qyliang/CodeNanoFix huggingface dataset:
Buggy code:
n = int(input())


def solve(n):
    res = 0
    for d in range(2, n):
        if d * d > n:
            break

        degree = 0
        while n % d == 0:
            n /= d
            degree += 1

        i = 1
        while degree >= i:
            degree -= i
            i += 1
            res += 1

    return res if n == 1 else 1


print(solve(n))


Fixed code:
n = int(input())


def solve(n):
    res = 0
    for d in range(2, n):
        if d * d > n:
            break

        degree = 0
        while n % d == 0:
            n /= d
            degree += 1

        i = 1
        while degree >= i:
            degree -= i
            i += 1
            res += 1

    if n > 1:
        res += 1
    return res


print(solve(n))
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
dum = prime_factorize(int(input()))
print(dum)
print(len(dum))
dum1 = 0
ans = 0
for i in range(len(dum)):
    if dum[i] == dum[i+1]:
        cnt += 1
    else:
        dum1 = 0
        cnt = 0
    if cnt > dum1:
        ans += 1
        cnt = 0
        dum1 += 1
print(ans)

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
dum = prime_factorize(int(input()))
dum_len = len(dum)

num = 0
ans = 0
cnt = 0
check = 0
for i in range(dum_len):
    if num == dum[i]:
        cnt += 1
        if cnt >= check:
            check += 1
            ans += 1
            cnt = 0
    else:
        num = dum[i]
        ans += 1
        cnt = 0
        check = 2
print(ans)
Buggy code:
def factorization(n):
    arr = []
    temp = n
    cand = [2]+list(range(3, int(-(-n**0.5//1))+1, 2))
    for i in cand:
        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

max_N=1000
s = [i for i in range(1, max_N)]
sums = [sum(s[:i]) for i in range(1,max_N)]
def comb(a):
    for i in range(max_N):
        if a<sums[i]:
            return i

N = int(input())
fac = factorization(N) 
res = 0
for a in [el[1] for el in fac]:
    res += comb(a)
print(res)

Fixed code:
def factorization(n):
    if n==1:
        return []
    arr = []
    temp = n
    cand = [2]+list(range(3, int(-(-n**0.5//1))+1, 2))
    for i in cand:
        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

max_N=1000
s = [i for i in range(1, max_N)]
sums = [sum(s[:i]) for i in range(1,max_N)]
def comb(a):
    for i in range(max_N):
        if a<sums[i]:
            return i

N = int(input())
fac = factorization(N) 
res = 0
for a in [el[1] for el in fac]:
    res += comb(a)
print(res)
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

f = factorization(N)
total = 0
for c in f:
    target = c[1]
    cnt = 0
    for i in range(1, c[1] + 1):
        target -= i
        if target < 0:
            break
        cnt += 1
    total += cnt

print(total)

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])

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

    return arr


f = factorization(N)
total = 0
for c in f:
    if c[0] == 1:
        continue
    target = c[1]
    cnt = 0
    for i in range(1, c[1] + 1):
        target -= i
        if target < 0:
            break
        cnt += 1
    total += cnt

print(total)
Buggy code:
import math
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())
a = factorization(n)
cnt = 0
for i in a:
    #print(i,math.floor((math.sqrt(1+8*i[1])-1)/2))
    cnt += math.floor((math.sqrt(1+8*i[1])-1)/2)
print(cnt)

Fixed code:
import math
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:
    a = factorization(n)
    cnt = 0
    for i in a:
        #print(i,math.floor((math.sqrt(1+8*i[1])-1)/2))
        cnt += math.floor((math.sqrt(1+8*i[1])-1)/2)
    print(cnt)
Buggy code:
n=int(input())
def prime(n):
  dic={}
  f=2
  if n==1:
    return dic
  m=n
  while f*f<=m:
    r=0
    while n%f==0:
      n//=f
      r+=1
    if r>0:
      dic[f]=r
    f+=1
  if dic=={}:
    dic[n]=1
  return dic

def counter(dic):
  ans=0
  for val in dic.values():
    i=1
    while i*(i+3)/2<=val:
      i+=1
    ans+=i
  return ans

print(counter(prime(n)))

Fixed code:
n=int(input())
def prime(n):
  dic={}
  f=2
  m=n
  while f*f<=m:
    r=0
    while n%f==0:
      n//=f
      r+=1
    if r>0:
      dic[f]=r
    f+=1
  if n!=1:
    dic[n]=1
  return dic

def counter(dic):
  ans=0
  for val in dic.values():
    i=1
    while i*(i+3)/2<val:
      i+=1
    ans+=i
  return ans

print(counter(prime(n)))
Buggy code:
def doit(n):
	c = 0
	temp = n
	for p in range(2, int(n ** 0.5) + 1):
		if temp % p == 0:
			e = 0
			while temp % p == 0:
				e += 1
				temp //= p
			c += int(0.5 * (-1 + (1 + 8 * e) ** 0.5))

	if temp == n:
		c += 1
	elif temp != 1:
		c += 1

	return c

print(doit(int(input())))

