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

Define task_1_input = {"result": [47, -64, -84, 75, -38, -9, -8, -13, -64, -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]) -> List[int]:
    f = True
    while f:
        f = False
        t = list_1[:]
        for i in range(1, len(t) - 1):
            if t[i] > t[i - 1] and t[i] > t[i + 1]:
                list_1[i] -= 1
                f = True
            if t[i] < t[i - 1] and t[i] < t[i + 1]:
                list_1[i] += 1
                f = True
    python_result_1 = list_1
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    stk = []
    for x in list_2:
        if x > 0:
            stk.append(x)
        else:
            while stk and stk[-1] > 0 and (stk[-1] < -x):
                stk.pop()
            if stk and stk[-1] == -x:
                stk.pop()
            elif not stk or stk[-1] < 0:
                stk.append(x)
    python_result_2 = stk
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if list_3[i] % 2 == 0:
            i += 1
        elif list_3[j] % 2 == 1:
            j -= 1
        else:
            (list_3[i], list_3[j]) = (list_3[j], list_3[i])
            (i, j) = (i + 1, j - 1)
    python_result_3 = list_3
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [10, -95, -26, 24, -32, -70, 12, -1, -23, -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]) -> List[int]:
    stk = []
    n = len(list_1)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_1[stk[-1]] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(i)
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    def reverse(arr, j):
        i = 0
        while i < j:
            (arr[i], arr[j]) = (arr[j], arr[i])
            (i, j) = (i + 1, j - 1)
    n = len(list_2)
    ans = []
    for i in range(n - 1, 0, -1):
        j = i
        while j > 0 and list_2[j] != i + 1:
            j -= 1
        if j < i:
            if j > 0:
                ans.append(j + 1)
                reverse(list_2, j)
            ans.append(i + 1)
            reverse(list_2, i)
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if list_3[i] % 2 == 0:
            i += 1
        elif list_3[j] % 2 == 1:
            j -= 1
        else:
            (list_3[i], list_3[j]) = (list_3[j], list_3[i])
            (i, j) = (i + 1, j - 1)
    python_result_3 = list_3
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [-3, 100, -98, 70, 68, 40, 78, 50, -34, 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]) -> List[int]:
    n = len(list_1)
    leftSum = [0] * n
    for i in range(1, n):
        leftSum[i] = leftSum[i - 1] + list_1[i - 1]
    total = sum(list_1)
    answer = []
    for i in range(n):
        rightSum_i = total - list_1[i] - leftSum[i]
        answer.append(abs(leftSum[i] - rightSum_i))
    python_result_1 = answer
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    ans = []
    (i, j) = (0, len(list_2) - 1)
    while i <= j:
        a = list_2[i] * list_2[i]
        b = list_2[j] * list_2[j]
        if a > b:
            ans.append(a)
            i += 1
        else:
            ans.append(b)
            j -= 1
    python_result_2 = ans[::-1]
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if list_3[i] % 2 == 0:
            i += 1
        elif list_3[j] % 2 == 1:
            j -= 1
        else:
            (list_3[i], list_3[j]) = (list_3[j], list_3[i])
            (i, j) = (i + 1, j - 1)
    python_result_3 = list_3
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 51}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_y_static = 9.
Define task_1_bound_static = 81.
Trace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.
```python
from typing import List
def task_1(val_1: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_1 == 1:
            break
        a *= val_1
    python_result_1 = list(ans)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    list_2.sort()
    n = len(list_2)
    f = [1] * n
    k = 0
    for i in range(n):
        for j in range(i):
            if list_2[i] % list_2[j] == 0:
                f[i] = max(f[i], f[j] + 1)
        if f[k] < f[i]:
            k = i
    m = f[k]
    i = k
    ans = []
    while m:
        if list_2[k] % list_2[i] == 0 and f[i] == m:
            ans.append(list_2[i])
            (k, m) = (i, m - 1)
        i -= 1
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if list_3[i] % 2 == 0:
            i += 1
        elif list_3[j] % 2 == 1:
            j -= 1
        else:
            (list_3[i], list_3[j]) = (list_3[j], list_3[i])
            (i, j) = (i + 1, j - 1)
    python_result_3 = list_3
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 67}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [87, -68, -25, 67, 52, 24, -29, -84, -95, -35].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    f = True
    while f:
        f = False
        t = list_2[:]
        for i in range(1, len(t) - 1):
            if t[i] > t[i - 1] and t[i] > t[i + 1]:
                list_2[i] -= 1
                f = True
            if t[i] < t[i - 1] and t[i] < t[i + 1]:
                list_2[i] += 1
                f = True
    python_result_2 = list_2
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if list_3[i] % 2 == 0:
            i += 1
        elif list_3[j] % 2 == 1:
            j -= 1
        else:
            (list_3[i], list_3[j]) = (list_3[j], list_3[i])
            (i, j) = (i + 1, j - 1)
    python_result_3 = list_3
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 38}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_y_static = 28.
