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

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

fact = [0] * (n+21)
ifact = [0] * (n+21)
fact[0] = 1
for i in range(1,n+21):
    fact[i] = fact[i-1] * i % mod
ifact[n+20] = pow(fact[n+20], mod-2, mod)
for i in reversed(range(1,n+21)):
    ifact[i-1] = ifact[i] * i % mod

def comb(n, k):
    return fact[n] * ifact[n-k] % mod * ifact[k] % mod

def getprime(n):
    primes = []
    i = 2
    while n > i * i:
        while n % i == 0:
            n //= i
            primes.append(i)
        i += 1
    if n != 1:
        primes.append(n)
    return primes

ans = 1
counter = Counter(getprime(m))
print(counter)
for k in counter.values():
    print(n+k-1, k, comb(n+k-1, k))
    ans *= comb(n+k-1, k)
    ans %= mod
print(ans)

Fixed code:
import math
from collections import Counter

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

K = 50
fact = [0] * (n+1+K)
ifact = [0] * (n+1+K)
fact[0] = 1
for i in range(1,n+1+K):
    fact[i] = fact[i-1] * i % mod
ifact[n+K] = pow(fact[n+K], mod-2, mod)
for i in reversed(range(1,n+1+K)):
    ifact[i-1] = ifact[i] * i % mod

def comb(n, k):
    return fact[n] * ifact[n-k] % mod * ifact[k] % mod

def getprime(n):
    primes = []
    i = 2
    while n >= i * i:
        while n % i == 0:
            n //= i
            primes.append(i)
        i += 1
    if n != 1:
        primes.append(n)
    return primes

ans = 1
counter = Counter(getprime(m))
for k in counter.values():
    ans *= comb(n+k-1, k)
    ans %= mod
print(ans)
Buggy code:
N, M = map(int, input().split())
mod = int(1e+9 + 7)
a = mod - 2
ax = []
while a != 0:
  ax = [a%2] + ax[:]
  a //= 2
def inved(x):
  y = 1
  for i in range(len(ax)):
    if ax[i] == 1:
      y *= x
      y %= mod
    if i != len(ax) - 1:
      y *= y
      y %= mod
  return y

p, n = 2, M
L = []
dig = 1
while n != 1:
  i = 0
  while n % p == 0:
    n //= p
    dig *= p
    i += 1
  if i != 0:
    L.append([p, i])
  p += 1
  if p > int(M**(1/2)) and dig != M:
    if L != []:
      L.append([M//dig, 1])
    else:
      L.append([M, 1])
    break
print(L)
if M == 1:
  print(1)
else:
  prod = 1
  mm = max(x[1] for x in L)
  fact = [1]
  for i in range(N + mm - 1):
    fact.append((fact[i] * (i + 1)) % mod)
  invf = inved(fact[N - 1])
  for i in L:
    pad = (fact[N - 1 + i[1]] * inved(fact[i[1]]) * invf) % mod
    prod *= pad
    prod %= mod
  print(prod)

Fixed code:
N, M = map(int, input().split())
mod = int(1e+9 + 7)
a = mod - 2
ax = []
while a != 0:
  ax = [a%2] + ax[:]
  a //= 2
def inved(x):
  y = 1
  for i in range(len(ax)):
    if ax[i] == 1:
      y *= x
      y %= mod
    if i != len(ax) - 1:
      y *= y
      y %= mod
  return y

p, n = 2, M
L = []
dig = 1
while n != 1:
  i = 0
  while n % p == 0:
    n //= p
    dig *= p
    i += 1
  if i != 0:
    L.append([p, i])
  p += 1
  if p > int(M**(1/2)) and dig != M:
    if L != []:
      L.append([M//dig, 1])
    else:
      L.append([M, 1])
    break

if M == 1:
  print(1)
else:
  prod = 1
  mm = max(x[1] for x in L)
  fact = [1]
  for i in range(N + mm - 1):
    fact.append((fact[i] * (i + 1)) % mod)
  invf = inved(fact[N - 1])
  for i in L:
    pad = (fact[N - 1 + i[1]] * inved(fact[i[1]]) * invf) % mod
    prod *= pad
    prod %= mod
  print(prod)
Buggy code:

