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

Define task_1_input = {"result": [-61, 50, -95, 77, 38, -5, 96, -96, 29, 48]}.
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)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_1[0] > 0)
    g[0] = int(list_1[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_1[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_1[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_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.


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

Define task_1_input = {"result": [-48, 55, 89, -1, -20, 93, 13, 31, 95, 92]}.
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)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_1[0] > 0)
    g[0] = int(list_1[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_1[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_1[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_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.


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

Define task_1_input = {"result": [58, 8, -47, -10, 61, -77, -14, 80, -41, 64]}.
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)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_1[0] > 0)
    g[0] = int(list_1[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_1[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_1[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_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.


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

Define task_1_input = {"result": [92, 17, -22, 90, -82, 23, -20, 66, 18, -42]}.
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)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_1[0] > 0)
    g[0] = int(list_1[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_1[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_1[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_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.


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

Define task_1_input = {"result": [-55, -96, 91, 76, -22, -27, 79, -69, 56, 86]}.
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)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_1[0] > 0)
    g[0] = int(list_1[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_1[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_1[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_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.


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

Define task_1_input = {"result": [33, -44, -45, 22, 3, -55, 37, 17, -33, -17]}.
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)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_1[0] > 0)
    g[0] = int(list_1[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_1[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_1[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_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.


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

Define task_1_input = {"result": [-35, 13, 22, -18, -47, 5, -59, 69, -35, -52]}.
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)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_1[0] > 0)
    g[0] = int(list_1[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_1[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_1[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_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.


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

Define task_1_input = {"result": [-12, -41, 93, 21, 79, 16, -32, -41, 32, 33]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_1[0] > 0)
    g[0] = int(list_1[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_1[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_1[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_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.


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

Define task_1_input = {"result": [-31, 35, -16, -41, -18, -57, -87, 74, -71, -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)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_1[0] > 0)
    g[0] = int(list_1[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_1[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_1[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_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.


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

Define task_1_input = {"result": [36, 9, -17, 47, -98, 75, -90, -22, -100, 52]}.
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)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_1[0] > 0)
    g[0] = int(list_1[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_1[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_1[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_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.


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

Define task_1_input = {"result": [-82, -86, -34, -17, -57, -51, -72, -91, 28, -52]}.
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)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_1[0] > 0)
    g[0] = int(list_1[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_1[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_1[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_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.


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

Define task_1_input = {"result": [-11, -40, 33, -74, 67, 75, 78, 60, -95, 40]}.
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)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_1[0] > 0)
    g[0] = int(list_1[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_1[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_1[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_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.


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

Define task_1_input = {"result": [16, 83, -94, -35, 68, -16, 26, 40, -44, -75]}.
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)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_1[0] > 0)
    g[0] = int(list_1[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_1[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_1[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_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.


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

Define task_1_input = {"result": [62, 83, -29, 86, -39, 1, -92, -86, -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.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_1[0] > 0)
    g[0] = int(list_1[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_1[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_1[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_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.


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

Define task_1_input = {"result": [54, 93, 0, 97, -7, 99, -24, -55, 19, 85]}.
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)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_1[0] > 0)
    g[0] = int(list_1[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_1[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_1[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_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.


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

Define task_1_input = {"result": [-10, 25, -93, 13, 6, -41, -31, -75, 72, -45]}.
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)
    f = [0] * n
    g = [0] * n
    f[0] = int(list_1[0] > 0)
    g[0] = int(list_1[0] < 0)
    ans = f[0]
    for i in range(1, n):
        if list_1[i] > 0:
            f[i] = f[i - 1] + 1
            g[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
        elif list_1[i] < 0:
            f[i] = 0 if g[i - 1] == 0 else g[i - 1] + 1
            g[i] = f[i - 1] + 1
        ans = max(ans, f[i])
    python_result_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.


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

Define task_1_input = {"result": 28}.
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 = 37.
Define task_1_bound_static = 68.
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.


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

Define task_1_input = {"result": -97}.
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 = -26.
Define task_1_bound_static = 67.
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.


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_y_static = -43.
Define task_1_bound_static = 46.
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.


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

Define task_1_input = {"result": 15}.
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 = -16.
Define task_1_bound_static = 54.
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.


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

Define task_1_input = {"result": 73}.
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 = -39.
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.


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

Define task_1_input = {"result": 9}.
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 = 29.
Define task_1_bound_static = 11.
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.


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

Define task_1_input = {"result": 35}.
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 = -52.
Define task_1_bound_static = 53.
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.


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

Define task_1_input = {"result": -34}.
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 = 1.
Define task_1_bound_static = 5.
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.


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

Define task_1_input = {"result": 2}.
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 = 20.
Define task_1_bound_static = 43.
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.


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

Define task_1_input = {"result": -95}.
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 = 36.
Define task_1_bound_static = 12.
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.


