qyliang/CodeNanoFix huggingface dataset:
Buggy code:
def is_prime(q):
    if q < 2 or q&1 == 0: return False
    return pow(5, q-1, q)*pow(7, q-1, q) == 1
  
def main():
  mod = 10**9+7
  n = int(input())
  ans = 1
  if n == 1:
    print(1)
    exit()
  
  b = [2]
  for i in range(2,min(n,998)):
    if i == 5 or i == 7:
      b.append(i)
    if i == 561:
      continue
    if is_prime(i):
      b.append(i)
  
  for i in b:
    p = i
    cnt = 1
    chk = 1
    for j in range(10):
      chk += n//p
      if p > n:
        ans *= chk
        ans %= mod
        chk = 1
        break
      p *= i
      
  print(ans)

if __name__ == '__main__':
    main()

Fixed code:
def is_prime(q):
    if q < 2 or q&1 == 0: return False
    return pow(5, q-1, q)*pow(7, q-1, q) == 1
  
def main():
  mod = 10**9+7
  n = int(input())
  ans = 1
  if n == 1:
    print(1)
    exit()
  
  b = [2]
  for i in range(2,min(n+1,998)):
    if i == 5 or i == 7:
      b.append(i)
    if i == 561:
      continue
    if is_prime(i):
      b.append(i)
      
  for i in b:
    p = i
    cnt = 1
    chk = 1
    for j in range(10):
      chk += n//p
      if p > n:
        ans *= chk
        ans %= mod
        chk = 1
        break
      p *= i
      
  print(ans)

if __name__ == '__main__':
    main()
Buggy code:
N = int(input())

import math

def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a

num = prime_factorize(math.factorial(N))
ans = 1
num_list = set(num)

for x in num_list:
    ans *= (num.count(x) + 1)
    
print(ans)

Fixed code:
N = int(input())

import math

def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a

num = prime_factorize(math.factorial(N))
ans = 1
num_list = set(num)

mod = 10**9+7

for x in num_list:
    ans = ans*(num.count(x)+1)%mod
    
print(ans)
Buggy code:
mod=10**9+7
N=int(input())
M=1
y=[1 for k in range(N)]
for k in range(2,N+1):
    for j in range(2,k+1):
        if k=1:
            break
        if k%j ==0:
            count=0
            while k%j==0:
                k=k//j
                count+=1
            y[j-1]+=count
ans=1
for k in range(len(y)):
    ans=ans*y[k]%mod
print(ans)

Fixed code:
mod=10**9+7
N=int(input())
M=1
y=[1 for k in range(N)]
for k in range(2,N+1):
    for j in range(2,k+1):
        if k%j ==0:
            count=0
            while k%j==0:
                k=k//j
                count+=1
            y[j-1]+=count
ans=1
for k in range(len(y)):
    ans=ans*y[k]%mod
print(ans)
Buggy code:
N = int(input())
mod = 10**9+7
s = [0] * (n+1)

for i in range(2, n+1):
    p = 2
    while i>1:
        while i%p==0:
            i //= p
            s[p] += 1
        p += 1

print(s)
ans = 1
for i in s:
    ans *= i+1
    ans %= mod

print(ans)

Fixed code:
n = int(input())
mod = 10**9+7
s = [0] * (n+1)

for i in range(2, n+1):
    p = 2
    while i>1:
        while i%p==0:
            i //= p
            s[p] += 1
        p += 1

ans = 1
for i in s:
    ans *= i+1
    ans %= mod

print(ans)
Buggy code:

import math
from collections import Counter
from collections import defaultdict
mod = 10**9+7 

def prime(n):
  for i in range(2, math.ceil(math.sqrt(n))+1):
    while n % i == 0:
      n /= i
      prime_count[i] += 1
  if n > 1:
    prime_count[int(n)] += 1

n = int(input())
a = 1
prime_count = defaultdict(int)
for i in range(1, n+1):
  prime(i)

print(prime_count)
ans = 1
for v in prime_count.values():
  ans *= (v+1)
  ans %= mod 
print(ans)