N,M=[int(x) for x in str(input()).split()]
lim=pow(2,5)+5





num=10**9+7
x=1
factorial=[1]
for i in range(1,2*10**5+1):
  x=(i*x)%num
  factorial.append(x)
 
rfactorial=[]
for i in factorial:
  rfactorial.append(pow(i,num-2,num))
 

def c(n,k):
  return (((factorial[n]*rfactorial[k])%num)*rfactorial[n-k])%num


ans=1
for i in range(2,int(M**0.5)+1):
  count=0
  while M%i==0:
    count+=1
    M=M//i
  ans=(ans*c(N-1+count,count))%num
print(ans)


Fixed code:

N,M=[int(x) for x in str(input()).split()]
lim=int(M**0.5)+100005




num=10**9+7
x=1
factorial=[1]
for i in range(1,2*10**5+1):
  x=(i*x)%num
  factorial.append(x)
 
rfactorial=[]
for i in factorial:
  rfactorial.append(pow(i,num-2,num))
 

def c(n,k):
  return (((factorial[n]*rfactorial[k])%num)*rfactorial[n-k])%num


ans=1
for i in range(2,int(M**0.5)+2):
  count=0
  while M%i==0:
    count+=1
    M=M//i
  ans=(ans*c(N+count-1,count))%num
if M>1:
  ans=(ans*c(N,1))%num

print(ans)
Buggy code:
import sys
import collections


def alg_duplicate_combination_mod(n, r, mod):
    n = n + r - 1
    r = min(n - r, r)
    if r == 0:
        return 1
    else:
        denominator = 1
        for i in range(n, n - r, -1):
            denominator = (denominator * i) % mod
        molecule = 1
        for i in range(1, r + 1):
            molecule = (molecule * i) % mod
        return denominator * pow(molecule, mod - 2, mod) % mod


def solve():
    input = sys.stdin.readline
    mod = 10 ** 9 + 7
    n, m = list(map(int, input().rstrip('\n').split()))
    t = m
    d = collections.defaultdict(int)
    for i in range(2, int(t ** 0.5) + 1):
        while True:
            if t % i == 0:
                d[i] += 1
                t //= i
            else:
                break
    if t != 1:
        cnt *= alg_duplicate_combination_mod(n, v, od)
        cnt %= mod
    print(cnt)


if __name__ == '__main__':
    solve()


Fixed code:
import sys
import collections


def alg_duplicate_combination_mod(n, r, mod):
    n = n + r - 1
    r = min(n - r, r)
    if r == 0:
        return 1
    else:
        denominator = 1
        for i in range(n, n - r, -1):
            denominator = (denominator * i) % mod
        molecule = 1
        for i in range(1, r + 1):
            molecule = (molecule * i) % mod
        return denominator * pow(molecule, mod - 2, mod) % mod


def solve():
    input = sys.stdin.readline
    mod = 10 ** 9 + 7
    n, m = list(map(int, input().rstrip('\n').split()))
    t = m
    d = collections.defaultdict(int)
    for i in range(2, int(t ** 0.5) + 1):
        while True:
            if t % i == 0:
                d[i] += 1
                t //= i
            else:
                break
    if t != 1:
        d[t] += 1
    cnt = 1
    for k, v in d.items():
        cnt *= alg_duplicate_combination_mod(n, v, mod)
        cnt %= mod
    print(cnt)


if __name__ == '__main__':
    solve()
Buggy code:
n,m=map(int,input().split())
mod=10**9+7
def combination(n, r):
    a = 1
    b = 1
    for i in range(r):
        a *= (n - i)
        b *= (i + 1)
    return a // b
def get_prime_dic(n):
    dic = {}
 
    i = 2
    while i * i <= n:
        while n % i == 0:
            n //= i
            if i in dic:
                dic[i] += 1
            else:
                dic[i] = 1
        i += 1
 
    if n > 1:
        dic[n] = 1
    return dic
d=get_prime_dic(m)
ans=1
for i,j in d.items():
    ans*=combination(n-1+j, j)%mod


print(ans)

