qyliang/CodeNanoFix huggingface dataset:
Buggy code:
from math import sqrt
from collections import Counter

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

mod = 10**9+7

def factor(n) :
    factors = Counter()
    p = 2
    while p*p <= n :
        while n%p == 0 :
            factors.update([p])
            n //= p
        p += 1
    return factors

def comb(n, r) :
    if n - r < r: r = n - r
    if r < 0: return 0
    if r == 0: return 1
    if r == 1: return n

    numerator = [n - r + k + 1 for k in range(r)]
    denominator = [k + 1 for k in range(r)]

    for p in range(2,r+1):
        pivot = denominator[p - 1]
        if pivot > 1:
            offset = (n - r) % p
            for k in range(p-1,r,p):
                numerator[k - offset] /= pivot
                denominator[k] /= pivot

    result = 1
    for k in range(r):
        if numerator[k] > 1:
            result *= int(numerator[k])

    return result

vv = factor(m).values()
ans = 1
for v in vv :
    a = 0
    for i in range(min(n, v)) :
        a += comb(n, i+1)*comb(v-1, i)
    ans *= a
    ans %= mod
print(ans)

Fixed code:
from math import sqrt
from collections import Counter

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

mod = 10**9+7

def factor(n) :
    factors = Counter()
    p = 2
    while p*p <= n :
        while n%p == 0 :
            factors.update([p])
            n //= p
        p += 1
    if n > 1 :
        factors.update([n])
    return factors

def comb(n, r) :
    if n - r < r: r = n - r
    if r < 0: return 0
    if r == 0: return 1
    if r == 1: return n

    numerator = [n - r + k + 1 for k in range(r)]
    denominator = [k + 1 for k in range(r)]

    for p in range(2,r+1):
        pivot = denominator[p - 1]
        if pivot > 1:
            offset = (n - r) % p
            for k in range(p-1,r,p):
                numerator[k - offset] /= pivot
                denominator[k] /= pivot

    result = 1
    for k in range(r):
        if numerator[k] > 1:
            result *= int(numerator[k])

    return result

vv = factor(m).values()
ans = 1
for v in vv :
    a = 0
    for i in range(min(n, v)) :
        a += comb(n, i+1)*comb(v-1, i)
    ans *= a
    ans %= mod
print(ans)
Buggy code:
import math
N,M = list(map(int,input().split(" ")))
MOD = 10 ** 9 + 7
def factorize(n):
    fct = []  # prime factor
    b, e = 2, 0  # base, exponent
    while b * b <= n:
        while n % b == 0:
            n = n // b
            e = e + 1
        if e > 0:
            fct.append((b, e))
        b, e = b + 1, 0
    if n > 1:
        fct.append((n, 1))
    return fct


def cmb(n, r):
    if n - r < r: r = n - r
    if r == 0: return 1
    if r == 1: return n;

    numerator = [n - r + k + 1 for k in range(r)]
    denominator = [k + 1 for k in range(r)]

    for p in range(2, r + 1):
        pivot = denominator[p - 1]
        if pivot > 1:
            offset = (n - r) % p
            for k in range(p - 1, r, p):
                numerator[k - offset] /= pivot
                denominator[k] /= pivot

    result = 1
    for k in range(r):
        if numerator[k] > 1:
            result *= int(numerator[k]) % X

    return result % X

ans = 1
fac = factorize(M)
for temp in fac:
    num = temp[1]
    ans *= cmb(num + N - 1,num)
    ans %= MOD
print(ans)


