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

Define task_1_input = {"result": -3}.
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_buses_static = [-67, -83, -94, 73, 75, -75, 83, 54, 34, 34].
Define task_1_passengers_static = [-87, -93, 58, -49, 23, 9, -86, -15, 64, -32].
Trace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.
```python
from typing import List
def task_1(buses: List[int], passengers: List[int], val_1: int) -> int:
    buses.sort()
    passengers.sort()
    j = 0
    for t in buses:
        c = val_1
        while c and j < len(passengers) and (passengers[j] <= t):
            (c, j) = (c - 1, j + 1)
    j -= 1
    ans = buses[-1] if c else passengers[j]
    while ~j and passengers[j] == ans:
        (ans, j) = (ans - 1, j - 1)
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_customers_static = [-1, -72, 99, 9, -58, -81, 24, 39, 31, 96].
Define task_2_runningCost_static = 0.
Trace the execution of task_2 with inputs customers = task_2_customers_static, runningCost = task_2_runningCost_static.
```python
from typing import List
def task_2(customers: List[int], val_2: int, runningCost: int) -> int:
    ans = -1
    mx = t = 0
    wait = 0
    i = 0
    while wait or i < len(customers):
        wait += customers[i] if i < len(customers) else 0
        up = wait if wait < 4 else 4
        wait -= up
        t += up * val_2 - runningCost
        i += 1
        if t > mx:
            mx = t
            ans = i
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_3_plants_static = [51, -41, 100, -76, -13, 44, -28, 53, 45, -69].
Define task_3_capacityB_static = -33.
Trace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(plants: List[int], val_3: int, capacityB: int) -> int:
    (a, b) = (val_3, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_3
        a -= plants[i]
        if b < plants[j]:
            ans += 1
            b = capacityB
        b -= plants[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < plants[i]
    python_result_3 = ans
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -63}.
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 = -59.
Define task_1_bound_static = 11.
Trace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.
```python
from typing import List
def task_1(val_1: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_1 == 1:
            break
        a *= val_1
    python_result_1 = list(ans)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_3_plants_static = [14, -79, 15, -84, 43, -82, -49, 7, 72, 5].
Define task_3_capacityB_static = 7.
Trace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(plants: List[int], val_3: int, capacityB: int) -> int:
    (a, b) = (val_3, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_3
        a -= plants[i]
        if b < plants[j]:
            ans += 1
            b = capacityB
        b -= plants[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < plants[i]
    python_result_3 = ans
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [20, -24, -1, -82, 24, -41, -87, 33, -43, 86]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    ans = []
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        a = list_1[i] * list_1[i]
        b = list_1[j] * list_1[j]
        if a > b:
            ans.append(a)
            i += 1
        else:
            ans.append(b)
            j -= 1
    python_result_1 = ans[::-1]
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_3_plants_static = [94, -84, 99, 30, -80, -54, 41, 14, -82, 0].
Define task_3_capacityB_static = 76.
Trace the execution of task_3 with inputs plants = task_3_plants_static, capacityB = task_3_capacityB_static.
```python
from typing import List
def task_3(plants: List[int], val_3: int, capacityB: int) -> int:
    (a, b) = (val_3, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_3
        a -= plants[i]
        if b < plants[j]:
            ans += 1
            b = capacityB
        b -= plants[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < plants[i]
    python_result_3 = ans
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -44}.
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:
    ans = 0
    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)
    while val_1:
        if ans < mi // 10 + 1 or ans > mx // 10:
            python_result_1 = 0
            return python_result_1
        y = val_1 % 10
        if val_1 < 0 and y > 0:
            y -= 10
        ans = ans * 10 + y
        val_1 = (val_1 - y) // 10
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [-76, 50, 49, -88, 58, 26, -26, 78, -69, 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.

