Buggy python submission (verdict: Time Limit Exceeded):
class Calc:
    def __init__(self, max_value, mod):
        """combination(max_value, all)"""
        fact = [-1] * (max_value + 1)
        fact[0] = 1
        fact[1] = 1
        for x in range(2, max_value + 1):
            fact[x] = x * fact[x - 1] % mod

        invs = [1] * (max_value + 1)
        invs[max_value] = pow(fact[max_value], mod - 2, mod)
        for x in range(max_value - 1, 0, -1):
            invs[x] = invs[x + 1] * (x + 1) % mod

        self.fact = fact
        self.invs = invs
        self.mod = mod

    def combination(self, n, r):
        if n - r < r:
            return self.combination(n, n - r)
        if r < 0:
            return 0
        if r == 0:
            return 1
        if r == 1:
            return n
        return self.fact[n] * self.invs[r] * self.invs[n - r] % self.mod


def main():
    MOD = 10 ** 9 + 7

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

    def decom(n) -> list:
        ret = []

        d = 2
        cnt = 0
        while n % d == 0:
            n //= d
            cnt += 1
        ret.append(cnt)

        d = 3
        while n > 1:
            cnt = 0
            while n % d == 0:
                n //= d
                cnt += 1
            ret.append(cnt)
            d += 2

        return ret

    dlis = decom(M)

    cal = Calc(max_value=N + 30, mod=MOD)

    ans = 1
    for cnt in dlis:
        ans = (ans * cal.combination(N + cnt - 1, cnt)) % MOD
    print(ans)


if __name__ == '__main__':
    main()


Fixed submission:
MOD = 10 ** 9 + 7


def prime_factorization(n):
    i = 2
    res = []
    while i * i <= n:
        cnt = 0
        while n % i == 0:
            n /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        i += 1
    if n > 1:
        res.append(1)
    return res


def comb(a, b):
    b = min(b, a - b)
    if b < 0:
        return 0
    elif b == 0:
        return 1
    elif b == 1:
        return a
    else:
        return (a % MOD) * pow(b, MOD - 2, MOD) % MOD * comb(a - 1, b - 1) % MOD


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

ans = 1
for power in prime_factorization(M):
    ans *= comb(N - 1 + power, power)
    ans %= MOD

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
class Calc:
    def __init__(self, max_value, mod):
        """combination(max_value, all)"""
        fact = [-1] * (max_value + 1)
        fact[0] = 1
        fact[1] = 1
        for x in range(2, max_value + 1):
            fact[x] = x * fact[x - 1] % mod

        invs = [1] * (max_value + 1)
        invs[max_value] = pow(fact[max_value], mod - 2, mod)
        for x in range(max_value - 1, 0, -1):
            invs[x] = invs[x + 1] * (x + 1) % mod

        self.fact = fact
        self.invs = invs
        self.mod = mod

    def combination(self, n, r):
        if n - r < r:
            return self.combination(n, n - r)
        if r < 0:
            return 0
        if r == 0:
            return 1
        if r == 1:
            return n
        return self.fact[n] * self.invs[r] * self.invs[n - r] % self.mod


def main():
    MOD = 10 ** 9 + 7

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

    def decom(n) -> list:
        ret = []

        d = 2
        cnt = 0
        while n % d == 0:
            n //= d
            cnt += 1
        ret.append((d, cnt))

        d = 3
        while n > 1:
            cnt = 0
            while n % d == 0:
                n //= d
                cnt += 1
            ret.append((d, cnt))
            d += 1

        return ret

    dlis = decom(M)

    cal = Calc(max_value=N + 30, mod=MOD)

    ans = 1
    for _, cnt in dlis:
        ans = (ans * cal.combination(N + cnt - 1, cnt)) % MOD
    print(ans)


if __name__ == '__main__':
    main()


Fixed submission:
MOD = 10 ** 9 + 7


def prime_factorization(n):
    i = 2
    res = []
    while i * i <= n:
        cnt = 0
        while n % i == 0:
            n /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        i += 1
    if n > 1:
        res.append(1)
    return res


def comb(a, b):
    b = min(b, a - b)
    if b < 0:
        return 0
    elif b == 0:
        return 1
    elif b == 1:
        return a
    else:
        return (a % MOD) * pow(b, MOD - 2, MOD) % MOD * comb(a - 1, b - 1) % MOD


