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

Define task_1_input = {"result": [-34, 46, -98, -77, -16, 52, -25, -100, 75, -25]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_limit_static = -38.
Trace the execution of task_1 with inputs limit = task_1_limit_static.
```python
from typing import List
def task_1(list_1: List[int], limit: int) -> List[int]:
    n = len(list_1)
    arr = sorted(zip(list_1, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= limit:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [49, -53, 90, 28, 8, 36, -25, -88, -16, 43]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Define task_2_queries_static = [-40, 20, -60, -43, -60, -62, 51, -12, -61, -90].
Trace the execution of task_2 with inputs queries = task_2_queries_static.
```python
from typing import List
def task_2(list_2: List[int], queries: List[int]) -> int:
    n = len(list_2)
    f = [[0] * n for _ in range(n)]
    m = len(queries)
    for i in range(n):
        for j in range(n - 1, i - 1, -1):
            if i:
                f[i][j] = max(f[i][j], f[i - 1][j] + (list_2[i - 1] >= queries[f[i - 1][j]]))
            if j + 1 < n:
                f[i][j] = max(f[i][j], f[i][j + 1] + (list_2[j + 1] >= queries[f[i][j + 1]]))
            if f[i][j] == m:
                python_result_2 = m
                return python_result_2
    python_result_2 = max((f[i][i] + (list_2[i] >= queries[f[i][i]]) for i in range(n)))
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-24, 46, 57, -18, 10, -37, -44, 16, -19, -10]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_3):
        while stk and list_3[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_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]
    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, -79, -45, 43, -67, 79, -75, -62, 36, -66]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_k_static = -78.
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.

Define task_2_input = {"result": [8, 61, -3, 61, -24, 85, -74, 25, -83, 12]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    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.

Define task_3_input = {"result": [98, 46, 63, 7, 9, -4, 42, 99, 75, 82]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_3):
        while stk and list_3[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_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [39, -31, 52, 99, -79, -60, -24, 27, 49, -44]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> 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.

Define task_2_input = {"result": -54}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -34.
Define task_2_bound_static = 38.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-81, 37, -45, -80, -67, -49, -82, -68, -55, -72]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_3):
        while stk and list_3[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_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]
    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": [93, -93, 23, 29, -61, -40, 10, 100, 98, -20]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = [0, 0]
    n = len(list_1)
    for i in range(2):
        for j in range(i, n, 2):
            d = 0
            if j:
                d = max(d, list_1[j] - list_1[j - 1] + 1)
            if j < n - 1:
                d = max(d, list_1[j] - list_1[j + 1] + 1)
            ans[i] += d
    python_result_1 = min(ans)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": -89}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_plants_static = [92, -19, 53, -91, 56, 29, -68, -83, -3, 37].
Define task_2_capacityB_static = 82.
Trace the execution of task_2 with inputs plants = task_2_plants_static, capacityB = task_2_capacityB_static.
```python
from typing import List
def task_2(plants: List[int], val_2: int, capacityB: int) -> int:
    (a, b) = (val_2, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_2
        a -= plants[i]
        if b < plants[j]:
            ans += 1
            b = capacityB
        b -= plants[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < plants[i]
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-58, 8, -38, 81, -38, -81, -17, 86, -40, 4]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_3):
        while stk and list_3[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_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]
    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": 45}.
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 = [-98, 52, 26, -17, 61, 64, -24, 4, 18, 21].
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:
    mx = arr[0]
    cnt = 0
    for x in arr[1:]:
        if mx < x:
            mx = x
            cnt = 1
        else:
            cnt += 1
        if cnt == val_1:
            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.

Define task_2_input = {"result": 43}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -53.
Define task_2_bound_static = 10.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-20, 52, -97, 4, -91, 90, -65, 36, -17, -82]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_3):
        while stk and list_3[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_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]
    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}.
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_plants_static = [-57, 26, -25, 67, -43, 37, -82, 58, -3, 50].
Define task_1_capacityB_static = 46.
Trace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.
