Buggy python submission (verdict: Time Limit Exceeded):
import sys
from fractions import gcd


def eratosthenes_generator():
    yield 2
    n = 3
    h = {}
    while True:
        m = n
        if n in h:
            b = h[n]
            del h[n]
        else:
            b = n
            yield n
        m += b << 1
        while m in h:
            m += b << 1
        h[m] = b
        n += 2


def prime(n):
    ret = []
    for i in eratosthenes_generator():
        if n % i == 0:
            ret.append(i)
            while n % i == 0:
                n = n // i
        if n == 1:
            break
    if n > 1:
        ret.append(n)
    return ret


def solve(n, aaa):
    g = abs(aaa[-1])
    for a in aaa[:-1]:
        if a != 0:
            g = gcd(g, abs(a))
    ans = set(prime(g))

    for p in eratosthenes_generator():
        if p > n + 2:
            break
        if p in ans or aaa[0] % p != 0:
            continue
        q = p - 1
        tmp = [0] * q
        for i, a in enumerate(aaa):
            tmp[i % q] += a
        if all(t % p == 0 for t in tmp):
            ans.add(p)

    ans = sorted(ans)
    return ans


n = int(input())
aaa = list(map(int, sys.stdin))
aaa.reverse()
print('\n'.join(map(str, solve(n, aaa))))


Fixed submission:
import sys
from fractions import gcd


def eratosthenes_generator():
    yield 2
    n = 3
    h = {}
    while True:
        m = n
        if n in h:
            b = h[n]
            del h[n]
        else:
            b = n
            yield n
        m += b << 1
        while m in h:
            m += b << 1
        h[m] = b
        n += 2


def prime(n):
    ret = []
    if n % 2 == 0:
        ret.append(2)
        while n % 2 == 0:
            n >>= 1
    for i in range(3, int(n ** 0.5) + 1, 2):
        if n % i == 0:
            ret.append(i)
            while n % i == 0:
                n = n // i
        if n == 1:
            break
    if n > 1:
        ret.append(n)
    return ret


def solve(n, aaa):
    g = abs(aaa[-1])
    for a in aaa[:-1]:
        if a != 0:
            g = gcd(g, abs(a))
    ans = set(prime(g))

    for p in eratosthenes_generator():
        if p > n + 2:
            break
        if p in ans or aaa[0] % p != 0:
            continue
        q = p - 1
        tmp = [0] * q
        for i, a in enumerate(aaa):
            tmp[i % q] += a
        if all(t % p == 0 for t in tmp):
            ans.add(p)

    ans = sorted(ans)
    return ans


n = int(input())
aaa = list(map(int, sys.stdin))
aaa.reverse()
print('\n'.join(map(str, solve(n, aaa))))

Buggy python submission (verdict: Runtime Error):
import sys
from fractions import gcd


def eratosthenes_generator():
    yield 2
    n = 3
    h = {}
    while True:
        m = n
        if n in h:
            b = h[n]
            del h[n]
        else:
            b = n
            yield n
        m += b << 1
        while m in h:
            m += b << 1
        h[m] = b
        n += 2


def prime(n):
    ret = []
    if n % 2 == 0:
        ret.append(2)
        while n % 2 == 0:
            n >>= 1
    for i in range(3, int(n ** 0.5) + 1, 2):
        if n % i == 0:
            ret.append(i)
            while n % i == 0:
                n = n // i
        if n == 1:
            break
    if n > 1:
        ret.append(n)
    return ret


def solve(n, aaa):
    g = abs(aaa[-1])
    for a in aaa[:-1]:
        if a != 0:
            g = gcd(g, abs(a))
    ans = set(prime(g))

    for p in prime(aaa[0]):
        if p > n + 2:
            break
        if p in ans or aaa[0] % p != 0:
            continue
        q = p - 1
        tmp = [0] * q
        for i, a in enumerate(aaa):
            tmp[i % q] += a
        if all(t % p == 0 for t in tmp):
            ans.add(p)

    ans = sorted(ans)
    return ans


n = int(input())
aaa = list(map(int, sys.stdin))
aaa.reverse()
print('\n'.join(map(str, solve(n, aaa))))


Fixed submission:
import sys
from fractions import gcd


def eratosthenes_generator():
    yield 2
    n = 3
    h = {}
    while True:
        m = n
        if n in h:
            b = h[n]
            del h[n]
        else:
            b = n
            yield n
        m += b << 1
        while m in h:
            m += b << 1
        h[m] = b
        n += 2


def prime(n):
    ret = []
    if n % 2 == 0:
        ret.append(2)
        while n % 2 == 0:
            n >>= 1
    for i in range(3, int(n ** 0.5) + 1, 2):
        if n % i == 0:
            ret.append(i)
            while n % i == 0:
                n = n // i
        if n == 1:
            break
    if n > 1:
        ret.append(n)
    return ret


def solve(n, aaa):
    g = abs(aaa[-1])
    for a in aaa[:-1]:
        if a != 0:
            g = gcd(g, abs(a))
    ans = set(prime(g))

    for p in eratosthenes_generator():
        if p > n + 2:
            break
        if p in ans or aaa[0] % p != 0:
            continue
        q = p - 1
        tmp = [0] * q
        for i, a in enumerate(aaa):
            tmp[i % q] += a
        if all(t % p == 0 for t in tmp):
            ans.add(p)

    ans = sorted(ans)
    return ans


n = int(input())
aaa = list(map(int, sys.stdin))
aaa.reverse()
print('\n'.join(map(str, solve(n, aaa))))

