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

Define task_1_input = {"result": 26}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_arr_static = [43, 56, 92, 32, -57, -9, 85, 63, -98, -60].
Trace the execution of task_1 with inputs arr = task_1_arr_static.
```python
from typing import List
def task_1(arr: List[int], val_1: int) -> int:
    mx = arr[0]
    cnt = 0
    for x in arr[1:]:
        if mx < x:
            mx = x
            cnt = 1
        else:
            cnt += 1
        if cnt == val_1:
            break
    python_result_1 = mx
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_skills_static = [-43, 12, -31, 26, -17, 47, 55, -45, -20, -8].
Trace the execution of task_2 with inputs skills = task_2_skills_static.
```python
from typing import List
def task_2(skills: List[int], val_2: int) -> int:
    n = len(skills)
    val_2 = min(val_2, n - 1)
    i = cnt = 0
    for j in range(1, n):
        if skills[i] < skills[j]:
            i = j
            cnt = 1
        else:
            cnt += 1
        if cnt == val_2:
            break
    python_result_2 = i
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_3_buses_static = [1, -44, -11, -21, 60, 30, 85, -4, -72, -19].
Define task_3_passengers_static = [53, 75, -17, -27, -58, 83, -35, -92, 57, 53].
Trace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.
```python
from typing import List
def task_3(buses: List[int], passengers: List[int], val_3: int) -> int:
    buses.sort()
    passengers.sort()
    j = 0
    for t in buses:
        c = val_3
        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_3 = ans
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": 63}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_y_static = -72.
Define task_1_bound_static = 78.
Trace the execution of task_1 with inputs y = task_1_y_static, bound = task_1_bound_static.
```python
from typing import List
def task_1(val_1: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_1 == 1:
            break
        a *= val_1
    python_result_1 = list(ans)
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_3_buses_static = [85, -1, 47, 63, 29, 36, -62, -98, 99, 98].
Define task_3_passengers_static = [-52, 3, 19, -12, 49, -12, -74, 72, -91, -1].
Trace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.
```python
from typing import List
def task_3(buses: List[int], passengers: List[int], val_3: int) -> int:
    buses.sort()
    passengers.sort()
    j = 0
    for t in buses:
        c = val_3
        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_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": [-88, -65, -31, 74, -29, 67, 7, -100, 86, -84]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    stk = []
    n = len(list_1)
    ans = [0] * n
    for i in range(n - 1, -1, -1):
        while stk and list_1[stk[-1]] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1] - i
        stk.append(i)
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_3_buses_static = [-24, -51, 29, 79, -82, 59, 6, -2, 46, 77].
Define task_3_passengers_static = [11, -84, -28, 35, 95, -86, 76, 77, -26, -77].
Trace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.
```python
from typing import List
def task_3(buses: List[int], passengers: List[int], val_3: int) -> int:
    buses.sort()
    passengers.sort()
    j = 0
    for t in buses:
        c = val_3
        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_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": -76}.
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 = [-69, -88, 24, 40, -97, 44, 9, 87, -1, -43].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Define task_2_k_static = 40.
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:
    list_2.sort()
    n = len(list_2)
    m = n >> 1
    ans = abs(list_2[m] - k)
    if list_2[m] > k:
        for i in range(m - 1, -1, -1):
            if list_2[i] <= k:
                break
            ans += list_2[i] - k
    else:
        for i in range(m + 1, n):
            if list_2[i] >= k:
                break
            ans += k - list_2[i]
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_3_buses_static = [69, 56, -1, -83, -7, -84, -7, 68, 51, 2].
Define task_3_passengers_static = [-9, -21, 68, 10, -59, 97, -23, 47, -6, 41].
Trace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.
```python
from typing import List
def task_3(buses: List[int], passengers: List[int], val_3: int) -> int:
    buses.sort()
    passengers.sort()
    j = 0
    for t in buses:
        c = val_3
        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_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, -88, -4, 62, 49, 69, -65, 50, 5, 62]}.
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)
    ans = 0
    for k in range(1, n + 1):
        t = 0
        j = 1
        while k * j * j <= n:
            t += list_1[k * j * j - 1]
            j += 1
        ans = max(ans, t)
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [80, -55, 20, 34, 24, 93, 28, -30, -53, 1].
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.

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_3_buses_static = [89, -98, -47, -15, -93, -18, 44, 65, -31, 59].
Define task_3_passengers_static = [81, -25, -51, 88, -32, 55, -31, 47, -38, 20].
Trace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.
