Problem p03828 (python)

Fixed submission:
import math
import collections

def trial_division(n):
    #素因数を格納するリスト
    factor = []
    #2から√n以下の数字で割っていく
    tmp = int(math.sqrt(n)) + 1
    for num in range(2,tmp):
        while n % num == 0:
            n //= num
            factor.append(num)
    #リストが空ならそれは素数
    factor.append(n)
    return factor

n = int(input())
c = collections.Counter([])
for num in range(2, n+1):
  prime_list = trial_division(num)
  c.update(prime_list)
res = 1
for prime, count in c.most_common():
  if(prime > 1):
    res = res * (count + 1)
print(res % (pow(10,9) + 7))

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

def make_divisors(n):
    divisors = []
    hoge = 0
    if(n**0.5 > sys.maxint - 1):
      hoge = sys.maxint - 1
    else:
      hoge = int(n**0.5)
    for i in range(1, hoge+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    # divisors.sort()
    return divisors

n = int(input())
print(make_divisors(math.factorial(n)) % (pow(10,9) + 7))

Buggy submission (verdict: Runtime Error):
import math

def make_divisors(n):
  divisors = []
  for i in range(1, int(n**0.5)+1):
    if n % i == 0:
      divisors.append(i)
    if i != n // i:
      divisors.append(n//i)
      return divisors

num = int(input())
print(make_divisors(math.factorial(num)) % (pow(10,9) + 7))

Buggy submission (verdict: Runtime Error):
import math

def make_divisors(n):
	divisors = []
	for i in range(1, int(n**0.5)+1):
		if n % i == 0:
			divisors.append(i)
			if i != n // i:
				divisors.append(n//i)
	return divisors

num = int(input())
print(make_divisors(math.factorial(num)) % (pow(10,9) + 7))

Buggy submission (verdict: Runtime Error):
import math

def make_divisors(n):
	divisors = []
	for i in range(1, int(n**0.5)+1):
		if n % i == 0:
			divisors.append(i)
			if i != n // i:
				divisors.append(n//i)
	return divisors

n = int(input())
print(make_divisors(math.factorial(n)) % (pow(10,9) + 7))

Buggy submission (verdict: Runtime Error):
import math

def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    # divisors.sort()
    return divisors

n = int(input())
print(make_divisors(math.factorial(n)) % (pow(10,9) + 7))

Buggy submission (verdict: Runtime Error):
import math

def make_prime_list_2(num):
    if num < 2:
        return []
    prime_list = [i for i in range(num + 1)]
    prime_list[1] = 0
    num_sqrt = math.sqrt(num)

    for prime in prime_list:
        if prime == 0:
            continue
        if prime > num_sqrt:
            break

        for non_prime in range(2 * prime, num, prime):
            prime_list[non_prime] = 0

    return [prime for prime in prime_list if prime != 0]

def search_divisor_num(num):
    if num < 0:
        return None
    elif num == 1:
        return 1
    else:
        num_sqrt = int(math.floor(math.sqrt(num)))
        prime_list = make_prime_list_2(num_sqrt)

        divisor_num = 1
        for prime in prime_list:
            count = 1
            while num % prime == 0:
                num //= prime
                count += 1
            divisor_num *= count

        if num != 1:
            divisor_num *= 2

        return divisor_num

n = int(input())
print(search_divisor_num(math.factorial(n)) % (pow(10,9) + 7))

Buggy submission (verdict: Runtime Error):
n = int(input())

def make_prime_list_2(num):
    if num < 2:
        return []

    # 0のものは素数じゃないとする
    prime_list = [i for i in range(num + 1)]
    prime_list[1] = 0 # 1は素数ではない
    num_sqrt = math.sqrt(num)

    for prime in prime_list:
        if prime == 0:
            continue
        if prime > num_sqrt:
            break

        for non_prime in range(2 * prime, num, prime):
            prime_list[non_prime] = 0

    return [prime for prime in prime_list if prime != 0]

def search_divisor_num(num):
    if num < 0:
        return None
    elif num == 1:
        return 1
    else:
        num_sqrt = math.floor(math.sqrt(num))
        prime_list = make_prime_list_2(num_sqrt)

        divisor_num = 1
        for prime in prime_list:
            count = 1
            while num % prime == 0:
                num //= prime
                count += 1
            divisor_num *= count

        if num != 1:
            divisor_num *= 2

        return divisor_num
print(search_divisor_num(n) % (pow(10,9) + 7))

Buggy submission (verdict: Runtime Error):
n = int(input())

def search_divisor_num_1(num):
    if num < 0:
        return None
    elif num == 1:
        return 1
    else:
        num_sqrt = math.floor(math.sqrt(num))
        prime_list = make_prime_list_2(num_sqrt)

        divisor_num = 1
        for prime in prime_list:
            count = 1
            while num % prime == 0:
                num //= prime
                count += 1
            divisor_num *= count

        if num != 1:
            divisor_num *= 2

        return divisor_num
print(search_divisor_num_1(n) % (pow(10,9) + 7))