qyliang/CodeNanoFix huggingface dataset:
Buggy code:
rom numpy import sqrt
def factorization(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

n = int(input())
fac = factorization(n)
s = 0
for i in fac:
    s += (-1+sqrt(1+4*i[1]*2))//2
print(int(s))

Fixed code:
from math import sqrt
def factorization(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

n = int(input())
fac = factorization(n)
s = 0
for i in fac:
    if i[0] != 1:
        s += (-1+sqrt(1+4*i[1]*2))//2
print(int(s))
Buggy code:
from sys import stdin
import math

a=int(stdin.readline())
PP=0
K=0

if a==1:
    print(0)
    K=1
L=list()

for b in range(2,int(math.floor(math.sqrt(a)))):
    count=0
    if a%b==0:
        while a%b==0:
            count+=1
            a=a/b
    L.append(count)

if len(L)==0 and K==0:
    print(1)
    PP=1
sum=0
for k in range(0,len(L)):
    p=L[k]
    sum+=int(math.floor((-1+math.sqrt(1+8*p))/2))

if PP==0 and K==0:
   print(sum)

Fixed code:
from sys import stdin
import math

a=int(stdin.readline())
PP=0
K=0

if a==1:
    print(0)
    K=1
L=list()


for b in range(2,int(math.floor(math.sqrt(a)))+1):
    count=0
    if a%b==0:
        while a%b==0:
            count+=1
            a=a/b
    if count>0:
       L.append(count)


if len(L)==0 and K==0:
    print(1)
    PP=1

if a!=1:
    L.append(1)

sum=0

for k in range(0,len(L)):
    p=L[k]
    sum+=int(math.floor((-1+math.sqrt(1+8*p))/2))


if PP==0 and K==0:
   print(sum)
Buggy code:
def p(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())
a=p(n)
d={}
for i in a:
  d[i]=d.get(i,0)+1
b=list(d.values())
ans=0
d=[1]*50
for i in range(1,50):
    d[i]=d[i-1]+i
for i in b:
    c=0
    while d[c]<i:
        c+=1
    ans+=c    
print(ans)

Fixed code:
def p(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())
a=p(n)
d={}
for i in a:
  d[i]=d.get(i,0)+1
b=list(d.values())
ans=0
d=[0]*50
for i in range(1,50):
    d[i]=d[i-1]+i
for i in b:
    c=sum(j<=i for j in d)-1
    ans+=c    
print(ans)
Buggy code:
n=int(input())
r=int(n**0.5+1)
ans=0
for i in range(2,r):
  e=0
  while n%i==0:
    n//=i
    e+=1
  k=1
  while e>k:
    e-=k
    ans+=1
    k+=1
if n!=1:
  ans+=1
print(ans)



Fixed code:
n=int(input())
r=int(n**0.5+1)
ans=0
for i in range(2,r):
  e=0
  while n%i==0:
    n//=i
    e+=1
  k=1
  while e>=k:
    e-=k
    ans+=1
    k+=1
if n!=1:
  ans+=1
print(ans)
Buggy code:
arr = []
temp = int(input())
su =0
for i in range(2, int(-(-temp**0.5//1))+1):
  if temp%i==0:
    cnt=0
    while temp%i==0:
      cnt+=1
      temp //= i
    arr.append(cnt)
    
     
     
      

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


for t in range(len(arr)):
  cnt =1
  while arr[t] -cnt>=0:
    arr[t] -=cnt
    su +=1
    cnt +=1
    
   
print(su)

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

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


for t in range(len(arr)):
  cnt =1
  while arr[t] -cnt>=0:
    arr[t] -=cnt
    su +=1
    cnt +=1
    
   
print(su)
Buggy code:
import collections
import math

n = int(input())
B = [1,2,6,10,15,21,28,36,45,55]
ans = 0

def is_prime(n):
    if n == 1: return False

    for k in range(2, int(math.sqrt(n)) + 1):
        if n % k == 0:
            return False
    return True
if is_prime(n) == True:
  print(1)
  exit()

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

c = collections.Counter(prime_factorize(n))  

for v in c.values():
  for j in range(len(B)):
    if v < B[j]:
      ans += j
      break

print(ans)

Fixed code:
import collections
import math

n = int(input())
B = [1,3,6,10,15,21,28,36,45,55,66,78,91,105]
ans = 0

def is_prime(n):
    if n == 1: return False

    for k in range(2, int(math.sqrt(n)) + 1):
        if n % k == 0:
            return False
    return True
if is_prime(n) == True:
  print(1)
  exit()