```python
from typing import List
def task_1(plants: List[int], val_1: int, capacityB: int) -> int:
    (a, b) = (val_1, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_1
        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_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [-7, 95, -17, 61, 1, 82, 69, 99, 65, -2]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> int:
    ans = s = 0
    pos = {}
    for (i, x) in enumerate(list_2):
        s += 1 if x > 8 else -1
        if s > 0:
            ans = i + 1
        elif s - 1 in pos:
            ans = max(ans, i - pos[s - 1])
        if s not in pos:
            pos[s] = i
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-88, -47, 84, -1, 25, 58, -17, 97, -39, -52]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_3):
        while stk and list_3[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_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 91}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_1.
```python
def task_1(val_1: int) -> int:
    s = list(str(val_1))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_1 = int(''.join(s))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 36}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -39.
Define task_2_bound_static = 43.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-12, 78, -77, 41, -91, -59, 39, -19, -22, -67]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_3):
        while stk and list_3[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_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 54}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_y_static = 87.
Define task_1_bound_static = 90.
Trace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.
```python
from typing import List
def task_1(val_1: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_1 == 1:
            break
        a *= val_1
    python_result_1 = list(ans)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [54, -41, 77, 69, 91, -55, -51, 72, -28, -63]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    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.

Define task_3_input = {"result": [82, 32, 21, -30, -40, -39, 24, 81, 7, 5]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_3):
        while stk and list_3[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_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -20}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_1.
```python
def task_1(val_1: int) -> int:
    s = list(str(val_1))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_1 = int(''.join(s))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [-7, 70, -89, -27, -7, 11, 25, 10, -87, -71]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    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.

Define task_3_input = {"result": [-6, 81, 37, -12, 14, 16, -30, 57, -53, -64]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_3):
        while stk and list_3[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_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [50, -74, 20, -28, -37, -94, 66, -82, -45, 77]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_k_static = -97.
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:
    list_1.sort()
    n = len(list_1)
    m = n >> 1
    ans = abs(list_1[m] - k)
    if list_1[m] > k:
        for i in range(m - 1, -1, -1):
            if list_1[i] <= k:
                break
            ans += list_1[i] - k
    else:
        for i in range(m + 1, n):
            if list_1[i] >= k:
                break
            ans += k - 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.

Define task_2_input = {"result": [-19, -61, 99, 34, -65, 50, -22, 92, -98, 54]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> int:
    n = len(list_2)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, v) in enumerate(list_2):
        while stk and list_2[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_2[stk[-1]] > list_2[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    mod = 10 ** 9 + 7
    python_result_2 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_2))) % 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.

Define task_3_input = {"result": [21, 15, -43, 28, -31, -83, -62, 62, -34, -1]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_3):
        while stk and list_3[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_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]
    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_y_static = -82.
Define task_1_bound_static = 91.
Trace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.
```python
from typing import List
def task_1(val_1: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_1 == 1:
            break
        a *= val_1
    python_result_1 = list(ans)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [34, 55, 72, -73, 83, -76, 89, -76, -78, -41]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    f = True
    while f:
        f = False
        t = list_2[:]
        for i in range(1, len(t) - 1):
            if t[i] > t[i - 1] and t[i] > t[i + 1]:
                list_2[i] -= 1
                f = True
            if t[i] < t[i - 1] and t[i] < t[i + 1]:
                list_2[i] += 1
                f = True
    python_result_2 = list_2
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [16, -92, -61, -63, 71, -15, 73, -94, -49, -34]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_3):
        while stk and list_3[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_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]
    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": -36}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_1.
```python
def task_1(val_1: int) -> int:
    s = list(str(val_1))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_1 = int(''.join(s))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": -45}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [0, 67, -44, 98, -13, -96, -9, 91, 28, -84].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [47, 69, 64, 31, -77, -71, 45, 62, 70, 73]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    n = len(list_3)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_3):
        while stk and list_3[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_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_3 = [r - l - 1 for (l, r) in zip(left, right)]
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 29}.
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 = 95.
Define task_1_bound_static = 65.
Trace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.
```python
from typing import List
def task_1(val_1: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_1 == 1:
            break
        a *= val_1
    python_result_1 = list(ans)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": -39}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_arr_static = [93, 80, -53, -86, 50, 61, 17, 30, -96, 32].
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.

Define task_3_input = {"result": [-91, 87, -50, 82, -26, 55, 75, -66, -8, -15]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [-16, -61, 2, 1, 41, 26, -87, -27, 9, 31].
Trace the execution of task_3 with inputs nums2 = task_3_nums2_static.