Define task_1_bound_static = 66.
Trace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.
```python
from typing import List
def task_1(val_1: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_1 == 1:
            break
        a *= val_1
    python_result_1 = list(ans)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    ans = []
    (i, j) = (0, len(list_2) - 1)
    while i <= j:
        a = list_2[i] * list_2[i]
        b = list_2[j] * list_2[j]
        if a > b:
            ans.append(a)
            i += 1
        else:
            ans.append(b)
            j -= 1
    python_result_2 = ans[::-1]
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if list_3[i] % 2 == 0:
            i += 1
        elif list_3[j] % 2 == 1:
            j -= 1
        else:
            (list_3[i], list_3[j]) = (list_3[j], list_3[i])
            (i, j) = (i + 1, j - 1)
    python_result_3 = list_3
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [49, -27, -50, 39, 0, 53, 29, -38, 78, 78]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    n = len(list_1)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(list_1[i])
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    n = len(list_2)
    suf = [0] * (n + 1)
    s = set()
    for i in range(n - 1, -1, -1):
        s.add(list_2[i])
        suf[i] = len(s)
    s.clear()
    ans = [0] * n
    for (i, x) in enumerate(list_2):
        s.add(x)
        ans[i] = len(s) - suf[i + 1]
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if list_3[i] % 2 == 0:
            i += 1
        elif list_3[j] % 2 == 1:
            j -= 1
        else:
            (list_3[i], list_3[j]) = (list_3[j], list_3[i])
            (i, j) = (i + 1, j - 1)
    python_result_3 = list_3
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -81}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_arr_static = [-86, 39, 77, 89, -3, 16, -79, 74, -20, -94].
Trace the execution of task_1 with inputs arr = task_1_arr_static.
```python
from typing import List
def task_1(arr: List[int], val_1: int) -> int:
    if arr[0] > val_1:
        python_result_1 = val_1
        return python_result_1
    (left, right) = (0, len(arr))
    while left < right:
        mid = left + right >> 1
        if arr[mid] - mid - 1 >= val_1:
            right = mid
        else:
            left = mid + 1
    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [53, -14, 32, 54, 42, 73, -35, 60, -55, 100].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if list_3[i] % 2 == 0:
            i += 1
        elif list_3[j] % 2 == 1:
            j -= 1
        else:
            (list_3[i], list_3[j]) = (list_3[j], list_3[i])
            (i, j) = (i + 1, j - 1)
    python_result_3 = list_3
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -40}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [-16, -35, 24, -45, -93, -96, 69, -64, 46, 39].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    n = len(list_2)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_2):
        while stk and list_2[stk[-1]] <= x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_2[stk[-1]] <= list_2[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if list_3[i] % 2 == 0:
            i += 1
        elif list_3[j] % 2 == 1:
            j -= 1
        else:
            (list_3[i], list_3[j]) = (list_3[j], list_3[i])
            (i, j) = (i + 1, j - 1)
    python_result_3 = list_3
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [70, -42, 47, 69, -43, 0, 58, 37, -78, -13]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    if list_1[0] <= list_1[-1]:
        python_result_1 = list_1[0]
        return python_result_1
    (left, right) = (0, len(list_1) - 1)
    while left < right:
        mid = left + right >> 1
        if list_1[0] <= list_1[mid]:
            left = mid + 1
        else:
            right = mid
    python_result_1 = list_1[left]
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = 89.