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

ans = 1
for power in prime_factorization(M):
    ans *= comb(N - 1 + power, power)
    ans %= MOD

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
if __name__ == '__main__':
    mod = 10 ** 9 + 7
    n, m = map(int, input().split())

    pow_ = [0] * 31
    divisor = 2
    power = 0
    while m % divisor == 0:
        m //= divisor
        power += 1
    if power > 0:
        pow_[power] += 1

    divisor = 3
    while m > 1:
        power = 0
        while m % divisor == 0:
            m //= divisor
            power += 1
        if power > 0:
            pow_[power] += 1
        divisor += 2

    # print(pow_)

    ans = 1
    t = 1
    d = 1
    for power, cnt in enumerate(pow_[1:], 1):
        # 1 <= power <= 30
        t = t * (n - 1 + power) % mod
        d = d * pow(power, mod - 2, mod) % mod
        # print(power, cnt, ans, t, d)
        ans = ans * pow(t * d % mod, cnt, mod) % mod
        # for _ in range(cnt):
        #     ans = ans * t * d % mod
    print(ans)


Fixed submission:
MOD = 10 ** 9 + 7


def prime_factorization(n):
    i = 2
    res = []
    while i * i <= n:
        cnt = 0
        while n % i == 0:
            n /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        i += 1
    if n > 1:
        res.append(1)
    return res


def comb(a, b):
    b = min(b, a - b)
    if b < 0:
        return 0
    elif b == 0:
        return 1
    elif b == 1:
        return a
    else:
        return (a % MOD) * pow(b, MOD - 2, MOD) % MOD * comb(a - 1, b - 1) % MOD


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

ans = 1
for power in prime_factorization(M):
    ans *= comb(N - 1 + power, power)
    ans %= MOD

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
if __name__ == '__main__':
    mod = 10 ** 9 + 7
    n, m = map(int, input().split())

    pow_ = [0] * 31
    divisor = 2
    power = 0
    while m % divisor == 0:
        m //= divisor
        power += 1
    if power > 0:
        pow_[power] += 1

    divisor = 3
    while m > 1:
        power = 0
        while m % divisor == 0:
            m //= divisor
            power += 1
        if power > 0:
            pow_[power] += 1
        divisor += 2

    # print(pow_)

    ans = 1
    t = 1
    d = 1
    for power, cnt in enumerate(pow_[1:], 1):
        # 1 <= power <= 30
        t = t * (n - 1 + power) % mod
        d = d * pow(power, mod - 2, mod) % mod
        # print(power, cnt, ans, t, d)
        ans = ans * pow(t * d, cnt, mod) % mod
        # for _ in range(cnt):
        #     ans = ans * t * d % mod
    print(ans)


Fixed submission:
MOD = 10 ** 9 + 7


def prime_factorization(n):
    i = 2
    res = []
    while i * i <= n:
        cnt = 0
        while n % i == 0:
            n /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        i += 1
    if n > 1:
        res.append(1)
    return res


def comb(a, b):
    b = min(b, a - b)
    if b < 0:
        return 0
    elif b == 0:
        return 1
    elif b == 1:
        return a
    else:
        return (a % MOD) * pow(b, MOD - 2, MOD) % MOD * comb(a - 1, b - 1) % MOD


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

ans = 1
for power in prime_factorization(M):
    ans *= comb(N - 1 + power, power)
    ans %= MOD

print(ans)

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

sys.setrecursionlimit(10 ** 7)
mod = 10 ** 9 + 7
n, m = map(int, input().split())

pow_ = [0] * 31
divisor = 2
power = 0
while m % divisor == 0:
    m //= divisor
    power += 1
if power > 0:
    pow_[power] += 1

divisor = 3
while m > 1:
    power = 0
    while m % divisor == 0:
        m //= divisor
        power += 1
    if power > 0:
        pow_[power] += 1
    divisor += 2

# print(pow_)

ans = 1
t = 1
d = 1
for power, cnt in enumerate(pow_[1:], 1):
    # 1 <= power <= 30
    t = t * (n - 1 + power) % mod
    d = d * pow(power, mod - 2, mod) % mod
    # print(power, cnt, ans, t, d)
    for _ in range(cnt):
        ans = ans * t * d % mod
print(ans)