Fixed code:
def doit(n):
	if(n == 1):
		return 0
	c = 0
	temp = n
	for p in range(2, int(n ** 0.5) + 1):
		if temp % p == 0:
			e = 0
			while temp % p == 0:
				e += 1
				temp //= p
			c += int(0.5 * (-1 + (1 + 8 * e) ** 0.5))

	if temp == n:
		c += 1
	elif temp != 1:
		c += 1

	return c

print(doit(int(input())))
Buggy code:
N = int(input())

a = []
n = N
if n % 2 == 0:
    a.append(2)
    while n%2 == 0:
        n /= 2
        
f = 3
while f**2 <= N:
    if n % f == 0:
        a.append(f)
        while n%f == 0:
            n /= f
    f += 2

answer = 0

for i in a:
    c = 1
    while N % i**c == 0:
        answer += 1
        N /=  i**c
        c += 1
print(answer)

Fixed code:
N = int(input())

a = []
n = N
if n % 2 == 0:
    a.append(2)
    while n%2 == 0:
        n /= 2
        
f = 3
while f**2 <= n:
    if n % f == 0:
        a.append(f)
        while n%f == 0:
            n //= f
    f += 2
if n != 1 and n not in a:
    a.append(n)

answer = 0

for i in a:
    c = 1
    while N % i**c == 0:
        answer += 1
        N /=  i**c
        c += 1
print(answer)
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

a=factorization(n)

l=len(a)
ans=l
c=1
for i in range(l):
    a[i][1]-=1

while(c<100):
    c+=1
    for i in range(l):
        if a[i][1]>=c:
            a[i][1]-=c
            ans+=1
print(ans)

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])

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

    return arr

a=factorization(n)

l=len(a)
ans=l
c=1
for i in range(l):
    a[i][1]-=1

while(c<100):
    c+=1
    for i in range(l):
        if a[i][1]>=c:
            a[i][1]-=c
            ans+=1
if n!=1 and n!=0:
    print(ans)
else:
    print(0)
Buggy code:
n = int(input())
i = 2
ans = 0
while True:
  if i * i > n:
    break
  if n % i == 0:
    cnt = 0
    while n % i == 0:
      n /= i
      cnt += 1
    k = 1
    while cnt >= k:
      cnt -= k
      k += 1
    ans += k - 1
  i += 1
print(ans)

Fixed code:
n = int(input())
i = 2
ans = 0
while True:
  if i * i > n:
    break
  if n % i == 0:
    cnt = 0
    while n % i == 0:
      n /= i
      cnt += 1
    k = 1
    while cnt >= k:
      cnt -= k
      k += 1
    ans += k - 1
  i += 1
if n > 1:
  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
ans = factorization(N)
index = [ans[i][1] for i in range(len(ans))]
k = 0
for i in range(len(ans)):
  a = index[i]
  j = 1
  while a - j >=0:
    k += 1
    a -= j
    j += 1
print(k)    


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])

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

    return arr
ans = factorization(N)
index = [ans[i][1] for i in range(len(ans))]
k = 0
if N == 1:
  print('0')
else:
  
  for i in range(len(ans)):
    a = index[i]
    j = 1
    while a - j >=0:
      k += 1
      a -= j
      j += 1
  print(k)
Buggy code:
import math
N = int(input())
p = N
t = 0
for num in range(2,int(math.sqrt(N))+1):
    d = 1
    while N % num**d ==0:
        N //= num**d
        t += 1
        d += 1
if(t==0 and P != 1):
    t = 1
print(t)


Fixed code:
import math
N = int(input())
t = 0
p = N
tmp = int(math.sqrt(N)) + 1
for num in range(2,tmp):
    d = 1
    while N % num**d ==0:
        N //= num**d
        t += 1
        d += 1
    if(N % num == 0):
        while N % num == 0:
            N //= num
if (N != 1):
    t+=1
if(t==0 and p != 1):
    t = 1
print(t)
Buggy code:
n=int(input())
count=0

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

l=factorization(n) 
print(l)

for i in range(len(l)):
    m=l[i]
    m2=m[1]
    a=1
    while m2>=a:
        count+=1
        m2-=a
        a+=1

print(count)