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


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

Define task_1_input = {"result": [-38, -17, 76, 77, -11, 82, -42, 94, 45, 92]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    n = len(list_1)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] <= x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_1[stk[-1]] <= list_1[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_1 = [r - l - 1 for (l, r) in zip(left, right)]
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Define task_2_arr2_static = [-42, 30, -8, 36, 42, 40, 28, -29, -8, 72].
Trace the execution of task_2 with inputs arr2 = task_2_arr2_static.
```python
from typing import List
def task_2(list_2: List[int], arr2: List[int]) -> List[int]:
    (i, j) = (len(list_2) - 1, len(arr2) - 1)
    c = 0
    ans = []
    while i >= 0 or j >= 0 or c:
        a = 0 if i < 0 else list_2[i]
        b = 0 if j < 0 else arr2[j]
        x = a + b + c
        c = 0
        if x >= 2:
            x -= 2
            c -= 1
        elif x == -1:
            x = 1
            c += 1
        ans.append(x)
        (i, j) = (i - 1, j - 1)
    while len(ans) > 1 and ans[-1] == 0:
        ans.pop()
    python_result_2 = ans[::-1]
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": [-97, -55, 4, -64, 71, -59, -44, 61, 79, 19]}.
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_queries_static = [-61, -100, -71, 87, -28, 50, 38, -20, -62, 43].
Trace the execution of task_1 with inputs queries = task_1_queries_static.
```python
from typing import List
def task_1(list_1: List[int], queries: List[int]) -> int:
    n = len(list_1)
    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_1[i - 1] >= queries[f[i - 1][j]]))
            if j + 1 < n:
                f[i][j] = max(f[i][j], f[i][j + 1] + (list_1[j + 1] >= queries[f[i][j + 1]]))
            if f[i][j] == m:
                python_result_1 = m
                return python_result_1
    python_result_1 = max((f[i][i] + (list_1[i] >= queries[f[i][i]]) for i in range(n)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [35, -16, -73, -75, -74, -69, -53, -25, -56, -74].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": [-55, 10, -61, -85, -92, -36, -47, -46, -88, 64]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_passengers_static = [62, -15, -95, 25, 48, 80, -21, -37, 1, 87].
Define task_1_capacity_static = -9.
Trace the execution of task_1 with inputs passengers = task_1_passengers_static, capacity = task_1_capacity_static.
```python
from typing import List
def task_1(list_1: List[int], passengers: List[int], capacity: int) -> int:
    list_1.sort()
    passengers.sort()
    j = 0
    for t in list_1:
        c = capacity
        while c and j < len(passengers) and (passengers[j] <= t):
            (c, j) = (c - 1, j + 1)
    j -= 1
    ans = list_1[-1] if c else passengers[j]
    while ~j and passengers[j] == ans:
        (ans, j) = (ans - 1, j - 1)
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [3, 57, -63, -38, -50, 63, 42, 32, -12, -25].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": 26}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [57, 11, 90, -36, 53, 0, 4, 61, -5, 36].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

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


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

Define task_1_input = {"result": [7, -61, 17, 49, 86, 3, -94, 42, -64, 53]}.
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_queries_static = [-52, 7, 22, -17, 95, -98, -63, 96, 49, -45].
Trace the execution of task_1 with inputs queries = task_1_queries_static.
```python
from typing import List
def task_1(list_1: List[int], queries: List[int]) -> int:
    n = len(list_1)
    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_1[i - 1] >= queries[f[i - 1][j]]))
            if j + 1 < n:
                f[i][j] = max(f[i][j], f[i][j + 1] + (list_1[j + 1] >= queries[f[i][j + 1]]))
            if f[i][j] == m:
                python_result_1 = m
                return python_result_1
    python_result_1 = max((f[i][i] + (list_1[i] >= queries[f[i][i]]) for i in range(n)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -29.
Define task_2_bound_static = 36.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": -35}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_y_static = -53.
Define task_1_bound_static = 12.
Trace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.
```python
from typing import List
def task_1(val_1: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_1 == 1:
            break
        a *= val_1
    python_result_1 = list(ans)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

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


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

Define task_1_input = {"result": [98, -70, -15, -93, 20, 45, -86, 18, 82, -32]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_nums2_static = [5, -18, -77, -76, -19, -14, -19, 54, -31, 52].
Trace the execution of task_1 with inputs nums2 = task_1_nums2_static.
```python
from typing import List
def task_1(list_1: List[int], nums2: List[int]) -> int:
    mod = 10 ** 9 + 7
    (m, n) = (len(list_1), 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_1[i]
            i += 1
        elif list_1[i] < nums2[j]:
            f += list_1[i]
            i += 1
        elif list_1[i] > nums2[j]:
            g += nums2[j]
            j += 1
        else:
            f = g = max(f, g) + list_1[i]
            i += 1
            j += 1
    python_result_1 = max(f, g) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -43.
Define task_2_bound_static = 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.