```python
from typing import List
def task_3(buses: List[int], passengers: List[int], val_3: int) -> int:
    buses.sort()
    passengers.sort()
    j = 0
    for t in buses:
        c = val_3
        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_3 = ans
    return python_result_3
```
Let python_result_3 be the value returned by task_3.
Output the result as task_3_out = {"result": python_result_3}, replacing python_result_3 with its calculated value.


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

Define task_1_input = {"result": [-56, -31, 85, -54, -30, 99, 7, -4, -94, -76]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    n = len(list_1)
    leftSum = [0] * n
    for i in range(1, n):
        leftSum[i] = leftSum[i - 1] + list_1[i - 1]
    total = sum(list_1)
    answer = []
    for i in range(n):
        rightSum_i = total - list_1[i] - leftSum[i]
        answer.append(abs(leftSum[i] - rightSum_i))
    python_result_1 = answer
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

Task 3:
Let val_3 be the result of preprocessing task_2_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_3_buses_static = [64, -7, -88, -58, 74, 38, -27, -34, 17, -24].
Define task_3_passengers_static = [-97, -45, -51, 38, 54, -85, 14, 13, 83, -63].
Trace the execution of task_3 with inputs buses = task_3_buses_static, passengers = task_3_passengers_static.
```python
from typing import List
def task_3(buses: List[int], passengers: List[int], val_3: int) -> int:
    buses.sort()
    passengers.sort()
    j = 0
    for t in buses:
        c = val_3
        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_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": 59}.
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 = [-90, 100, -88, 92, 66, 54, -56, -52, -67, -4].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    (left, right) = (0, len(list_3) - 1)
    while left < right:
        mid = left + right >> 1
        if list_3[mid] > list_3[right]:
            left = mid + 1
        elif list_3[mid] < list_3[right]:
            right = mid
        else:
            right -= 1
    python_result_3 = list_3[left]
    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}.
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 = [-65, -73, 39, 4, -71, 95, 7, 36, -54, -29].
Define task_1_passengers_static = [90, -42, -86, 88, -31, 25, -36, -18, -82, 84].
Trace the execution of task_1 with inputs buses = task_1_buses_static, passengers = task_1_passengers_static.
```python
from typing import List
def task_1(buses: List[int], passengers: List[int], val_1: int) -> int:
    buses.sort()
    passengers.sort()
    j = 0
    for t in buses:
        c = val_1
        while c and j < len(passengers) and (passengers[j] <= t):
            (c, j) = (c - 1, j + 1)
    j -= 1
    ans = buses[-1] if c else passengers[j]
    while ~j and passengers[j] == ans:
        (ans, j) = (ans - 1, j - 1)
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [-55, 2, 74, 86, 53, 78, -79, -48, 72, 41].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": 66}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [33, -42, 36, 6, -79, -99, -86, 91, 88, 37].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> int:
    nums.sort()
    (ans, n) = (0, len(nums))
    for i in range(n - 2):
        (j, k) = (i + 1, n - 1)
        while j < k:
            x = nums[i] + nums[j] + nums[k]
            if x < val_1:
                ans += k - j
                j += 1
            else:
                k -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -15.
Define task_2_bound_static = 81.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    (left, right) = (0, len(list_3) - 1)
    while left < right:
        mid = left + right >> 1
        if list_3[mid] > list_3[right]:
            left = mid + 1
        elif list_3[mid] < list_3[right]:
            right = mid
        else:
            right -= 1
    python_result_3 = list_3[left]
    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, -72, 93, 83, -4, -59, 47, -10, -42, -23]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    (i, j) = (0, len(list_1) - 1)
    while i < j:
        if list_1[i] % 2 == 0:
            i += 1
        elif list_1[j] % 2 == 1:
            j -= 1
        else:
            (list_1[i], list_1[j]) = (list_1[j], list_1[i])
            (i, j) = (i + 1, j - 1)
    python_result_1 = list_1
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Define task_2_arr2_static = [48, 83, -53, 86, -55, 33, 62, 49, -64, -66].
Trace the execution of task_2 with inputs arr2 = task_2_arr2_static.