Fixed code:

import math
from collections import Counter
from collections import defaultdict
mod = 10**9+7 

def prime(n):
  for i in range(2, math.ceil(math.sqrt(n))+1):
    while n % i == 0:
      n /= i
      prime_count[i] += 1
  if n > 1:
    prime_count[int(n)] += 1

n = int(input())
a = 1
prime_count = defaultdict(int)
for i in range(1, n+1):
  prime(i)

ans = 1
for v in prime_count.values():
  ans *= (v+1)
  ans %= mod 
print(ans)
Buggy code:
n=int(input())
N=1
for i in range(1,n+1):
    N*=i
    
array=[]
while N!=1:
    turn=0
    for i in range(2,N+1):
        if N%i==0:
            N=N//i
            array.append(i)
            break
ans=1
import collections
c=collections.Counter(array)
l=list(c.values())
for i in range(len(l)):
    ans*=l[i]+1
print(ans%(10**9+1))
    


Fixed code:
n=int(input())
array=[]
for i in range(2,n+1):
    s=i
    while s!=1:
        turn=0
        for j in range(2,s+1):
            if s%j==0:
                s=s//j
                array.append(j)
                break
ans=1
import collections
c=collections.Counter(array)
l=list(c.values())
for i in range(len(l)):
    ans*=l[i]+1
print(ans%(10**9+7))
Buggy code:
def prime_factorize(n):
  a = []
  while n % 2 == 0:
    a.append(2)
    n //= 2
  f = 3
  while f * f <= n:
    if n % f == 0:
      a.append(f)
      n //= f
    else:
      f += 2
    if n != 1:
      a.append(n)
  return a

n=int(input())

x=[0]*1000
for i in range(2,n+1):
  for _ in prime_factorize(i):
    x[_]+=1

ans=1
for _ in x:
  if _ > 0:
    ans=(ans*(_+1))%(10**9+7)

print(ans)
    
x.sort()







Fixed code:
def prime_factorize(n):
  a = []
  while n % 2 == 0:
    a.append(2)
    n //= 2
  f = 3
  while f * f <= n:
    if n % f == 0:
      a.append(f)
      n //= f
    else:
      f += 2
  if n != 1:
      a.append(n)
  return a

n=int(input())

x=[0]*1000
for i in range(2,n+1):
  p=prime_factorize(i)
  for _ in p:
    x[_]+=1

ans=1
for _ in x:
  if _ > 0:
    ans=(ans*(_+1))%(10**9+7)

print(ans)
Buggy code:
N=int(input())
b=1
for a in range(1,N+1):
    b*=a
numbers=[2]
for c in range(3,N+1):
    count=0
    for d in numbers:
        if not c%d==0:
            count+=1
        else:
            pass
    if count==len(numbers):
        numbers.append(c)
    else:
        pass
answers=[]
while b>1:
    for e in numbers:
        kazu=0
        while b%e==0:
            b=b/e
            kazu+=1
        answers.append(kazu)
kotae=1
for f in answers:
    kotae*=(f+1)
print(kotae)


Fixed code:
N=int(input())
b=1
for a in range(1,N+1):
    b*=a
numbers=[2]
for c in range(3,N+1):
    count=0
    for d in numbers:
        if not c%d==0:
            count+=1
        else:
            pass
    if count==len(numbers):
        numbers.append(c)
    else:
        pass
answers=[]
while b>1:
    for e in numbers:
        kazu=0
        while b%e==0:
            b=b//e
            kazu+=1
        answers.append(kazu)
kotae=1
for f in answers:
    kotae*=(f+1)
print(kotae%(10**9+7))
Buggy code:
n = int(input())
for i in range(1, n+1):
    num = 2
    while i != 1:
        if i % num==0:
            i //= num
            l.append(num)
        else:
            num += 1
ans = 1
for i in set(l):
    ans *= (l.count(i) + 1) % (10**9+7)
print(ans)

Fixed code:
n = int(input())
l = []
for i in range(1, n+1):
    num = 2
    while i != 1:
        if i % num==0:
            i //= num
            l.append(num)
        else:
            num += 1
ans = 1
for i in set(l):
    ans *= (l.count(i) + 1) % (10**9+7)
print(ans% (10**9+7))
Buggy code:
N = int(input())
insu_list = [[2, 0]]
ans = 1

for i in range(N):
    n = i+1
    for j in range(len(insu_list)):
        while n % insu_list[j][0] == 0:
            n /=insu_list[j][0]
            insu_list[j][1] += 1
    if n != 1:
        insu_list.append([n, 1])
print(insu_list)
for i in range(len(insu_list)):
    ans *= insu_list[i][1] + 1
print(ans)

