Buggy python submission (verdict: Runtime Error):
import sys

MAX = 1000000


def digit_sum(n, b):
    if n == 0:
        return 0
    else:
        return digit_sum(n // b, b) + n % b


def main():
    n = int(input())
    s = int(input())

    if n < s:
        print(-1)
        sys.exit()

    ans = -1

    for b in range(2, min(n + 1, MAX) + 1):
        sm = digit_sum(n, b)
        if sm == s:
            ans = b
            break

    if not ans == -1:
        print(ans)
        sys.exit()

    if n + 1 <= MAX:
        print(-1)
        sys.exit()

    for p in reversed(range(MAX)):
        if (n - s) % p != 0:
            continue
        b = (n - s) // p + 1
        sm = digit_sum(n, b)
        if sm == s:
            ans = b
            break

    print(ans)


if __name__ == '__main__':
    main()


Fixed submission:
import sys

MAX = 1000000


def digit_sum(n, b):
    if n == 0:
        return 0
    else:
        return digit_sum(n // b, b) + n % b


def main():
    n = int(input())
    s = int(input())

    if n < s:
        print(-1)
        sys.exit()

    ans = -1

    for b in range(2, min(n + 1, MAX) + 1):
        sm = digit_sum(n, b)
        if sm == s:
            ans = b
            break

    if ans != -1:
        print(ans)
        sys.exit()

    if n + 1 <= MAX:
        print(-1)
        sys.exit()

    for p in reversed(range(1, MAX)):
        if (n - s) % p != 0:
            continue
        b = (n - s) // p + 1
        if b < 2:
            continue
        sm = digit_sum(n, b)
        if sm == s:
            ans = b
            break

    if ans != -1:
        print(ans)
        sys.exit()

    if n == s:
        print(n+1)
        sys.exit()

    print(-1)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Runtime Error):
import sys

MAX = 1000000


def digit_sum(n, b):
    if n == 0:
        return 0
    else:
        return digit_sum(n // b, b) + n % b


def main():
    n = int(input())
    s = int(input())

    if n < s:
        print(-1)
        sys.exit()

    ans = -1

    for b in range(2, min(n + 1, MAX) + 1):
        sm = digit_sum(n, b)
        if sm == s:
            ans = b
            break

    if not ans == -1:
        print(ans)
        sys.exit()

    if n + 1 <= MAX:
        print(-1)
        sys.exit()

    for p in reversed(range(MAX)):
        if (n - s) % p != 0:
            continue
        b = (n - s) / p + 1
        sm = digit_sum(n, b)
        if sm == s:
            ans = b
            break

    print(ans)


if __name__ == '__main__':
    main()


Fixed submission:
import sys

MAX = 1000000


def digit_sum(n, b):
    if n == 0:
        return 0
    else:
        return digit_sum(n // b, b) + n % b


def main():
    n = int(input())
    s = int(input())

    if n < s:
        print(-1)
        sys.exit()

    ans = -1

    for b in range(2, min(n + 1, MAX) + 1):
        sm = digit_sum(n, b)
        if sm == s:
            ans = b
            break

    if ans != -1:
        print(ans)
        sys.exit()

    if n + 1 <= MAX:
        print(-1)
        sys.exit()

    for p in reversed(range(1, MAX)):
        if (n - s) % p != 0:
            continue
        b = (n - s) // p + 1
        if b < 2:
            continue
        sm = digit_sum(n, b)
        if sm == s:
            ans = b
            break

    if ans != -1:
        print(ans)
        sys.exit()

    if n == s:
        print(n+1)
        sys.exit()

    print(-1)


if __name__ == '__main__':
    main()

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

MAX = 1000000


def digit_sum(n, b):
    if n == 0:
        return 0
    else:
        return digit_sum(n // b, b) + n % b


def main():
    n = int(input())
    s = int(input())

    if n < s:
        print(-1)
        sys.exit()

    ans = -1

    for b in range(2, max(n + 1, MAX) + 1):
        sm = digit_sum(n, b)
        if sm == s:
            ans = b
            break

    if not ans == -1:
        print(ans)
        sys.exit()

    if n + 1 <= MAX:
        print(-1)
        sys.exit()

    for p in reversed(range(MAX)):
        if (n - s) % p != 0:
            continue
        b = (n - s) / p + 1
        sm = digit_sum(n, b)
        if sm == s:
            ans = b
            break

    print(ans)


if __name__ == '__main__':
    main()


Fixed submission:
import sys

MAX = 1000000


def digit_sum(n, b):
    if n == 0:
        return 0
    else:
        return digit_sum(n // b, b) + n % b


def main():
    n = int(input())
    s = int(input())

    if n < s:
        print(-1)
        sys.exit()

    ans = -1

    for b in range(2, min(n + 1, MAX) + 1):
        sm = digit_sum(n, b)
        if sm == s:
            ans = b
            break

    if ans != -1:
        print(ans)
        sys.exit()

    if n + 1 <= MAX:
        print(-1)
        sys.exit()

    for p in reversed(range(1, MAX)):
        if (n - s) % p != 0:
            continue
        b = (n - s) // p + 1
        if b < 2:
            continue
        sm = digit_sum(n, b)
        if sm == s:
            ans = b
            break

    if ans != -1:
        print(ans)
        sys.exit()

    if n == s:
        print(n+1)
        sys.exit()

    print(-1)


if __name__ == '__main__':
    main()

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

MAX = 1000000


def digit_sum(n, b):
    if n == 0:
        return 0
    else:
        return digit_sum(n // b, b) + n % b


if __name__ == '__main__':
    n = int(input())
    s = int(input())

    if n < s:
        print(-1)
        sys.exit()

    ans = -1

    for b in range(2, max(n + 1, MAX) + 1):
        sm = digit_sum(n, b)
        if sm == s:
            ans = b
            break

    if not ans == -1:
        print(ans)
        sys.exit()

    if n + 1 <= MAX:
        print(-1)
        sys.exit()

    for p in reversed(range(MAX)):
        if (n - s) % p != 0:
            continue
        b = (n - s) / p + 1
        sm = digit_sum(n, b)
        if sm == s:
            ans = b
            break

    print(ans)


Fixed submission:
import sys

MAX = 1000000


def digit_sum(n, b):
    if n == 0:
        return 0
    else:
        return digit_sum(n // b, b) + n % b


def main():
    n = int(input())
    s = int(input())

    if n < s:
        print(-1)
        sys.exit()

    ans = -1

    for b in range(2, min(n + 1, MAX) + 1):
        sm = digit_sum(n, b)
        if sm == s:
            ans = b
            break

    if ans != -1:
        print(ans)
        sys.exit()

    if n + 1 <= MAX:
        print(-1)
        sys.exit()

    for p in reversed(range(1, MAX)):
        if (n - s) % p != 0:
            continue
        b = (n - s) // p + 1
        if b < 2:
            continue
        sm = digit_sum(n, b)
        if sm == s:
            ans = b
            break

    if ans != -1:
        print(ans)
        sys.exit()

    if n == s:
        print(n+1)
        sys.exit()

    print(-1)


if __name__ == '__main__':
    main()