```python
from typing import List
def task_3(list_3: List[int], nums2: List[int]) -> int:
    mod = 10 ** 9 + 7
    (m, n) = (len(list_3), len(nums2))
    i = j = 0
    f = g = 0
    while i < m or j < n:
        if i == m:
            g += nums2[j]
            j += 1
        elif j == n:
            f += list_3[i]
            i += 1
        elif list_3[i] < nums2[j]:
            f += list_3[i]
            i += 1
        elif list_3[i] > nums2[j]:
            g += nums2[j]
            j += 1
        else:
            f = g = max(f, g) + list_3[i]
            i += 1
            j += 1
    python_result_3 = max(f, g) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [-95, 17, 54, 29, 4, 99, -56, 38, -23, 94]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_capacityA_static = 50.
Define task_1_capacityB_static = 69.
Trace the execution of task_1 with inputs capacityA = task_1_capacityA_static, capacityB = task_1_capacityB_static.
```python
from typing import List
def task_1(list_1: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_1) - 1)
    while i < j:
        if a < list_1[i]:
            ans += 1
            a = capacityA
        a -= list_1[i]
        if b < list_1[j]:
            ans += 1
            b = capacityB
        b -= list_1[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < 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.

Define task_2_input = {"result": [-11, -44, 9, -48, -37, 9, 19, 54, 59, 48]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> int:
    stk = []
    for (i, v) in enumerate(list_2):
        if not stk or list_2[stk[-1]] > v:
            stk.append(i)
    ans = 0
    for i in range(len(list_2) - 1, -1, -1):
        while stk and list_2[stk[-1]] <= list_2[i]:
            ans = max(ans, i - stk.pop())
        if not stk:
            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.

Define task_3_input = {"result": [42, 30, -42, -77, -97, 50, 43, 63, -14, 23]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [82, -4, -77, -53, -97, 67, -48, 98, -79, -38].
Trace the execution of task_3 with inputs nums2 = task_3_nums2_static.
```python
from typing import List
def task_3(list_3: List[int], nums2: List[int]) -> int:
    mod = 10 ** 9 + 7
    (m, n) = (len(list_3), len(nums2))
    i = j = 0
    f = g = 0
    while i < m or j < n:
        if i == m:
            g += nums2[j]
            j += 1
        elif j == n:
            f += list_3[i]
            i += 1
        elif list_3[i] < nums2[j]:
            f += list_3[i]
            i += 1
        elif list_3[i] > nums2[j]:
            g += nums2[j]
            j += 1
        else:
            f = g = max(f, g) + list_3[i]
            i += 1
            j += 1
    python_result_3 = max(f, g) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [74, -82, -66, 27, 64, 96, -33, -69, 81, -46]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, v) in enumerate(list_1):
        while stk and list_1[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_1[stk[-1]] > list_1[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    mod = 10 ** 9 + 7
    python_result_1 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_1))) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [15, 59, -51, -39, -18, 31, -46, 65, 76, 52]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    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.

Define task_3_input = {"result": [-23, 72, 24, 77, 70, 61, 51, -74, -61, -34]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [61, -48, 26, -68, -42, 69, -89, 14, -55, 6].
Trace the execution of task_3 with inputs nums2 = task_3_nums2_static.
```python
from typing import List
def task_3(list_3: List[int], nums2: List[int]) -> int:
    mod = 10 ** 9 + 7
    (m, n) = (len(list_3), len(nums2))
    i = j = 0
    f = g = 0
    while i < m or j < n:
        if i == m:
            g += nums2[j]
            j += 1
        elif j == n:
            f += list_3[i]
            i += 1
        elif list_3[i] < nums2[j]:
            f += list_3[i]
            i += 1
        elif list_3[i] > nums2[j]:
            g += nums2[j]
            j += 1
        else:
            f = g = max(f, g) + list_3[i]
            i += 1
            j += 1
    python_result_3 = max(f, g) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -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 = [-16, -67, -41, -84, -100, 82, 61, -69, -19, 9].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 17}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [-96, -69, 73, -97, 57, -41, 85, 69, -4, 49].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [56, 92, 73, -83, 90, 15, -91, 81, -100, 16]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [48, 41, -72, 60, -69, -36, 84, 10, -30, 54].