```python
from typing import List
def task_2(list_2: List[int], arr2: List[int]) -> List[int]:
    (i, j) = (len(list_2) - 1, len(arr2) - 1)
    c = 0
    ans = []
    while i >= 0 or j >= 0 or c:
        a = 0 if i < 0 else list_2[i]
        b = 0 if j < 0 else arr2[j]
        x = a + b + c
        c = 0
        if x >= 2:
            x -= 2
            c -= 1
        elif x == -1:
            x = 1
            c += 1
        ans.append(x)
        (i, j) = (i - 1, j - 1)
    while len(ans) > 1 and ans[-1] == 0:
        ans.pop()
    python_result_2 = ans[::-1]
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    (left, right) = (0, len(list_3) - 1)
    while left < right:
        mid = left + right >> 1
        if list_3[mid] > list_3[right]:
            left = mid + 1
        elif list_3[mid] < list_3[right]:
            right = mid
        else:
            right -= 1
    python_result_3 = list_3[left]
    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": -73}.
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 = [20, -75, 87, -52, 11, -83, 69, 12, 0, -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.

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

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


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

Define task_1_input = {"result": [36, -86, 5, 91, 28, -64, -64, -48, -19, -17]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    ans = s = 0
    pos = {}
    for (i, x) in enumerate(list_1):
        s += 1 if x > 8 else -1
        if s > 0:
            ans = i + 1
        elif s - 1 in pos:
            ans = max(ans, i - pos[s - 1])
        if s not in pos:
            pos[s] = i
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = 100.
Define task_2_bound_static = 65.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": 46}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [-50, -43, 26, 22, 51, 24, -49, 4, 36, -74].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    (left, right) = (0, len(list_3) - 1)
    while left < right:
        mid = left + right >> 1
        if list_3[mid] > list_3[right]:
            left = mid + 1
        elif list_3[mid] < list_3[right]:
            right = mid
        else:
            right -= 1
    python_result_3 = list_3[left]
    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, 1, 69, 86, -28, 98, 90, -59, -17, 77]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    ans = 1
    f = [1] * n
    g = [1] * n
    for i in range(1, n):
        for j in range(i):
            if list_1[j] < list_1[i]:
                f[i] = max(f[i], g[j] + 1)
            elif list_1[j] > list_1[i]:
                g[i] = max(g[i], f[j] + 1)
        ans = max(ans, f[i], g[i])
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = 13.
Define task_2_bound_static = 22.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    (left, right) = (0, len(list_3) - 1)
    while left < right:
        mid = left + right >> 1
        if list_3[mid] > list_3[right]:
            left = mid + 1
        elif list_3[mid] < list_3[right]:
            right = mid
        else:
            right -= 1
    python_result_3 = list_3[left]
    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": [-83, 13, 23, 47, 46, -22, 85, -5, -55, 59]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Define task_1_nums2_static = [-64, -14, -38, 85, 89, -11, -1, -3, -44, 34].
Trace the execution of task_1 with inputs nums2 = task_1_nums2_static.
```python
from typing import List
def task_1(list_1: List[int], nums2: List[int]) -> int:
    nums = [a - b for (a, b) in zip(list_1, nums2)]
    nums.sort()
    (l, r) = (0, len(nums) - 1)
    ans = 0
    while l < r:
        while l < r and nums[l] + nums[r] <= 0:
            l += 1
        ans += r - l
        r -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [12, -63, -16, 59, 63, 55, -100, 9, 79, 68].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": [-98, 32, -41, -35, -61, -14, 77, 76, 81, -77]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    (i, n) = (0, len(list_1))
    while i + 1 < n and list_1[i] < list_1[i + 1]:
        i += 1
    if i == n - 1:
        python_result_1 = n * (n + 1) // 2
        return python_result_1
    ans = i + 2
    j = n - 1
    while j:
        while i >= 0 and list_1[i] >= list_1[j]:
            i -= 1
        ans += i + 2
        if list_1[j - 1] >= list_1[j]:
            break
        j -= 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [-45, -53, -6, -15, 62, 87, -52, 37, 50, -72].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    (left, right) = (0, len(list_3) - 1)
    while left < right:
        mid = left + right >> 1
        if list_3[mid] > list_3[right]:
            left = mid + 1
        elif list_3[mid] < list_3[right]:
            right = mid
        else:
            right -= 1
    python_result_3 = list_3[left]
    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": 41}.
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 = [44, 73, 55, -63, 19, -35, -20, 18, -85, 79].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    (left, right) = (0, len(list_3) - 1)
    while left < right:
        mid = left + right >> 1
        if list_3[mid] > list_3[right]:
            left = mid + 1
        elif list_3[mid] < list_3[right]:
            right = mid
        else:
            right -= 1
    python_result_3 = list_3[left]
    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.
Trace the execution of task_1.