Fixed code:
n,m=map(int,input().split())
mod=10**9+7
def combination(n, r):
    a = 1
    b = 1
    for i in range(r):
        a *= (n - i)
        b *= (i + 1)
    return a // b
def get_prime_dic(n):
    dic = {}
 
    i = 2
    while i * i <= n:
        while n % i == 0:
            n //= i
            if i in dic:
                dic[i] += 1
            else:
                dic[i] = 1
        i += 1
 
    if n > 1:
        dic[n] = 1
    return dic
d=get_prime_dic(m)
ans=1
for i,j in d.items():
    ans*=combination(n-1+j, j)
    ans%=mod


print(ans)
Buggy code:
n,m=map(int,input().split())
def prime_factorize(x):
    a=[]
    b=[]
    while x%2==0:
        if 2 not in b:
            a.append(2)
            b.append(2)
            x/=2
        else:
            a.append(2)
            x/=2
    f=3
    while f*f<=x:
        if x%f==0:
            if f not in b:
              a.append(f)
              b.append(f)
              x/=f
            else:
              a.append(f)
              x/=f
        else:
          f+=2        
    if x!=1:
      a.append(int(x))
      b.append(int(x))
    return a,b    

def comb(n, b):
    if b > n - b:
      b = n - b
    r = 1
    for k in range(n, n-b, -1):
      r = r * k
    d = 1
    for k in range(1, b+1):
      d = d * k
    return r // d 
  
ans=1
A,B=prime_factorize(m)

for i in range(len(B)):
  c=A.count(B[i])  
  ans*=comb(c+n-1,c)
  ans%=10**9+7

print(ans)
               

Fixed code:
n,m=map(int,input().split())
def prime_factorize(x):
    a=[]
    b=[]
    while x%2==0:
        if 2 not in b:
            a.append(2)
            b.append(2)
            x/=2
        else:
            a.append(2)
            x/=2
    f=3
    while f*f<=x:
        if x%f==0:
            if f not in b:
              a.append(f)
              b.append(f)
              x/=f
            else:
              a.append(f)
              x/=f
        else:
          f+=2        
    if x!=1:
      a.append(int(x))
      if int(x) not in b:
        b.append(int(x))
    return a,b    

def comb(n, b):
    if b > n - b:
      b = n - b
    r = 1
    for k in range(n, n-b, -1):
      r = r * k
    d = 1
    for k in range(1, b+1):
      d = d * k
    return r // d 
  
ans=1
A,B=prime_factorize(m)

for i in range(len(B)):
  c=A.count(B[i])  
  ans*=comb(c+n-1,c)
  ans%=10**9+7

print(ans)
Buggy code:
def fact(n):
    global mod
    if n==0:
        return 1
    else:
        res=1
        for i in range(1,n+1):
            res=(res*i)%mod
        return res

def inv(n):
    global mod
    res=1
    prod=n%mod
    a=mod-2
    while a>0:
        if a%2==1:
            res=(res*prod)%mod
        a//=2
        prod=(prod**2)%mod
    return res

def combi(n,r):
    return (fact(n)*inv(fact(r))*inv(fact(n-r)))%mod

def ord(n,p):
    res=0
    while n%p==0:
        res+=1
        n//=p
    return res

mod=10**9+7
N,M=map(int,input().split())
l=[]

if ord(M,2)>0:
    l.append(ord(M,2))
    M//=2**ord(M,2)

p=3
while M>1 and p<=int(10**4.5):
    if ord(M,p)>0:
        l.append(ord(M,p))
        M//=p**ord(M,p)
    p+=2
if M>1:
    l.append(1)
    M=1

print(l)

ans=1
for e in l:
    ans=(ans*combi(e+N-1,N-1))%mod

print(ans)

Fixed code:
def fact(n):
    global mod
    if n==0:
        return 1
    else:
        res=1
        for i in range(1,n+1):
            res=(res*i)%mod
        return res

def inv(n):
    global mod
    res=1
    prod=n%mod
    a=mod-2
    while a>0:
        if a%2==1:
            res=(res*prod)%mod
        a//=2
        prod=(prod**2)%mod
    return res

def combi(n,r):
    return (fact(n)*inv(fact(r))*inv(fact(n-r)))%mod

def ord(n,p):
    res=0
    while n%p==0:
        res+=1
        n//=p
    return res

mod=10**9+7
N,M=map(int,input().split())
l=[]

if ord(M,2)>0:
    l.append(ord(M,2))
    M//=2**ord(M,2)

p=3
while M>1 and p<=int(10**4.5):
    if ord(M,p)>0:
        l.append(ord(M,p))
        M//=p**ord(M,p)
    p+=2
if M>1:
    l.append(1)
    M=1

ans=1
for e in l:
    ans=(ans*combi(e+N-1,N-1))%mod

print(ans)
Buggy code:
N, M = list(map(int, input().split(' ')))
MOD = int(1e9 + 7)
primes = []
if M % 2 == 0:
  primes.append(2)

