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

Define task_1_input = {"result": [58, -84, -85, -59, 72, -11, 57, 33, -43, 68]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] < x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    t = 1
    for (i, x) in enumerate(list_1[1:]):
        if list_1[i] > x:
            t += 1
            ans = max(ans, t)
        else:
            t = 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": -5}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -29.
Define task_2_bound_static = 2.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [90, -59, 90, -7, -22, 61, 10, 54, -32, 55]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    g = []
    for x in list_3:
        (l, r) = (0, len(g))
        while l < r:
            mid = l + r >> 1
            if g[mid] < x:
                r = mid
            else:
                l = mid + 1
        if l == len(g):
            g.append(x)
        else:
            g[l] = x
    python_result_3 = len(g)
    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_buses_static = [27, -65, 5, -80, -89, 8, 85, -16, -81, 43].
Define task_1_passengers_static = [-65, 13, 98, -96, 66, -89, 86, 88, -20, -58].
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.

Define task_2_input = {"result": [5, -57, 100, -20, -97, 94, 32, 8, -3, 30]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    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.

Define task_3_input = {"result": [-86, -6, 29, 17, 29, 90, -47, 79, -11, 44]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    g = []
    for x in list_3:
        (l, r) = (0, len(g))
        while l < r:
            mid = l + r >> 1
            if g[mid] < x:
                r = mid
            else:
                l = mid + 1
        if l == len(g):
            g.append(x)
        else:
            g[l] = x
    python_result_3 = len(g)
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [-49, 33, 64, -60, 74, 11, 1, 42, 27, 12]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_capacityA_static = -67.
Define task_1_capacityB_static = 18.
Trace the execution of task_1 with inputs capacityA = task_1_capacityA_static, capacityB = task_1_capacityB_static.
```python
from typing import List
def task_1(list_1: List[int], capacityA: int, capacityB: int) -> int:
    (a, b) = (capacityA, capacityB)
    ans = 0
    (i, j) = (0, len(list_1) - 1)
    while i < j:
        if a < list_1[i]:
            ans += 1
            a = capacityA
        a -= list_1[i]
        if b < list_1[j]:
            ans += 1
            b = capacityB
        b -= list_1[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < list_1[i]
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 31}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [100, 55, 47, 79, 30, -22, 24, 31, 5, -36].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-53, -78, 23, -15, -43, 4, 36, -89, -33, -82]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    g = []
    for x in list_3:
        (l, r) = (0, len(g))
        while l < r:
            mid = l + r >> 1
            if g[mid] < x:
                r = mid
            else:
                l = mid + 1
        if l == len(g):
            g.append(x)
        else:
            g[l] = x
    python_result_3 = len(g)
    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": 0}.
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 = [-9, 13, -34, -72, -34, 78, -82, 23, 68, 33].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [-46, 48, -99, -78, 70, -28, -43, 43, 24, 46]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> int:
    (i, n) = (0, len(list_2))
    while i + 1 < n and list_2[i] < list_2[i + 1]:
        i += 1
    if i == n - 1:
        python_result_2 = n * (n + 1) // 2
        return python_result_2
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_2[i] >= list_2[j]:
            i -= 1
        ans += i + 2
        if list_2[j - 1] >= list_2[j]:
            break
        j -= 1
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [33, 29, 68, 54, 67, 92, -9, -96, -26, 3]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    g = []
    for x in list_3:
        (l, r) = (0, len(g))
        while l < r:
            mid = l + r >> 1
            if g[mid] < x:
                r = mid
            else:
                l = mid + 1
        if l == len(g):
            g.append(x)
        else:
            g[l] = x
    python_result_3 = len(g)
    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": 100}.
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 = [69, 16, -78, -20, 59, 5, -81, 33, -24, 71].
Trace the execution of task_1 with inputs arr = task_1_arr_static.