Trace the execution of task_3 with inputs nums2 = task_3_nums2_static.
```python
from typing import List
def task_3(list_3: List[int], nums2: List[int]) -> int:
    mod = 10 ** 9 + 7
    (m, n) = (len(list_3), len(nums2))
    i = j = 0
    f = g = 0
    while i < m or j < n:
        if i == m:
            g += nums2[j]
            j += 1
        elif j == n:
            f += list_3[i]
            i += 1
        elif list_3[i] < nums2[j]:
            f += list_3[i]
            i += 1
        elif list_3[i] > nums2[j]:
            g += nums2[j]
            j += 1
        else:
            f = g = max(f, g) + list_3[i]
            i += 1
            j += 1
    python_result_3 = max(f, g) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [45, -6, 83, -38, 26, -30, 8, 92, -66, 36]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    stk = []
    for x in list_1:
        if x > 0:
            stk.append(x)
        else:
            while stk and stk[-1] > 0 and (stk[-1] < -x):
                stk.pop()
            if stk and stk[-1] == -x:
                stk.pop()
            elif not stk or stk[-1] < 0:
                stk.append(x)
    python_result_1 = stk
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [-22, -41, 24, 27, -47, -23, 1, -6, 62, -47]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> int:
    n = len(list_2)
    left = [0] * n
    right = [0] * n
    s = 0
    for (i, x) in enumerate(list_2):
        s = max(s, 0) + x
        left[i] = s
    s = 0
    for i in range(n - 1, -1, -1):
        s = max(s, 0) + list_2[i]
        right[i] = s
    ans = max(left)
    for i in range(1, n - 1):
        ans = max(ans, left[i - 1] + right[i + 1])
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-86, -91, -26, 75, -11, 68, 12, -47, 98, -60]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [17, -76, 42, -48, 49, 18, 25, -92, -34, -78].
Trace the execution of task_3 with inputs nums2 = task_3_nums2_static.
```python
from typing import List
def task_3(list_3: List[int], nums2: List[int]) -> int:
    mod = 10 ** 9 + 7
    (m, n) = (len(list_3), len(nums2))
    i = j = 0
    f = g = 0
    while i < m or j < n:
        if i == m:
            g += nums2[j]
            j += 1
        elif j == n:
            f += list_3[i]
            i += 1
        elif list_3[i] < nums2[j]:
            f += list_3[i]
            i += 1
        elif list_3[i] > nums2[j]:
            g += nums2[j]
            j += 1
        else:
            f = g = max(f, g) + list_3[i]
            i += 1
            j += 1
    python_result_3 = max(f, g) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -91}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [-25, 50, -59, 26, 36, 96, -7, -96, 77, 33].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [52, -97, 19, -39, 60, -7, -43, 63, 70, -94]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> int:
    stk = []
    ans = 0
    for x in list_2:
        while stk and stk[-1][0] < x:
            stk.pop()
        if not stk or stk[-1][0] > x:
            stk.append([x, 1])
        else:
            stk[-1][1] += 1
        ans += stk[-1][1]
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [46, 36, 90, -51, -10, -67, -95, -1, -93, -12]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [82, 41, 80, -85, -10, 26, 84, -41, -13, 49].
Trace the execution of task_3 with inputs nums2 = task_3_nums2_static.
```python
from typing import List
def task_3(list_3: List[int], nums2: List[int]) -> int:
    mod = 10 ** 9 + 7
    (m, n) = (len(list_3), len(nums2))
    i = j = 0
    f = g = 0
    while i < m or j < n:
        if i == m:
            g += nums2[j]
            j += 1
        elif j == n:
            f += list_3[i]
            i += 1
        elif list_3[i] < nums2[j]:
            f += list_3[i]
            i += 1
        elif list_3[i] > nums2[j]:
            g += nums2[j]
            j += 1
        else:
            f = g = max(f, g) + list_3[i]
            i += 1
            j += 1
    python_result_3 = max(f, g) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -99}.
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 = [-78, 44, -25, 61, -57, 69, 57, 92, -16, 99].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": -13}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [61, -77, -51, 26, -65, 47, 50, 77, -6, -43].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [84, -35, -20, 73, -2, -19, 58, -42, 62, 66]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [49, -37, 32, 68, 12, 98, 59, 82, 36, -89].