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

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

l=factorization(n) 

for i in range(len(l)):
    m=l[i]
    m2=m[1]
    a=1
    while m2>=a:
        count+=1
        m2-=a
        a+=1
if n==1:
    print(0)
else:
    print(count)
Buggy code:
import sys
import numpy as np

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

N = int(read())

U = 10**6
is_prime = np.zeros(U, np.bool_)
is_prime[2] = 1
is_prime[3::2] = 1
for p in range(3, U, 2):
    if p * p >= U:
        break
    if is_prime[p]:
        is_prime[p::p] = 0

primes = is_prime.nonzero()[0]


def factor(N):
    div = primes[N % primes == 0]
    for p in div:
        e = 0
        while N % p == 0:
            e += 1
            N //= p
        yield (p, e)
    if N != 1:
        yield (N, 1)


A = np.zeros(100, np.int32)
for i in range(14):
    k = i * (i + 1) // 2
    A[k] = i
np.maximum.accumulate(A, out=A)

x = 0
for p, e in factor(N):
    x += A[e]
print(x)


Fixed code:
import sys
import numpy as np

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

N = int(read())

U = 10**6
is_prime = np.zeros(U, np.bool_)
is_prime[2] = 1
is_prime[3::2] = 1
for p in range(3, U, 2):
    if p * p >= U:
        break
    if is_prime[p]:
        is_prime[p * p::p + p] = 0

primes = is_prime.nonzero()[0]


def factor(N):
    div = primes[N % primes == 0]
    for p in div:
        e = 0
        while N % p == 0:
            e += 1
            N //= p
        yield (p, e)
    if N != 1:
        yield (N, 1)


A = np.zeros(100, np.int32)
for i in range(14):
    k = i * (i + 1) // 2
    A[k] = i
np.maximum.accumulate(A, out=A)

x = 0
for p, e in factor(N):
    x += A[e]
print(x)
Buggy code:
n = int(input())

def factorize(n):
    fct = []  
    b, e = 2, 0  
    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

aoinsu = factorize(n)

kaijo = [1]
b = 1
for i in range(1,10):
    b = b+i
    kaijo.append(b)

#print(kaijo)    

#print(aoinsu)

ans = 0
for i in range(len(aoinsu)):
    a = aoinsu[i][1]
    for j in range(10):
        if a <= kaijo[j]:
            ans += j
            break


print(ans)

Fixed code:
n = int(input())

def factorize(n):
    fct = []  
    b, e = 2, 0  
    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

aoinsu = factorize(n)

kaijo = [1]
b = 1
for i in range(2,10):
    b = b+i
    kaijo.append(b)

#print(kaijo)    

#print(aoinsu)

ans = 0
for i in range(len(aoinsu)):
    a = aoinsu[i][1]
    for j in range(10):
        if a < kaijo[j]:
            ans += j
            break


print(ans)
Buggy code:
import sys
#import time
import copy
#from collections import deque, Counter, defaultdict
#from fractions import gcd
import bisect
input = sys.stdin.readline
sys.setrecursionlimit(10**8)
inf = 10**20
ri = lambda : int(input())
rs = lambda : input().strip()
rl = lambda : list(map(int, input().split()))
n = ri()
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
acu=[0]*101
acu[0]=0
for i in range(100):
    acu[i+1]=acu[i]+(i+1)

li=factorization(n)
ans=0
for i in li:
    ans+=bisect.bisect_right(acu,i[1])-1
print(ans)


Fixed code:
import sys
#import time
import copy
#from collections import deque, Counter, defaultdict
#from fractions import gcd
import bisect
input = sys.stdin.readline
sys.setrecursionlimit(10**8)
inf = 10**20
ri = lambda : int(input())
rs = lambda : input().strip()
rl = lambda : list(map(int, input().split()))
n = ri()
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
acu=[0]*101
acu[0]=0
for i in range(100):
    acu[i+1]=acu[i]+(i+1)

li=factorization(n)
ans=0
for i in li:
    ans+=bisect.bisect_right(acu,i[1])-1
if n==1:
    print(0)
else:
    print(ans)
Buggy code:
def solve(n):
    for i in range(n+1):
        if (i+1)*i//2 > n:
            return i-1

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())
li = factorization(N)
ans = 0
for [a,b] in li:
    ans += solve(b)
print(ans)

Fixed code:
def solve(n):
    for i in range(n+2):
        if (i+1)*i//2 > n:
            return i-1