Fixed code:
N = int(input())
insu_list = [[2, 0]]
ans = 1

for i in range(N):
    n = i+1
    for j in range(len(insu_list)):
        while n % insu_list[j][0] == 0:
            n /=insu_list[j][0]
            insu_list[j][1] += 1
    if n != 1:
        insu_list.append([n, 1])
for i in range(len(insu_list)):
    ans *= insu_list[i][1] + 1
print(ans%(10**9+7))
Buggy code:
import math

N = int(input())

class remainder():
    def __init__(self, mod=(10**9 + 7)):
        self.mod = mod
    
    def mul(self, a, b):
        return ((a % self.mod) * (b % self.mod)) % self.mod

    def pow(self, a, b):
        bp = []
        #bp.append(1)
        bp.append(a)

        n = len(bin(b)) - 2
        for x in range(n):
            bp.append(bp[x]**2 % self.mod)

        res = 1
        for x in range(n):
            if b >> x & 1:
                res = (res * bp[x]) % self.mod
        
        return res

    def div(self, a, b):
        
        return self.mul(a, self.pow(b, self.mod - 2))


def findAllOfPrime(N):
    prime = [True] * (N + 1)
    prime[0] = False
    prime[1] = False

    x = 2
    while x**2 <= N:
        if prime[x]:
            j = 2
            while x * j <= N:
                prime[x * j] = False
                j += 1
        x += 1

    return prime

re = remainder()
primes = set()
for n in range(1, N + 1):
    prime = findAllOfPrime(n)
    for i, p in enumerate(prime):
        if p:
            primes.add(i)

print(primes)

A = math.factorial(N)
ans = 1
for p in primes:
    cnt = 1
    while A % p == 0:
        cnt += 1
        A //= p
    ans = re.mul(ans, cnt)
print(ans)




Fixed code:
import math

N = int(input())

class remainder():
    def __init__(self, mod=(10**9 + 7)):
        self.mod = mod
    
    def mul(self, a, b):
        return ((a % self.mod) * (b % self.mod)) % self.mod

    def pow(self, a, b):
        bp = []
        #bp.append(1)
        bp.append(a)

        n = len(bin(b)) - 2
        for x in range(n):
            bp.append(bp[x]**2 % self.mod)

        res = 1
        for x in range(n):
            if b >> x & 1:
                res = (res * bp[x]) % self.mod
        
        return res

    def div(self, a, b):
        
        return self.mul(a, self.pow(b, self.mod - 2))


def findAllOfPrime(N):
    prime = [True] * (N + 1)
    prime[0] = False
    prime[1] = False

    x = 2
    while x**2 <= N:
        if prime[x]:
            j = 2
            while x * j <= N:
                prime[x * j] = False
                j += 1
        x += 1

    return prime

re = remainder()
primes = set()
for n in range(1, N + 1):
    prime = findAllOfPrime(n)
    for i, p in enumerate(prime):
        if p:
            primes.add(i)

A = math.factorial(N)
ans = 1
for p in primes:
    cnt = 1
    while A % p == 0:
        cnt += 1
        A //= p
    ans = re.mul(ans, cnt)
print(ans)
Buggy code:
def prime(p):
  if p == 2:
    return True
  else:
    count = 0
    for i in range(1, int(p ** 0.5), 2):
      if p % i == 0:
        count += 1
    if count == 1:
      return True
    else:
      return False
N = int(input())
if N == 1:
  print(1)
else:
  p_list = []
  for j in range(2, N + 1):
    if prime(j):
      p_list.append(j)
  l = []
  for p in p_list:
    k = 1
    add = 0
    while N // (p ** k):
      add += N // (p ** k)
      k += 1
    l.append(add + 1)
  for r in l:
    ans *= r % (10 ** 9 + 7)
  print(ans)

Fixed code:
def prim(p):
  if p == 2:
    return True
  else:
    flg = False
    count = 0
    for i in range(1, int(p ** 0.5) + 1):
      if p % i == 0:
        count += 1
    if count == 1:
      flg = True
    return flg
N = int(input())
if N == 1:
  print(1)
else:
  p_list = []
  for j in range(2, N + 1):
    if prim(j):
      p_list.append(j)
  l = []
  for p in p_list:
    k = 1
    add = 0
    while N // (p ** k):
      add += N // (p ** k)
      k += 1
    l.append(add + 1)
  ans = 1
  for r in l:
    ans *= r
    ans = ans % (10 ** 9 + 7)
  print(ans)
Buggy code:
import math

