Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())

MOD = 10 ** 9 + 7


def prime_counter(n):
    ret = []
    for i in range(2, int(n / 2) + 2):
        count = 0
        while n % i == 0:
            n /= i
            count += 1
        if 0 < count:
            ret.append(count)
        if n == 1:
            break
    if 1 < n:
        ret.append(1)
    return ret


def comb(n, r):
    r = min(r, n - r)
    if r == 0:
        return 1
    elif r == 1:
        return n
    return (n % MOD) * pow(r, MOD - 2, MOD) * comb(n - 1, r - 1) % MOD


factnum = prime_counter(M)
ans = 1

for p in factnum:
    ans *= comb(p + N - 1, p)

ans %= MOD
print(ans)


Fixed submission:
MOD = 10 ** 9 + 7

N, M = map(int, input().split())

f = []
p = 2
while p * p <= M:
    if M % p != 0:
        p += 1
        continue
    c = 0
    while M % p == 0:
        c += 1
        M //= p
    f.append(c)
    p += 1
if M != 1:
    f.append(1)

ans = 1
for i in f:
    c = 1
    for j in range(i):
        c = c * (N + j) // (j + 1)
    ans = ans * c % MOD
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())

MOD = 10 ** 9 + 7


def prime_counter(n):
    ret = []
    for i in range(2, int(n / 2) + 2):
        count = 0
        while n % i == 0:
            n /= i
            count += 1
        if 0 < count:
            ret.append(count)
        if n == 1:
            break
    if 1 < n:
        ret.append(1)
    return ret


def comb(n, r):
    r = min(r, n - r)
    if r == 0:
        return 1
    elif r == 1:
        return n
    return (n % MOD) * pow(r, MOD - 2, MOD) * comb(n - 1, r - 1) % MOD


factnum = prime_counter(M)
ans = 1

for i, p in enumerate(factnum):
    ans *= comb(p + N - 1, p)

ans %= MOD
print(ans)


Fixed submission:
MOD = 10 ** 9 + 7

N, M = map(int, input().split())

f = []
p = 2
while p * p <= M:
    if M % p != 0:
        p += 1
        continue
    c = 0
    while M % p == 0:
        c += 1
        M //= p
    f.append(c)
    p += 1
if M != 1:
    f.append(1)

ans = 1
for i in f:
    c = 1
    for j in range(i):
        c = c * (N + j) // (j + 1)
    ans = ans * c % MOD
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())

MOD = 10 ** 9 + 7


def prime_counter(n):
    ret = []
    for i in range(2, int(n / 2) + 1):
        count = 0
        while n % i == 0:
            n /= i
            count += 1
        if 0 < count:
            ret.append(count)
        if n == 1:
            break
    if 1 < n:
        ret.append(1)
    return ret


def comb(n, r):
    r = min(r, n - r)
    if r == 0:
        return 1
    elif r == 1:
        return n
    return (n % MOD) * pow(r, MOD - 2, MOD) * comb(n - 1, r - 1) % MOD


factnum = prime_counter(M)
ans = 1

for i, p in enumerate(factnum):
    ans *= comb(p + N - 1, p)

ans %= MOD
print(ans)


Fixed submission:
MOD = 10 ** 9 + 7

N, M = map(int, input().split())

f = []
p = 2
while p * p <= M:
    if M % p != 0:
        p += 1
        continue
    c = 0
    while M % p == 0:
        c += 1
        M //= p
    f.append(c)
    p += 1
if M != 1:
    f.append(1)

ans = 1
for i in f:
    c = 1
    for j in range(i):
        c = c * (N + j) // (j + 1)
    ans = ans * c % MOD
print(ans)

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

MOD = 1000000007
MAX = 2000000010


def comb(n, r):
    return math.factorial(n) // math.factorial(n - r) // math.factorial(r)


def count_div(n):
    fact = []
    count = 0
    i = 2
    while (n != 1):
        while (n % i == 0):
            n = int(n / i)
            count += 1
        fact.append(count)
        count = 0
        i += 1
    return fact


def main():
    N, M = map(int, input().split())
    ans = 1
    fact = count_div(M)
    for i, p in enumerate(fact):
        ans *= comb(p + N - 1, p)
    return ans % MOD


print(main())

Fixed submission:
MOD = 10 ** 9 + 7

N, M = map(int, input().split())

f = []
p = 2
while p * p <= M:
    if M % p != 0:
        p += 1
        continue
    c = 0
    while M % p == 0:
        c += 1
        M //= p
    f.append(c)
    p += 1
if M != 1:
    f.append(1)

ans = 1
for i in f:
    c = 1
    for j in range(i):
        c = c * (N + j) // (j + 1)
    ans = ans * c % MOD
print(ans)