
            a = capacityA
        a -= list_3[i]
        if b < list_3[j]:
            ans += 1
            b = capacityB
        b -= list_3[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < list_3[i]
    python_result_3 = ans
    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": -54}.
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, 16, 30, -21, 65, -4, -70, -55, -5, -57].
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.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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]:
    n = len(list_2)
    leftSum = [0] * n
    for i in range(1, n):
        leftSum[i] = leftSum[i - 1] + list_2[i - 1]
    total = sum(list_2)
    answer = []
    for i in range(n):
        rightSum_i = total - list_2[i] - leftSum[i]
        answer.append(abs(leftSum[i] - rightSum_i))
    python_result_2 = answer
    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.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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.
Define task_3_capacityA_static = -27.
Define task_3_capacityB_static = 16.
Trace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if a < list_3[i]:
            ans += 1
            a = capacityA
        a -= list_3[i]
        if b < list_3[j]:
            ans += 1
            b = capacityB
        b -= list_3[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < list_3[i]
    python_result_3 = ans
    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": 81}.
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_skills_static = [-47, -20, 82, 31, 45, -53, -8, 85, 57, 15].
Trace the execution of task_1 with inputs skills = task_1_skills_static.
```python
from typing import List
def task_1(skills: List[int], val_1: int) -> int:
    n = len(skills)
    val_1 = min(val_1, 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_1:
            break
    python_result_1 = i
    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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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 = [-17, 42, 32, 31, 56, 59, 61, -53, 74, -99].
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.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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.
Define task_3_capacityA_static = -40.
Define task_3_capacityB_static = -100.
Trace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if a < list_3[i]:
            ans += 1
            a = capacityA
        a -= list_3[i]
        if b < list_3[j]:
            ans += 1
            b = capacityB
        b -= list_3[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < list_3[i]
    python_result_3 = ans
    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": [-71, -93, -87, -1, 38, 8, -60, 37, 81, -78]}.
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 = [-61, 16, -94, 79, -81, 49, -67, 95, -68, 58].
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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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 = [-12, -49, -9, 60, -62, -67, -68, 28, 99, 16].
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.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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.
Define task_3_capacityA_static = 82.
Define task_3_capacityB_static = -92.
Trace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if a < list_3[i]:
            ans += 1
            a = capacityA
        a -= list_3[i]
        if b < list_3[j]:
            ans += 1
            b = capacityB
        b -= list_3[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < list_3[i]
    python_result_3 = ans
    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": [7, -63, -89, -61, 82, -47, -30, -3, 11, 61]}.
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)
    ans = 0
    for k in range(1, n + 1):
        t = 0
        j = 1
        while k * j * j <= n:
            t += list_1[k * j * j - 1]
            j += 1
        ans = max(ans, t)
    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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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 = [94, 46, 7, 89, 41, 84, -46, -13, 87, 24].
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.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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.
Define task_3_capacityA_static = -25.
Define task_3_capacityB_static = 8.
Trace the execution of task_3 with inputs capacityA = task_3_capacityA_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(list_3: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if a < list_3[i]:
            ans += 1
            a = capacityA
        a -= list_3[i]
        if b < list_3[j]:
            ans += 1
            b = capacityB
        b -= list_3[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < list_3[i]
    python_result_3 = ans
    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": 42}.
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 = [22, -37, 32, 48, -84, -25, -21, -34, 3, -84].
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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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 = [25, -77, -7, 96, 64, 65, -75, -59, 77, -98].
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.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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_3_plants_static = [33, -47, -13, 31, -17, 84, -78, 11, 66, 76].
Define task_3_capacityB_static = -72.
Trace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(plants: List[int], val_3: int, capacityB: int) -> int:
    (a, b) = (val_3, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_3
        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_3 = ans
    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": 30}.
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.
Trace the execution of task_1.
```python
def task_1(val_1: int) -> int:
    s = list(str(val_1))
    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_1 = int(''.join(s))
    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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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_buses_static = [-91, -46, 16, 91, -46, -51, 1, 61, -18, 81].
Define task_2_passengers_static = [-78, 36, 46, 15, -74, 91, -66, -76, -32, -42].
Trace the execution of task_2 with inputs buses = task_2_buses_static, passengers = task_2_passengers_static.
```python
from typing import List
def task_2(buses: List[int], passengers: List[int], val_2: int) -> int:
    buses.sort()
    passengers.sort()
    j = 0
    for t in buses:
        c = val_2
        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_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.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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_3_plants_static = [67, -43, -37, 41, -53, 63, 15, -79, -13, 74].
Define task_3_capacityB_static = -78.
Trace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(plants: List[int], val_3: int, capacityB: int) -> int:
    (a, b) = (val_3, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_3
        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_3 = ans
    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": 27}.
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_arr_static = [-47, 1, 45, 38, -83, -69, -18, -16, -72, -95].
Trace the execution of task_1 with inputs arr = task_1_arr_static.
