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

Define task_1_input = {"result": [40, 33, -16, 60, 18, -13, 21, -95, -28, 99]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    stk = []
    for v in list_1:
        if not stk or v >= stk[-1]:
            stk.append(v)
        else:
            mx = stk.pop()
            while stk and stk[-1] > v:
                stk.pop()
            stk.append(mx)
    python_result_1 = len(stk)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [48, 31, 25, 38, -31, 17, 8, -15, 78, 90]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    stk = []
    for v in list_1:
        if not stk or v >= stk[-1]:
            stk.append(v)
        else:
            mx = stk.pop()
            while stk and stk[-1] > v:
                stk.pop()
            stk.append(mx)
    python_result_1 = len(stk)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-45, -53, 0, 31, -51, 25, -26, -3, -18, 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.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    stk = []
    for v in list_1:
        if not stk or v >= stk[-1]:
            stk.append(v)
        else:
            mx = stk.pop()
            while stk and stk[-1] > v:
                stk.pop()
            stk.append(mx)
    python_result_1 = len(stk)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [5, -78, -42, 15, 10, -70, 15, -69, -21, 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]) -> int:
    stk = []
    for v in list_1:
        if not stk or v >= stk[-1]:
            stk.append(v)
        else:
            mx = stk.pop()
            while stk and stk[-1] > v:
                stk.pop()
            stk.append(mx)
    python_result_1 = len(stk)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-98, -34, 39, -18, -66, 58, 73, 31, -12, -94]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    stk = []
    for v in list_1:
        if not stk or v >= stk[-1]:
            stk.append(v)
        else:
            mx = stk.pop()
            while stk and stk[-1] > v:
                stk.pop()
            stk.append(mx)
    python_result_1 = len(stk)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-38, -66, -94, 62, -31, -58, 42, -28, 67, 76]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    stk = []
    for v in list_1:
        if not stk or v >= stk[-1]:
            stk.append(v)
        else:
            mx = stk.pop()
            while stk and stk[-1] > v:
                stk.pop()
            stk.append(mx)
    python_result_1 = len(stk)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-16, -83, -77, -1, -49, -96, -56, 26, 16, 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:
    stk = []
    for v in list_1:
        if not stk or v >= stk[-1]:
            stk.append(v)
        else:
            mx = stk.pop()
            while stk and stk[-1] > v:
                stk.pop()
            stk.append(mx)
    python_result_1 = len(stk)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-31, -64, 26, 65, 22, -92, 19, -33, 51, -16]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [27, 53, 5, 1, 1, -31, -29, -35, 38, 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]) -> int:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-98, 6, 91, -79, 38, -69, -26, 84, -79, -14]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [46, 9, 31, 27, 88, 13, 10, -22, 58, 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)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [19, 6, 22, 74, -79, 50, 10, 97, -37, -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]) -> int:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-20, -11, 39, 17, 91, -79, 81, -10, -68, -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)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-33, -5, 48, 45, 8, 10, 57, -72, -33, -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:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [82, 13, -33, 80, 71, -98, -68, 32, -68, -88]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [37, 35, 69, 98, 60, -46, 84, -50, 100, 3]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [52, 85, 76, -28, -30, -39, 35, 63, 36, -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)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-99, -98, 17, -62, 84, 64, 89, 44, 93, -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.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [75, -14, -55, 55, 7, -13, -79, -69, -92, -63]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [47, 7, 61, -10, -20, 45, 81, 22, -6, 35]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-71, 18, -39, -84, -89, 2, 69, -38, -9, -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]) -> int:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [8, 54, 28, 70, -56, -39, 11, -79, -37, -43]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-31, 28, -65, 90, -99, 82, -60, -45, -82, 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:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [3, -37, -68, 48, -34, -31, 50, 30, 21, -50]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    def dfs(nums):
        if len(nums) < 2:
            return 1
        left = [x for x in nums if x < nums[0]]
        right = [x for x in nums if x > nums[0]]
        (m, n) = (len(left), len(right))
        (a, b) = (dfs(left), dfs(right))