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

c = collections.Counter(prime_factorize(n))  
for v in c.values():
  for j in range(len(B)):
    if v < B[j]:
      ans += j
      break
      
print(ans)
Buggy code:
import collections

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

def main():
    n = int(input())
    if n == 1:
        print(0)
        exit()

    d = collections.Counter(prime_factorize(n))
    #print(d)

    ans = 0
    for _, cnt in d.items():
        now = 1
        while cnt > 0:
            cnt -= now
            now += 1
            ans += 1
    print(ans)







if __name__ == "__main__":
    main()


Fixed code:
import collections

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

def main():
    n = int(input())
    if n == 1:
        print(0)
        exit()

    d = collections.Counter(prime_factorize(n))
    #print(d)

    ans = 0
    for _, cnt in d.items():
        now = 1
        while cnt >= now:
            #print("cnt:",cnt,"now:",now)
            cnt -= now
            now += 1
            ans += 1
    print(ans)

if __name__ == "__main__":
    main()
Buggy code:
#import math
N = int(input())
def factorization(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

if N == 0:
  print(0)
  exit()
lst = factorization(N)
res = 0
for i in range(len(lst)):
  a = lst[i][1]
  k = 1
  while True:
    if a - k < -0.5:
      break
    a -= k
    res += 1
    k += 1
print(res)



Fixed code:
#import math
N = int(input())
def factorization(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

if N == 1:
  print(0)
  exit()
lst = factorization(N)
res = 0
for i in range(len(lst)):
  a = lst[i][1]
  for k in range(1, 10** 5):
    if a >= k:
      a -= k
      res += 1
    else:
      break
print(res)
Buggy code:
a =int(input())
list = []
b = 1
for i in range(2,44):
    list.append(b)
    b = b + i
n = 0
e = 0
k = 0
for i in range(2,1000000):
    if (a % i == 0):
        warikaisi = True
        while(warikaisi):
            if a % i == 0:
                list.append(i)
                a = a / i
                e = e + 1
                if (e == list[k]):
                    n = n + 1
                    k = k + 1
            else:
                e = 0
                k = 0
                warikaisi = False
print(n)

Fixed code:
a =int(input())
list = []
b = 1
for i in range(2,44):
    list.append(b)
    b = b + i
n = 0
e = 0
k = 0
for i in range(2,1000000):
    if (a % i == 0):
        warikaisi = True
        while(warikaisi):
            if a % i == 0:
                list.append(i)
                a = a / i
                e = e + 1
                if (e == list[k]):
                    n = n + 1
                    k = k + 1
            else:
                e = 0
                k = 0
                warikaisi = False
if (a >= 1000000):
    n = n + 1
print(n)
Buggy code:
#!/usr/bin/env python3

def factorization(n):
    arr = []
    tmp = n
    for i in range(2, int(n**0.5)+1):
        if tmp%i == 0:
            cnt = 0
            while tmp%i == 0:
                cnt += 1
                tmp //= i
            arr.append([i, cnt])
    if tmp!=1:
        arr.append([tmp, 1]) # n is prime
    if arr == []:
        arr.append([n, 1]) # n==1 only
    return arr

def tri(m):
    if m==1:
        return 1
    s = 0
    ans = 0
    for i in range(1, m):
        s += i
        if s > m:
             break
        ans += 1
    return ans

n = int(input())
ans = 0
fts = factorization(n)
for i in fts:
    ans += tri(i[1])
print(ans)


Fixed code:
#!/usr/bin/env python3

def factorization(n):
    arr = []
    tmp = n 
    for i in range(2, int(n**0.5)+1):
        if tmp%i == 0:
            cnt = 0 
            while tmp%i == 0:
                cnt += 1
                tmp //= i
            arr.append([i, cnt])
    if tmp!=1:
        arr.append([tmp, 1]) # n is prime
    if arr == []: 
        arr.append([n, 1]) # n==1 only
    return arr 

def tri(m):
    if m==1:
        return 1
    s = 0 
    ans = 0 
    for i in range(1, m): 
        s += i
        if s > m:
             break
        ans += 1
    return ans 

n = int(input())
ans = 0 
fts = factorization(n)
if n == 1:
    print(0)
    exit(0)
for i in fts:
    ans += tri(i[1])
print(ans)
Buggy code:
n = int(input())
ans = 0

d = 2
while d * d < n:
    if n % d != 0:
        d += 1
        continue

    e = d
    while n % e == 0:
        print(n, e)
        n //= e
        e *= d
        ans += 1

if n != 1:
    ans += 1

print(ans)