```python
from typing import List
def task_1(arr: List[int], val_1: int) -> int:
    if arr[0] > val_1:
        python_result_1 = val_1
        return python_result_1
    (left, right) = (0, len(arr))
    while left < right:
        mid = left + right >> 1
        if arr[mid] - mid - 1 >= val_1:
            right = mid
        else:
            left = mid + 1
    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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 = [19, 82, -37, -20, 31, -4, 74, 47, 83, -66].
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:
    nums.sort()
    n = len(nums)
    m = n >> 1
    ans = abs(nums[m] - val_2)
    if nums[m] > val_2:
        for i in range(m - 1, -1, -1):
            if nums[i] <= val_2:
                break
            ans += nums[i] - val_2
    else:
        for i in range(m + 1, n):
            if nums[i] >= val_2:
                break
            ans += val_2 - nums[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.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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_3_plants_static = [26, 7, -79, 85, -58, -36, 52, 81, 19, 22].
Define task_3_capacityB_static = -43.
Trace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(plants: List[int], val_3: int, capacityB: int) -> int:
    (a, b) = (val_3, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_3
        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_3 = ans
    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, 45, -72, -14, 0, 67, 6, 54, 73, 23]}.
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_limit_static = 44.
Trace the execution of task_1 with inputs limit = task_1_limit_static.
```python
from typing import List
def task_1(list_1: List[int], limit: int) -> List[int]:
    n = len(list_1)
    arr = sorted(zip(list_1, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= limit:
            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.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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)
    left = [1] * n
    right = [1] * n
    for i in range(1, n):
        if list_2[i] > list_2[i - 1]:
            left[i] = left[i - 1] + 1
    for i in range(n - 2, -1, -1):
        if list_2[i] > list_2[i + 1]:
            right[i] = right[i + 1] + 1
    python_result_2 = sum((max(a, b) for (a, b) in zip(left, right)))
    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.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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_3_plants_static = [13, -93, 79, -33, -6, 65, 61, -22, -42, 9].
Define task_3_capacityB_static = -59.
Trace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(plants: List[int], val_3: int, capacityB: int) -> int:
    (a, b) = (val_3, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_3
        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_3 = ans
    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": [62, 82, -77, -96, -24, 17, -19, 32, 18, -10]}.
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]:
    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_1)
    ans = []
    for i in range(n - 1, 0, -1):
        j = i
        while j > 0 and list_1[j] != i + 1:
            j -= 1
        if j < i:
            if j > 0:
                ans.append(j + 1)
                reverse(list_1, j)
            ans.append(i + 1)
            reverse(list_1, 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.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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:
    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_2 = sum((f(x) for x in 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.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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_3_plants_static = [-20, -11, 95, -21, 93, 84, -70, -12, -68, -29].
Define task_3_capacityB_static = 18.
Trace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(plants: List[int], val_3: int, capacityB: int) -> int:
    (a, b) = (val_3, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_3
        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_3 = ans
    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 = [76, -7, 32, -49, -38, -7, -71, -28, 15, -76].
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.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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)
    left = [0] * (n + 1)
    right = [0] * (n + 1)
    for (i, x) in enumerate(list_2, 1):
        if x:
            left[i] = left[i - 1] + 1
    for i in range(n - 1, -1, -1):
        if list_2[i]:
            right[i] = right[i + 1] + 1
    python_result_2 = max((left[i] + right[i + 1] for i in range(n)))
    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.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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_3_plants_static = [43, 85, 52, 70, -8, -1, 43, -42, 9, 37].
Define task_3_capacityB_static = 68.
Trace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(plants: List[int], val_3: int, capacityB: int) -> int:
    (a, b) = (val_3, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_3
        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_3 = ans
    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": [-29, 86, 100, 62, -74, 26, 83, 84, 37, -8]}.
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_k_static = 69.
Trace the execution of task_1 with inputs k = task_1_k_static.
```python
from typing import List
def task_1(list_1: List[int], k: int) -> int:
    mx = list_1[0]
    cnt = 0
    for x in list_1[1:]:
        if mx < x:
            mx = x
            cnt = 1
        else:
            cnt += 1
        if cnt == k:
            break
    python_result_1 = mx
    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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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 = [10, -62, -41, 14, 100, 42, -40, -22, -27, -50].
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.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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_3_plants_static = [-31, -36, 60, -87, -22, 46, 76, -4, -28, 37].
Define task_3_capacityB_static = -26.
Trace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(plants: List[int], val_3: int, capacityB: int) -> int:
    (a, b) = (val_3, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_3
        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_3 = ans
    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, -1, 22, 48, -95, -68, 56, -86, 46, 87]}.
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_limit_static = 35.
Trace the execution of task_1 with inputs limit = task_1_limit_static.
```python
from typing import List
def task_1(list_1: List[int], limit: int) -> List[int]:
    n = len(list_1)
    arr = sorted(zip(list_1, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= limit:
            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.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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:
    nums = [v - i for (i, v) in enumerate(list_2)]
    n = len(nums)
    left = [-1] * n
    stk = []
    for (i, v) in enumerate(nums):
        while stk and nums[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    ans = 0
    dp = [0] * n
    dp[0] = list_2[0]
    for (i, v) in enumerate(list_2):
        j = left[i]
        cnt = min(v, i - j)
        u = v - cnt + 1
        s = (u + v) * cnt // 2
        dp[i] = s + (0 if j == -1 else dp[j])
        ans = max(ans, dp[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.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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_3_plants_static = [-90, -100, 62, 52, 84, -72, -66, -18, 42, 54].