Trace the execution of task_3 with inputs nums2 = task_3_nums2_static.
```python
from typing import List
def task_3(list_3: List[int], nums2: List[int]) -> int:
    mod = 10 ** 9 + 7
    (m, n) = (len(list_3), len(nums2))
    i = j = 0
    f = g = 0
    while i < m or j < n:
        if i == m:
            g += nums2[j]
            j += 1
        elif j == n:
            f += list_3[i]
            i += 1
        elif list_3[i] < nums2[j]:
            f += list_3[i]
            i += 1
        elif list_3[i] > nums2[j]:
            g += nums2[j]
            j += 1
        else:
            f = g = max(f, g) + list_3[i]
            i += 1
            j += 1
    python_result_3 = max(f, g) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 78}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_1.
```python
def task_1(val_1: int) -> int:
    s = list(str(val_1))
    i = 1
    while i < len(s) and s[i - 1] <= s[i]:
        i += 1
    if i < len(s):
        while i and s[i - 1] > s[i]:
            s[i - 1] = str(int(s[i - 1]) - 1)
            i -= 1
        i += 1
        while i < len(s):
            s[i] = '9'
            i += 1
    python_result_1 = int(''.join(s))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [72, 89, 72, 67, -40, -94, 82, -9, 36, -55]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    n = len(list_2)
    ans = [0] * n
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and stk[-1] < list_2[i]:
            ans[i] += 1
            stk.pop()
        if stk:
            ans[i] += 1
        stk.append(list_2[i])
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [97, 75, -80, -30, -66, -6, -94, -83, -42, -47]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [56, 26, -5, -85, 3, 99, 86, -74, 49, -87].
Trace the execution of task_3 with inputs nums2 = task_3_nums2_static.
```python
from typing import List
def task_3(list_3: List[int], nums2: List[int]) -> int:
    mod = 10 ** 9 + 7
    (m, n) = (len(list_3), len(nums2))
    i = j = 0
    f = g = 0
    while i < m or j < n:
        if i == m:
            g += nums2[j]
            j += 1
        elif j == n:
            f += list_3[i]
            i += 1
        elif list_3[i] < nums2[j]:
            f += list_3[i]
            i += 1
        elif list_3[i] > nums2[j]:
            g += nums2[j]
            j += 1
        else:
            f = g = max(f, g) + list_3[i]
            i += 1
            j += 1
    python_result_3 = max(f, g) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [93, 54, -57, -77, 89, 4, -97, -20, -15, 15]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_k_static = -76.
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:
    (ans, y) = (1, list_1[0])
    for x in list_1[1:]:
        if x == 0:
            python_result_1 = 1
            return python_result_1
        if x * y <= k:
            y *= x
        else:
            y = x
            ans += 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [96, 56, -87, -14, 74, 35, 78, 49, -82, -74]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    f = True
    while f:
        f = False
        t = list_2[:]
        for i in range(1, len(t) - 1):
            if t[i] > t[i - 1] and t[i] > t[i + 1]:
                list_2[i] -= 1
                f = True
            if t[i] < t[i - 1] and t[i] < t[i + 1]:
                list_2[i] += 1
                f = True
    python_result_2 = list_2
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-46, 45, -71, 41, -59, -32, 67, -38, 93, 42]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [-9, -30, -27, 84, 43, -62, 21, -9, -43, -56].
Trace the execution of task_3 with inputs nums2 = task_3_nums2_static.
```python
from typing import List
def task_3(list_3: List[int], nums2: List[int]) -> int:
    mod = 10 ** 9 + 7
    (m, n) = (len(list_3), len(nums2))
    i = j = 0
    f = g = 0
    while i < m or j < n:
        if i == m:
            g += nums2[j]
            j += 1
        elif j == n:
            f += list_3[i]
            i += 1
        elif list_3[i] < nums2[j]:
            f += list_3[i]
            i += 1
        elif list_3[i] > nums2[j]:
            g += nums2[j]
            j += 1
        else:
            f = g = max(f, g) + list_3[i]
            i += 1
            j += 1
    python_result_3 = max(f, g) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -75}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_arr_static = [-38, 54, 83, 93, -45, 96, 64, -9, -99, -3].
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:
    mx = arr[0]
    cnt = 0
    for x in arr[1:]:
        if mx < x:
            mx = x
            cnt = 1
        else:
            cnt += 1
        if cnt == val_1:
            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.

