Problem p03241 (python)

Fixed submission:
import sys
from collections import deque
import copy
import math
import numpy as np

def get_read_func(fileobject):
    if fileobject == None :
        return raw_input
    else:
        return fileobject.readline

def divisor_sub(p, q):
    a = []
    for i in xrange(0, q + 1):
        a.append(p ** i)
    return a

def factorization(n):
    def factor_sub(n, m):
        c = 0
        while n % m == 0:
            c += 1
            n /= m
        return c, n
    #
    buff = []
    c, m = factor_sub(n, 2)
    if c > 0: buff.append((2, c))
    c, m = factor_sub(m, 3)
    if c > 0: buff.append((3, c))
    x = 5
    while m >= x * x:
        c, m = factor_sub(m, x)
        if c > 0: buff.append((x, c))
        if x % 6 == 5:
            x += 2
        else:
            x += 4
    if m > 1: buff.append((m, 1))
    return buff

def divisor(n):
    xs = factorization(n)
    ys = divisor_sub(xs[0][0], xs[0][1])
    for p, q in xs[1:]:
        ys = [x * y for x in divisor_sub(p, q) for y in ys]
    return sorted(ys)

def is_prime(x):
    if x < 2: return False
    if x == 2 or x == 3 or x == 5: return True
    if x % 2 == 0 or x % 3 == 0 or x % 5 == 0: return False
    prime = 7
    step = 4
    while prime <= math.sqrt(x):
        if x % prime == 0: return False

        prime += step
        step = 6 - step

    return True


def main():
    if len(sys.argv) > 1:
        f = open(sys.argv[1])
    else:
        f = None
    read_func = get_read_func(f);
    input_raw = read_func().strip().split()
    [N, M] = [int(input_raw[0]), int(input_raw[1])]
    if N == 1:
        print M
        exit()
    if is_prime(M):
        print 1
        exit()
    div_list = divisor(M)
    div_list.sort(reverse = True)

    for num in div_list:
        if M % num == 0 and M/num >= N:
            print num
            exit()


if __name__ == '__main__':
    main()

Buggy submission (verdict: Runtime Error):
import sys
from collections import deque
import copy
import math


def get_read_func(fileobject):
    if fileobject == None :
        return raw_input
    else:
        return fileobject.readline

def make_divisor_list(num):
    if num < 1:
        return []
    elif num == 1:
        return [1]
    else:
        divisor_list = []
        divisor_list.append(1)
        for i in range(2, min(num // 2, 100000) + 1):
            if num % i == 0:
                divisor_list.append(i)
        divisor_list.append(num)

        return divisor_list

def is_prime(x):
    if x < 2: return False # 2未満に素数はない
    if x == 2 or x == 3 or x == 5: return True
    if x % 2 == 0 or x % 3 == 0 or x % 5 == 0: return False
    prime = 7
    step = 4
    while prime <= math.sqrt(x):
        if x % prime == 0: return False

        prime += step
        step = 6 - step

    return True


def main():
    if len(sys.argv) > 1:
        f = open(sys.argv[1])
    else:
        f = None
    read_func = get_read_func(f);
    input_raw = read_func().strip().split()
    [N, M] = [int(input_raw[0]), int(input_raw[1])]
    if N == 1:
        print M
        exit()
    if is_prime(M):
        print 1
        exit()

    for num in range(M/N, 0, -1):
        if M % num == 0 and M/num >= N:
            print num
            exit()


if __name__ == '__main__':
    main()

Buggy submission (verdict: Runtime Error):
import sys
from collections import deque
import copy
import math
import numpy as np

def get_read_func(fileobject):
    if fileobject == None :
        return raw_input
    else:
        return fileobject.readline

def make_divisor_list(num):
    if num < 1:
        return []
    elif num == 1:
        return [1]
    else:
        divisor_list = []
        divisor_list.append(1)
        for i in range(2, min(num // 2, 100000) + 1):
            if num % i == 0:
                divisor_list.append(i)
        divisor_list.append(num)

        return divisor_list

def is_prime(x):
    if x < 2: return False # 2未満に素数はない
    if x == 2 or x == 3 or x == 5: return True
    if x % 2 == 0 or x % 3 == 0 or x % 5 == 0: return False
    prime = 7
    step = 4
    while prime <= math.sqrt(x):
        if x % prime == 0: return False

        prime += step
        step = 6 - step

    return True


def main():
    if len(sys.argv) > 1:
        f = open(sys.argv[1])
    else:
        f = None
    read_func = get_read_func(f);
    input_raw = read_func().strip().split()
    [N, M] = [int(input_raw[0]), int(input_raw[1])]
    if N == 1:
        print M
        exit()
    if is_prime(M):
        print 1
        exit()

    for num in range(M/N, 0, -1):
        if M % num == 0 and M/num >= N:
            print num
            exit()


if __name__ == '__main__':
    main()

Buggy submission (verdict: Runtime Error):

import sys
from collections import deque
import copy

def get_read_func(fileobject):
    if fileobject == None :
        return raw_input
    else:
        return fileobject.readline

def make_divisor_list(num):
    if num < 1:
        return []
    elif num == 1:
        return [1]
    else:
        divisor_list = []
        divisor_list.append(1)
        for i in range(2, min(num // 2, 100000) + 1):
            if num % i == 0:
                divisor_list.append(i)
        divisor_list.append(num)

        return divisor_list


def main():
    if len(sys.argv) > 1:
        f = open(sys.argv[1])
    else:
        f = None
    read_func = get_read_func(f);
    input_raw = read_func().strip().split()
    [N, M] = [int(input_raw[0]), int(input_raw[1])]

    for num in range(M/N, 0, -1):
        if M % num == 0 and M/num >= N:
            print num
            exit()


if __name__ == '__main__':
    main()