Buggy python submission (verdict: Time Limit Exceeded):
import sys
from fractions import gcd


def eratosthenes_generator():
    yield 2
    n = 3
    h = {}
    while True:
        m = n
        if n in h:
            b = h[n]
            del h[n]
        else:
            b = n
            yield n
        m += b << 1
        while m in h:
            m += b << 1
        h[m] = b
        n += 2


def prime(n):
    ret = []
    for i in eratosthenes_generator():
        if n % i == 0:
            ret.append(i)
            while n % i == 0:
                n = n // i
        if n == 1:
            break
    if n > 1:
        ret.append(n)
    return ret


def solve(n, aaa):
    g = abs(aaa[-1])
    for a in aaa[:-1]:
        if a != 0:
            g = gcd(g, abs(a))
    ans = set(prime(g))

    for p in eratosthenes_generator():
        if p > n + 2:
            break
        if p in ans or aaa[0] % p != 0:
            continue
        q = p - 1
        tmp = [0] * q
        for i, a in enumerate(aaa):
            tmp[i % q] += a
        if all(t % p == 0 for t in tmp):
            ans.add(p)

    ans = sorted(ans)
    return ans


n = int(input())
aaa = list(map(int, sys.stdin))
aaa.reverse()
print('\n'.join(map(str, solve(n, aaa))))


Fixed submission:
import sys
from fractions import gcd


def eratosthenes_generator():
    yield 2
    n = 3
    h = {}
    while True:
        m = n
        if n in h:
            b = h[n]
            del h[n]
        else:
            b = n
            yield n
        m += b << 1
        while m in h:
            m += b << 1
        h[m] = b
        n += 2


def prime(n):
    ret = []
    if n % 2 == 0:
        ret.append(2)
        while n % 2 == 0:
            n >>= 1
    for i in range(3, int(n ** 0.5) + 1, 2):
        if n % i == 0:
            ret.append(i)
            while n % i == 0:
                n = n // i
        if n == 1:
            break
    if n > 1:
        ret.append(n)
    return ret


def solve(n, aaa):
    g = abs(aaa[-1])
    for a in aaa[:-1]:
        if a != 0:
            g = gcd(g, abs(a))
    ans = set(prime(g))

    for p in eratosthenes_generator():
        if p > n + 2:
            break
        if p in ans or aaa[0] % p != 0:
            continue
        q = p - 1
        tmp = [0] * q
        for i, a in enumerate(aaa):
            tmp[i % q] += a
        if all(t % p == 0 for t in tmp):
            ans.add(p)

    ans = sorted(ans)
    return ans


n = int(input())
aaa = list(map(int, sys.stdin))
aaa.reverse()
print('\n'.join(map(str, solve(n, aaa))))

Buggy python submission (verdict: Runtime Error):
import sys
from fractions import gcd


def prime(n):
    ret = []
    for i in range(2, int(n ** 0.5) + 1):
        if n % i == 0:
            ret.append(i)
            while n % i == 0:
                n = n // i
        if n == 1:
            break
    if n > 1:
        ret.append(n)
    return ret


def solve(n, aaa):
    if n == 0:
        return prime(aaa[0])

    g = aaa[0]
    for a in aaa:
        g = gcd(g, a)
    ret = prime(g)
    if 2 not in ret and n % 2 == 0 and aaa[-1] % 2 == 0:
        ret = [2] + ret
    return ret


n = int(input())
aaa = list(map(int, sys.stdin))
ans = solve(n, aaa)
print('\n'.join(map(str, ans)))


Fixed submission:
import sys
from fractions import gcd


def eratosthenes_generator():
    yield 2
    n = 3
    h = {}
    while True:
        m = n
        if n in h:
            b = h[n]
            del h[n]
        else:
            b = n
            yield n
        m += b << 1
        while m in h:
            m += b << 1
        h[m] = b
        n += 2


def prime(n):
    ret = []
    if n % 2 == 0:
        ret.append(2)
        while n % 2 == 0:
            n >>= 1
    for i in range(3, int(n ** 0.5) + 1, 2):
        if n % i == 0:
            ret.append(i)
            while n % i == 0:
                n = n // i
        if n == 1:
            break
    if n > 1:
        ret.append(n)
    return ret


def solve(n, aaa):
    g = abs(aaa[-1])
    for a in aaa[:-1]:
        if a != 0:
            g = gcd(g, abs(a))
    ans = set(prime(g))

    for p in eratosthenes_generator():
        if p > n + 2:
            break
        if p in ans or aaa[0] % p != 0:
            continue
        q = p - 1
        tmp = [0] * q
        for i, a in enumerate(aaa):
            tmp[i % q] += a
        if all(t % p == 0 for t in tmp):
            ans.add(p)

    ans = sorted(ans)
    return ans


n = int(input())
aaa = list(map(int, sys.stdin))
aaa.reverse()
print('\n'.join(map(str, solve(n, aaa))))