Fixed code:
import math
N,M = list(map(int,input().split(" ")))
MOD = 10 ** 9 + 7
def factorize(n):
    fct = []  # prime factor
    b, e = 2, 0  # base, exponent
    while b * b <= n:
        while n % b == 0:
            n = n // b
            e = e + 1
        if e > 0:
            fct.append((b, e))
        b, e = b + 1, 0
    if n > 1:
        fct.append((n, 1))
    return fct


def cmb(n, r):
    if n - r < r: r = n - r
    if r == 0: return 1
    if r == 1: return n;

    numerator = [n - r + k + 1 for k in range(r)]
    denominator = [k + 1 for k in range(r)]

    for p in range(2, r + 1):
        pivot = denominator[p - 1]
        if pivot > 1:
            offset = (n - r) % p
            for k in range(p - 1, r, p):
                numerator[k - offset] /= pivot
                denominator[k] /= pivot

    result = 1
    for k in range(r):
        if numerator[k] > 1:
            result *= int(numerator[k]) % MOD

    return result % MOD

ans = 1
fac = factorize(M)
for temp in fac:
    num = temp[1]
    ans *= cmb(num + N - 1,num)
    ans %= MOD
print(ans)
Buggy code:
mod = 1000000007


def calc(a, b):
    am = 1
    ad = 1
    for i in range(b):
        am *= (a - i) % mod
        ad *= (i + 1) % mod
    return am * modpow(ad, mod - 2) % mod


def modpow(a, p):
    if p == 0:
        return 1
    if p % 2 == 0:
        p //= 2
        h = modpow(a, p)
        return h * h % mod
    else:
        return a * modpow(a, p - 1) % mod


def main():
    N, M = map(int, input().split())
    res = M
    ans = 1
    i = 2
    while res >= i * i:
        if res % i == 0:
            c = 0
            while res % i == 0:
                c += 1
                res //= i
            ans *= calc(N + c - 1, N - 1) % mod
        i += 1
    if res != 1:
        ans *= calc(N, N - 1) % mod
    print(ans)


main()


Fixed code:
mod = 1000000007


def modpow(a, p):
    if p == 0:
        return 1
    if p % 2 == 0:
        h = modpow(a, p // 2)
        return h * h % mod
    else:
        return a * modpow(a, p - 1) % mod


def calc(a, b):
    if b > a - b:
        return calc(a, a - b)
    am = 1
    ad = 1
    for i in range(b):
        am *= (a - i)
        ad *= (i + 1)
        am %= mod
        ad %= mod
    return am * modpow(ad, mod - 2) % mod


def main():
    N, M = map(int, input().split())
    res = M
    ans = 1
    i = 2
    while res >= i * i:
        if res % i == 0:
            c = 0
            while res % i == 0:
                c += 1
                res //= i
            ans *= calc(N + c - 1, N - 1)
            ans %= mod
        i += 1
    if res != 1:
        ans *= calc(N, N - 1)
        ans %= mod
    print(ans)


main()
Buggy code:
from collections import defaultdict
from functools import reduce
from operator import mul

MOD = 10 ** 9 + 7

def nCr(n, r):
    r = min(r, n - r)
    if r == 0:
        return 1
    return reduce(mul, range(n, n - r, -1)) // reduce(mul, range(1, r + 1))

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

factors = defaultdict(int)
i = 2
while M > 1 and i * i <= N:
    while M % i == 0:
        M //= i
        factors[i] += 1
    i += 1 if i == 2 else 2
if M > 1:
    factors[M] += 1

ans = 1
for n in factors.values():
    ans *= nCr(N + n - 1, n)
    ans %= MOD
print(ans)


Fixed code:
from collections import defaultdict
from functools import reduce
from operator import mul

MOD = 10 ** 9 + 7

def nCr(n, r):
    r = min(r, n - r)
    if r == 0:
        return 1
    return reduce(mul, range(n, n - r, -1)) // reduce(mul, range(1, r + 1))

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

factors = defaultdict(int)
i = 2
while M > 1 and i * i <= M:
    while M % i == 0:
        M //= i
        factors[i] += 1
    i += 1 if i == 2 else 2
if M > 1:
    factors[M] += 1

ans = 1
for n in factors.values():
    ans *= nCr(N + n - 1, n)
    ans %= MOD
print(ans)
Buggy code:
n, m = list(map(int, input().split()))