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


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

Define task_1_input = {"result": [23, -92, -33, 39, -99, -31, -24, 4, 56, 73]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_nums2_static = [88, -94, -34, 48, -14, -16, 82, -56, 29, 91].
Trace the execution of task_1 with inputs nums2 = task_1_nums2_static.
```python
from typing import List
def task_1(list_1: List[int], nums2: List[int]) -> int:
    nums = [a - b for (a, b) in zip(list_1, nums2)]
    nums.sort()
    (l, r) = (0, len(nums) - 1)
    ans = 0
    while l < r:
        while l < r and nums[l] + nums[r] <= 0:
            l += 1
        ans += r - l
        r -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [-59, -43, 72, -19, -1, -14, -16, -58, -8, -50].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": [4, -68, 17, -49, 34, 84, 79, -54, -49, 16]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    (i, j) = (0, len(list_1) - 1)
    while i < j:
        if list_1[i] % 2 == 0:
            i += 1
        elif list_1[j] % 2 == 1:
            j -= 1
        else:
            (list_1[i], list_1[j]) = (list_1[j], list_1[i])
            (i, j) = (i + 1, j - 1)
    python_result_1 = list_1
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

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


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

Define task_1_input = {"result": -7}.
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 = [97, 0, -24, -4, -44, -69, -80, 71, -76, 38].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

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


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

Define task_1_input = {"result": -52}.
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 = [-54, 42, -99, 9, -66, 84, 70, -53, -54, 51].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

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


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

Define task_1_input = {"result": [-58, -87, -5, -42, -42, 55, -60, 77, 90, -48]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    n = len(list_1)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(list_1[i])
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

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


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

Define task_1_input = {"result": -35}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_arr_static = [39, -95, -30, -12, -67, 62, -85, 33, -91, 39].
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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [54, 23, -20, 70, -54, 73, -88, -21, 88, 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.

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


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

Define task_1_input = {"result": -50}.
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:
    ans = 0
    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)
    while val_1:
        if ans < mi // 10 + 1 or ans > mx // 10:
            python_result_1 = 0
            return python_result_1
        y = val_1 % 10
        if val_1 < 0 and y > 0:
            y -= 10
        ans = ans * 10 + y
        val_1 = (val_1 - y) // 10
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -35.
Define task_2_bound_static = 51.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": 68}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [-40, 80, 82, 29, -9, 72, -56, 53, -82, 41].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

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


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

Define task_1_input = {"result": [12, 5, 24, -22, -15, -6, -46, -29, 52, 88]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    n = len(list_1)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(list_1[i])
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [-80, 47, -5, 72, -51, 60, -66, 59, 95, -32].
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:
    nums = [a - b for (a, b) in zip(list_3, nums2)]
    nums.sort()
    (l, r) = (0, len(nums) - 1)
    ans = 0
    while l < r:
        while l < r and nums[l] + nums[r] <= 0:
            l += 1
        ans += r - l
        r -= 1
    python_result_3 = ans
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -31}.
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_buses_static = [57, -96, 18, -24, 53, 87, -81, 58, -71, 28].
Define task_1_passengers_static = [-39, 95, -6, -1, 95, 41, -98, -27, 78, 79].
Trace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.
```python
from typing import List
def task_1(buses: List[int], passengers: List[int], val_1: int) -> int:
    buses.sort()
    passengers.sort()
    j = 0
    for t in buses:
        c = val_1
        while c and j < len(passengers) and (passengers[j] <= t):
            (c, j) = (c - 1, j + 1)
    j -= 1
    ans = buses[-1] if c else passengers[j]
    while ~j and passengers[j] == ans:
        (ans, j) = (ans - 1, j - 1)
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [95, 38, -45, -58, -91, -84, -50, -31, -97, -34].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [9, 67, -37, -59, -88, 17, -8, 62, -69, 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:
    nums = [a - b for (a, b) in zip(list_3, nums2)]
    nums.sort()
    (l, r) = (0, len(nums) - 1)
    ans = 0
    while l < r:
        while l < r and nums[l] + nums[r] <= 0:
            l += 1
        ans += r - l
        r -= 1
    python_result_3 = ans
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 56}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [-5, -8, 97, -42, -42, -18, -19, 60, 37, 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.