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

n = int(input())
mod = 10 ** 9 + 7

l = [0] * (n + 1)

for i in ranfge(1, n + 1):
  soi = factorize(i)
  for j in range(len(soi)):
    l[soi[j][0]] += soi[j][1]

ans = 1
for i in range(1, n + 1):
  ans = ans * (l[i] + 1) % mod

print(ans)


Fixed code:
import math
 
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
 
n = int(input())
mod = 10 ** 9 + 7
 
l = [0] * (n + 1)
 
for i in range(1, n + 1):
  soi = factorize(i)
  for j in range(len(soi)):
    l[soi[j][0]] += soi[j][1]
 
ans = 1
for i in range(1, n + 1):
  ans = ans * (l[i] + 1) % mod
 
print(ans)
Buggy code:
n = int(input())
l = []
for i in range(1, n+1):
    num = 2
    while i != 1:
        if i % num==0:
            i //= num
            l.append(num)
        else:
            num += 1
ans = 1
for i in set(l):
    ans *= (l.count(i) + 1) % (10**9+7)
print(ans)

Fixed code:
n = int(input())
s, ans, num = 1, 1, 2
for i in range(2, n+1):
  s *= i
l = []
while s != 1:
  if not s % num:
    l.append(num)
    s //= num
  else:
    num += 1
for i in set(l):
  ans *= l.count(i)+1
print(ans%(10**9+7))
Buggy code:
from collections import Counter
def prime_decomposition(n):
  i = 2
  table = []
  while i * i <= n:
    while n % i == 0:
      n /= i
      table.append(i)
    i += 1
  if n > 1:
    table.append(n)
  return table

n = int(input())
insu = []
for i in range(2, n+1):
  insu = insu + prime_decomposition(i)
insu_c = Counter(insu)

r = 1

for c in insu_c.values():
  r *= (c+1)
print(r)

Fixed code:
from collections import Counter
def prime_decomposition(n):
  i = 2
  table = []
  while i * i <= n:
    while n % i == 0:
      n /= i
      table.append(i)
    i += 1
  if n > 1:
    table.append(n)
  return table

n = int(input())
insu = []
for i in range(2, n+1):
  insu = insu + prime_decomposition(i)
insu_c = Counter(insu)

r = 1
mod = 10**9 + 7
for c in insu_c.values():
  r *= (c+1)
  r %= mod
print(r)
Buggy code:
import collections

n = int(input())


def prime_factorize_n(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a


k = []
for i in range(1, n + 1):
    k = k + prime_factorize_n(i)
c = collections.Counter(k)
d = c.most_common()
ans = 1

for k, v in d:
    ans *= (v + 1) % (10 ** 9 + 7)
print(ans)


Fixed code:
import collections

n = int(input())


def prime_factorize_n(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a


k = []
for i in range(1, n + 1):
    k = k + prime_factorize_n(i)
c = collections.Counter(k)
d = c.most_common()
ans = 1

for k, v in d:
    ans = (ans*(v + 1)) % (10 ** 9 + 7)
print(ans)
Buggy code:
n=int(input())
def factorization(n):
  primen = []
  degree = []
  primend = []
  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
      primen.append(i)
      degree.append(cnt)
      primend.append([i,cnt])
  if temp!=1:
    primen.append(temp)
    degree.append(1)
    primend.append([temp,1])
  if primen==[]:
    primen.append(n)
    degree.append(1)
    primend.append([n,1])
  return primend#primen,degree
pn=[0]*(n+1)
for i in range(1,n+1):
  for j in factorization(i):
    pn[j[0]]+=j[1]
ans = 1
for k in range(2,n+1):
  ans*=(pn[k]+1)%(10**9+7)
print(pn%(10**9+7))

Fixed code:
n=int(input())
def factorization(n):
  primen = []
  degree = []
  primend = []
  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
      primen.append(i)
      degree.append(cnt)
      primend.append([i,cnt])
  if temp!=1:
    primen.append(temp)
    degree.append(1)
    primend.append([temp,1])
  if primen==[]:
    primen.append(n)
    degree.append(1)
    primend.append([n,1])
  return primend#primen,degree
pn=[0]*(n+1)
for i in range(1,n+1):
  for j in factorization(i):
    pn[j[0]]+=j[1]
ans = 1
for k in range(2,n+1):
  ans*=(pn[k]+1)%(10**9+7)
print(ans%(10**9+7))
Buggy code:
from math import factorial