MAX = 2*10**5+1
MOD = 10**9+7
fact = [0 for i in range(MAX)]
inv = [0 for i in range(MAX)]
invfact = [0 for i in range(MAX)]

def comb_build(n):
  fact[0] = inv[0] = invfact[0] = 1
  fact[1] = inv[1] = invfact[1] = 1
  for i in range(2, n):
    fact[i] = fact[i-1]*i%MOD
    inv[i] = inv[MOD%i]*(MOD-MOD//i)%MOD
    invfact[i] = invfact[i-1]*inv[i]%MOD

def nCk(n, k):
  if n<k or n<0 or k<0:
    return 0
  return (((fact[n]*invfact[k])%MOD)*invfact[n-k])%MOD

def prime_factor(n):
  from collections import defaultdict
  ret = defaultdict(int)
  for i in range(2, int(n**(1/2))+1):
    while n%i==0:
      ret[i] += 1
      n //= i
  return ret

comb_build(MAX)
ans = 1
for e in prime_factor(m).values():
  ans *= nCk(e+n-1, e)%MOD
print(ans%MOD)

Fixed code:
n, m = list(map(int, input().split()))

MAX = 2*10**5+1
MOD = 10**9+7
fact = [0 for i in range(MAX)]
inv = [0 for i in range(MAX)]
invfact = [0 for i in range(MAX)]

def comb_build(n):
  fact[0] = inv[0] = invfact[0] = 1
  fact[1] = inv[1] = invfact[1] = 1
  for i in range(2, n):
    fact[i] = fact[i-1]*i%MOD
    inv[i] = inv[MOD%i]*(MOD-MOD//i)%MOD
    invfact[i] = invfact[i-1]*inv[i]%MOD

def nCk(n, k):
  if n<k or n<0 or k<0:
    return 0
  return (((fact[n]*invfact[k])%MOD)*invfact[n-k])%MOD

def prime_factor(n):
  from collections import defaultdict
  ret = defaultdict(int)
  for i in range(2, int(n**(1/2))+10):
    while n%i==0:
      ret[i] += 1
      n //= i
  if n!=1:
    ret[n] = 1
  return ret

comb_build(MAX)
ans = 1
for e in prime_factor(m).values():
  ans *= nCk(e+n-1, e)%MOD
print(ans%MOD)
Buggy code:
from collections import defaultdict

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

prime = defaultdict(int)
m = M
for i in range(2, M + 1):
    while m % i == 0 and m > 1:
        prime[i] += 1
        m //= i

MOD = 10 ** 9 + 7

def comb(n, k):
    a = 1
    for i in range(1, k + 1):
        a *= n - i + 1
        a %= MOD
        
        a *= pow(i, MOD - 2, MOD)
        a %= MOD
        
    return a

ans = 1
for _, t in prime.items():
    ans *= comb(N - 1 + t, t)
    ans %= MOD
    
print(ans)



Fixed code:
from collections import defaultdict

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

prime = defaultdict(int)
m = M
for i in range(2, 10 ** 5):
    while m % i == 0 and m > 1:
        prime[i] += 1
        m //= i

if m > 1:
    prime[10 ** 9] = 1
MOD = 10 ** 9 + 7

def comb(n, k):
    a = 1
    for i in range(1, k + 1):
        a *= n - i + 1
        a %= MOD
        
        a *= pow(i, MOD - 2, MOD)
        a %= MOD
        
    return a

ans = 1
for _, t in prime.items():
    ans *= comb(N - 1 + t, t)
    ans %= MOD
    
print(ans)
Buggy code:
from itertools import combinations
from collections import Counter
import operator as op
from functools import reduce

def ncr(n, r):
    r = min(r, n-r)
    numer = reduce(op.mul, range(n, n-r, -1), 1)
    denom = reduce(op.mul, range(1, r+1), 1)
    return numer // denom

N, M = [int(i) for i in input().split()]

def primes(n):
    primfac = []
    d = 2
    while d*d <= n:
        while (n % d) == 0:
            primfac.append(d)  # supposing you want multiple factors repeated
            n //= d
        d += 1
    if n > 1:
        primfac.append(n)
    return primfac

ans = 1
divisors = primes(M)
for k, v in Counter(divisors).items():
    ans *= ncr(N - 1 + v, v)
print(ans)