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

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [-13, 52, 20, 34, -98, -92, -31, 74, 60, -57].
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:
    nums = [a - b for (a, b) in zip(list_3, nums2)]
    nums.sort()
    (l, r) = (0, len(nums) - 1)
    ans = 0
    while l < r:
        while l < r and nums[l] + nums[r] <= 0:
            l += 1
        ans += r - l
        r -= 1
    python_result_3 = ans
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 65}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [2, 51, -57, -15, 63, 95, 85, -54, 63, 47].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> int:
    nums.sort()
    (ans, n) = (0, len(nums))
    for i in range(n - 2):
        (j, k) = (i + 1, n - 1)
        while j < k:
            x = nums[i] + nums[j] + nums[k]
            if x < val_1:
                ans += k - j
                j += 1
            else:
                k -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [-4, 35, -74, 86, -20, -5, 19, 57, 76, -97].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [16, 89, 55, -84, 7, 15, 87, 36, -51, -19].
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:
    nums = [a - b for (a, b) in zip(list_3, nums2)]
    nums.sort()
    (l, r) = (0, len(nums) - 1)
    ans = 0
    while l < r:
        while l < r and nums[l] + nums[r] <= 0:
            l += 1
        ans += r - l
        r -= 1
    python_result_3 = ans
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [-44, 10, -50, -37, 68, -25, 85, -63, -36, 7]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    (i, j) = (0, len(list_1) - 1)
    while i < j:
        if list_1[i] % 2 == 0:
            i += 1
        elif list_1[j] % 2 == 1:
            j -= 1
        else:
            (list_1[i], list_1[j]) = (list_1[j], list_1[i])
            (i, j) = (i + 1, j - 1)
    python_result_1 = list_1
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [23, 72, 2, 52, 16, 81, 79, -60, -5, 41].
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:
    nums = [a - b for (a, b) in zip(list_3, nums2)]
    nums.sort()
    (l, r) = (0, len(nums) - 1)
    ans = 0
    while l < r:
        while l < r and nums[l] + nums[r] <= 0:
            l += 1
        ans += r - l
        r -= 1
    python_result_3 = ans
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [-11, -9, -61, 33, 85, -55, -45, -60, -64, -14]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_arr2_static = [-51, 86, -74, -51, -74, 38, 97, 19, 42, 30].
Trace the execution of task_1 with inputs arr2 = task_1_arr2_static.
```python
from typing import List
def task_1(list_1: List[int], arr2: List[int]) -> List[int]:
    (i, j) = (len(list_1) - 1, len(arr2) - 1)
    c = 0
    ans = []
    while i >= 0 or j >= 0 or c:
        a = 0 if i < 0 else list_1[i]
        b = 0 if j < 0 else arr2[j]
        x = a + b + c
        c = 0
        if x >= 2:
            x -= 2
            c -= 1
        elif x == -1:
            x = 1
            c += 1
        ans.append(x)
        (i, j) = (i - 1, j - 1)
    while len(ans) > 1 and ans[-1] == 0:
        ans.pop()
    python_result_1 = ans[::-1]
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [10, 21, 89, 94, 65, -73, -46, -58, 77, -57].
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:
    nums = [a - b for (a, b) in zip(list_3, nums2)]
    nums.sort()
    (l, r) = (0, len(nums) - 1)
    ans = 0
    while l < r:
        while l < r and nums[l] + nums[r] <= 0:
            l += 1
        ans += r - l
        r -= 1
    python_result_3 = ans
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [-1, 2, 17, 60, -49, 100, 13, -74, -80, 47]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = s = 0
    pos = {}
    for (i, x) in enumerate(list_1):
        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_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [-84, -90, -67, 9, 69, 51, -11, -99, 80, 39].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [68, 34, -39, 27, -34, -11, -3, -15, -84, 37].
