Buggy python submission (verdict: Runtime Error):
import math
import numpy as np
from itertools import accumulate, chain, islice, starmap
N = int(input())
numbers = list(map(int, input().split()))
# numbers = [2, 4, 8, 8]
# N = len(numbers)


def calculate_maximum_subgcd_with_np_ufunc(numbers):
    gcd = np.frompyfunc(math.gcd, 2, 1)
    cumgcds = gcd.accumulate(numbers, dtype=np.object).astype(np.int)
    sub_cumgcds = np.roll(cumgcds, 1)
    sub_cumgcds[0] = 0
    reverse_cumgcds = gcd.accumulate(
        numbers[::-1], dtype=np.object).astype(np.int)
    sub_reverse_cumgcds = np.roll(reverse_cumgcds, 1)
    sub_reverse_cumgcds[0] = 0
    return np.max(gcd(sub_cumgcds, sub_reverse_cumgcds[::-1]))


def calculate_maximum_subgcd_with_func(numbers):
    operation = math.gcd
    cumgcds = accumulate(numbers, operation)
    sub_cumgcds = islice(chain([0], cumgcds), len(numbers))
    reverse_cumgcds = accumulate(numbers[::-1], operation)
    sub_reverse_cumgcds = islice(chain([0], reverse_cumgcds), len(numbers))
    sub_gcds = starmap(operation, zip(sub_cumgcds, list(sub_reverse_cumgcds)[::-1]))
    return max(sub_gcds)


# calculate_maximum_subgcd = calculate_maximum_subgcd_with_np_ufunc
calculate_maximum_subgcd = calculate_maximum_subgcd_with_func

print(calculate_maximum_subgcd(numbers))


Fixed submission:
# import math
import fractions
import numpy as np
from itertools import accumulate, chain, islice, starmap
N = int(input())
numbers = list(map(int, input().split()))
# numbers = [2, 4, 8, 8]
# N = len(numbers)


def calculate_maximum_subgcd_with_np_ufunc(numbers):
    gcd = np.frompyfunc(fractions.gcd, 2, 1)
    cumgcds = gcd.accumulate(numbers, dtype=np.object).astype(np.int)
    sub_cumgcds = np.roll(cumgcds, 1)
    sub_cumgcds[0] = 0
    reverse_cumgcds = gcd.accumulate(
        numbers[::-1], dtype=np.object).astype(np.int)
    sub_reverse_cumgcds = np.roll(reverse_cumgcds, 1)
    sub_reverse_cumgcds[0] = 0
    return np.max(gcd(sub_cumgcds, sub_reverse_cumgcds[::-1]))


def calculate_maximum_subgcd_with_func(numbers):
    operation = fractions.gcd
    cumgcds = accumulate(numbers, operation)
    sub_cumgcds = islice(chain([0], cumgcds), len(numbers))
    reverse_cumgcds = accumulate(numbers[::-1], operation)
    sub_reverse_cumgcds = islice(chain([0], reverse_cumgcds), len(numbers))
    sub_gcds = starmap(operation, zip(sub_cumgcds, list(sub_reverse_cumgcds)[::-1]))
    return max(sub_gcds)


# calculate_maximum_subgcd = calculate_maximum_subgcd_with_np_ufunc
calculate_maximum_subgcd = calculate_maximum_subgcd_with_func

print(calculate_maximum_subgcd(numbers))

Buggy python submission (verdict: Runtime Error):
import math
import typing
from typing import List
import numpy as np
from itertools import accumulate, chain, islice, starmap
N = int(input())
numbers = list(map(int, input().split()))
# numbers = [2, 4, 8, 8]
# N = len(numbers)


def calculate_maximum_subgcd_with_np_ufunc(numbers: np.ndarray) -> int:
    gcd = np.frompyfunc(math.gcd, 2, 1)
    cumgcds = gcd.accumulate(numbers, dtype=np.object).astype(np.int)
    sub_cumgcds = np.roll(cumgcds, 1)
    sub_cumgcds[0] = 0
    reverse_cumgcds = gcd.accumulate(
        numbers[::-1], dtype=np.object).astype(np.int)
    sub_reverse_cumgcds = np.roll(reverse_cumgcds, 1)
    sub_reverse_cumgcds[0] = 0
    return np.max(gcd(sub_cumgcds, sub_reverse_cumgcds[::-1]))


def calculate_maximum_subgcd_with_func(numbers: List[int]) -> int:
    operation = math.gcd
    cumgcds = accumulate(numbers, operation)
    sub_cumgcds = islice(chain([0], cumgcds), len(numbers))
    reverse_cumgcds = accumulate(numbers[::-1], operation)
    sub_reverse_cumgcds = islice(chain([0], reverse_cumgcds), len(numbers))
    sub_gcds = starmap(operation, zip(sub_cumgcds, list(sub_reverse_cumgcds)[::-1]))
    return max(sub_gcds)