seeds = []
p = 2
while M:
  while M % p == 0:
    seeds.append(p)
    M = M // p
  if p*p > M:
    seeds.append(M)
    M = 0
  p += 1

def comb(n, k):
  ans = 1
  for i in range(1, k + 1):
    ans = (ans * (n + 1 - i) // i)
  return ans

ans = 1
hogehoge = set(seeds)
for i in hogehoge:
  a_ct = seeds.count(i)
  ans = (ans * comb(a_ct + N-1, min(a_ct, N-1))) % MOD
print(ans)


Fixed code:
N, M = list(map(int, input().split(' ')))
MOD = int(1e9 + 7)
primes = []
if M % 2 == 0:
  primes.append(2)

seeds = []
p = 2
while M > 1:
  while M % p == 0:
    seeds.append(p)
    M = M // p
  if p*p > M:
    if M != 1:
	    seeds.append(M)
    M = 0
  p += 1

def comb(n, k):
  ans = 1
  for i in range(1, k + 1):
    ans = (ans * (n + 1 - i) // i)
  return ans

ans = 1
hogehoge = set(seeds)
for i in hogehoge:
  a_ct = seeds.count(i)
  ans = (ans * comb(a_ct + N-1, min(a_ct, N-1))) % MOD
print(ans)
Buggy code:
def factorize(n):
    b,e = 2,0
    fct = []
    while b*b <= n:
        while n%b==0:
            n//=b
            e+=1
        if e>0:
            fct.append((b,e))
        b+=1
    if n!=1:
        fct.append((n,1))
    return fct
    
N,M = list(map(int,input().split()))

pl = factorize(M)

max_coef=max([p[1] for p in pl])



if max_coef==0:
    print(N)
else:

    comb_list = [1]
    c = 1
    mod = 10**9+7
    for i in range(max_coef):
        c *= N+i
        c *= pow(i+1,mod-2,mod)
        c %= mod
        comb_list.append(c)

    ans = 1

    for p in pl:
        ans*=comb_list[p[1]]
        ans %= mod

    print(ans)

Fixed code:
def factorize(n):
    b,e = 2,0
    fct = []
    while b*b <= n:
        while n%b==0:
            n//=b
            e+=1
        if e>0:
            fct.append((b,e))
        b+=1
        e=0
    if n!=1:
        fct.append((n,1))
    return fct
    
N,M = list(map(int,input().split()))
 

if M==1:
    print(1)
else:
    pl = factorize(M)
    
    max_coef=max([p[1] for p in pl])
    
    
    if max_coef==0:
        print(N)
    else:
    
        comb_list = [1]
        c = 1
        mod = 10**9+7
        for i in range(max_coef):
            c *= N+i
            c *= pow(i+1,mod-2,mod)
            c %= mod
            comb_list.append(c)
    
        ans = 1
    
        for p in pl:
            ans*=comb_list[p[1]]
            ans %= mod
    
        print(ans)
Buggy code:
import math
import collections

Max = 100001
Mod = 1000000007
fac = [0] * Max
finv = [0] * Max
inv = [0] * Max
def COMinit():
    fac[0] = fac[1] = 1
    finv[0] = finv[1] = 1
    inv[1] = 1
    for i in range(2, Max):
        fac[i] = fac[i-1] * i % Mod 
        inv[i] = Mod - inv[Mod%i] * (Mod//i) % Mod
        finv[i] = finv[i-1] * inv[i] % Mod 

def COM(n, k):
    if n < 0 or k < 0 or n < k:
        return 0
    return fac[n] * (finv[k] * finv[n-k] % Mod) % Mod

N, M = map(int, input().split())
prime_count = collections.Counter()
for i in range(2, math.ceil(math.sqrt(M))+1):
    while M % i == 0:
        M /= i
        prime_count[i] += 1
if M > 1:
    prime_count[M] += 1

ans = 1
COMinit()
for i, b in prime_count.items():
    tmp = COM(b+N-1, N-1)
    ans = (ans * tmp) % Mod 
print(ans)