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:
    nums = [a - b for (a, b) in zip(list_3, nums2)]
    nums.sort()
    (l, r) = (0, len(nums) - 1)
    ans = 0
    while l < r:
        while l < r and nums[l] + nums[r] <= 0:
            l += 1
        ans += r - l
        r -= 1
    python_result_3 = ans
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [-50, -2, -38, 1, -54, 21, 73, -5, 64, -72]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    stk = []
    for x in list_1:
        if x > 0:
            stk.append(x)
        else:
            while stk and stk[-1] > 0 and (stk[-1] < -x):
                stk.pop()
            if stk and stk[-1] == -x:
                stk.pop()
            elif not stk or stk[-1] < 0:
                stk.append(x)
    python_result_1 = stk
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [71, -54, -50, -4, 87, -75, -76, 47, 21, 51].
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:
    nums = [a - b for (a, b) in zip(list_3, nums2)]
    nums.sort()
    (l, r) = (0, len(nums) - 1)
    ans = 0
    while l < r:
        while l < r and nums[l] + nums[r] <= 0:
            l += 1
        ans += r - l
        r -= 1
    python_result_3 = ans
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [65, 60, -4, -25, 41, -8, -52, -37, 98, -1]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    n = len(list_1)
    ans = [0] * n
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and stk[-1] < list_1[i]:
            ans[i] += 1
            stk.pop()
        if stk:
            ans[i] += 1
        stk.append(list_1[i])
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [-21, 90, 80, -33, -16, 33, -85, 8, -42, -22].
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:
    nums = [a - b for (a, b) in zip(list_3, nums2)]
    nums.sort()
    (l, r) = (0, len(nums) - 1)
    ans = 0
    while l < r:
        while l < r and nums[l] + nums[r] <= 0:
            l += 1
        ans += r - l
        r -= 1
    python_result_3 = ans
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [43, 35, 12, -27, -86, 49, -25, -93, -25, 74]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_arr2_static = [-98, -61, 47, -87, 51, 90, -54, -1, 86, -58].
Trace the execution of task_1 with inputs arr2 = task_1_arr2_static.
```python
from typing import List
def task_1(list_1: List[int], arr2: List[int]) -> List[int]:
    (i, j) = (len(list_1) - 1, len(arr2) - 1)
    c = 0
    ans = []
    while i >= 0 or j >= 0 or c:
        a = 0 if i < 0 else list_1[i]
        b = 0 if j < 0 else arr2[j]
        x = a + b + c
        c = 0
        if x >= 2:
            x -= 2
            c -= 1
        elif x == -1:
            x = 1
            c += 1
        ans.append(x)
        (i, j) = (i - 1, j - 1)
    while len(ans) > 1 and ans[-1] == 0:
        ans.pop()
    python_result_1 = ans[::-1]
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [81, -21, 41, 0, -91, 0, -73, 33, -7, -4].
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:
    nums = [a - b for (a, b) in zip(list_3, nums2)]
    nums.sort()
    (l, r) = (0, len(nums) - 1)
    ans = 0
    while l < r:
        while l < r and nums[l] + nums[r] <= 0:
            l += 1
        ans += r - l
        r -= 1
    python_result_3 = ans
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 71}.
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 = [1, 64, -56, -82, -56, 53, -92, 33, 66, 93].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [-28, -84, 94, -6, -11, -60, -1, -44, 76, -50].
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:
    nums = [a - b for (a, b) in zip(list_3, nums2)]
    nums.sort()
    (l, r) = (0, len(nums) - 1)
    ans = 0
    while l < r:
        while l < r and nums[l] + nums[r] <= 0:
            l += 1
        ans += r - l
        r -= 1
    python_result_3 = ans
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.