Define task_2_bound_static = 69.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if list_3[i] % 2 == 0:
            i += 1
        elif list_3[j] % 2 == 1:
            j -= 1
        else:
            (list_3[i], list_3[j]) = (list_3[j], list_3[i])
            (i, j) = (i + 1, j - 1)
    python_result_3 = list_3
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 96}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [-63, 69, -69, 17, 43, -49, 31, 57, 34, 76].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> int:
    nums.sort()
    n = len(nums)
    m = n >> 1
    ans = abs(nums[m] - val_1)
    if nums[m] > val_1:
        for i in range(m - 1, -1, -1):
            if nums[i] <= val_1:
                break
            ans += nums[i] - val_1
    else:
        for i in range(m + 1, n):
            if nums[i] >= val_1:
                break
            ans += val_1 - nums[i]
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [3, 87, -15, 1, -64, -84, -46, -39, 77, 18].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if list_3[i] % 2 == 0:
            i += 1
        elif list_3[j] % 2 == 1:
            j -= 1
        else:
            (list_3[i], list_3[j]) = (list_3[j], list_3[i])
            (i, j) = (i + 1, j - 1)
    python_result_3 = list_3
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -30}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [25, 20, 60, -2, 68, -9, -25, -92, 47, 61].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    (i, j) = (0, len(list_2) - 1)
    while i < j:
        if list_2[i] % 2 == 0:
            i += 1
        elif list_2[j] % 2 == 1:
            j -= 1
        else:
            (list_2[i], list_2[j]) = (list_2[j], list_2[i])
            (i, j) = (i + 1, j - 1)
    python_result_2 = list_2
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if list_3[i] % 2 == 0:
            i += 1
        elif list_3[j] % 2 == 1:
            j -= 1
        else:
            (list_3[i], list_3[j]) = (list_3[j], list_3[i])
            (i, j) = (i + 1, j - 1)
    python_result_3 = list_3
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [82, 18, 2, 71, 70, 28, -26, -53, -39, -67]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_k_static = -96.
Trace the execution of task_1 with inputs k = task_1_k_static.
```python
from typing import List
def task_1(list_1: List[int], k: int) -> int:
    if list_1[0] > k:
        python_result_1 = k
        return python_result_1
    (left, right) = (0, len(list_1))
    while left < right:
        mid = left + right >> 1
        if list_1[mid] - mid - 1 >= k:
            right = mid
        else:
            left = mid + 1
    python_result_1 = list_1[left - 1] + k - (list_1[left - 1] - (left - 1) - 1)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = 61.
Define task_2_bound_static = 99.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if list_3[i] % 2 == 0:
            i += 1
        elif list_3[j] % 2 == 1:
            j -= 1
        else:
            (list_3[i], list_3[j]) = (list_3[j], list_3[i])
            (i, j) = (i + 1, j - 1)
    python_result_3 = list_3
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [-99, 43, -49, -40, -35, -48, -64, 57, 76, -38]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    def reverse(arr, j):
        i = 0
        while i < j:
            (arr[i], arr[j]) = (arr[j], arr[i])
            (i, j) = (i + 1, j - 1)
    n = len(list_1)
    ans = []
    for i in range(n - 1, 0, -1):
        j = i
        while j > 0 and list_1[j] != i + 1:
            j -= 1
        if j < i:
            if j > 0:
                ans.append(j + 1)
                reverse(list_1, j)
            ans.append(i + 1)
            reverse(list_1, i)
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    n = len(list_2)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_2):
        while stk and list_2[stk[-1]] >= x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_2[stk[-1]] >= list_2[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    ans = [0] * n
    for i in range(n):
        m = right[i] - left[i] - 1
        ans[m - 1] = max(ans[m - 1], list_2[i])
    for i in range(n - 2, -1, -1):
        ans[i] = max(ans[i], ans[i + 1])
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if list_3[i] % 2 == 0:
            i += 1
        elif list_3[j] % 2 == 1:
            j -= 1
        else:
            (list_3[i], list_3[j]) = (list_3[j], list_3[i])
            (i, j) = (i + 1, j - 1)
    python_result_3 = list_3
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [49, -59, -77, -99, -57, -55, 69, -93, -19, 33]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    n = len(list_1)
    suf = [0] * (n + 1)
    s = set()
    for i in range(n - 1, -1, -1):
        s.add(list_1[i])
        suf[i] = len(s)
    s.clear()
    ans = [0] * n
    for (i, x) in enumerate(list_1):
        s.add(x)
        ans[i] = len(s) - suf[i + 1]
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    n = len(list_2)
    leftSum = [0] * n
    for i in range(1, n):
        leftSum[i] = leftSum[i - 1] + list_2[i - 1]
    total = sum(list_2)
    answer = []
    for i in range(n):
        rightSum_i = total - list_2[i] - leftSum[i]
        answer.append(abs(leftSum[i] - rightSum_i))
    python_result_2 = answer
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    (i, j) = (0, len(list_3) - 1)
    while i < j:
        if list_3[i] % 2 == 0:
            i += 1
        elif list_3[j] % 2 == 1:
            j -= 1
        else:
            (list_3[i], list_3[j]) = (list_3[j], list_3[i])
            (i, j) = (i + 1, j - 1)
    python_result_3 = list_3
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 96}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [57, -68, 37, -8, -82, -64, 69, 100, -2, 83].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Define task_2_k_static = -12.