Fixed code:
n = int(input())
ans = 0

d = 2
while d * d < n:
    if n % d != 0:
        d += 1
        continue

    e = d
    while n % e == 0:
        n //= e
        e *= d
        ans += 1

    while n % d == 0:
        n //= d
if n != 1:
    ans += 1

print(ans)
Buggy code:
n = int(input())

def divisorize(fct):
    b, e = fct.pop()  # base, exponent
    pre_div = divisorize(fct) if fct else [[]]
    suf_div = [[(b, k)] for k in range(e + 1)]
    return [pre + suf for pre in pre_div for suf in suf_div]


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 num(fct):
    a = 1
    for base, exponent in fct:
        a = a * base**exponent
    return a


if n==1:
    print(1)
else:
    div = []
    count = 0
    fct = factorize(n)
    div += [num(div) for div in divisorize(fct)]
    div = sorted(div)
    #div = div
    for i in div[1:]:
        if n%i==0:
            n = n/i
            count += 1
        if n==1:
            break
    print(count)

Fixed code:
n = int(input())

def divisorize(fct):
    b, e = fct.pop()  # base, exponent
    pre_div = divisorize(fct) if fct else [[]]
    suf_div = [[(b, k)] for k in range(e + 1)]
    return [pre + suf for pre in pre_div for suf in suf_div]


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 num(fct):
    a = 1
    for base, exponent in fct:
        a = a * base**exponent
    return a


if n==1:
    print(0)
else:
    div = []
    count = 0
    fct = factorize(n)
    div += [num(div) for div in divisorize(fct)]
    div = sorted(div)
    #div = div
    for i in div[1:]:
        fct2 = factorize(i)
        if n%i==0 and len(fct2)==1:
            n = n/i
            count += 1
        if n==1:
            break
    print(count)
Buggy code:
# coding: utf-8
import sys

# from operator import itemgetter
sysread = sys.stdin.readline
read = sys.stdin.read
#from heapq import heappop, heappush
#from collections import defaultdict

sys.setrecursionlimit(10 ** 7)
# import math
# from itertools import product, accumulate, combinations, product
# import bisect# lower_bound etc
#import numpy as np
# from copy import deepcopy
#from collections import deque
#import numba
import math

def run():
    N = int(input())

    primes = []
    p = [0] * 1000000

    for i in range(2, 1000000):
        done = False
        m = int(i ** (1/2))
        for k in primes:
            if k > m:break
            if i % k == 0:
                done = True
                break
        if not done:
            primes.append(i)
            p[i] = 1


    count = 0

    for i in primes:
        if p[2]:
            s = i
            while True:
                if not N % s:

                    N = N // s
                    count += 1
                    s *= i

                else:break

    if count == 0 and N != 1:
        print(1)
    elif N != 1:
        print(count + 1)
    else:
        print(count)



if __name__ == "__main__":
    run()

Fixed code:
# coding: utf-8
import sys

# from operator import itemgetter
sysread = sys.stdin.readline
read = sys.stdin.read
#from heapq import heappop, heappush
#from collections import defaultdict

sys.setrecursionlimit(10 ** 7)
# import math
# from itertools import product, accumulate, combinations, product
# import bisect# lower_bound etc
#import numpy as np
# from copy import deepcopy
#from collections import deque
#import numba
import math

def run():
    N = int(input())

    primes = []
    p = [0] * 1000000

    for i in range(2, 1000000):
        done = False
        m = int(i ** (1/2))
        for k in primes:
            if k > m:break
            if i % k == 0:
                done = True
                break
        if not done:
            primes.append(i)
            p[i] = 1


    count = 0

    for i in primes:
        if p[2]:
            s = i
            while True:
                if not N % s:

                    N = N // s
                    count += 1
                    s *= i

                else:break
            s = s // i
            while s > 1:
                if not N % s:
                    N = N // s
                else:
                    s = s // i


    if count == 0 and N != 1:
        print(1)
    elif N != 1:
        print(count + 1)
    else:
        print(count)



if __name__ == "__main__":
    run()
Buggy code:
n=int(input())
if n==1:
    print(0)
def sosuu(n):
    if n == 1:
        return False
    for i in range(2,int(n**0.5)+1):
        if n % i == 0:
            return False
    return True
if sosuu(n):
    print(1)
    exit()
def factorization(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

 


ff=factorization(n) 
d=[]
ans=0
for i,j in ff:
    tmp=0
    while j>0:
        tmp+=1
        j-=tmp

        if j<0:
            break
        ans+=1
print(ans)