Fixed code:
import math
import collections

Max = 210000
Mod = 1000000007
fac = [0] * Max
finv = [0] * Max
inv = [0] * Max
def COMinit():
    fac[0] = fac[1] = 1
    finv[0] = finv[1] = 1
    inv[1] = 1
    for i in range(2, Max):
        fac[i] = fac[i-1] * i % Mod 
        inv[i] = Mod - inv[Mod%i] * (Mod//i) % Mod
        finv[i] = finv[i-1] * inv[i] % Mod 

def COM(n, k):
    if n < 0 or k < 0 or n < k:
        return 0
    return fac[n] * (finv[k] * finv[n-k] % Mod) % Mod

N, M = map(int, input().split())
prime_count = collections.Counter()
for i in range(2, math.ceil(math.sqrt(M))+1):
    while M % i == 0:
        M /= i
        prime_count[i] += 1
if M > 1:
    prime_count[M] += 1

ans = 1
COMinit()
for i, b in prime_count.items():
    tmp = COM(b+N-1, N-1)
    ans = (ans * tmp) % Mod 
print(ans)
Buggy code:
n,m=map(int,input().split())
MOD=10**9+7
def factorization(n):
    arr = []
    temp = n
    if n==1:
        return arr
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append((i, cnt))

    if temp!=1:
        arr.append((temp, 1))

    if arr==[]:
        arr.append((n, 1))

    return arr
arr=factorization(m)
print(arr)
l=len(arr)
N=30
comb=[1]*31
inv_t = [0]+[1]
for i in range(2,N+1):
  inv_t += [inv_t[MOD % i] * (MOD - int(MOD / i)) % MOD]
for i in range(1,31):
    comb[i]=comb[i-1]*(n-1+i)*inv_t[i]
    comb[i]%=MOD
count=1
for fact,num in arr:
    #print(fact,num,comb[num])
    count*=comb[num]
    count%=MOD
print(count)

Fixed code:
n,m=map(int,input().split())
MOD=10**9+7
def factorization(n):
    arr = []
    temp = n
    if n==1:
        return arr
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append((i, cnt))

    if temp!=1:
        arr.append((temp, 1))

    if arr==[]:
        arr.append((n, 1))

    return arr
arr=factorization(m)
#print(arr)
l=len(arr)
N=30
comb=[1]*31
inv_t = [0]+[1]
for i in range(2,N+1):
  inv_t += [inv_t[MOD % i] * (MOD - int(MOD / i)) % MOD]
for i in range(1,31):
    comb[i]=comb[i-1]*(n-1+i)*inv_t[i]
    comb[i]%=MOD
count=1
for fact,num in arr:
    #print(fact,num,comb[num])
    count*=comb[num]
    count%=MOD
print(count)
Buggy code:
from operator import mul
from functools import reduce
import math
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
import itertools
N,M = [int(x) for x in input().split()]
e = [0]*(int(math.sqrt(M)) + 1)
for j in range(2,int(math.sqrt(M)) + 1):
  while M%j==0:
    e[j] += 1
    M = M//j
ans = 1
for i in e:
  ans *=cmb(i+N-1,i)
  ans %=10**9+7
print(ans)

Fixed code:
from operator import mul
from functools import reduce
import math
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
import itertools
N,M = [int(x) for x in input().split()]
e = {}
for j in range(2,int(math.sqrt(M)) +2):
  cnt=0
  while M%j==0:
    cnt+= 1
    M = M//j
  if cnt!=0:
    e[j]=cnt
if M!=1:
  e[M]=1


ans = 1
for i in e.values():
  ans *=cmb(i+N-1,i)
  ans %=10**9+7
print(ans)
Buggy code:
n, m = [int(i) for i in input().split()]


def fact(x):
    a = []
    for i in range(2, int(x ** 0.5) + 1):
        if x % i == 0:
            j = 0
            while x % i == 0:
                x //= i
                j += 1
        a.append((i, j))
    if x != 1:
        a.append((x,1))
    return a


f = fact(m)


def conv(a, b):
    c = 1
    for i in range(b, b - a, -1):
        c *= i
    for i in range(1, a + 1):
        c //= i
    return c % (10 ** 9 + 7)


ans = 1
for i in f:
    ans *= conv(n - 1, n + i[1] - 1)
    ans %= 10 ** 9 + 7
print(ans)