```python
def task_1(val_1: int) -> int:
    ans = 0
    (mi, mx) = (-2 ** 31, 2 ** 31 - 1)
    while val_1:
        if ans < mi // 10 + 1 or ans > mx // 10:
            python_result_1 = 0
            return python_result_1
        y = val_1 % 10
        if val_1 < 0 and y > 0:
            y -= 10
        ans = ans * 10 + y
        val_1 = (val_1 - y) // 10
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -8.
Define task_2_bound_static = 56.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": 32}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_arr_static = [-94, -100, -11, -81, 89, 90, 78, -77, -80, 92].
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.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -3.
Define task_2_bound_static = 14.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": 96}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Trace the execution of task_1.
```python
def task_1(val_1: int) -> int:
    (s, k) = (0, 1)
    while s + k * (k + 1) // 2 <= val_1:
        s += k * (k + 1) // 2
        k += 1
    k -= 1
    ans = k * (k + 1) // 2
    k = 1
    while s < val_1:
        ans += 1
        s += k
        k += 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [-31, -62, 95, -54, -73, 64, 94, -8, 15, 48].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": [-97, 74, -26, -75, 93, -28, 56, 71, -90, -89]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    n = len(list_1)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(list_1[i])
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

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


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

Define task_1_input = {"result": [78, 69, 50, 43, 83, -66, -6, 89, 49, -93]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    f = [1] * n
    cnt = [1] * n
    mx = 0
    for i in range(n):
        for j in range(i):
            if list_1[j] < list_1[i]:
                if f[i] < f[j] + 1:
                    f[i] = f[j] + 1
                    cnt[i] = cnt[j]
                elif f[i] == f[j] + 1:
                    cnt[i] += cnt[j]
        if mx < f[i]:
            mx = f[i]
            ans = cnt[i]
        elif mx == f[i]:
            ans += cnt[i]
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [99, -2, -28, -7, -69, 49, -23, 84, 3, 67].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

Task 3:
Let list_3 be the result of preprocessing task_2_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_3 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_3.
```python
from typing import List
def task_3(list_3: List[int]) -> int:
    (left, right) = (0, len(list_3) - 1)
    while left < right:
        mid = left + right >> 1
        if list_3[mid] > list_3[right]:
            left = mid + 1
        elif list_3[mid] < list_3[right]:
            right = mid
        else:
            right -= 1
    python_result_3 = list_3[left]
    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": -83}.
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_skills_static = [-25, 30, 52, 48, -64, -14, 23, -91, 24, -22].
Trace the execution of task_1 with inputs skills = task_1_skills_static.
```python
from typing import List
def task_1(skills: List[int], val_1: int) -> int:
    n = len(skills)
    val_1 = min(val_1, n - 1)
    i = cnt = 0
    for j in range(1, n):
        if skills[i] < skills[j]:
            i = j
            cnt = 1
        else:
            cnt += 1
        if cnt == val_1:
            break
    python_result_1 = i
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = 19.
Define task_2_bound_static = 57.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": -21}.
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 = [12, -10, -68, 52, -59, -88, 44, -69, -20, 65].
Trace the execution of task_1 with inputs arr = task_1_arr_static.
```python
from typing import List
def task_1(arr: List[int], val_1: int) -> int:
    mx = arr[0]
    cnt = 0
    for x in arr[1:]:
        if mx < x:
            mx = x
            cnt = 1
        else:
            cnt += 1
        if cnt == val_1:
            break
    python_result_1 = mx
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [-72, -22, -70, 80, -72, 75, 97, 46, 84, -91].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": [-52, -53, 47, 48, 76, -65, 47, 58, 6, 18]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> int:
    n = len(list_1)
    left = [0] * n
    right = [0] * n
    s = 0
    for (i, x) in enumerate(list_1):
        s = max(s, 0) + x
        left[i] = s
    s = 0
    for i in range(n - 1, -1, -1):
        s = max(s, 0) + list_1[i]
        right[i] = s
    ans = max(left)
    for i in range(1, n - 1):
        ans = max(ans, left[i - 1] + right[i + 1])
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [65, 59, -78, -88, -12, -99, 58, 80, -43, -27].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": 4}.
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 = [30, 8, 16, 46, 92, 50, 59, -42, -82, 72].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_1:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

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


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

Define task_1_input = {"result": -78}.
Task 1:
Let val_1 be the result of preprocessing task_1_input["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_1_nums_static = [77, 63, 74, -44, 11, -29, -68, 85, -6, -7].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> int:
    mx = max(nums)
    n = len(nums)
    ans = cnt = j = 0
    for x in nums:
        while j < n and cnt < val_1:
            cnt += nums[j] == mx
            j += 1
        if cnt < val_1:
            break
        ans += n - j + 1
        cnt -= x == mx
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_nums_static = [-44, -86, -57, -46, 51, -39, -99, 27, 32, -39].