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

Define task_1_input = {"result": 68}.
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 = 19.
Define task_1_bound_static = 79.
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.


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

Define task_1_input = {"result": -75}.
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 = 84.
Define task_1_bound_static = 33.
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.


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

Define task_1_input = {"result": -77}.
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 = 40.
Define task_1_bound_static = 9.
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.


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

Define task_1_input = {"result": -2}.
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 = -17.
Define task_1_bound_static = 48.
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.


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

Define task_1_input = {"result": -90}.
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 = -96.
Define task_1_bound_static = 100.
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.


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

Define task_1_input = {"result": 65}.
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 = 32.
Define task_1_bound_static = 84.
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.


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

Define task_1_input = {"result": [-79, -90, -24, 4, 97, -34, -34, -21, -90, -39]}.
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:
    nums = [v - i for (i, v) in enumerate(list_1)]
    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_1[0]
    for (i, v) in enumerate(list_1):
        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_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.


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

Define task_1_input = {"result": [-99, -52, 3, -90, 30, 5, 30, -91, 12, 34]}.
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:
    nums = [v - i for (i, v) in enumerate(list_1)]
    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_1[0]
    for (i, v) in enumerate(list_1):
        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_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.


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

Define task_1_input = {"result": [49, 48, 31, -58, 28, -72, 13, -21, 45, -82]}.
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:
    nums = [v - i for (i, v) in enumerate(list_1)]
    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_1[0]
    for (i, v) in enumerate(list_1):
        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_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.


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

Define task_1_input = {"result": [-39, -31, -16, -37, -72, 19, -7, 13, -1, 34]}.
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:
    nums = [v - i for (i, v) in enumerate(list_1)]
    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_1[0]
    for (i, v) in enumerate(list_1):
        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_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.


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

Define task_1_input = {"result": [-18, -76, 87, -53, 98, -11, 19, -19, 30, 65]}.
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:
    nums = [v - i for (i, v) in enumerate(list_1)]
    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_1[0]
    for (i, v) in enumerate(list_1):
        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_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.


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

Define task_1_input = {"result": [-41, -100, 48, -59, -88, -42, -72, 83, -32, -73]}.
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:
    nums = [v - i for (i, v) in enumerate(list_1)]
    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_1[0]
    for (i, v) in enumerate(list_1):
        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_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.


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

Define task_1_input = {"result": [-44, 46, 100, -40, 79, -65, 69, -35, -89, 6]}.
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:
    nums = [v - i for (i, v) in enumerate(list_1)]
    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_1[0]
    for (i, v) in enumerate(list_1):
        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_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.


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

Define task_1_input = {"result": [52, -5, -27, 69, 18, -18, 36, -81, -18, -12]}.
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:
    nums = [v - i for (i, v) in enumerate(list_1)]
    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_1[0]
    for (i, v) in enumerate(list_1):
        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_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.


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

Define task_1_input = {"result": [-97, 20, -8, 35, 69, -44, -68, 58, -98, -98]}.
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:
    nums = [v - i for (i, v) in enumerate(list_1)]
    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_1[0]
    for (i, v) in enumerate(list_1):
        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_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.


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

Define task_1_input = {"result": [-75, -87, 86, 13, -75, 53, 92, -20, -74, -6]}.
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:
    nums = [v - i for (i, v) in enumerate(list_1)]
    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_1[0]
    for (i, v) in enumerate(list_1):
        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_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.


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

Define task_1_input = {"result": [55, -64, 86, 45, -75, 92, -42, 9, 43, 25]}.
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:
    nums = [v - i for (i, v) in enumerate(list_1)]
    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_1[0]
    for (i, v) in enumerate(list_1):
        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_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.


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

Define task_1_input = {"result": [37, -47, -88, 94, 94, 70, -49, -79, 39, 73]}.
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:
    nums = [v - i for (i, v) in enumerate(list_1)]
    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_1[0]
    for (i, v) in enumerate(list_1):
        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_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.


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

Define task_1_input = {"result": [14, 47, 11, 97, -43, -20, -73, -77, -8, -36]}.
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:
    nums = [v - i for (i, v) in enumerate(list_1)]
    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_1[0]
    for (i, v) in enumerate(list_1):
        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_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.


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

Define task_1_input = {"result": [-30, -43, 95, 12, -23, 80, 8, -46, 78, 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:
    nums = [v - i for (i, v) in enumerate(list_1)]
    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_1[0]
    for (i, v) in enumerate(list_1):
        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_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.


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

Define task_1_input = {"result": [73, -91, 4, -99, -81, -1, -44, -66, -1, -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.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    nums = [v - i for (i, v) in enumerate(list_1)]
    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_1[0]
    for (i, v) in enumerate(list_1):
        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_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.