Fixed code:
from itertools import combinations
from collections import Counter
import operator as op
from functools import reduce

def ncr(n, r):
    r = min(r, n-r)
    numer = reduce(op.mul, range(n, n-r, -1), 1)
    denom = reduce(op.mul, range(1, r+1), 1)
    return numer // denom

N, M = [int(i) for i in input().split()]

def primes(n):
    primfac = []
    d = 2
    while d*d <= n:
        while (n % d) == 0:
            primfac.append(d)  # supposing you want multiple factors repeated
            n //= d
        d += 1
    if n > 1:
        primfac.append(n)
    return primfac

ans = 1
divisors = primes(M)
for k, v in Counter(divisors).items():
    ans *= ncr(N - 1 + v, v)
print(ans % (10**9 + 7))
Buggy code:
def FACT(DICT, N):
    FACT = DICT
    LIM = int((N**0.5)//1)+1
    for i in range(2, LIM):
        if N%i == 0:
            FACT[i] = 0
        while N%i == 0:
            FACT[i] += 1
            N //= i
        if len(FACT) == len(DICT):
            FACT[N] = 1
            return FACT
    return FACT(FACT, N)

def comb_rep(n, r):
    N = n+r-1
    ANS = 1
    for R in range(r):
        ANS *= N-R
        ANS /= R+1
    return int(ANS)

MOD = 10**9+7
n, m = map(int, input().split())
factor = FACT({}, m)
ans = 1
for i in factor:
    ans *= comb_rep(n, factor[i])
    ans %= MOD
print(ans)

Fixed code:
def FACTOR(DICT, N):
    FACT = DICT
    LIM = int(N**0.5)+2
    for i in range(2, LIM):
        if N%i == 0:
            FACT[i] = 0
        while N%i == 0:
            FACT[i] += 1
            N //= i
    if len(FACT) == len(DICT):
        if N != 1:
            FACT[N] = 1
        return FACT
    return FACTOR(FACT, N)

def comb_rep(n, r):
    N = n+r-1
    ANS = 1
    for R in range(r):
        ANS *= N-R
    for R in range(r):
        ANS //= r-R
    return int(ANS)

MOD = 10**9+7
n, m = map(int, input().split())
factor = FACTOR({}, m)
ans = 1
for i in factor:
    ans *= (comb_rep(n, factor[i])%MOD)
    ans %= MOD
print(ans)
Buggy code:
import collections
import math
n,m=map(int,input().split())
flag=0
P=[]
p=m
while flag==0:
  cur=p
  for i in range(2,int(p**0.5)+1):
    if p%if==0:
      P.append(i)
      p//=i
      break
  if p==cur:
    P.append(p)
    flag=1
c=collections.Counter(P)
Primes=set(P)
def f(i):
  return math.factorial(i)
def fn(i):
  return f(n+i-1)//(f(n-1)*f(i))
ans=1
for p in Primes:
  ans*=fn(c[p])
print(ans) 

Fixed code:
import collections
import math
n,m=map(int,input().split())
flag=0
P=[]
p=m
while flag==0:
  cur=p
  for i in range(2,int(p**0.5)+1):
    if p%i==0:
      P.append(i)
      p//=i
      break
  if p==cur:
    P.append(p)
    flag=1
c=collections.Counter(P)
Primes=set(P)
def f(i):
  return math.factorial(i)
def fn(i):
  return f(n+i-1)//(f(n-1)*f(i))%(10**9+7)
ans=1
for p in Primes:
  ans*=fn(c[p])
  ans%=(10**9+7)
print(1 if m==1 else ans)
Buggy code:
N, M = [int(i) for i in input().split()]

def prime_decomposition(n):
  table = []
  i = 2
  while i * i <= n:
    count = 0
    while n % i == 0:
      n //= i
      count += 1
    if count != 0:
        table.append((i, count))
    i += 1
  if n > 1:
    table.append((n, 1))
  return table

def cmb(n,r):
    from operator import mul
    from functools import reduce
    r = min(n - r, r)
    if r == 0:
        return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

mod = 10 ** 9 + 7
A = prime_decomposition(M)
print(A)
result = 1
for _, a in A:
    result = result * cmb(a + N - 1, a) % mod

print(result)