# calculate_maximum_subgcd = calculate_maximum_subgcd_with_np_ufunc
calculate_maximum_subgcd = calculate_maximum_subgcd_with_func

print(calculate_maximum_subgcd(numbers))


Fixed submission:
# import math
import fractions
import numpy as np
from itertools import accumulate, chain, islice, starmap
N = int(input())
numbers = list(map(int, input().split()))
# numbers = [2, 4, 8, 8]
# N = len(numbers)


def calculate_maximum_subgcd_with_np_ufunc(numbers):
    gcd = np.frompyfunc(fractions.gcd, 2, 1)
    cumgcds = gcd.accumulate(numbers, dtype=np.object).astype(np.int)
    sub_cumgcds = np.roll(cumgcds, 1)
    sub_cumgcds[0] = 0
    reverse_cumgcds = gcd.accumulate(
        numbers[::-1], dtype=np.object).astype(np.int)
    sub_reverse_cumgcds = np.roll(reverse_cumgcds, 1)
    sub_reverse_cumgcds[0] = 0
    return np.max(gcd(sub_cumgcds, sub_reverse_cumgcds[::-1]))


def calculate_maximum_subgcd_with_func(numbers):
    operation = fractions.gcd
    cumgcds = accumulate(numbers, operation)
    sub_cumgcds = islice(chain([0], cumgcds), len(numbers))
    reverse_cumgcds = accumulate(numbers[::-1], operation)
    sub_reverse_cumgcds = islice(chain([0], reverse_cumgcds), len(numbers))
    sub_gcds = starmap(operation, zip(sub_cumgcds, list(sub_reverse_cumgcds)[::-1]))
    return max(sub_gcds)


# calculate_maximum_subgcd = calculate_maximum_subgcd_with_np_ufunc
calculate_maximum_subgcd = calculate_maximum_subgcd_with_func

print(calculate_maximum_subgcd(numbers))

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
import fractions
N = int(input())
numbers = np.array(list(map(int, input().split())))
# numbers = np.array([7, 6, 8])
# numbers = np.array([12, 15, 18])
# numbers = np.array([1000000000, 1000000000])
# N = len(numbers)
gcd = np.frompyfunc(fractions.gcd, 2, 1)


def calculate_maximum_sub_gcd(numbers):
    sub_gcds = np.array([sub_gcd(numbers[:i], numbers[i+1:]) for i in range(N)])
    return np.max(sub_gcds)


def sub_gcd(left, right):
    if not left.size > 0:
        return np.ufunc.reduce(gcd, right)
    if not right.size > 0:
        return np.ufunc.reduce(gcd, left)
    else:
        subleft = np.ufunc.reduce(gcd, left)
        subright = np.ufunc.reduce(gcd, right)
        return gcd(subleft, subright)


print(calculate_maximum_sub_gcd(numbers))


Fixed submission:
# import math
import fractions
import numpy as np
from itertools import accumulate, chain, islice, starmap
N = int(input())
numbers = list(map(int, input().split()))
# numbers = [2, 4, 8, 8]
# N = len(numbers)


def calculate_maximum_subgcd_with_np_ufunc(numbers):
    gcd = np.frompyfunc(fractions.gcd, 2, 1)
    cumgcds = gcd.accumulate(numbers, dtype=np.object).astype(np.int)
    sub_cumgcds = np.roll(cumgcds, 1)
    sub_cumgcds[0] = 0
    reverse_cumgcds = gcd.accumulate(
        numbers[::-1], dtype=np.object).astype(np.int)
    sub_reverse_cumgcds = np.roll(reverse_cumgcds, 1)
    sub_reverse_cumgcds[0] = 0
    return np.max(gcd(sub_cumgcds, sub_reverse_cumgcds[::-1]))


def calculate_maximum_subgcd_with_func(numbers):
    operation = fractions.gcd
    cumgcds = accumulate(numbers, operation)
    sub_cumgcds = islice(chain([0], cumgcds), len(numbers))
    reverse_cumgcds = accumulate(numbers[::-1], operation)
    sub_reverse_cumgcds = islice(chain([0], reverse_cumgcds), len(numbers))
    sub_gcds = starmap(operation, zip(sub_cumgcds, list(sub_reverse_cumgcds)[::-1]))
    return max(sub_gcds)


# calculate_maximum_subgcd = calculate_maximum_subgcd_with_np_ufunc
calculate_maximum_subgcd = calculate_maximum_subgcd_with_func

print(calculate_maximum_subgcd(numbers))

