Buggy python submission (verdict: Time Limit Exceeded):
def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a

def main():
    N = int(input())

    x = prime_factorize(N)
    D = []
    for i in range(2 ** len(x)):
        a = format(i, '0{}b'.format(len(x)))
        D.append(a)

    # print(x)
    # print(D)

    mn = 1 + N
    for di in D:
        a = 1
        b = 1
        for i, dii in enumerate(di):
            if dii == '0':
                a = a * x[i]
            else:
                b = b * x[i]

            if a + b > mn:
                break
        mn = min(mn, a + b)
    print(mn - 2)

if __name__ == "__main__":
    main()

Fixed submission:
from math import sqrt, floor

def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a

def main():
    N = int(input())

    # x = prime_factorize(N)
    # D = []
    # for i in range(2 ** len(x)):
    #     a = format(i, '0{}b'.format(len(x)))
    #     D.append(a)

    # mn = 1 + N
    # for di in D:
    #     a = 1
    #     b = 1
    #     for i, dii in enumerate(di):
    #         if dii == '0':
    #             a = a * x[i]
    #         else:
    #             b = b * x[i]
    #     mn = min(mn, a + b)
    # print(mn - 2)

    NN = floor(sqrt(N))
    mn = N + 100
    for i in range(1, NN + 1):
        if N % i == 0:
            a = i
            b = N // i
            # print(a, b)
            mn = min(mn, a + b)

    print(mn - 2)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a

def main():
    N = int(input())

    x = prime_factorize(N)
    D = []
    for i in range(2 ** len(x)):
        a = format(i, '0{}b'.format(len(x)))
        D.append(a)

    # print(x)
    # print(D)

    mn = 1 + N
    for di in D:
        a = 1
        b = 1
        for i, dii in enumerate(di):
            if dii == '0':
                a = a * x[i]
            else:
                b = b * x[i]

            if a + b > mn:
                continue
        mn = min(mn, a + b)
    print(mn - 2)

if __name__ == "__main__":
    main()

Fixed submission:
from math import sqrt, floor

def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a

def main():
    N = int(input())

    # x = prime_factorize(N)
    # D = []
    # for i in range(2 ** len(x)):
    #     a = format(i, '0{}b'.format(len(x)))
    #     D.append(a)

    # mn = 1 + N
    # for di in D:
    #     a = 1
    #     b = 1
    #     for i, dii in enumerate(di):
    #         if dii == '0':
    #             a = a * x[i]
    #         else:
    #             b = b * x[i]
    #     mn = min(mn, a + b)
    # print(mn - 2)

    NN = floor(sqrt(N))
    mn = N + 100
    for i in range(1, NN + 1):
        if N % i == 0:
            a = i
            b = N // i
            # print(a, b)
            mn = min(mn, a + b)

    print(mn - 2)

if __name__ == "__main__":
    main()

Buggy python submission (verdict: Time Limit Exceeded):
def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a

def main():
    N = int(input())

    x = prime_factorize(N)
    D = []
    for i in range(2 ** len(x)):
        a = format(i, '0{}b'.format(len(x)))
        D.append(a)

    # print(x)
    # print(D)

    mn = 1 + N
    for di in D:
        a = 1
        b = 1
        for i, dii in enumerate(di):
            if dii == '0':
                a = a * x[i]
            else:
                b = b * x[i]
        # print(a, b)
        mn = min(mn, a + b)
    print(mn - 2)

if __name__ == "__main__":
    main()

Fixed submission:
from math import sqrt, floor

def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a

def main():
    N = int(input())

    # x = prime_factorize(N)
    # D = []
    # for i in range(2 ** len(x)):
    #     a = format(i, '0{}b'.format(len(x)))
    #     D.append(a)

    # mn = 1 + N
    # for di in D:
    #     a = 1
    #     b = 1
    #     for i, dii in enumerate(di):
    #         if dii == '0':
    #             a = a * x[i]
    #         else:
    #             b = b * x[i]
    #     mn = min(mn, a + b)
    # print(mn - 2)

    NN = floor(sqrt(N))
    mn = N + 100
    for i in range(1, NN + 1):
        if N % i == 0:
            a = i
            b = N // i
            # print(a, b)
            mn = min(mn, a + b)

    print(mn - 2)

if __name__ == "__main__":
    main()