        return c[m + n][m] * a % mod * b % mod
    n = len(list_1)
    mod = 10 ** 9 + 7
    c = [[0] * n for _ in range(n)]
    c[0][0] = 1
    for i in range(1, n):
        c[i][0] = 1
        for j in range(1, i + 1):
            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod
    python_result_1 = (dfs(list_1) - 1 + mod) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-57, -77, 45, -86, 59, 45, -22, 50, -82, 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:
    def dfs(nums):
        if len(nums) < 2:
            return 1
        left = [x for x in nums if x < nums[0]]
        right = [x for x in nums if x > nums[0]]
        (m, n) = (len(left), len(right))
        (a, b) = (dfs(left), dfs(right))
        return c[m + n][m] * a % mod * b % mod
    n = len(list_1)
    mod = 10 ** 9 + 7
    c = [[0] * n for _ in range(n)]
    c[0][0] = 1
    for i in range(1, n):
        c[i][0] = 1
        for j in range(1, i + 1):
            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod
    python_result_1 = (dfs(list_1) - 1 + mod) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [86, -67, 58, -29, 97, 37, -91, 17, -56, 31]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    def dfs(nums):
        if len(nums) < 2:
            return 1
        left = [x for x in nums if x < nums[0]]
        right = [x for x in nums if x > nums[0]]
        (m, n) = (len(left), len(right))
        (a, b) = (dfs(left), dfs(right))
        return c[m + n][m] * a % mod * b % mod
    n = len(list_1)
    mod = 10 ** 9 + 7
    c = [[0] * n for _ in range(n)]
    c[0][0] = 1
    for i in range(1, n):
        c[i][0] = 1
        for j in range(1, i + 1):
            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod
    python_result_1 = (dfs(list_1) - 1 + mod) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [39, -70, -40, -19, -3, 79, -69, 84, -10, 89]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    def dfs(nums):
        if len(nums) < 2:
            return 1
        left = [x for x in nums if x < nums[0]]
        right = [x for x in nums if x > nums[0]]
        (m, n) = (len(left), len(right))
        (a, b) = (dfs(left), dfs(right))
        return c[m + n][m] * a % mod * b % mod
    n = len(list_1)
    mod = 10 ** 9 + 7
    c = [[0] * n for _ in range(n)]
    c[0][0] = 1
    for i in range(1, n):
        c[i][0] = 1
        for j in range(1, i + 1):
            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod
    python_result_1 = (dfs(list_1) - 1 + mod) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-57, 72, -1, 16, 8, 70, -25, -79, 61, -21]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    def dfs(nums):
        if len(nums) < 2:
            return 1
        left = [x for x in nums if x < nums[0]]
        right = [x for x in nums if x > nums[0]]
        (m, n) = (len(left), len(right))
        (a, b) = (dfs(left), dfs(right))
        return c[m + n][m] * a % mod * b % mod
    n = len(list_1)
    mod = 10 ** 9 + 7
    c = [[0] * n for _ in range(n)]
    c[0][0] = 1
    for i in range(1, n):
        c[i][0] = 1
        for j in range(1, i + 1):
            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod
    python_result_1 = (dfs(list_1) - 1 + mod) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [45, -87, 32, -26, 2, 60, -72, 30, -45, -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:
    def dfs(nums):
        if len(nums) < 2:
            return 1
        left = [x for x in nums if x < nums[0]]
        right = [x for x in nums if x > nums[0]]
        (m, n) = (len(left), len(right))
        (a, b) = (dfs(left), dfs(right))
        return c[m + n][m] * a % mod * b % mod
    n = len(list_1)
    mod = 10 ** 9 + 7
    c = [[0] * n for _ in range(n)]
    c[0][0] = 1
    for i in range(1, n):
        c[i][0] = 1
        for j in range(1, i + 1):
            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod
    python_result_1 = (dfs(list_1) - 1 + mod) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-63, -55, -89, 69, 40, 82, 94, -61, -79, -5]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    def dfs(nums):
        if len(nums) < 2:
            return 1
        left = [x for x in nums if x < nums[0]]
        right = [x for x in nums if x > nums[0]]
        (m, n) = (len(left), len(right))
        (a, b) = (dfs(left), dfs(right))
        return c[m + n][m] * a % mod * b % mod
    n = len(list_1)
    mod = 10 ** 9 + 7
    c = [[0] * n for _ in range(n)]
    c[0][0] = 1
    for i in range(1, n):
        c[i][0] = 1
        for j in range(1, i + 1):
            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod
    python_result_1 = (dfs(list_1) - 1 + mod) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-74, -21, 63, -30, -90, -34, 26, 52, 82, 99]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    def dfs(nums):
        if len(nums) < 2:
            return 1
        left = [x for x in nums if x < nums[0]]
        right = [x for x in nums if x > nums[0]]
        (m, n) = (len(left), len(right))
        (a, b) = (dfs(left), dfs(right))
        return c[m + n][m] * a % mod * b % mod
    n = len(list_1)
    mod = 10 ** 9 + 7
    c = [[0] * n for _ in range(n)]
    c[0][0] = 1
    for i in range(1, n):
        c[i][0] = 1
        for j in range(1, i + 1):