Fixed code:
n, m = [int(i) for i in input().split()]
prime = 10 ** 9 + 7

def fact(x):
    a = []
    for i in range(2, int(x ** 0.5) + 1):
        if x % i == 0:
            j = 0
            while x % i == 0:
                x //= i
                j += 1
            a.append((i, j))
    if x != 1:
        a.append((x,1))
    return a


f = fact(m)
def kai(x):
    a = 1
    for i in range(a, x + 1):
        a *= i
        a %= prime
    return a

def conv(a, b):
    c = kai(b)
    c *= pow(kai(a), prime - 2, prime)
    c %= prime
    c *= pow(kai(b - a), prime - 2, prime)
    return c % prime


ans = 1
for i in f:
    ans *= conv(n - 1, n + i[1] - 1)
    ans %= prime
print(ans)
Buggy code:
import sys
import math
def input():
    return sys.stdin.readline()[:-1]

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

def trial_division(n):
    factor = []
    tmp = int(math.sqrt(n)) + 1
    for num in range(2,tmp):
        while n % num == 0:
            n //= num
            factor.append(num)
    if n!=1:
        factor.append(n)
    return factor

n,m=map(int,input().split())
mod=10**9+7
li=trial_division(m)
tmp=li[0]
countli=[]
count=1
for i in range(1,len(li)):
    if tmp!=li[i]:
        countli.append(count)
        count=1
    else:
        count+=1
    tmp=li[i]
countli.append(count)
ans=1
for i in range(len(countli)):
    ans*=combinations_count(countli[i]+n-1,countli[i])
print(ans)

Fixed code:
import sys
import math
def input():
    return sys.stdin.readline()[:-1]

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

def trial_division(n):
    factor = []
    tmp = int(math.sqrt(n)) + 1
    for num in range(2,tmp):
        while n % num == 0:
            n //= num
            factor.append(num)
    if n!=1:
        factor.append(n)
    return factor

n,m=map(int,input().split())
mod=10**9+7
if m==1:
    print(1)
    quit()
li=trial_division(m)
tmp=li[0]
countli=[]
count=1
for i in range(1,len(li)):
    if tmp!=li[i]:
        countli.append(count)
        count=1
    else:
        count+=1
    tmp=li[i]
countli.append(count)
ans=1
for i in range(len(countli)):
    ans*=combinations_count(countli[i]+n-1,countli[i])
print(ans%mod)
Buggy code:
import math

N, M = map(int, input().split())
yakusu = dict()
sqrt_M = int(math.sqrt(M))
for i in range(2, sqrt_M + 1):
    count = 0
    while M % i == 0:
        count += 1
        M //= i
    if count > 0:
        yakusu[i] = count
if M > 1:
    yakusu[M] = 1


def nCr(n, r):
    if r > n - r:
        return nCr(n, n - r)
    ans = 1
    for i in range(n, n-r, -1):
        ans *= i
    for i in range(1, r+1):
        ans //= i
    return ans


ans = 1
MOD = 10 ** 9 + 7
for n in yakusu.values():
    print(n)
    ans *= nCr(n + N - 1, N - 1)
    ans %= MOD

print(ans)


Fixed code:
import math

N, M = map(int, input().split())
yakusu = dict()
sqrt_M = int(math.sqrt(M))
for i in range(2, sqrt_M + 1):
    count = 0
    while M % i == 0:
        count += 1
        M //= i
    if count > 0:
        yakusu[i] = count
if M > 1:
    yakusu[M] = 1


def nCr(n, r):
    if r > n - r:
        return nCr(n, n - r)
    ans = 1
    for i in range(n, n-r, -1):
        ans *= i
    for i in range(1, r+1):
        ans //= i
    return ans


ans = 1
MOD = 10 ** 9 + 7
for n in yakusu.values():
    ans *= nCr(n + N - 1, N - 1)
    ans %= MOD

print(ans)
Buggy code:
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

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

def fact(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

    if arr==[]:
        arr.append([n, 1])

    return arr

l = fact(m)
ans = 1

if len(l) == 1:
    print(1)
    exit()

for i in range(len(l)):
    b = l[i][1]
    print(cmb(100000, 1))
    ans *= cmb(b+n-1, b)
    ans %= MOD

print(ans)

Fixed code:
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

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

def fact(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

    if arr==[]:
        arr.append([n, 1])

    return arr

l = fact(m)
ans = 1

if l[0][0] == 1 and len(l) == 1:
    print(1)
    exit()

for i in range(len(l)):
    b = l[i][1]
    ans *= cmb(b+n-1, b)
    ans %= MOD

print(ans)