Trace the execution of task_2 with inputs k = task_2_k_static.
```python
from typing import List
def task_2(list_2: List[int], k: int) -> int:
    if list_2[0] > k:
        python_result_2 = k
        return python_result_2
    (left, right) = (0, len(list_2))
    while left < right:
        mid = left + right >> 1
        if list_2[mid] - mid - 1 >= k:
            right = mid
        else:
            left = mid + 1
    python_result_2 = list_2[left - 1] + k - (list_2[left - 1] - (left - 1) - 1)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_3.
```python
def task_3(val_3: int) -> int:
    s = list(str(val_3))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_3 = int(''.join(s))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 12}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_1.
```python
def task_1(val_1: int) -> int:
    (s, k) = (0, 1)
    while s + k * (k + 1) // 2 <= val_1:
        s += k * (k + 1) // 2
        k += 1
    k -= 1
    ans = k * (k + 1) // 2
    k = 1
    while s < val_1:
        ans += 1
        s += k
        k += 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_plants_static = [-56, 14, 99, 16, 92, 51, 17, -78, -41, -14].
Define task_2_capacityB_static = 55.
Trace the execution of task_2 with inputs plants = task_2_plants_static, capacityB = task_2_capacityB_static.
```python
from typing import List
def task_2(plants: List[int], val_2: int, capacityB: int) -> int:
    (a, b) = (val_2, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_2
        a -= plants[i]
        if b < plants[j]:
            ans += 1
            b = capacityB
        b -= plants[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < plants[i]
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_3.
```python
def task_3(val_3: int) -> int:
    s = list(str(val_3))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_3 = int(''.join(s))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [-23, 64, 74, -71, -3, 39, 71, 70, 88, -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]) -> List[int]:
    list_1.sort()
    n = len(list_1)
    f = [1] * n
    k = 0
    for i in range(n):
        for j in range(i):
            if list_1[i] % list_1[j] == 0:
                f[i] = max(f[i], f[j] + 1)
        if f[k] < f[i]:
            k = i
    m = f[k]
    i = k
    ans = []
    while m:
        if list_1[k] % list_1[i] == 0 and f[i] == m:
            ans.append(list_1[i])
            (k, m) = (i, m - 1)
        i -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> int:
    def f(x: int) -> int:
        i = 2
        (cnt, s) = (2, x + 1)
        while i <= x // i:
            if x % i == 0:
                cnt += 1
                s += i
                if i * i != x:
                    cnt += 1
                    s += x // i
            i += 1
        return s if cnt == 4 else 0
    python_result_2 = sum((f(x) for x in list_2))
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_3.
```python
def task_3(val_3: int) -> int:
    s = list(str(val_3))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_3 = int(''.join(s))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [-27, 2, 13, 62, 74, -97, 40, -82, 96, 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:
    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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_plants_static = [79, 18, 59, 36, -39, -16, 71, 2, 71, 89].
Define task_2_capacityB_static = 89.
Trace the execution of task_2 with inputs plants = task_2_plants_static, capacityB = task_2_capacityB_static.
```python
from typing import List
def task_2(plants: List[int], val_2: int, capacityB: int) -> int:
    (a, b) = (val_2, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_2
        a -= plants[i]
        if b < plants[j]:
            ans += 1
            b = capacityB
        b -= plants[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < plants[i]
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_3.