Fixed code:
N, M = [int(i) for i in input().split()]

def prime_decomposition(n):
  table = []
  i = 2
  while i * i <= n:
    count = 0
    while n % i == 0:
      n //= i
      count += 1
    if count != 0:
        table.append((i, count))
    i += 1
  if n > 1:
    table.append((n, 1))
  return table

def cmb(n,r):
    from operator import mul
    from functools import reduce
    r = min(n - r, r)
    if r == 0:
        return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

mod = 10 ** 9 + 7
A = prime_decomposition(M)
result = 1
for _, a in A:
    result = result * cmb(a + N - 1, a) % mod

print(result)
Buggy code:
from operator import mul
from functools import reduce

N,M=map(int,input().split())
P=10**9+7
ans=1

def Pdeco(m):
    ret=[]
    for i in range(2,int((m)**(0.5))+1):
        if m<=i:
            if m!=1: ret.append(int(m))
            break
        elif i==int((m)**(0.5)):
            ret.append(m)
            break

        while m%i==0:
            m=m//i
            ret.append(i)
    return ret


def cmb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

L=Pdeco(M)
nums=set(L)

for n in nums:
    p=L.count(n)
    ans=(ans*cmb(N+p-1,N-1))%P

print(ans)

Fixed code:
from operator import mul
from functools import reduce

N,M=map(int,input().split())
P=10**9+7
ans=1

def Pdeco(m):
    ret=[]
    for i in range(2,int((M)**(0.5))+100):
        if m<=i:
            if m!=1: ret.append(int(m))
            break
        elif i>int((M)**(0.5)+50):
            ret.append(m)
            break

        while m%i==0:
            m=m//i
            ret.append(i)
    return ret


def cmb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

L=Pdeco(M)
nums=set(L)

for n in nums:
    p=L.count(n)
    ans=(ans*cmb(N+p-1,N-1))%P

print(ans)
Buggy code:
from math import factorial, sqrt
N,M=map(int,input().split())
prms={}
tmp=M
for i in range(2, int(sqrt(M))+2):
    while not tmp%i:
        if not i in prms:
            prms[i]=1
        else:
            prms[i]+=1
        tmp //= i
if tmp != 1:
    prms[tmp] = 1

print(prms)

res=1
def cmb(a,b):
    res=1
    if a - b < b:
        b = a-b
    for i in range(b):
        res *= (a-i)
        res //= (i+1)
    return res

for p, cnt in prms.items():
    res *= cmb(cnt+N-1, cnt)
    res %= 1000000007

print(res % 1000000007)

Fixed code:
from math import factorial, sqrt
N,M=map(int,input().split())
prms={}
tmp=M
for i in range(2, int(sqrt(M))+2):
    while not tmp%i:
        if not i in prms:
            prms[i]=1
        else:
            prms[i]+=1
        tmp //= i
if tmp != 1:
    prms[tmp] = 1

# print(prms)

res=1
def cmb(a,b):
    res=1
    if a - b < b:
        b = a-b
    for i in range(b):
        res *= (a-i)
        res //= (i+1)
    return res

for p, cnt in prms.items():
    res *= cmb(cnt+N-1, cnt)
    res %= 1000000007

print(res % 1000000007)
Buggy code:
inpl = lambda: list(map(int,input().split()))
MOD = 10**9 + 7
N, M = inpl()

def factorize(n):
  prime_list = []
  factorize_list = []
  i = 2
  while i <= n:
    for p in prime_list:
      if i % p == 0:
        break
    else:
      prime_list.append(i)
      k = 0
      while n % i == 0:
        n //= i
        k += 1
      factorize_list.append(k)
  return(factorize_list)

ans = 1
for k in factorize(M):
  h = 1
  L = k + N
  k = min(k,N)
  for j in range(k):
    h *= L-j
  for j in range(k):
    h //= j+1
  h //= MOD
  ans *= h
  ans //= MOD

print(ans)