Define task_2_input = {"result": [81, 48, -11, 85, -9, -64, -65, 98, 16, -84]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Define task_2_queries_static = [39, 20, -51, 83, -81, 5, 6, -9, -80, -78].
Trace the execution of task_2 with inputs queries = task_2_queries_static.
```python
from typing import List
def task_2(list_2: List[int], queries: List[int]) -> List[int]:
    s = set()
    ans = []
    for q in queries[::-1]:
        if q not in s:
            ans.append(q)
            s.add(q)
    for w in list_2:
        if w not in s:
            ans.append(w)
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-51, -31, -84, 92, -22, 29, 56, -60, -36, -75]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [-24, -39, 37, 27, 40, -83, -1, -15, 90, -45].
Trace the execution of task_3 with inputs nums2 = task_3_nums2_static.
```python
from typing import List
def task_3(list_3: List[int], nums2: List[int]) -> int:
    mod = 10 ** 9 + 7
    (m, n) = (len(list_3), len(nums2))
    i = j = 0
    f = g = 0
    while i < m or j < n:
        if i == m:
            g += nums2[j]
            j += 1
        elif j == n:
            f += list_3[i]
            i += 1
        elif list_3[i] < nums2[j]:
            f += list_3[i]
            i += 1
        elif list_3[i] > nums2[j]:
            g += nums2[j]
            j += 1
        else:
            f = g = max(f, g) + list_3[i]
            i += 1
            j += 1
    python_result_3 = max(f, g) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 34}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_y_static = -42.
Define task_1_bound_static = 46.
Trace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.
```python
from typing import List
def task_1(val_1: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_1 == 1:
            break
        a *= val_1
    python_result_1 = list(ans)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": -52}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = 98.
Define task_2_bound_static = 38.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [42, 5, 38, -84, -91, -15, 37, -96, -9, 38]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [-30, 65, 66, 40, -41, 63, -66, -41, 35, 92].
Trace the execution of task_3 with inputs nums2 = task_3_nums2_static.
```python
from typing import List
def task_3(list_3: List[int], nums2: List[int]) -> int:
    mod = 10 ** 9 + 7
    (m, n) = (len(list_3), len(nums2))
    i = j = 0
    f = g = 0
    while i < m or j < n:
        if i == m:
            g += nums2[j]
            j += 1
        elif j == n:
            f += list_3[i]
            i += 1
        elif list_3[i] < nums2[j]:
            f += list_3[i]
            i += 1
        elif list_3[i] > nums2[j]:
            g += nums2[j]
            j += 1
        else:
            f = g = max(f, g) + list_3[i]
            i += 1
            j += 1
    python_result_3 = max(f, g) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 46}.
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 = [50, 30, 98, -43, 5, -56, 14, -21, -66, 48].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [-69, -87, 88, -55, 2, 22, -99, 55, 3, 86]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    stk = []
    n = len(list_2)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_2[stk[-1]] <= list_2[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(i)
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [68, 9, -2, -21, -72, 69, -90, 31, -18, -79]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [61, -68, -69, 79, -49, 41, -24, -30, -40, -1].
Trace the execution of task_3 with inputs nums2 = task_3_nums2_static.
```python
from typing import List
def task_3(list_3: List[int], nums2: List[int]) -> int:
    mod = 10 ** 9 + 7
    (m, n) = (len(list_3), len(nums2))
    i = j = 0
    f = g = 0
    while i < m or j < n:
        if i == m:
            g += nums2[j]
            j += 1
        elif j == n:
            f += list_3[i]
            i += 1
        elif list_3[i] < nums2[j]:
            f += list_3[i]
            i += 1
        elif list_3[i] > nums2[j]:
            g += nums2[j]
            j += 1
        else:
            f = g = max(f, g) + list_3[i]
            i += 1
            j += 1
    python_result_3 = max(f, g) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 69}.
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 = [-97, -13, -18, 53, 81, -39, -66, 97, 57, -76].
Trace the execution of task_1 with inputs arr = task_1_arr_static.