```python
def task_3(val_3: int) -> int:
    s = list(str(val_3))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_3 = int(''.join(s))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [-86, -51, -20, -55, 95, -2, 4, -55, -11, 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.
Define task_1_passengers_static = [-60, -8, -81, 94, -25, 60, 32, -33, -30, -79].
Define task_1_capacity_static = -47.
Trace the execution of task_1 with inputs passengers = task_1_passengers_static, capacity = task_1_capacity_static.
```python
from typing import List
def task_1(list_1: List[int], passengers: List[int], capacity: int) -> int:
    list_1.sort()
    passengers.sort()
    j = 0
    for t in list_1:
        c = capacity
        while c and j < len(passengers) and (passengers[j] <= t):
            (c, j) = (c - 1, j + 1)
    j -= 1
    ans = list_1[-1] if c else passengers[j]
    while ~j and passengers[j] == ans:
        (ans, j) = (ans - 1, j - 1)
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_buses_static = [-24, -32, 48, -71, 49, 52, 92, 47, -65, 90].
Define task_2_passengers_static = [-73, 36, -18, 32, 93, 0, 93, -17, 6, -55].
Trace the execution of task_2 with inputs buses = task_2_buses_static, passengers = task_2_passengers_static.
```python
from typing import List
def task_2(buses: List[int], passengers: List[int], val_2: int) -> int:
    buses.sort()
    passengers.sort()
    j = 0
    for t in buses:
        c = val_2
        while c and j < len(passengers) and (passengers[j] <= t):
            (c, j) = (c - 1, j + 1)
    j -= 1
    ans = buses[-1] if c else passengers[j]
    while ~j and passengers[j] == ans:
        (ans, j) = (ans - 1, j - 1)
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_3.
```python
def task_3(val_3: int) -> int:
    s = list(str(val_3))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_3 = int(''.join(s))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [-43, -58, -63, 60, -41, 43, 69, -65, -94, 92]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    list_1.sort()
    n = len(list_1)
    f = [1] * n
    k = 0
    for i in range(n):
        for j in range(i):
            if list_1[i] % list_1[j] == 0:
                f[i] = max(f[i], f[j] + 1)
        if f[k] < f[i]:
            k = i
    m = f[k]
    i = k
    ans = []
    while m:
        if list_1[k] % list_1[i] == 0 and f[i] == m:
            ans.append(list_1[i])
            (k, m) = (i, m - 1)
        i -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> int:
    n = len(list_2)
    right = [n] * n
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_2[stk[-1]] >= list_2[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_2 = sum((j - i for (i, j) in enumerate(right)))
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_3.
```python
def task_3(val_3: int) -> int:
    s = list(str(val_3))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_3 = int(''.join(s))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -23}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_y_static = 64.
Define task_1_bound_static = 21.
Trace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.
```python
from typing import List
def task_1(val_1: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_1 == 1:
            break
        a *= val_1
    python_result_1 = list(ans)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Define task_2_k_static = -30.
Trace the execution of task_2 with inputs k = task_2_k_static.
```python
from typing import List
def task_2(list_2: List[int], k: int) -> int:
    mx = max(list_2)
    n = len(list_2)
    ans = cnt = j = 0
    for x in list_2:
        while j < n and cnt < k:
            cnt += list_2[j] == mx
            j += 1
        if cnt < k:
            break
        ans += n - j + 1
        cnt -= x == mx
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_3.
```python
def task_3(val_3: int) -> int:
    s = list(str(val_3))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_3 = int(''.join(s))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -62}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [-61, -98, -80, 84, -2, 36, 73, 42, 29, -57].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> int:
    (ans, y) = (1, nums[0])
    for x in nums[1:]:
        if x == 0:
            python_result_1 = 1
            return python_result_1
        if x * y <= val_1:
            y *= x
        else:
            y = x
            ans += 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_tokens_static = [-4, -18, 8, -2, 26, 45, -47, -66, 27, 74].
Trace the execution of task_2 with inputs tokens = task_2_tokens_static.