Fixed code:
inpl = lambda: list(map(int,input().split()))
MOD = 10**9 + 7
N, M = inpl()
 
def factorize(n):
  prime_list = []
  factorize_list = []
  i = 2
  while i*i <= n:
    for p in prime_list:
      if i % p == 0:
        break
    else:
      prime_list.append(i)
      k = 0
      while n % i == 0:
        n //= i
        k += 1
      factorize_list.append(k)
    i += 1
  if n > 1:
    factorize_list.append(1)
  return(factorize_list)

def H(n,k):
  h = 1
  L = n + k - 1
  k = min(n-1,k)
  for j in range(k):
    h *= L-j
  for j in range(k):
    h //= j+1
  return h

ans = 1
for k in factorize(M):
  ans *= H(N,k) % MOD
  ans %= MOD

print(ans)
Buggy code:
n,m = map(int, input().split())
import math
import collections
def tds(n):
    prime_count = collections.Counter()
    
    for i in range(2, int(math.sqrt(n)) + 2):
        while n % i == 0:
            n /= i
            prime_count[i] += 1
    if n > 1:
        prime_count[n] += 1
    
    return prime_count
c=tds(m)
ans=1
for ci in c.values():
    ans*=math.factorial(n-1+ci)/math.factorial(n-1)/math.factorial(ci)
print(int(ans)%(10**9+7))


Fixed code:
n,m = map(int, input().split())
import math
import collections
def tds(n):
    prime_count = collections.Counter()
    
    for i in range(2, int(math.sqrt(n)) + 2):
        while n % i == 0:
            n /= i
            prime_count[i] += 1
    if n > 1:
        prime_count[n] += 1
    
    return prime_count
c=tds(m)
ans=1
def C(n,r):
    res=1
    for i in range(n,n-r,-1):
        res*=i
    return res//math.factorial(r)
for ci in c.values():
    ans*=C(n+ci-1,ci)
    ans%=10**9+7
print(int(ans))
Buggy code:
a,b=map(int,input().split())


from collections import Counter
from operator import mul
from functools import reduce
def cmb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

def factorize(n):
    b = 2
    fct = []
    while b * b <= n:
        while n % b == 0:
            n //= b
            fct.append(b)
        b += 1
    if n > 1:
        fct.append(n)
    return fct
if a==1 and b==1:
    print(1)
    exit()
elif len(factorize(b))<a:
    print(0)
    exit()
mod=10**9+7
print(reduce(mul,map(lambda x:cmb(a-1+x,a-1),Counter(factorize(b)).values()))%mod)

Fixed code:
a,b=map(int,input().split())


from collections import Counter
from operator import mul
from functools import reduce
def cmb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

def factorize(n):
    b = 2
    fct = []
    while b * b <= n:
        while n % b == 0:
            n //= b
            fct.append(b)
        b += 1
    if n > 1:
        fct.append(n)
    return fct
if len(factorize(b))==0:
    print(1)
    exit()

mod=10**9+7
print(reduce(mul,map(lambda x:cmb(a-1+x,a-1),Counter(factorize(b)).values()))%mod)
Buggy code:
n,m = map(int,input().split())
def div(x,y):
    if x%y!=0:
        return 0
    else:
        return 1+div(int(x/y),y)

p=[]

def fact(s):
    if len(p)!=0:
        k=p[-1]
    else:
        k=2
    for i in range(2,max(int(s**0.5) +2,2)):
        a=div(s,i)
        if a==0:
            0
        else:
            p.append(a)
            s=int(s/i**a)
            
fact(m)
def comb(nn,rr):
    rr=min(rr,nn-rr)
    rt=1
    for i in range(rr):
        rt=rt*(nn-i)/(rr-i)
    return int(rt)
#print(p)
mo=10**9+7
ans=1
if len(p)==0:
    ans=1
else:
    for i in p:
        ans=(ans*comb(i+n-1, i)) % mo
        #print(ans,comb(i+n-1, i, exact=True))
print(ans)