N = int(input())
mod = 10**9+7
fn = factorial(N)

ans = 1
for i in range(2, N+1):
    print(fn)
    count = 1
    while fn % i == 0:
        count += 1 
        fn //= i 
    ans *= count
print(ans%mod)

Fixed code:
from math import factorial

N = int(input())
mod = 10**9+7
fn = factorial(N)

ans = 1
for i in range(2, N+1):
    count = 1
    while fn % i == 0:
        count += 1 
        fn //= i 
    ans *= count
print(ans%mod)
Buggy code:
def prm(a):
  if a==1:
    return False
  for i in range(2,int(a**0.5+1)):
    if a%i==0:
      return False
  else:
    return True
x=int(input())
d=[1]*(x+1)
for i in range(1,x+1):
  if prm(i):
    d[i]+=1
  else:
    while not prm(i):
      for j in range(2,i):
        if i%j==0:
          d[j]+=1
          i=i//j
          break
ans=0
for i in range(x+1):
  ans = ans * d[i] % (10**9+7)
print(ans)

Fixed code:
def prm(a):
  if a==1 or a == 4:
    return False
  for i in range(2,int(a**0.5+1)):
    if a%i==0:
      return False
  else:
    return True
x=int(input())
d=[1]*(x+1)
for i in range(1,x+1):
  if prm(i):
    d[i]+=1
  else:
    while not prm(i) and i != 1:
      for j in range(2,i):
        if i%j==0:
          d[j]+=1
          i=i//j
          break
    if i!= 1:
      d[i]+=1
ans=1

for i in range(x+1):
  ans = ans * d[i] % (10**9+7)
print(ans)
Buggy code:
def sieve(n):
    is_prime = [True for _ in range(n+1)]
    is_prime[0] = False

    for i in range(2, n+1):
        if is_prime[i-1]:
            j = 2 * i
            while j <= n:
                is_prime[j-1] = False
                j += i
    table = [ i for i in range(1, n+1) if is_prime[i-1]]
    return is_prime, table
N=int(input())
_, table = sieve(N)
d={}
for p in table:
    sum_=0
    calc=p
    while calc < N:
        sum_ += N//calc
        calc *= p
    d[p] = sum_
    
lim = 10**9+7
ans=1
for i in d.values():
    ans = (ans * (i+1)) % lim
print(ans)

Fixed code:
def sieve(n):
    is_prime = [True for _ in range(n+1)]
    is_prime[0] = False

    for i in range(2, n+1):
        if is_prime[i-1]:
            j = 2 * i
            while j <= n:
                is_prime[j-1] = False
                j += i
    table = [ i for i in range(1, n+1) if is_prime[i-1]]
    return is_prime, table
N=int(input())
_, table = sieve(N)
d={}
for p in table:
    sum_=0
    calc=p
    while calc <= N:
        sum_ += N//calc
        calc *= p
    d[p] = sum_
    
lim = 10**9+7
ans=1
for i in d.values():
    ans = (ans * (i+1)) % lim
print(ans)
Buggy code:
import sys
from functools import reduce
import copy
import math
from pprint import pprint
import collections
import bisect
import itertools


sys.setrecursionlimit(4100000)


def inputs(num_of_input):
    ins = [input() for i in range(num_of_input)]
    return ins


def int_inputs(num_of_input):
    ins = [int(input()) for i in range(num_of_input)]
    return ins


def solve(inputs):
    N = int(inputs[0])
    SSSS = 1000000007
    count = collections.Counter()

    for i in range(1, N+1):
        target = i
        is_end = False
        while not is_end:
            is_end = True
            for j in range(2, int(math.sqrt(target)+1)):
                if target % j == 0:
                    count[j] += 1
                    target = target // j
                    is_end = False
                    break
            if is_end and target != 1:
                count[target] += 1
    c = 1
    for k, v in count.items():
        c *= (v + 1)
        c = c % SSSS
    return c


def string_to_int(string):
    return list(map(lambda x: int(x), string.split()))


if __name__ == "__main__":
    N = int(input())
    ret = solve(inputs(N-1))
    for r in ret:
        print(r)