Trace the execution of task_2 with inputs nums = task_2_nums_static.
```python
from typing import List
def task_2(nums: List[int], val_2: int) -> List[int]:
    n = len(nums)
    arr = sorted(zip(nums, range(n)))
    ans = [0] * n
    i = 0
    while i < n:
        j = i + 1
        while j < n and arr[j][0] - arr[j - 1][0] <= val_2:
            j += 1
        idx = sorted((k for (_, k) in arr[i:j]))
        for (k, (x, _)) in zip(idx, arr[i:j]):
            ans[k] = x
        i = j
    python_result_2 = ans
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": 48}.
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 = [32, 43, 88, -55, -54, -68, 8, -99, 75, 79].
Trace the execution of task_1 with inputs nums = task_1_nums_static.
```python
from typing import List
def task_1(nums: List[int], val_1: int) -> int:
    (ans, y) = (1, nums[0])
    for x in nums[1:]:
        if x == 0:
            python_result_1 = 1
            return python_result_1
        if x * y <= val_1:
            y *= x
        else:
            y = x
            ans += 1
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let val_2 be the result of preprocessing task_1_out["result"] as follows - if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
Define task_2_y_static = -6.
Define task_2_bound_static = 45.
Trace the execution of task_2 with inputs y = task_2_y_static, bound = task_2_bound_static.
```python
from typing import List
def task_2(val_2: int, y: int, bound: int) -> List[int]:
    ans = []
    a = 1
    while a <= bound:
        b = 1
        while a + b <= bound:
            ans.append(a + b)
            b *= y
            if y == 1:
                break
        if val_2 == 1:
            break
        a *= val_2
    python_result_2 = list(ans)
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": [-85, 31, 61, -80, -71, -51, 11, 95, 45, -72]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    n = len(list_1)
    ans = [-1] * n
    stk = []
    for i in range(n * 2 - 1, -1, -1):
        i %= n
        while stk and stk[-1] <= list_1[i]:
            stk.pop()
        if stk:
            ans[i] = stk[-1]
        stk.append(list_1[i])
    python_result_1 = ans
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

Task 2:
Let list_2 be the result of preprocessing task_1_out["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_2 has more than 10 elements, keep only the first 10 elements.
Define task_2_arr2_static = [29, -91, 40, 26, 42, -92, 63, -16, 62, -45].
Trace the execution of task_2 with inputs arr2 = task_2_arr2_static.
```python
from typing import List
def task_2(list_2: List[int], arr2: List[int]) -> List[int]:
    (i, j) = (len(list_2) - 1, len(arr2) - 1)
    c = 0
    ans = []
    while i >= 0 or j >= 0 or c:
        a = 0 if i < 0 else list_2[i]
        b = 0 if j < 0 else arr2[j]
        x = a + b + c
        c = 0
        if x >= 2:
            x -= 2
            c -= 1
        elif x == -1:
            x = 1
            c += 1
        ans.append(x)
        (i, j) = (i - 1, j - 1)
    while len(ans) > 1 and ans[-1] == 0:
        ans.pop()
    python_result_2 = ans[::-1]
    return python_result_2
```
Let python_result_2 be the value returned by task_2.
Output the result as task_2_out = {"result": python_result_2}, replacing python_result_2 with its calculated value.

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


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

Define task_1_input = {"result": [-9, 95, 100, 66, -59, -6, 27, 41, -26, -87]}.
Task 1:
Let list_1 be the result of preprocessing task_1_input["result"] as follows - for every element, if it is a float, convert it to an integer by rounding ties away from zero (0.5 to 1, -0.5 to -1); then replace it with the remainder of its absolute value modulo 100 while preserving its original sign.
If list_1 has more than 10 elements, keep only the first 10 elements.
Trace the execution of task_1.
```python
from typing import List
def task_1(list_1: List[int]) -> List[int]:
    ans = []
    (i, j) = (0, len(list_1) - 1)
    while i <= j:
        a = list_1[i] * list_1[i]
        b = list_1[j] * list_1[j]
        if a > b:
            ans.append(a)
            i += 1
        else:
            ans.append(b)
            j -= 1
    python_result_1 = ans[::-1]
    return python_result_1
```
Let python_result_1 be the value returned by task_1.
Output the result as task_1_out = {"result": python_result_1}, replacing python_result_1 with its calculated value.

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

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