Fixed code:
n,m = map(int,input().split())
def div(x,y):
    if x%y!=0:
        return 0
    else:
        return 1+div(int(x/y),y)

p=[]
q=[]

def fact(s):
    if len(p)!=0:
        k=p[-1]
    else:
        k=2
    for i in range(2,max(int(s**0.5) +2,2)):
        a=div(s,i)
        if a==0:
            0
        else:
            p.append(a)
            q.append(i)
            s=int(s/i**a)
    if s!=1:
        p.append(1)
            
fact(m)
def comb(nn,rr):
    rr=min(rr,nn-rr)
    rt=1
    for i in range(rr):
        #rt=rt*(nn-i)/(rr-i)
        rt*=(nn-i)
    for i in range(rr):
        rt//=(rr-i)
    return int(rt)
#print(p,q,m)
mo=10**9 +7
ans=1
if len(p)==0:
    ans=1
else:
    for i in p:
        ans*=comb(i+n-1, i) % mo
print(ans % mo)
Buggy code:
from collections import Counter
mod = 10**9 + 7
n, m = map(int, input().split())

def fact(m):
    c = Counter()
    s = 2
    while s**2 <= m:
        if m % s:
            s += 1
            continue
        while m % s == 0:
            c[s] += 1
            m //= s
    if m > 1:
        c[m] += 1
    return c

def comb(n, r):
    ret = 1
    for i in range(min(r, n-r)):
        ret = ret*(n-i)//(i+1)
    return ret

ans = 1
for cnt in fact(m).values():
    print(cnt)
    ans = ans*comb(cnt+n-1, cnt) % mod
#    for i in range(cnt):
#        ans = ans*(cnt+n-1-i)//(i+1)
print(ans % mod)

Fixed code:
from collections import Counter
mod = 10**9 + 7
n, m = map(int, input().split())

def fact(m):
    c = Counter()
    s = 2
    while s**2 <= m:
        if m % s:
            s += 1
            continue
        while m % s == 0:
            c[s] += 1
            m //= s
    if m > 1:
        c[m] += 1
    return c

def comb(n, r):
    ret = 1
    for i in range(min(r, n-r)):
        ret = ret*(n-i)//(i+1)
    return ret

ans = 1
for cnt in fact(m).values():
    ans = ans*comb(cnt+n-1, cnt) % mod
#    for i in range(cnt):
#        ans = ans*(cnt+n-1-i)//(i+1)
print(ans % mod)
Buggy code:
import math
mod = 1000000007
N,M = list(map(int,input().strip().split()))
l = []

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

cnt = 0
while  M%2 == 0:
  M = M//2
  cnt += 1
l.append(cnt)


for i in range(3,int(math.sqrt(M)),2):
  cnt = 0
  while M%i == 0:
    M = M//i
    cnt += 1
  if cnt != 0:
    l.append(cnt)
  
ans = 1
for i in l:
  ans *= C(N+i-1,i)
  
print(ans%mod)


Fixed code:
import math
mod = 1000000007
N,M = list(map(int,input().strip().split()))
l = []

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

def C(n, r):
  return P(n, r)//math.factorial(r)

ans = 1
cnt = 0
while  M%2 == 0:
  M //= 2
  cnt += 1
l.append(cnt)
cnt = 0

i = 3
while i**2 <= M:
  cnt = 0
  while M%i == 0:
    M //= i
    cnt += 1
  if cnt != 0:
    l.append(cnt)
    cnt = 0
  i += 2
if M != 1:
    l.append(1)

for i in l:
  for j in range(i):
    ans = ans*(N+j)//(j+1)

print(ans%mod)