Fixed submission:
MOD = 10 ** 9 + 7


def prime_factorization(n):
    i = 2
    res = []
    while i * i <= n:
        cnt = 0
        while n % i == 0:
            n /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        i += 1
    if n > 1:
        res.append(1)
    return res


def comb(a, b):
    b = min(b, a - b)
    if b < 0:
        return 0
    elif b == 0:
        return 1
    elif b == 1:
        return a
    else:
        return (a % MOD) * pow(b, MOD - 2, MOD) % MOD * comb(a - 1, b - 1) % MOD


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

ans = 1
for power in prime_factorization(M):
    ans *= comb(N - 1 + power, power)
    ans %= MOD

print(ans)

Buggy python submission (verdict: Runtime Error):
from collections import defaultdict

mod = 10 ** 9 + 7


def cmb(n, r):
    if n < r:
        return 0  # <-直した
    if r > n - r:
        return cmb(n, n - r)
    if r == 0:
        return 1
    if r == 1:
        return n
    res = f[n]
    res *= invs[r]
    res %= mod
    res *= invs[n - r]
    res %= mod
    return res


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

x = M
i = 2
while i * i <= M:
    t = 0
    while x % i == 0:
        x //= i
        t += 1
    if t > 0:
        d[i] = t
    i += 1
if x > 1:
    d[x] = 1

max_v = max(d.values())

f = [-1] * (N - 1 + max_v + 1)
f[0] = 1
t = 1
for i in range(1, N - 1 + max_v + 1):
    t *= i
    t %= mod
    f[i] = t

# print(d)

inv = pow(t, mod - 2, mod)
invs = [-1] * (N - 1 + max_v + 1)
invs[N - 1 + max_v] = inv
for i in range(N - 1 + max_v - 1, 0, -1):
    inv *= (i + 1)  # <-直した
    inv %= mod
    invs[i] = inv

ans = 1
for cnt in d.values():
    ans *= cmb(N - 1 + cnt, cnt)
    ans %= mod
print(ans)


Fixed submission:
MOD = 10 ** 9 + 7


def prime_factorization(n):
    i = 2
    res = []
    while i * i <= n:
        cnt = 0
        while n % i == 0:
            n /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        i += 1
    if n > 1:
        res.append(1)
    return res


def comb(a, b):
    b = min(b, a - b)
    if b < 0:
        return 0
    elif b == 0:
        return 1
    elif b == 1:
        return a
    else:
        return (a % MOD) * pow(b, MOD - 2, MOD) % MOD * comb(a - 1, b - 1) % MOD


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

ans = 1
for power in prime_factorization(M):
    ans *= comb(N - 1 + power, power)
    ans %= MOD

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
def comb(a, b):
    b = min(b, a - b)

    res = 1
    for i in range(b):
        res *= (a - i)
        res %= MOD

    for div in range(1, b + 1):
        res = res * pow(div, MOD - 2, MOD) % MOD
    return res


def prime_factorization(x):
    res = []
    i = 2
    left = x + 0
    while True:
        if (i * i > x) and (left == 1):
            break
        cnt = 0
        while left % i == 0:
            left /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        # print(i, res)
        i += 1
    return res


n, m = map(int, input().split())

MOD = 10 ** 9 + 7

ans = 1
for power in prime_factorization(m):
    ans *= comb(n - 1 + power, power)
    ans %= MOD

print(ans)

Fixed submission:
MOD = 10 ** 9 + 7


def prime_factorization(n):
    i = 2
    res = []
    while i * i <= n:
        cnt = 0
        while n % i == 0:
            n /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        i += 1
    if n > 1:
        res.append(1)
    return res


def comb(a, b):
    b = min(b, a - b)
    if b < 0:
        return 0
    elif b == 0:
        return 1
    elif b == 1:
        return a
    else:
        return (a % MOD) * pow(b, MOD - 2, MOD) % MOD * comb(a - 1, b - 1) % MOD


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

ans = 1
for power in prime_factorization(M):
    ans *= comb(N - 1 + power, power)
    ans %= MOD

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
def comb(a, b):
    if b > a - b:
        return comb(a, a - b)
    mul = 1
    div = 1
    for i in range(b):
        mul *= (a - i)
        mul %= MOD

        div *= (i + 1)
        div %= MOD
    res = mul * pow(div, MOD - 2, MOD) % MOD
    return res


def prime_factorization(x):
    res = []
    i = 2
    left = x + 0
    while True:
        if (i * i > x) and (left == 1):
            break
        cnt = 0
        while left % i == 0:
            left /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        # print(i, res)
        i += 1
    return res


n, m = map(int, input().split())