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

Define task_1_input = {"result": [69, -54, -30, 19, 14, -90, -79, 80, -85, -40]}.
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:
    nums = [v - i for (i, v) in enumerate(list_1)]
    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_1[0]
    for (i, v) in enumerate(list_1):
        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_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.


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

Define task_1_input = {"result": [-65, -42, 46, 61, 87, 80, 1, -5, 27, -6]}.
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)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.


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

Define task_1_input = {"result": [36, -42, 70, -99, 50, 59, -34, -5, 33, 57]}.
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)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.


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

Define task_1_input = {"result": [-71, -45, -14, -94, -72, -81, 66, 71, 9, 57]}.
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)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.


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

Define task_1_input = {"result": [-31, 59, 51, -99, 77, 96, -90, -97, -31, 12]}.
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)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.


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

Define task_1_input = {"result": [-50, 60, -12, -6, 10, -84, -55, 26, -16, 85]}.
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)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.


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

Define task_1_input = {"result": [-40, -75, -62, -2, -49, -9, 86, -60, 36, -97]}.
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)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.


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

Define task_1_input = {"result": [-64, 67, 92, -2, 47, -91, 87, -32, -7, 11]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    n = len(list_1)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.


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

Define task_1_input = {"result": [-64, 59, 93, -94, -98, 70, -18, 28, -62, -2]}.
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)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.


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

Define task_1_input = {"result": [90, 83, 21, -15, 48, -60, -61, -75, -42, -64]}.
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)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.


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

Define task_1_input = {"result": [-50, 4, 69, -44, 80, -33, 83, -47, -82, -62]}.
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)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.


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

Define task_1_input = {"result": [28, -85, -78, -7, -99, 73, -71, 73, 90, -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]:
    n = len(list_1)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.


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

Define task_1_input = {"result": [-32, 88, -25, 95, 86, -7, 72, 28, -81, -47]}.
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)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.


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

Define task_1_input = {"result": [97, -13, -57, -31, -100, 59, -89, 35, 81, 95]}.
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)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.


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

Define task_1_input = {"result": [-4, -75, -89, -43, -83, 23, 57, -34, 7, -91]}.
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)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.


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

Define task_1_input = {"result": [12, -67, -97, 94, 64, 64, -55, 81, 99, -59]}.
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)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.


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

Define task_1_input = {"result": [-100, 48, 97, 54, 49, -38, -19, -46, -2, -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.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    n = len(list_1)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(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.


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

Define task_1_input = {"result": [-23, 9, 0, -63, -4, 63, -42, -57, -45, -52]}.
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_power_static = 19.
Trace the execution of task_1 with inputs power = task_1_power_static.
```python
from typing import List
def task_1(list_1: List[int], power: int) -> int:
    list_1.sort()
    ans = score = 0
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        if power >= list_1[i]:
            power -= list_1[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            power += list_1[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.


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

Define task_1_input = {"result": [6, 50, -71, -1, -29, 40, 68, 47, 26, -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_power_static = -71.
Trace the execution of task_1 with inputs power = task_1_power_static.
```python
from typing import List
def task_1(list_1: List[int], power: int) -> int:
    list_1.sort()
    ans = score = 0
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        if power >= list_1[i]:
            power -= list_1[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            power += list_1[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.


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

Define task_1_input = {"result": [61, -80, 73, -90, 0, -64, 72, 18, -11, 52]}.
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_power_static = -12.
Trace the execution of task_1 with inputs power = task_1_power_static.
```python
from typing import List
def task_1(list_1: List[int], power: int) -> int:
    list_1.sort()
    ans = score = 0
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        if power >= list_1[i]:
            power -= list_1[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            power += list_1[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.


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

Define task_1_input = {"result": [37, -82, -31, -54, -58, -59, -26, 69, 18, 72]}.
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_power_static = 21.
Trace the execution of task_1 with inputs power = task_1_power_static.
```python
from typing import List
def task_1(list_1: List[int], power: int) -> int:
    list_1.sort()
    ans = score = 0
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        if power >= list_1[i]:
            power -= list_1[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            power += list_1[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.


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

Define task_1_input = {"result": [46, 32, 17, -25, -14, -7, -25, -32, -64, 64]}.
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_power_static = -28.
Trace the execution of task_1 with inputs power = task_1_power_static.
```python
from typing import List
def task_1(list_1: List[int], power: int) -> int:
    list_1.sort()
    ans = score = 0
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        if power >= list_1[i]:
            power -= list_1[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            power += list_1[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.


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

Define task_1_input = {"result": [68, 89, -76, -48, 12, -53, 40, -85, -32, 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_power_static = 8.
Trace the execution of task_1 with inputs power = task_1_power_static.
```python
from typing import List
def task_1(list_1: List[int], power: int) -> int:
    list_1.sort()
    ans = score = 0
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        if power >= list_1[i]:
            power -= list_1[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            power += list_1[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.