```python
from typing import List
def task_2(tokens: List[int], val_2: int) -> int:
    tokens.sort()
    ans = score = 0
    (i, j) = (0, len(tokens) - 1)
    while i <= j:
        if val_2 >= tokens[i]:
            val_2 -= tokens[i]
            (score, i) = (score + 1, i + 1)
            ans = max(ans, score)
        elif score:
            val_2 += tokens[j]
            (score, j) = (score - 1, j - 1)
        else:
            break
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_3.
```python
def task_3(val_3: int) -> int:
    s = list(str(val_3))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_3 = int(''.join(s))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [-79, 89, -63, 1, 9, 9, 17, -48, -8, -14]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_k_static = -77.
Trace the execution of task_1 with inputs k = task_1_k_static.
```python
from typing import List
def task_1(list_1: List[int], k: int) -> int:
    mx = list_1[0]
    cnt = 0
    for x in list_1[1:]:
        if mx < x:
            mx = x
            cnt = 1
        else:
            cnt += 1
        if cnt == k:
            break
    python_result_1 = mx
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_2.
```python
def task_2(val_2: int) -> int:
    ans = 0
    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)
    while val_2:
        if ans < mi // 10 + 1 or ans > mx // 10:
            python_result_2 = 0
            return python_result_2
        y = val_2 % 10
        if val_2 < 0 and y > 0:
            y -= 10
        ans = ans * 10 + y
        val_2 = (val_2 - y) // 10
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_3.
```python
def task_3(val_3: int) -> int:
    s = list(str(val_3))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_3 = int(''.join(s))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [54, 6, -14, -84, 94, -77, -32, 65, 38, -78]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    stk = []
    left = [-1] * n
    right = [n] * n
    for (i, h) in enumerate(list_1):
        while stk and list_1[stk[-1]] >= h:
            right[stk[-1]] = i
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    python_result_1 = max((h * (right[i] - left[i] - 1) for (i, h) in enumerate(list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_2.
```python
def task_2(val_2: int) -> int:
    ans = 0
    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)
    while val_2:
        if ans < mi // 10 + 1 or ans > mx // 10:
            python_result_2 = 0
            return python_result_2
        y = val_2 % 10
        if val_2 < 0 and y > 0:
            y -= 10
        ans = ans * 10 + y
        val_2 = (val_2 - y) // 10
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_3.
```python
def task_3(val_3: int) -> int:
    s = list(str(val_3))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_3 = int(''.join(s))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 60}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_arr_static = [72, 31, 61, 15, -26, -39, 52, 66, -5, -32].
Trace the execution of task_1 with inputs arr = task_1_arr_static.
```python
from typing import List
def task_1(arr: List[int], val_1: int) -> int:
    if arr[0] > val_1:
        python_result_1 = val_1
        return python_result_1
    (left, right) = (0, len(arr))
    while left < right:
        mid = left + right >> 1
        if arr[mid] - mid - 1 >= val_1:
            right = mid
        else:
            left = mid + 1
    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_skills_static = [-9, -89, -55, 29, 63, -32, 85, 75, -92, 13].
Trace the execution of task_2 with inputs skills = task_2_skills_static.
```python
from typing import List
def task_2(skills: List[int], val_2: int) -> int:
    n = len(skills)
    val_2 = min(val_2, n - 1)
    i = cnt = 0
    for j in range(1, n):
        if skills[i] < skills[j]:
            i = j
            cnt = 1
        else:
            cnt += 1
        if cnt == val_2:
            break
    python_result_2 = i
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_3.
```python
def task_3(val_3: int) -> int:
    s = list(str(val_3))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_3 = int(''.join(s))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 32}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_1.
```python
def task_1(val_1: int) -> int:
    while 1:
        (t, s, i) = (val_1, 0, 2)
        while i <= val_1 // i:
            while val_1 % i == 0:
                val_1 //= i
                s += i
            i += 1
        if val_1 > 1:
            s += val_1
        if s == t:
            python_result_1 = t
            return python_result_1
        val_1 = s
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_arr_static = [20, 40, -20, -82, 42, -68, 85, -86, -12, 49].
Trace the execution of task_2 with inputs arr = task_2_arr_static.
```python
from typing import List
def task_2(arr: List[int], val_2: int) -> int:
    mx = arr[0]
    cnt = 0
    for x in arr[1:]:
        if mx < x:
            mx = x
            cnt = 1
        else:
            cnt += 1
        if cnt == val_2:
            break
    python_result_2 = mx
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_3.