```python
from typing import List
def task_1(arr: List[int], val_1: int) -> int:
    s = mx_pre = mi_pre = mx_sub = 0
    for x in arr:
        s += x
        mx_pre = max(mx_pre, s)
        mi_pre = min(mi_pre, s)
        mx_sub = max(mx_sub, s - mi_pre)
    ans = mx_sub
    mod = 10 ** 9 + 7
    if val_1 == 1:
        python_result_1 = ans % mod
        return python_result_1
    mx_suf = s - mi_pre
    ans = max(ans, mx_pre + mx_suf)
    if s > 0:
        ans = max(ans, (val_1 - 2) * s + mx_pre + mx_suf)
    python_result_1 = ans % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [76, 30, 28, 85, -58, 41, 100, -48, 6, -14]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    n = len(list_2)
    suf = [0] * (n + 1)
    s = set()
    for i in range(n - 1, -1, -1):
        s.add(list_2[i])
        suf[i] = len(s)
    s.clear()
    ans = [0] * n
    for (i, x) in enumerate(list_2):
        s.add(x)
        ans[i] = len(s) - suf[i + 1]
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-13, -56, 86, -35, -10, 95, 65, 69, 61, 77]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    g = []
    for x in list_3:
        (l, r) = (0, len(g))
        while l < r:
            mid = l + r >> 1
            if g[mid] < x:
                r = mid
            else:
                l = mid + 1
        if l == len(g):
            g.append(x)
        else:
            g[l] = x
    python_result_3 = len(g)
    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": -33}.
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 = 99.
Define task_1_bound_static = 34.
Trace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.
```python
from typing import List
def task_1(val_1: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_1 == 1:
            break
        a *= val_1
    python_result_1 = list(ans)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 18}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [79, -37, 88, -96, 11, 77, -20, 81, 80, -2].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-97, 46, -58, -73, -35, -81, 85, 17, 42, -74]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    g = []
    for x in list_3:
        (l, r) = (0, len(g))
        while l < r:
            mid = l + r >> 1
            if g[mid] < x:
                r = mid
            else:
                l = mid + 1
        if l == len(g):
            g.append(x)
        else:
            g[l] = x
    python_result_3 = len(g)
    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": [87, -13, 70, -96, -29, 39, 30, -85, -2, 25]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> 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.

Define task_2_input = {"result": 62}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -34.
Define task_2_bound_static = 28.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [20, -22, 22, -100, -100, 19, -33, 29, 72, 57]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    g = []
    for x in list_3:
        (l, r) = (0, len(g))
        while l < r:
            mid = l + r >> 1
            if g[mid] < x:
                r = mid
            else:
                l = mid + 1
        if l == len(g):
            g.append(x)
        else:
            g[l] = x
    python_result_3 = len(g)
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 27}.
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 = [44, -57, -85, 70, 4, -67, 58, 94, -67, -74].
Trace the execution of task_1 with inputs arr = task_1_arr_static.
```python
from typing import List
def task_1(arr: List[int], val_1: int) -> int:
    if arr[0] > val_1:
        python_result_1 = val_1
        return python_result_1
    (left, right) = (0, len(arr))
    while left < right:
        mid = left + right >> 1
        if arr[mid] - mid - 1 >= val_1:
            right = mid
        else:
            left = mid + 1
    python_result_1 = arr[left - 1] + val_1 - (arr[left - 1] - (left - 1) - 1)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 74}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = 55.
Define task_2_bound_static = 61.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-93, -62, -96, 71, -30, 47, -86, -84, 87, -47]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    g = []
    for x in list_3:
        (l, r) = (0, len(g))
        while l < r:
            mid = l + r >> 1
            if g[mid] < x:
                r = mid
            else:
                l = mid + 1
        if l == len(g):
            g.append(x)
        else:
            g[l] = x
    python_result_3 = len(g)
    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}.
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 = [27, -89, 69, -82, -60, 29, -3, 31, -3, 20].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 90}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -8.
Define task_2_bound_static = 78.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [66, 51, 54, -14, -83, 41, -91, -33, 13, -6]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    g = []
    for x in list_3:
        (l, r) = (0, len(g))
        while l < r:
            mid = l + r >> 1
            if g[mid] < x:
                r = mid
            else:
                l = mid + 1
        if l == len(g):
            g.append(x)
        else:
            g[l] = x
    python_result_3 = len(g)
    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, 41, -78, 59, -94, 22, -18, -31, 44, -98]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    n = len(list_1)
    leftSum = [0] * n
    for i in range(1, n):
        leftSum[i] = leftSum[i - 1] + list_1[i - 1]
    total = sum(list_1)
    answer = []
    for i in range(n):
        rightSum_i = total - list_1[i] - leftSum[i]
        answer.append(abs(leftSum[i] - rightSum_i))
    python_result_1 = answer
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [8, -52, -51, -20, -79, 72, -8, 82, 22, 63]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    (i, j) = (0, len(list_2) - 1)
    while i < j:
        if list_2[i] % 2 == 0:
            i += 1
        elif list_2[j] % 2 == 1:
            j -= 1
        else:
            (list_2[i], list_2[j]) = (list_2[j], list_2[i])
            (i, j) = (i + 1, j - 1)
    python_result_2 = list_2
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [76, 41, 83, -33, 91, -19, -85, 50, -40, -79]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    stk = []
    n = len(list_3)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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": -1}.