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

Define task_1_input = {"result": [-62, -99, -21, 56, 72, 39, -100, -94, 50, 68]}.
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_power_static = -23.
Trace the execution of task_1 with inputs power = task_1_power_static.
```python
from typing import List
def task_1(list_1: List[int], power: int) -> int:
    list_1.sort()
    ans = score = 0
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        if power >= list_1[i]:
            power -= list_1[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            power += list_1[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.


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

Define task_1_input = {"result": [39, 96, 40, -73, -78, -54, 45, -62, -100, -62]}.
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_power_static = 80.
Trace the execution of task_1 with inputs power = task_1_power_static.
```python
from typing import List
def task_1(list_1: List[int], power: int) -> int:
    list_1.sort()
    ans = score = 0
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        if power >= list_1[i]:
            power -= list_1[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            power += list_1[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.


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

Define task_1_input = {"result": [-38, -13, 93, 91, 27, -85, -13, -45, 16, 44]}.
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_power_static = -46.
Trace the execution of task_1 with inputs power = task_1_power_static.
```python
from typing import List
def task_1(list_1: List[int], power: int) -> int:
    list_1.sort()
    ans = score = 0
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        if power >= list_1[i]:
            power -= list_1[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            power += list_1[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.


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

Define task_1_input = {"result": [75, -85, 67, 6, -95, 95, 58, 10, 86, -17]}.
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_power_static = 28.
Trace the execution of task_1 with inputs power = task_1_power_static.
```python
from typing import List
def task_1(list_1: List[int], power: int) -> int:
    list_1.sort()
    ans = score = 0
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        if power >= list_1[i]:
            power -= list_1[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            power += list_1[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.


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

Define task_1_input = {"result": [90, -70, -70, 87, 80, -85, -47, -56, -20, 18]}.
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_power_static = -67.
Trace the execution of task_1 with inputs power = task_1_power_static.
```python
from typing import List
def task_1(list_1: List[int], power: int) -> int:
    list_1.sort()
    ans = score = 0
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        if power >= list_1[i]:
            power -= list_1[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            power += list_1[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.


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

Define task_1_input = {"result": [-9, 87, 35, 61, 77, -2, 71, 26, 77, 65]}.
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_power_static = 85.
Trace the execution of task_1 with inputs power = task_1_power_static.
```python
from typing import List
def task_1(list_1: List[int], power: int) -> int:
    list_1.sort()
    ans = score = 0
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        if power >= list_1[i]:
            power -= list_1[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            power += list_1[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.


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

Define task_1_input = {"result": [-99, 37, -48, -20, -32, -60, -69, 87, -53, 37]}.
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_power_static = 14.
Trace the execution of task_1 with inputs power = task_1_power_static.
```python
from typing import List
def task_1(list_1: List[int], power: int) -> int:
    list_1.sort()
    ans = score = 0
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        if power >= list_1[i]:
            power -= list_1[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            power += list_1[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.


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

Define task_1_input = {"result": [46, -1, 31, -66, -87, -37, -28, 65, 88, -60]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_power_static = 91.
Trace the execution of task_1 with inputs power = task_1_power_static.
```python
from typing import List
def task_1(list_1: List[int], power: int) -> int:
    list_1.sort()
    ans = score = 0
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        if power >= list_1[i]:
            power -= list_1[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            power += list_1[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.


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

Define task_1_input = {"result": [30, 82, -82, 22, 18, 54, 39, -50, -24, 90]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_power_static = 91.
Trace the execution of task_1 with inputs power = task_1_power_static.
```python
from typing import List
def task_1(list_1: List[int], power: int) -> int:
    list_1.sort()
    ans = score = 0
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        if power >= list_1[i]:
            power -= list_1[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            power += list_1[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.


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

Define task_1_input = {"result": [58, 100, -26, 35, 31, 19, 90, 50, -52, -17]}.
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_power_static = 67.
Trace the execution of task_1 with inputs power = task_1_power_static.
```python
from typing import List
def task_1(list_1: List[int], power: int) -> int:
    list_1.sort()
    ans = score = 0
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        if power >= list_1[i]:
            power -= list_1[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            power += list_1[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.


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

Define task_1_input = {"result": -62}.
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_tokens_static = [30, -67, -100, -50, -8, -93, -18, 34, -40, 88].
Trace the execution of task_1 with inputs tokens = task_1_tokens_static.
```python
from typing import List
def task_1(tokens: List[int], val_1: int) -> int:
    tokens.sort()
    ans = score = 0
    (i, j) = (0, len(tokens) - 1)
    while i <= j:
        if val_1 >= tokens[i]:
            val_1 -= tokens[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            val_1 += tokens[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    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.