MOD = 10 ** 9 + 7

ans = 1
for power in prime_factorization(m):
    ans *= comb(n - 1 + power, power)
ans %= MOD

print(ans)

Fixed submission:
MOD = 10 ** 9 + 7


def prime_factorization(n):
    i = 2
    res = []
    while i * i <= n:
        cnt = 0
        while n % i == 0:
            n /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        i += 1
    if n > 1:
        res.append(1)
    return res


def comb(a, b):
    b = min(b, a - b)
    if b < 0:
        return 0
    elif b == 0:
        return 1
    elif b == 1:
        return a
    else:
        return (a % MOD) * pow(b, MOD - 2, MOD) % MOD * comb(a - 1, b - 1) % MOD


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

ans = 1
for power in prime_factorization(M):
    ans *= comb(N - 1 + power, power)
    ans %= MOD

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
def mod_power(a, f_power):
    """
    a の p 乗を求めるアルゴリズム
    計算量はO(log(f_power))
    """
    if f_power == 0:
        return 1
    if f_power % 2 == 0:
        half = mod_power(a, f_power / 2)
        # half : a ** (power /2) の 2乗で a ** power を求める
        return half * half % MOD
    else:
        return a * mod_power(a, f_power - 1) % MOD


def comb(a, b):
    if b > a - b:
        return comb(a, a - b)
    # res = 1
    mul = 1
    div = 1
    for i in range(b):
        # res *= (a - i)
        # res /= (i + 1)
        mul *= (a - i)
        # mul %= MOD

        div *= (i + 1)
        # div %= MOD
    res = mul * mod_power(div, MOD - 2) % MOD
    return res


def prime_factorization(x):
    res = []
    i = 2
    left = x + 0
    while True:
        if (i * i > x) and (left == 1):
            break
        cnt = 0
        while left % i == 0:
            left /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        # print(i, res)
        i += 1
    return res


n, m = map(int, input().split())

MOD = 10 ** 9 + 7

ans = 1
for power in prime_factorization(m):
    ans *= comb(n - 1 + power, power)
ans %= MOD

print(ans)
# print(prime_factorization(6))

Fixed submission:
MOD = 10 ** 9 + 7


def prime_factorization(n):
    i = 2
    res = []
    while i * i <= n:
        cnt = 0
        while n % i == 0:
            n /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        i += 1
    if n > 1:
        res.append(1)
    return res


def comb(a, b):
    b = min(b, a - b)
    if b < 0:
        return 0
    elif b == 0:
        return 1
    elif b == 1:
        return a
    else:
        return (a % MOD) * pow(b, MOD - 2, MOD) % MOD * comb(a - 1, b - 1) % MOD


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

ans = 1
for power in prime_factorization(M):
    ans *= comb(N - 1 + power, power)
    ans %= MOD

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
def mod_power(a, f_power):
    """
    a の p 乗を求めるアルゴリズム
    計算量はO(log(f_power))
    """
    if f_power == 0:
        return 1
    if f_power % 2 == 0:
        half = mod_power(a, f_power / 2)
        # half : a ** (power /2) の 2乗で a ** power を求める
        return half * half % MOD
    else:
        return a * mod_power(a, f_power - 1) % MOD


def comb(a, b):
    if b > a - b:
        return comb(a, a - b)
    # res = 1
    mul = 1
    div = 1
    for i in range(b):
        # res *= (a - i)
        # res /= (i + 1)
        mul *= (a - i)
        mul %= MOD

        div *= (i + 1)
        div %= MOD
    res = mul * mod_power(div, MOD - 2) % MOD
    return res


n, m = map(int, input().split())

MOD = 10 ** 9 + 7

ans = 1
i = 2
left = m + 0
while True:
    if (i * i > m) and (left == 1):
        break
    power = 0
    while left % i == 0:
        left /= i
        power += 1
    if power > 0:
        ans *= comb(n - 1 + power, power)
    i += 1

ans %= MOD

print(ans)