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 = [14, -15, 98, -9, -10, 34, -35, -2, 60, -49].
Define task_1_passengers_static = [57, 40, 63, 18, 27, 55, 80, 41, 26, -77].
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.

Define task_2_input = {"result": [-81, 27, -37, -29, 30, 89, 49, 12, 33, 57]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Define task_2_queries_static = [96, 36, 37, -73, -99, 39, 19, 82, -98, -97].
Trace the execution of task_2 with inputs queries = task_2_queries_static.
```python
from typing import List
def task_2(list_2: List[int], queries: List[int]) -> List[int]:
    s = set()
    ans = []
    for q in queries[::-1]:
        if q not in s:
            ans.append(q)
            s.add(q)
    for w in list_2:
        if w not in s:
            ans.append(w)
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [49, 8, 98, -76, -35, 93, 90, 58, 100, 45]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    stk = []
    n = len(list_3)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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": [71, 57, -7, 35, -45, 89, -39, -1, -8, 80]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": -78}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_plants_static = [100, 55, -21, 26, -95, 14, 1, 39, -60, -45].
Define task_2_capacityB_static = 47.
Trace the execution of task_2 with inputs plants = task_2_plants_static, capacityB = task_2_capacityB_static.
```python
from typing import List
def task_2(plants: List[int], val_2: int, capacityB: int) -> int:
    (a, b) = (val_2, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_2
        a -= plants[i]
        if b < plants[j]:
            ans += 1
            b = capacityB
        b -= plants[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < plants[i]
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [98, -79, -92, 53, -38, -40, 43, 14, 14, 99]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    stk = []
    n = len(list_3)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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": -81}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [-81, 69, 6, -48, 37, 77, -8, 66, 25, 34].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 69}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = 13.
Define task_2_bound_static = 86.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-99, -31, -10, -70, -84, 20, 93, 91, -95, 97]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    stk = []
    n = len(list_3)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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": -18}.
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 = [-79, 95, 67, 94, 12, 53, 6, 32, 79, 28].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": -75}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [21, 50, 9, -3, -26, 85, -13, -5, 51, -86].
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) -> 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_2:
                ans += k - j
                j += 1
            else:
                k -= 1
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [94, 71, 32, -12, -36, 12, -26, 25, 89, -63]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    stk = []
    n = len(list_3)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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": [99, 80, -92, -63, -33, -48, 92, -88, -48, -91]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_k_static = -100.
Trace the execution of task_1 with inputs k = task_1_k_static.
```python
from typing import List
def task_1(list_1: List[int], k: int) -> int:
    mx = list_1[0]
    cnt = 0
    for x in list_1[1:]:
        if mx < x:
            mx = x
            cnt = 1
        else:
            cnt += 1
        if cnt == k:
            break
    python_result_1 = mx
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [-39, 13, 36, 37, 45, -14, -89, -35, 85, 40]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> int:
    stk = []
    for (i, x) in enumerate(list_2):
        while stk and list_2[stk[-1]] <= x:
            stk.pop()
        stk.append(i)
    ans = i = 0
    for j in stk:
        ans += list_2[j] * (j - i)
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-65, -76, 97, -100, 89, -80, 54, -85, -61, 74]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    stk = []
    n = len(list_3)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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": [-49, -52, 94, -80, 91, -68, -89, 1, 65, -20]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    (i, j) = (0, len(list_1) - 1)
    (a, b) = (list_1[i], list_1[j])
    ans = 0
    while i < j:
        if a < b:
            i += 1
            a += list_1[i]
            ans += 1
        elif b < a:
            j -= 1
            b += list_1[j]
            ans += 1
        else:
            (i, j) = (i + 1, j - 1)
            (a, b) = (list_1[i], list_1[j])
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 14}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_2.