Fixed code:
n=int(input())
if n==1:
    print(0)
    exit()
def sosuu(n):
    if n == 1:
        return False
    for i in range(2,int(n**0.5)+1):
        if n % i == 0:
            return False
    return True
if sosuu(n):
    print(1)
    exit()
def factorization(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

 


ff=factorization(n) 
d=[]
ans=0
for i,j in ff:
    tmp=0
    while j>0:
        tmp+=1
        j-=tmp

        if j<0:
            break
        ans+=1
print(ans)
Buggy code:
N = int(input())

def factorization(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

fact = factorization(N)
s = 0
for p, e in fact:
    s += int(pow(e * 2 + 0.25, 0.5) - 0.5)
print(s)

Fixed code:
N = int(input())

def factorization(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])

    return arr

fact = factorization(N)
s = 0
for p, e in fact:
    s += int(pow(e * 2 + 0.25, 0.5) - 0.5)
print(s)
Buggy code:
import sys
input = sys.stdin.readline
import numpy as np
from decimal import *

def factorization(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


n = int(input())
if n == 1:
    print(0)
else:
    arr = factorization(n)

    arr = np.array(arr)

    kazu = arr[:,1]
    sum = 0
    for i in range(1, 1000000):
        if len(kazu) ==0:
            break
        sum += len(kazu)
        kazu -= (i)
        tugi =[]
        for k in kazu:
            if k <= 0:
                sum -=1
                pass
            else:
                tugi.append(k)
        kazu = np.array(tugi)
    print(sum)


Fixed code:
import sys
input = sys.stdin.readline
import numpy as np
from decimal import *

def factorization(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


n = int(input())
if n == 1:
    print(0)
else:
    arr = factorization(n)

    arr = np.array(arr)

    kazu = arr[:,1]
    sum = 0
    for i in range(1, 1000000):
        if len(kazu) ==0:
            break
        sum += len(kazu)
        kazu -= (i)
        tugi =[]
        for k in kazu:
            if k < 0:
                sum -=1
                pass
            elif k == 0:
                pass
            else:
                tugi.append(k)
        kazu = np.array(tugi)
    print(sum)
Buggy code:

import math

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

def main():
    n = int(input())
    count = 0
    
    if n == 1:
        print(0)
        return
    
    factor_list = factorization(n)
    print(factor_list)
    if len(factor_list) == 0:
        print(1)
        return
    
    for factor in factor_list:
        exponent = 1
        n /= factor[0] ** exponent
        count += 1
        factor[1] -= exponent
        exponent += 1
        
        while factor[1] > 1:
            #print(factor_list)
            n /= factor[0] ** exponent
            count += 1
            factor[1] -= exponent
            exponent += 1
    
    print(count)
    return
    
if __name__ == '__main__':
    main()

Fixed code:

import math

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

def main():
    n = int(input())
    count = 0
    
    factor_list = factorization(n)
    
    for _, exponent in factor_list:
        #exponent = 1
        #n /= factor[0] ** exponent
        #count += 1
        #factor[1] -= exponent
        #exponent += 1
        #print(exponent)
        i = 1
        while exponent >= i:
            #print(factor_list)
            #n /= factor[0] ** exponent
            count += 1
            exponent = exponent - i
            i += 1
    
    print(count)
    return
    
if __name__ == '__main__':
    main()
Buggy code:
import math
n = int(input())
l = int(math.sqrt(n))
ans = 0
  
insu = []
sisu = []
i = 2
while i <= l:
  if n % i == 0:
    if i in insu:
      sisu[insu.index(i)] += 1
    else:
      insu.append(i)
      sisu.append(1)
    n //= i
  else:
    i += 1
if n != 1:
  insu.append(n)
  sisu.append(1)
  
if not insu:
  if n == 1:
    print(0)
  else:
    print(1)
  exit()

for s in sisu:
  cnt = 1
  while cnt * (cnt + 1) / 2 <= s:
    ans += 1
    cnt += 1

print(insu)
print(sisu)
print(ans)

Fixed code:
import math
n = int(input())
l = int(math.sqrt(n))
ans = 0
  
insu = []
sisu = []
i = 2
while i <= l:
  if n % i == 0:
    if i in insu:
      sisu[insu.index(i)] += 1
    else:
      insu.append(i)
      sisu.append(1)
    n //= i
  else:
    i += 1
if n != 1:
  insu.append(n)
  sisu.append(1)
  
if not insu:
  if n == 1:
    print(0)
  else:
    print(1)
  exit()

for s in sisu:
  cnt = 1
  while cnt * (cnt + 1) / 2 <= s:
    ans += 1
    cnt += 1
    
# print(insu)
# print(sisu)
print(ans)