Fixed submission:
MOD = 10 ** 9 + 7


def prime_factorization(n):
    i = 2
    res = []
    while i * i <= n:
        cnt = 0
        while n % i == 0:
            n /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        i += 1
    if n > 1:
        res.append(1)
    return res


def comb(a, b):
    b = min(b, a - b)
    if b < 0:
        return 0
    elif b == 0:
        return 1
    elif b == 1:
        return a
    else:
        return (a % MOD) * pow(b, MOD - 2, MOD) % MOD * comb(a - 1, b - 1) % MOD


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

ans = 1
for power in prime_factorization(M):
    ans *= comb(N - 1 + power, power)
    ans %= MOD

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from functools import lru_cache


@lru_cache()
def mod_power(a, f_power):
    """
    a の p 乗を求めるアルゴリズム
    計算量はO(log(f_power))
    """
    if f_power == 0:
        return 1
    if f_power % 2 == 0:
        half = mod_power(a, f_power / 2)
        # half : a ** (power /2) の 2乗で a ** power を求める
        return half * half % MOD
    else:
        return a * mod_power(a, f_power - 1) % MOD


@lru_cache()
def comb(a, b):
    if b > a - b:
        return comb(a, a - b)
    # res = 1
    mul = 1
    div = 1
    for i in range(b):
        # res *= (a - i)
        # res /= (i + 1)
        mul *= (a - i)
        mul %= MOD

        div *= (i + 1)
        div %= MOD
    res = mul * mod_power(div, MOD - 2) % MOD
    return res


def prime_factorization(x):
    res = []
    i = 2
    left = x + 0
    while True:
        if (i * i > x) and (left == 1):
            break
        cnt = 0
        while left % i == 0:
            left /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        # print(i, res)
        i += 1
    return res


n, m = map(int, input().split())

MOD = 10 ** 9 + 7

ans = 1
for power in prime_factorization(m):
    ans *= comb(n - 1 + power, power)
ans %= MOD

print(ans)
# print(prime_factorization(6))

Fixed submission:
MOD = 10 ** 9 + 7


def prime_factorization(n):
    i = 2
    res = []
    while i * i <= n:
        cnt = 0
        while n % i == 0:
            n /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        i += 1
    if n > 1:
        res.append(1)
    return res


def comb(a, b):
    b = min(b, a - b)
    if b < 0:
        return 0
    elif b == 0:
        return 1
    elif b == 1:
        return a
    else:
        return (a % MOD) * pow(b, MOD - 2, MOD) % MOD * comb(a - 1, b - 1) % MOD


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

ans = 1
for power in prime_factorization(M):
    ans *= comb(N - 1 + power, power)
    ans %= MOD

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
def mod_power(a, f_power):
    """
    a の p 乗を求めるアルゴリズム
    計算量はO(log(f_power))
    """
    if f_power == 0:
        return 1
    if f_power % 2 == 0:
        half = mod_power(a, f_power / 2)
        # half : a ** (power /2) の 2乗で a ** power を求める
        return half * half % MOD
    else:
        return a * mod_power(a, f_power - 1) % MOD


def comb(a, b):
    if b > a - b:
        return comb(a, a - b)
    # res = 1
    mul = 1
    div = 1
    for i in range(b):
        # res *= (a - i)
        # res /= (i + 1)
        mul *= (a - i)
        mul %= MOD

        div *= (i + 1)
        div %= MOD
    res = mul * mod_power(div, MOD - 2) % MOD
    return res


def prime_factorization(x):
    res = []
    i = 2
    left = x + 0
    while True:
        if (i * i > x) and (left == 1):
            break
        cnt = 0
        while left % i == 0:
            left /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        # print(i, res)
        i += 1
    return res


n, m = map(int, input().split())

MOD = 10 ** 9 + 7

ans = 1
for power in prime_factorization(m):
    ans *= comb(n - 1 + power, power)
ans %= MOD

print(ans)
# print(prime_factorization(6))

Fixed submission:
MOD = 10 ** 9 + 7


def prime_factorization(n):
    i = 2
    res = []
    while i * i <= n:
        cnt = 0
        while n % i == 0:
            n /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        i += 1
    if n > 1:
        res.append(1)
    return res


def comb(a, b):
    b = min(b, a - b)
    if b < 0:
        return 0
    elif b == 0:
        return 1
    elif b == 1:
        return a
    else:
        return (a % MOD) * pow(b, MOD - 2, MOD) % MOD * comb(a - 1, b - 1) % MOD


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

ans = 1
for power in prime_factorization(M):
    ans *= comb(N - 1 + power, power)
    ans %= MOD

print(ans)