```python
def task_2(val_2: int) -> int:
    ans = 0
    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)
    while val_2:
        if ans < mi // 10 + 1 or ans > mx // 10:
            python_result_2 = 0
            return python_result_2
        y = val_2 % 10
        if val_2 < 0 and y > 0:
            y -= 10
        ans = ans * 10 + y
        val_2 = (val_2 - y) // 10
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [1, 68, 99, 83, 50, -52, -52, 76, 39, -77]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    stk = []
    n = len(list_3)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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": [69, -19, -41, -59, 77, -2, -46, 23, -21, -61]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    nums = [v - i for (i, v) in enumerate(list_1)]
    n = len(nums)
    left = [-1] * n
    stk = []
    for (i, v) in enumerate(nums):
        while stk and nums[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    ans = 0
    dp = [0] * n
    dp[0] = list_1[0]
    for (i, v) in enumerate(list_1):
        j = left[i]
        cnt = min(v, i - j)
        u = v - cnt + 1
        s = (u + v) * cnt // 2
        dp[i] = s + (0 if j == -1 else dp[j])
        ans = max(ans, dp[i])
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [-71, 95, 26, 87, 19, 30, -33, 4, -56, -72]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    n = len(list_2)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_2):
        while stk and list_2[stk[-1]] <= x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_2[stk[-1]] <= list_2[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [25, -36, 83, -26, -79, -82, -80, -57, 64, 46]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    stk = []
    n = len(list_3)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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": [42, 83, -68, -26, -52, 29, -93, -33, -12, -13]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, v) in enumerate(list_1):
        while stk and list_1[stk[-1]] >= v:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_1[stk[-1]] > list_1[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    mod = 10 ** 9 + 7
    python_result_1 = sum(((i - left[i]) * (right[i] - i) * v for (i, v) in enumerate(list_1))) % mod
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [57, 89, -35, -62, 62, 20, 30, -97, 17, 81]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    n = len(list_2)
    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.

Define task_3_input = {"result": [35, -47, 40, 36, 71, 94, 54, -14, -70, 69]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    stk = []
    n = len(list_3)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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": [34, 92, -6, 96, -58, 46, -71, 80, 12, 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.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [73, -49, -32, 11, -6, 20, 22, 32, -76, 9]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Define task_2_k_static = 77.
Trace the execution of task_2 with inputs k = task_2_k_static.
```python
from typing import List
def task_2(list_2: List[int], k: int) -> int:
    if list_2[0] > k:
        python_result_2 = k
        return python_result_2
    (left, right) = (0, len(list_2))
    while left < right:
        mid = left + right >> 1
        if list_2[mid] - mid - 1 >= k:
            right = mid
        else:
            left = mid + 1
    python_result_2 = list_2[left - 1] + k - (list_2[left - 1] - (left - 1) - 1)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [45, 59, 18, 47, 26, -65, 57, 24, -83, 93]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    stk = []
    n = len(list_3)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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": -13}.
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 = [75, 88, 63, -46, 25, 42, -78, 21, -7, -53].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [82, -65, -71, 40, -59, -20, -88, -27, -79, -99]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    n = len(list_2)
    left = [-1] * n
    right = [n] * n
    stk = []
    for (i, x) in enumerate(list_2):
        while stk and list_2[stk[-1]] <= x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and list_2[stk[-1]] <= list_2[i]:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    python_result_2 = [r - l - 1 for (l, r) in zip(left, right)]
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [69, -28, -56, -5, 3, -82, -89, -7, -77, 48]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    stk = []
    n = len(list_3)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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": [-43, -16, -72, 88, -43, 18, 67, -62, 4, 33]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_boardingCost_static = 14.
Define task_1_runningCost_static = -61.
Trace the execution of task_1 with inputs boardingCost = task_1_boardingCost_static, runningCost = task_1_runningCost_static.