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
import fractions
N = int(input())
numbers = np.array(list(map(int, input().split())))
# numbers = np.array([7, 6, 8])
# numbers = np.array([12, 15, 18])
# numbers = np.array([1000000000, 1000000000])
# N = len(numbers)


def calculate_maximum_sub_gcd(numbers):
    sub_gcds = np.array([sub_gcd(numbers[:i], numbers[i+1:]) for i in range(N)])
    return np.max(sub_gcds)


def sub_gcd(left, right):
    gcd = np.frompyfunc(fractions.gcd, 2, 1)
    if not left.size > 0:
        return np.ufunc.reduce(gcd, right)
    if not right.size > 0:
        return np.ufunc.reduce(gcd, left)
    else:
        subleft = np.ufunc.reduce(gcd, left)
        subright = np.ufunc.reduce(gcd, right)
        return gcd(subleft, subright)


print(calculate_maximum_sub_gcd(numbers))


Fixed submission:
# import math
import fractions
import numpy as np
from itertools import accumulate, chain, islice, starmap
N = int(input())
numbers = list(map(int, input().split()))
# numbers = [2, 4, 8, 8]
# N = len(numbers)


def calculate_maximum_subgcd_with_np_ufunc(numbers):
    gcd = np.frompyfunc(fractions.gcd, 2, 1)
    cumgcds = gcd.accumulate(numbers, dtype=np.object).astype(np.int)
    sub_cumgcds = np.roll(cumgcds, 1)
    sub_cumgcds[0] = 0
    reverse_cumgcds = gcd.accumulate(
        numbers[::-1], dtype=np.object).astype(np.int)
    sub_reverse_cumgcds = np.roll(reverse_cumgcds, 1)
    sub_reverse_cumgcds[0] = 0
    return np.max(gcd(sub_cumgcds, sub_reverse_cumgcds[::-1]))


def calculate_maximum_subgcd_with_func(numbers):
    operation = fractions.gcd
    cumgcds = accumulate(numbers, operation)
    sub_cumgcds = islice(chain([0], cumgcds), len(numbers))
    reverse_cumgcds = accumulate(numbers[::-1], operation)
    sub_reverse_cumgcds = islice(chain([0], reverse_cumgcds), len(numbers))
    sub_gcds = starmap(operation, zip(sub_cumgcds, list(sub_reverse_cumgcds)[::-1]))
    return max(sub_gcds)


# calculate_maximum_subgcd = calculate_maximum_subgcd_with_np_ufunc
calculate_maximum_subgcd = calculate_maximum_subgcd_with_func

print(calculate_maximum_subgcd(numbers))

Buggy python submission (verdict: Runtime Error):
import numpy as np
N = map(int, input().split())
numbers = np.array((map(int, input().split())))
# numbers = np.array([7, 6, 8])
# numbers = np.array([12, 15, 18])
# numbers = np.array([1000000000, 1000000000])
# N = len(numbers)


def calculate_maximum_sub_gcd(numbers):
    sub_gcds = np.array([sub_gcd(numbers[:i], numbers[i+1:]) for i in range(N)])
    return np.max(sub_gcds)


def sub_gcd(left, right):
    return np.gcd(np.gcd.reduce(left), np.gcd.reduce(right))


print(calculate_maximum_sub_gcd(numbers))


Fixed submission:
# import math
import fractions
import numpy as np
from itertools import accumulate, chain, islice, starmap
N = int(input())
numbers = list(map(int, input().split()))
# numbers = [2, 4, 8, 8]
# N = len(numbers)


def calculate_maximum_subgcd_with_np_ufunc(numbers):
    gcd = np.frompyfunc(fractions.gcd, 2, 1)
    cumgcds = gcd.accumulate(numbers, dtype=np.object).astype(np.int)
    sub_cumgcds = np.roll(cumgcds, 1)
    sub_cumgcds[0] = 0
    reverse_cumgcds = gcd.accumulate(
        numbers[::-1], dtype=np.object).astype(np.int)
    sub_reverse_cumgcds = np.roll(reverse_cumgcds, 1)
    sub_reverse_cumgcds[0] = 0
    return np.max(gcd(sub_cumgcds, sub_reverse_cumgcds[::-1]))


def calculate_maximum_subgcd_with_func(numbers):
    operation = fractions.gcd
    cumgcds = accumulate(numbers, operation)
    sub_cumgcds = islice(chain([0], cumgcds), len(numbers))
    reverse_cumgcds = accumulate(numbers[::-1], operation)
    sub_reverse_cumgcds = islice(chain([0], reverse_cumgcds), len(numbers))
    sub_gcds = starmap(operation, zip(sub_cumgcds, list(sub_reverse_cumgcds)[::-1]))
    return max(sub_gcds)


# calculate_maximum_subgcd = calculate_maximum_subgcd_with_np_ufunc
calculate_maximum_subgcd = calculate_maximum_subgcd_with_func

print(calculate_maximum_subgcd(numbers))