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



N = int(input())
li = factorization(N)
ans = 0
for [a,b] in li:
    ans += solve(b)
    
if ans == 0:
    if N != 1:
        ans += 1
print(ans)
Buggy code:
N = int(input())

ans = 0
temp = N
fact = []

if N == 1:
    print(0)
    exit()
for i in range(2, int(N ** 0.5 + 2)):
    if temp % i == 0:
        n = 0
        while temp % i == 0:
            temp //= i
            n += 1
        fact.append(n)
if temp != 1:
    fact.append(1)
print(fact)

ans = 0
for f in fact:
    n = f
    i = 1
    while True:
        n -= i
        i += 1
        if n < 0:
            break
        ans += 1

print(max(ans, 1))

Fixed code:
N = int(input())

ans = 0
temp = N
fact = []

if N == 1:
    print(0)
    exit()
for i in range(2, int(N ** 0.5 + 2)):
    if temp % i == 0:
        n = 0
        while temp % i == 0:
            temp //= i
            n += 1
        fact.append(n)
if temp != 1:
    fact.append(1)

ans = 0
for f in fact:
    n = f
    i = 1
    while True:
        n -= i
        i += 1
        if n < 0:
            break
        ans += 1

print(max(ans, 1))
Buggy code:
#import math
 
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())

c=0
p=factorization(N)
#print(p)
for i in range(len(p)):
    r=1
    s=0
    while 1:
        s+=r
        if p[i][1]>=s:
            N=N//pow(p[i][0],r)
            #print(N)
            c+=1
            r+=1
        else:
            break
            
print(c)

Fixed code:
#import math
 
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)
  exit(0)
c=0
p=factorization(N)
#print(p)
for i in range(len(p)):
    r=1
    s=0
    while 1:
        s+=r
        if p[i][1]>=s:
            N/=pow(p[i][0],r)
            #print(N)
            c+=1
            r+=1
        else:
            break
            
print(c)
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

A = factorization(N)

def func(x):
    import math
    return int((-1+math.sqrt(1+8*x))/2)

ans = 0
for i in range (len(A)):
    ans = ans + func(A[i][1])
    
print(ans)



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])
 
    if arr==[]:
        arr.append([n, 1])
 
    return arr
 
A = factorization(N)
 
def func(x):
    import math
    return int((-1+math.sqrt(1+8*x))/2)
 
ans = 0
for i in range (len(A)):
    ans = ans + func(A[i][1])
    
if N != 1:
  print(ans)
else:
  print(0)
Buggy code:
def make_divisors(n):
    lower_divisors , upper_divisors = [], []
    i = 1
    while i*i <= n:
        if n % i == 0:
            lower_divisors.append(i)
            if i != n // i:
                upper_divisors.append(n//i)
        i += 1
    return lower_divisors + upper_divisors[::-1]

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

factorization(24) 

import sys
N=int(input())
if(N==1):
  print(0)
  sys.exit()
div = make_divisors(N)
div.remove(1)
new_div=[]
for k in div:
  jud=factorization(k) 
  if(len(jud)==1):
    new_div.append(k)
ans=0
print(new_div)
for i in new_div:
  if(N%i==0):
    N=N/i
    ans+=1
  if(N==1):
    print(ans)
    sys.exit()
print(ans)

Fixed code:
def make_divisors(n):
    lower_divisors , upper_divisors = [], []
    i = 1
    while i*i <= n:
        if n % i == 0:
            lower_divisors.append(i)
            if i != n // i:
                upper_divisors.append(n//i)
        i += 1
    return lower_divisors + upper_divisors[::-1]

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

factorization(24) 

import sys
N=int(input())
if(N==1):
  print(0)
  sys.exit()
div = make_divisors(N)
div.remove(1)
new_div=[]
for k in div:
  jud=factorization(k) 
  if(len(jud)==1):
    new_div.append(k)
ans=0

for i in new_div:
  if(N%i==0):
    N=N/i
    ans+=1
  if(N==1):
    print(ans)
    sys.exit()
print(ans)
Buggy code:
a,n=0,int(input())
for i in range(2,10**6):
  x=j=0
  while n%i<1:n/=i;x+=1
  while x>=j:a+=1;j+=1;x-=j
print(a+(n>1))

Fixed code:
a,n=0,int(input())
for i in range(2,10**6):
  x=j=0
  while n%i<1:n//=i;x+=1
  while x>j:a+=1;j+=1;x-=j
print(a+(n>1))
Buggy code:
a,n=0,int(input())
for i in range(2,int(n**0.5+1)):x=0
  while(n%i==0):n//=i;x+=1
  j=1
  while(x>=j):a+=1;x-=j;j+=1
print(1 if n-1 else a)

Fixed code:
a,n=0,int(input())
for i in range(2,int(n**0.5+1)):
  x=0
  while(n%i==0):n//=i;x+=1
  j=1
  while(x>=j):a+=1;x-=j;j+=1
print(a+(n>1))