            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod
    python_result_1 = (dfs(list_1) - 1 + mod) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-84, -24, -93, -86, 63, 40, 14, 19, -14, 55]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    def dfs(nums):
        if len(nums) < 2:
            return 1
        left = [x for x in nums if x < nums[0]]
        right = [x for x in nums if x > nums[0]]
        (m, n) = (len(left), len(right))
        (a, b) = (dfs(left), dfs(right))
        return c[m + n][m] * a % mod * b % mod
    n = len(list_1)
    mod = 10 ** 9 + 7
    c = [[0] * n for _ in range(n)]
    c[0][0] = 1
    for i in range(1, n):
        c[i][0] = 1
        for j in range(1, i + 1):
            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod
    python_result_1 = (dfs(list_1) - 1 + mod) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-51, 84, -9, -15, 61, 75, 18, -79, 93, -60]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    def dfs(nums):
        if len(nums) < 2:
            return 1
        left = [x for x in nums if x < nums[0]]
        right = [x for x in nums if x > nums[0]]
        (m, n) = (len(left), len(right))
        (a, b) = (dfs(left), dfs(right))
        return c[m + n][m] * a % mod * b % mod
    n = len(list_1)
    mod = 10 ** 9 + 7
    c = [[0] * n for _ in range(n)]
    c[0][0] = 1
    for i in range(1, n):
        c[i][0] = 1
        for j in range(1, i + 1):
            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod
    python_result_1 = (dfs(list_1) - 1 + mod) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-20, 14, 35, -13, 11, -31, -5, 62, -100, -51]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    def dfs(nums):
        if len(nums) < 2:
            return 1
        left = [x for x in nums if x < nums[0]]
        right = [x for x in nums if x > nums[0]]
        (m, n) = (len(left), len(right))
        (a, b) = (dfs(left), dfs(right))
        return c[m + n][m] * a % mod * b % mod
    n = len(list_1)
    mod = 10 ** 9 + 7
    c = [[0] * n for _ in range(n)]
    c[0][0] = 1
    for i in range(1, n):
        c[i][0] = 1
        for j in range(1, i + 1):
            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod
    python_result_1 = (dfs(list_1) - 1 + mod) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [82, 89, -62, 61, -74, -71, 96, 3, -87, -41]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    def dfs(nums):
        if len(nums) < 2:
            return 1
        left = [x for x in nums if x < nums[0]]
        right = [x for x in nums if x > nums[0]]
        (m, n) = (len(left), len(right))
        (a, b) = (dfs(left), dfs(right))
        return c[m + n][m] * a % mod * b % mod
    n = len(list_1)
    mod = 10 ** 9 + 7
    c = [[0] * n for _ in range(n)]
    c[0][0] = 1
    for i in range(1, n):
        c[i][0] = 1
        for j in range(1, i + 1):
            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod
    python_result_1 = (dfs(list_1) - 1 + mod) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [68, 50, -21, -46, 70, -47, -47, 64, -48, 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:
    def dfs(nums):
        if len(nums) < 2:
            return 1
        left = [x for x in nums if x < nums[0]]
        right = [x for x in nums if x > nums[0]]
        (m, n) = (len(left), len(right))
        (a, b) = (dfs(left), dfs(right))
        return c[m + n][m] * a % mod * b % mod
    n = len(list_1)
    mod = 10 ** 9 + 7
    c = [[0] * n for _ in range(n)]
    c[0][0] = 1
    for i in range(1, n):
        c[i][0] = 1
        for j in range(1, i + 1):
            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod
    python_result_1 = (dfs(list_1) - 1 + mod) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-96, -78, -28, 38, -82, -55, -79, -51, -80, 29]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    def dfs(nums):
        if len(nums) < 2:
            return 1
        left = [x for x in nums if x < nums[0]]
        right = [x for x in nums if x > nums[0]]
        (m, n) = (len(left), len(right))
        (a, b) = (dfs(left), dfs(right))
        return c[m + n][m] * a % mod * b % mod
    n = len(list_1)
    mod = 10 ** 9 + 7
    c = [[0] * n for _ in range(n)]
    c[0][0] = 1
    for i in range(1, n):
        c[i][0] = 1
        for j in range(1, i + 1):
            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod
    python_result_1 = (dfs(list_1) - 1 + mod) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [92, -6, -7, 89, 74, 78, -28, 81, 85, -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:
    def dfs(nums):
        if len(nums) < 2:
            return 1
        left = [x for x in nums if x < nums[0]]
        right = [x for x in nums if x > nums[0]]
        (m, n) = (len(left), len(right))
        (a, b) = (dfs(left), dfs(right))
        return c[m + n][m] * a % mod * b % mod
    n = len(list_1)
    mod = 10 ** 9 + 7
    c = [[0] * n for _ in range(n)]
    c[0][0] = 1
    for i in range(1, n):
        c[i][0] = 1
        for j in range(1, i + 1):
            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod
    python_result_1 = (dfs(list_1) - 1 + mod) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [67, -36, -30, -37, -22, 15, -74, -8, -82, -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:
    def dfs(nums):