```python
from typing import List
def task_1(list_1: List[int], boardingCost: int, runningCost: int) -> int:
    ans = -1
    mx = t = 0
    wait = 0
    i = 0
    while wait or i < len(list_1):
        wait += list_1[i] if i < len(list_1) else 0
        up = wait if wait < 4 else 4
        wait -= up
        t += up * boardingCost - runningCost
        i += 1
        if t > mx:
            mx = t
            ans = i
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [42, 4, 18, -69, 64, -95, -17, 83, -64, -90]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    n = len(list_2)
    suf = [0] * (n + 1)
    s = set()
    for i in range(n - 1, -1, -1):
        s.add(list_2[i])
        suf[i] = len(s)
    s.clear()
    ans = [0] * n
    for (i, x) in enumerate(list_2):
        s.add(x)
        ans[i] = len(s) - suf[i + 1]
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [91, 4, 17, -74, 0, -3, -21, 81, -32, 29]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    stk = []
    n = len(list_3)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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": 91}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_plants_static = [-17, -19, 58, 75, -59, 96, 98, -87, 87, 82].
Define task_1_capacityB_static = 52.
Trace the execution of task_1 with inputs plants = task_1_plants_static, capacityB = task_1_capacityB_static.
```python
from typing import List
def task_1(plants: List[int], val_1: int, capacityB: int) -> int:
    (a, b) = (val_1, capacityB)
    ans = 0
    (i, j) = (0, len(plants) - 1)
    while i < j:
        if a < plants[i]:
            ans += 1
            a = val_1
        a -= plants[i]
        if b < plants[j]:
            ans += 1
            b = capacityB
        b -= plants[j]
        (i, j) = (i + 1, j - 1)
    ans += i == j and max(a, b) < plants[i]
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [-13, 77, -51, -64, -79, 67, 46, -9, -8, -80]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    n = len(list_2)
    ans = [0] * n
    stk = []
    for i in range(n - 1, -1, -1):
        while stk and stk[-1] < list_2[i]:
            ans[i] += 1
            stk.pop()
        if stk:
            ans[i] += 1
        stk.append(list_2[i])
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-33, 56, -14, 81, 19, -24, 3, -79, 4, -83]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    stk = []
    n = len(list_3)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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": [-65, 52, 43, 77, -95, -94, 8, -85, 61, -45]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> 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.

Define task_2_input = {"result": [69, 93, -2, -85, -32, 100, 16, 30, 27, -85]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Define task_2_limit_static = -12.
Trace the execution of task_2 with inputs limit = task_2_limit_static.
```python
from typing import List
def task_2(list_2: List[int], limit: int) -> List[int]:
    n = len(list_2)
    arr = sorted(zip(list_2, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= limit:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-3, 0, 91, 26, -59, 69, -74, -38, 21, -79]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    stk = []
    n = len(list_3)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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": [62, 32, -57, 22, -88, -86, 84, -17, 15, 39]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    if list_1[0] <= list_1[-1]:
        python_result_1 = list_1[0]
        return python_result_1
    (left, right) = (0, len(list_1) - 1)
    while left < right:
        mid = left + right >> 1
        if list_1[0] <= list_1[mid]:
            left = mid + 1
        else:
            right = mid
    python_result_1 = list_1[left]
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": -38}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [80, -69, 41, 89, 47, 5, 13, -9, 46, 63].