Fixed code:
import sys
from functools import reduce
import copy
import math
from pprint import pprint
import collections
import bisect
import itertools


sys.setrecursionlimit(4100000)


def inputs(num_of_input):
    ins = [input() for i in range(num_of_input)]
    return ins


def int_inputs(num_of_input):
    ins = [int(input()) for i in range(num_of_input)]
    return ins


def solve(inputs):
    N = int(inputs[0])
    SSSS = 1000000007
    count = collections.Counter()

    for i in range(1, N+1):
        target = i
        is_end = False
        while not is_end:
            is_end = True
            for j in range(2, int(math.sqrt(target)+1)):
                if target % j == 0:
                    count[j] += 1
                    target = target // j
                    is_end = False
                    break
            if is_end and target != 1:
                count[target] += 1
    c = 1
    for k, v in count.items():
        c *= (v + 1)
        c = c % SSSS
    return c


def string_to_int(string):
    return list(map(lambda x: int(x), string.split()))


if __name__ == "__main__":
    ret = solve(inputs(1))
    print(ret)
Buggy code:
n = int(input())

def prime(n):
    ret = True
    for i in range(1, int(n**0.5) + 1):
        if i != 1 and n % i == 0:
            ret = False
            break
    return ret

def factors(p, n):
    ret = 0
    while p <= n:
        ret += n // p
        p *= p
    return ret

ans = 1
for i in range(2, n+1):
    if prime(i):
        ans = ans * (factors(i, n) + 1) % (10**9 + 7)
print(ans)



Fixed code:
n = int(input())

def prime(n):
    ret = True
    for i in range(1, int(n**0.5) + 1):
        if i != 1 and n % i == 0:
            ret = False
            break
    return ret

def factors(p, n):
    a = p
    ret = 0
    while p <= n:
        ret += n // p
        p *= a
    return ret

ans = 1
for i in range(2, n+1):
    if prime(i):
        ans = ans * (factors(i, n) + 1) % (10**9 + 7)
print(ans)
Buggy code:
import math
N = int(input())
d = math.factorial(N)

k, ans = 1, 1
for i in range(1, N + 1):
    while d % i == 0:
        d //= i
        k += 1
    ans *= k
    k = 1
print(ans % (10**9 + 7))


Fixed code:
import math
N = int(input())
d = math.factorial(N)

k, ans = 1, 1
for i in range(2, N + 1):
    while d % i == 0:
        d //= i
        k += 1
    ans *= k
    k = 1
print(ans % (10**9 + 7))
Buggy code:
import math
n=int(input())
d=math.factorial(n)
k=1
ans=1
for i in range(2,n+1):
  while d%i==0:
    d//=i
    k+=1
  ans*=k
  k=1
print(ans)

Fixed code:
import math
n=int(input())
d=math.factorial(n)
k=1
ans=1
for i in range(2,n+1):
  while d%i==0:
    d//=i
    k+=1
  ans*=k
  k=1
print(ans%(10**9+7))
Buggy code:
N = int(input())


def fac(n):
    att = []
    t = n
    for i in range(2, int(-(-n ** 0.5 // 1) + 1)):
        c = 0
        while (t % i == 0):
            c += 1
            t //= i
        if c:
            att += [[i, c]]
    if att == []:
        att += [[t, 1]]
    return att


MOD = 10 ** 9 + 7
t = 0
memo = {}
t1, t2 = 0, 1
for i in range(2, N + 1):
    fl = fac(i)
    for f in fl:
        if f[0] in memo:
            memo[f[0]] += f[1]
        else:
            memo[f[0]] = f[1]
for m in memo:
    t2 = (t2 * (memo[m] + 1)) % MOD
t += t1 + t2
t %= MOD
print(t)


Fixed code:
N = int(input())


def fac(n):
    att = []
    t = n
    for i in range(2, int(-(-n ** 0.5 // 1) + 1)):
        c = 0
        while (t % i == 0):
            c += 1
            t //= i
        if c:
            att += [[i, c]]
    if t != 1:
        att += [[t, 1]]
    if att == []:
        att += [[n, 1]]
    return att


MOD = 10 ** 9 + 7
t = 1
memo = {}
for i in range(2, N + 1):
    fl = fac(i)
    for f in fl:
        if f[0] in memo:
            memo[f[0]] += f[1]
        else:
            memo[f[0]] = f[1]
for m in memo:
    t = (t * (memo[m] + 1)) % MOD
t %= MOD
print(t)