Define task_3_capacityB_static = -57.
Trace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(plants: List[int], val_3: int, capacityB: int) -> int:
    (a, b) = (val_3, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_3
        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_3 = ans
    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": [-61, 93, -77, -22, -10, 71, 80, 62, 41, -79]}.
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.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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:
    (left, right) = (0, len(list_2) - 1)
    while left < right:
        mid = left + right >> 1
        if list_2[mid] > list_2[right]:
            left = mid + 1
        elif list_2[mid] < list_2[right]:
            right = mid
        else:
            right -= 1
    python_result_2 = list_2[left]
    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.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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_3_plants_static = [45, -54, 48, 65, 79, 85, -22, -95, -29, 45].
Define task_3_capacityB_static = 83.
Trace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(plants: List[int], val_3: int, capacityB: int) -> int:
    (a, b) = (val_3, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_3
        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_3 = ans
    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}.
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 = [5, -38, -97, 37, 32, 75, 10, -68, 77, -79].
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.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 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_nums2_static = [52, 73, -28, 28, 63, -23, 47, 38, -58, -3].
Trace the execution of task_2 with inputs nums2 = task_2_nums2_static.
```python
from typing import List
def task_2(list_2: List[int], nums2: List[int]) -> int:
    nums = [a - b for (a, b) in zip(list_2, nums2)]
    nums.sort()
    (l, r) = (0, len(nums) - 1)
    ans = 0
    while l < r:
        while l < r and nums[l] + nums[r] <= 0:
            l += 1
        ans += r - l
        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.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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_3_plants_static = [57, 43, 54, -68, -11, 58, -8, -18, -86, 73].
Define task_3_capacityB_static = 98.
Trace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(plants: List[int], val_3: int, capacityB: int) -> int:
    (a, b) = (val_3, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_3
        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_3 = ans
    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": -86}.
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_initialExperience_static = 100.
Define task_1_energy_static = [67, -49, -36, -8, -17, 75, 85, 4, -96, -45].
Define task_1_experience_static = [66, 35, 42, 17, -43, 19, 44, -65, 92, -95].
Trace the execution of task_1 with inputs initialExperience = task_1_initialExperience_static, energy = task_1_energy_static, experience = task_1_experience_static.
```python
from typing import List
def task_1(val_1: int, initialExperience: int, energy: List[int], experience: List[int]) -> int:
    sum_energy = sum(energy)
    energy_hours = max(0, sum_energy + 1 - val_1)
    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_1 = energy_hours + exp_hours
    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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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 = [-61, 21, -98, -27, -39, 79, -21, 2, 12, 29].
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:
    mx = arr[0]
    cnt = 0
    for x in arr[1:]:
        if mx < x:
            mx = x
            cnt = 1
        else:
            cnt += 1
        if cnt == val_2:
            break
    python_result_2 = mx
    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.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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_3_plants_static = [26, -38, -95, 45, 69, 72, 8, 57, -7, 54].
Define task_3_capacityB_static = 82.
Trace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(plants: List[int], val_3: int, capacityB: int) -> int:
    (a, b) = (val_3, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_3
        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_3 = ans
    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, 93, 97, 29, -72, 26, -49, 57, -45, -79]}.
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
    right = [0] * n
    s = 0
    for (i, x) in enumerate(list_1):
        s = max(s, 0) + x
        left[i] = s
    s = 0
    for i in range(n - 1, -1, -1):
        s = max(s, 0) + list_1[i]
        right[i] = s
    ans = max(left)
    for i in range(1, n - 1):
        ans = max(ans, left[i - 1] + right[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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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:
    while 1:
        (t, s, i) = (val_2, 0, 2)
        while i <= val_2 // i:
            while val_2 % i == 0:
                val_2 //= i
                s += i
            i += 1
        if val_2 > 1:
            s += val_2
        if s == t:
            python_result_2 = t
            return python_result_2
        val_2 = s
```
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.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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_3_plants_static = [93, 6, 98, -89, -93, -30, -43, -49, -64, -76].
Define task_3_capacityB_static = 35.
Trace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(plants: List[int], val_3: int, capacityB: int) -> int:
    (a, b) = (val_3, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_3
        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_3 = ans
    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": -12}.
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.
Trace the execution of task_1.
```python
def task_1(val_1: int) -> int:
    s = list(str(val_1))
    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_1 = int(''.join(s))
    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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 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_3_plants_static = [-35, -14, -83, 8, 51, -52, -51, -99, -29, 94].
Define task_3_capacityB_static = -91.
Trace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(plants: List[int], val_3: int, capacityB: int) -> int:
    (a, b) = (val_3, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_3
        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_3 = ans
    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.