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) -> int:
    mx = max(nums)
    n = len(nums)
    ans = cnt = j = 0
    for x in nums:
        while j < n and cnt < val_2:
            cnt += nums[j] == mx
            j += 1
        if cnt < val_2:
            break
        ans += n - j + 1
        cnt -= x == mx
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-79, -2, -33, -72, -40, -82, -35, 12, 43, -64]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    stk = []
    n = len(list_3)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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": [40, 74, -67, 41, 76, 79, 65, -95, 13, 48]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    stk = []
    for (i, v) in enumerate(list_1):
        if not stk or list_1[stk[-1]] > v:
            stk.append(i)
    ans = 0
    for i in range(len(list_1) - 1, -1, -1):
        while stk and list_1[stk[-1]] <= list_1[i]:
            ans = max(ans, i - stk.pop())
        if not stk:
            break
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [-66, -93, -41, -5, 14, 4, -10, 98, -57, -76]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    f = True
    while f:
        f = False
        t = list_2[:]
        for i in range(1, len(t) - 1):
            if t[i] > t[i - 1] and t[i] > t[i + 1]:
                list_2[i] -= 1
                f = True
            if t[i] < t[i - 1] and t[i] < t[i + 1]:
                list_2[i] += 1
                f = True
    python_result_2 = list_2
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [-31, 28, -46, -6, 71, -100, -46, 96, 16, -37]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> List[int]:
    stk = []
    n = len(list_3)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_3[stk[-1]] <= list_3[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(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": [-37, 63, 54, -94, 37, -69, -29, -2, -51, 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.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    stk = []
    left = [-1] * n
    for (i, x) in enumerate(list_1):
        while stk and list_1[stk[-1]] > x:
            stk.pop()
        if stk:
            left[i] = stk[-1]
        stk.append(i)
    stk = []
    right = [n] * n
    for i in range(n - 1, -1, -1):
        x = list_1[i]
        while stk and list_1[stk[-1]] >= x:
            stk.pop()
        if stk:
            right[i] = stk[-1]
        stk.append(i)
    f = [0] * n
    for (i, x) in enumerate(list_1):
        if i and x >= list_1[i - 1]:
            f[i] = f[i - 1] + x
        else:
            j = left[i]
            f[i] = x * (i - j) + (f[j] if j != -1 else 0)
    g = [0] * n
    for i in range(n - 1, -1, -1):
        if i < n - 1 and list_1[i] >= list_1[i + 1]:
            g[i] = g[i + 1] + list_1[i]
        else:
            j = right[i]
            g[i] = list_1[i] * (j - i) + (g[j] if j != n else 0)
    python_result_1 = max((a + b - c for (a, b, c) in zip(f, g, list_1)))
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": 32}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [22, -50, -3, 79, -21, -46, 57, -62, -82, -9].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [55, 64, 16, 12, 92, 6, 61, -69, 88, 25]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [-96, -4, 31, 36, -85, -93, 3, -73, -67, -52].
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:
    def f(nums1, nums2):
        d = [a - b for (a, b) in zip(nums1, nums2)]
        t = mx = d[0]
        for v in d[1:]:
            if t > 0:
                t += v
            else:
                t = v
            mx = max(mx, t)
        return mx
    (s1, s2) = (sum(list_3), sum(nums2))
    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [34, 83, 21, -12, 75, 9, -4, 83, 41, -56]}.
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.

Define task_2_input = {"result": -91}.
Task 2:
Let val_2 be the result of preprocessing task_2_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [14, -52, 24, -87, -87, -39, 30, 7, 26, -3].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Define task_3_input = {"result": [89, 15, -85, -98, -6, 23, -60, -2, -33, 24]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [17, 94, -30, -38, 23, -51, 38, 90, -36, 44].
Trace the execution of task_3 with inputs nums2 = task_3_nums2_static.
```python
from typing import List
def task_3(list_3: List[int], nums2: List[int]) -> int:
    def f(nums1, nums2):
        d = [a - b for (a, b) in zip(nums1, nums2)]
        t = mx = d[0]
        for v in d[1:]:
            if t > 0:
                t += v
            else:
                t = v
            mx = max(mx, t)
        return mx
    (s1, s2) = (sum(list_3), sum(nums2))
    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": -40}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [-7, 27, 10, 63, -1, -96, 57, 96, 53, 29].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Define task_2_input = {"result": [-53, 88, -13, -54, -2, 59, -37, -91, -74, 16]}.
Task 2:
Let list_2 be the result of preprocessing task_2_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_2.
```python
from typing import List
def task_2(list_2: List[int]) -> List[int]:
    n = len(list_2)
    ans = [-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.

Define task_3_input = {"result": [-94, -83, 71, 86, -4, -20, 47, -2, -75, -97]}.
Task 3:
Let list_3 be the result of preprocessing task_3_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Define task_3_nums2_static = [38, -42, 19, -58, -16, -7, -16, 7, 100, 58].
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:
    def f(nums1, nums2):
        d = [a - b for (a, b) in zip(nums1, nums2)]
        t = mx = d[0]
        for v in d[1:]:
            if t > 0:
                t += v
            else:
                t = v
            mx = max(mx, t)
        return mx
    (s1, s2) = (sum(list_3), sum(nums2))
    python_result_3 = max(s2 + f(list_3, nums2), s1 + f(nums2, list_3))
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.