```python
def task_3(val_3: int) -> int:
    s = list(str(val_3))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_3 = int(''.join(s))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 70}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [83, -31, 52, 25, 17, -90, -22, 67, 18, -36].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> int:
    nums.sort()
    (ans, n) = (0, len(nums))
    for i in range(n - 2):
        (j, k) = (i + 1, n - 1)
        while j < k:
            x = nums[i] + nums[j] + nums[k]
            if x < val_1:
                ans += k - j
                j += 1
            else:
                k -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_buses_static = [-54, 54, -30, 61, -27, 80, -56, 24, -60, -30].
Define task_2_passengers_static = [-13, -99, -40, 99, -56, 61, 11, 72, 73, 10].
Trace the execution of task_2 with inputs buses = task_2_buses_static, passengers = task_2_passengers_static.
```python
from typing import List
def task_2(buses: List[int], passengers: List[int], val_2: int) -> int:
    buses.sort()
    passengers.sort()
    j = 0
    for t in buses:
        c = val_2
        while c and j < len(passengers) and (passengers[j] <= t):
            (c, j) = (c - 1, j + 1)
    j -= 1
    ans = buses[-1] if c else passengers[j]
    while ~j and passengers[j] == ans:
        (ans, j) = (ans - 1, j - 1)
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_3.
```python
def task_3(val_3: int) -> int:
    s = list(str(val_3))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_3 = int(''.join(s))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -16}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [-16, -70, -33, -16, -88, -62, 50, 55, 48, 77].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> int:
    g = []
    for x in list_2:
        (l, r) = (0, len(g))
        while l < r:
            mid = l + r >> 1
            if g[mid] < x:
                r = mid
            else:
                l = mid + 1
        if l == len(g):
            g.append(x)
        else:
            g[l] = x
    python_result_2 = len(g)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_3.
```python
def task_3(val_3: int) -> int:
    s = list(str(val_3))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_3 = int(''.join(s))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -17}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [-81, -8, -3, 52, 97, -18, -23, 67, 51, 73].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> int:
    nums.sort()
    (ans, n) = (0, len(nums))
    for i in range(n - 2):
        (j, k) = (i + 1, n - 1)
        while j < k:
            x = nums[i] + nums[j] + nums[k]
            if x < val_1:
                ans += k - j
                j += 1
            else:
                k -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_arr_static = [46, 48, 12, -51, 80, 51, 45, 8, 41, 4].
Trace the execution of task_2 with inputs arr = task_2_arr_static.
```python
from typing import List
def task_2(arr: List[int], val_2: int) -> int:
    s = mx_pre = mi_pre = mx_sub = 0
    for x in arr:
        s += x
        mx_pre = max(mx_pre, s)
        mi_pre = min(mi_pre, s)
        mx_sub = max(mx_sub, s - mi_pre)
    ans = mx_sub
    mod = 10 ** 9 + 7
    if val_2 == 1:
        python_result_2 = ans % mod
        return python_result_2
    mx_suf = s - mi_pre
    ans = max(ans, mx_pre + mx_suf)
    if s > 0:
        ans = max(ans, (val_2 - 2) * s + mx_pre + mx_suf)
    python_result_2 = ans % mod
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_3.
```python
def task_3(val_3: int) -> int:
    s = list(str(val_3))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_3 = int(''.join(s))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [-12, 85, 14, 17, -98, 61, -67, 57, 95, -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]) -> List[int]:
    n = len(list_1)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] <= x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_1[stk[-1]] <= list_1[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Define task_2_s_static = [2, -14, -99, -59, -28, 32, -19, -70, -42, 34].
Trace the execution of task_2 with inputs s = task_2_s_static.
```python
from typing import List
def task_2(list_2: List[int], s: List[int]) -> int:
    list_2.sort()
    s.sort()
    j = 0
    for (i, x) in enumerate(list_2):
        while j < len(s) and s[j] < list_2[i]:
            j += 1
        if j >= len(s):
            python_result_2 = i
            return python_result_2
        j += 1
    python_result_2 = len(list_2)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_3.
```python
def task_3(val_3: int) -> int:
    s = list(str(val_3))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_3 = int(''.join(s))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.