        if len(nums) < 2:
            return 1
        left = [x for x in nums if x < nums[0]]
        right = [x for x in nums if x > nums[0]]
        (m, n) = (len(left), len(right))
        (a, b) = (dfs(left), dfs(right))
        return c[m + n][m] * a % mod * b % mod
    n = len(list_1)
    mod = 10 ** 9 + 7
    c = [[0] * n for _ in range(n)]
    c[0][0] = 1
    for i in range(1, n):
        c[i][0] = 1
        for j in range(1, i + 1):
            c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod
    python_result_1 = (dfs(list_1) - 1 + mod) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-33, -50, -98, 7, 59, -22, -6, -76, 30, -74]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-65, -70, 56, -15, 6, 79, 62, 84, -54, 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:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [24, -47, 56, 3, -16, -26, -77, 40, 59, -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:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [16, -69, -75, 32, 23, 59, 49, -27, -21, -70]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [10, -16, -59, 21, -24, 43, -15, -95, 25, -96]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [13, -12, 19, -32, -3, -35, -17, -64, -43, 70]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [53, -27, -8, -34, -93, -90, -3, 31, 77, -30]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [10, -38, 70, 29, 26, 8, 23, 27, -65, -96]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [83, 19, -27, -32, -69, 31, -18, 33, 51, -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]) -> int:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [16, -66, 13, 6, -75, 62, 12, -55, 66, 10]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [48, -75, 33, 51, 9, -23, -54, -95, -41, -58]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-44, -100, 89, -60, -7, -15, -42, -80, -37, -89]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [78, -63, -56, 97, -66, 70, -28, 20, -19, -99]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-8, 12, 62, 95, 71, 0, 37, -62, 89, -16]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-59, 45, 29, 9, 9, -96, 53, -34, -38, 28]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [54, 2, -15, -10, -5, 51, 8, -92, 51, -89]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [38, -6, -25, 87, -3, 44, 59, 30, -45, 3]}.
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:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [66, -53, -64, 80, 20, -68, -29, 65, 49, -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:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-15, -89, -14, -32, -5, 9, 55, 53, 33, 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:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-6, -68, 16, -55, 9, -68, 46, -28, -48, 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:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-5, -48, 10, 81, -75, 25, 22, -33, 35, -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.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [22, 94, -3, 90, 22, -6, -73, 9, -75, 20]}.
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:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-44, 45, -100, -23, -36, 90, 56, -19, -32, -54]}.
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:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-79, 45, -29, 25, -34, 44, 29, 58, -89, -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:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [43, 20, 3, -48, -18, 64, 15, 81, 41, 15]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [13, 83, 95, 15, -18, 31, 48, 86, -15, 100]}.
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:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-74, 22, 66, -89, -96, -50, 47, 80, -80, 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.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [78, -23, 92, 63, 0, -89, 41, 66, 61, 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:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-74, -91, 41, -25, -34, 23, -10, -24, 96, 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:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [76, 49, 22, -9, -97, 78, 27, -20, -61, 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]) -> int:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [69, -17, -10, -6, -10, -76, 71, -55, -90, 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:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [-98, -63, 17, -81, 86, -71, -72, 44, -90, -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:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.


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

Define task_1_input = {"result": [98, -94, 16, -47, 96, -59, -46, 56, 46, 70]}.
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 = [1] * n
    cnt = [1] * n
    mx = 0
    for i in range(n):
        for j in range(i):
            if list_1[j] < list_1[i]:
                if f[i] < f[j] + 1:
                    f[i] = f[j] + 1
                    cnt[i] = cnt[j]
                elif f[i] == f[j] + 1:
                    cnt[i] += cnt[j]
        if mx < f[i]:
            mx = f[i]
            ans = cnt[i]
        elif mx == f[i]:
            ans += cnt[i]
    python_result_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.