```python
from typing import List
def task_1(arr: List[int], val_1: int) -> int:
    s = mx_pre = mi_pre = mx_sub = 0
    for x in arr:
        s += x
        mx_pre = max(mx_pre, s)
        mi_pre = min(mi_pre, s)
        mx_sub = max(mx_sub, s - mi_pre)
    ans = mx_sub
    mod = 10 ** 9 + 7
    if val_1 == 1:
        python_result_1 = ans % mod
        return python_result_1
    mx_suf = s - mi_pre
    ans = max(ans, mx_pre + mx_suf)
    if s > 0:
        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)
    python_result_1 = ans % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 22}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = 37.
Define task_2_bound_static = 99.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-85, -5, -13, 87, -29, -63, 58, -62, -75, 78]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [41, -84, 0, 42, 67, 4, 3, 34, 12, 44].
Trace the execution of task_3 with inputs nums2 = task_3_nums2_static.
```python
from typing import List
def task_3(list_3: List[int], nums2: List[int]) -> int:
    mod = 10 ** 9 + 7
    (m, n) = (len(list_3), len(nums2))
    i = j = 0
    f = g = 0
    while i < m or j < n:
        if i == m:
            g += nums2[j]
            j += 1
        elif j == n:
            f += list_3[i]
            i += 1
        elif list_3[i] < nums2[j]:
            f += list_3[i]
            i += 1
        elif list_3[i] > nums2[j]:
            g += nums2[j]
            j += 1
        else:
            f = g = max(f, g) + list_3[i]
            i += 1
            j += 1
    python_result_3 = max(f, g) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 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_y_static = -40.
Define task_1_bound_static = 42.
Trace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.
```python
from typing import List
def task_1(val_1: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_1 == 1:
            break
        a *= val_1
    python_result_1 = list(ans)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [-88, 71, -49, 6, -83, -7, -79, 11, -81, -1]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    (i, j) = (0, len(list_2) - 1)
    while i < j:
        if list_2[i] % 2 == 0:
            i += 1
        elif list_2[j] % 2 == 1:
            j -= 1
        else:
            (list_2[i], list_2[j]) = (list_2[j], list_2[i])
            (i, j) = (i + 1, j - 1)
    python_result_2 = list_2
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-80, -53, 13, 52, -92, 86, 16, -22, -98, 64]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [59, -91, -74, -87, -40, -10, 69, 30, 32, -26].
Trace the execution of task_3 with inputs nums2 = task_3_nums2_static.
```python
from typing import List
def task_3(list_3: List[int], nums2: List[int]) -> int:
    mod = 10 ** 9 + 7
    (m, n) = (len(list_3), len(nums2))
    i = j = 0
    f = g = 0
    while i < m or j < n:
        if i == m:
            g += nums2[j]
            j += 1
        elif j == n:
            f += list_3[i]
            i += 1
        elif list_3[i] < nums2[j]:
            f += list_3[i]
            i += 1
        elif list_3[i] > nums2[j]:
            g += nums2[j]
            j += 1
        else:
            f = g = max(f, g) + list_3[i]
            i += 1
            j += 1
    python_result_3 = max(f, g) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -66}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [-22, 31, 5, -46, 83, -21, -3, -5, 3, 91].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [80, -41, 82, 87, -27, -14, -31, -74, -54, -39]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Define task_2_k_static = 69.
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 = list_2[0]
    cnt = 0
    for x in list_2[1:]:
        if mx < x:
            mx = x
            cnt = 1
        else:
            cnt += 1
        if cnt == k:
            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.

Define task_3_input = {"result": [22, -78, -92, -17, 57, -54, 28, 57, 39, -91]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [-56, -21, -96, 69, -88, -55, -39, -49, -100, -34].
Trace the execution of task_3 with inputs nums2 = task_3_nums2_static.
```python
from typing import List
def task_3(list_3: List[int], nums2: List[int]) -> int:
    mod = 10 ** 9 + 7
    (m, n) = (len(list_3), len(nums2))
    i = j = 0
    f = g = 0
    while i < m or j < n:
        if i == m:
            g += nums2[j]
            j += 1
        elif j == n:
            f += list_3[i]
            i += 1
        elif list_3[i] < nums2[j]:
            f += list_3[i]
            i += 1
        elif list_3[i] > nums2[j]:
            g += nums2[j]
            j += 1
        else:
            f = g = max(f, g) + list_3[i]
            i += 1
            j += 1
    python_result_3 = max(f, g) % mod
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.