Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
N=int(input())
v=sorted(map(int,input().split()))
value=v[0]
for i in range(len(N)-1):
    value=(value+v[i])/2
print(value)

Fixed submission:
N=int(input())
v=sorted(map(int,input().split()))
value=v[0]
for i in range(N):
    value=(value+v[i])/2
print(value)

Buggy python submission (verdict: Runtime Error):
N=int(input())
v=sorted(map(int,input().split()))
value=v[0]
for i in range(len(N)):
    value=(value+v[i])/2
print(value)

Fixed submission:
N=int(input())
v=sorted(map(int,input().split()))
value=v[0]
for i in range(N):
    value=(value+v[i])/2
print(value)
Buggy python submission (verdict: Runtime Error):
A,B=map(int,input().split)
x=[A+B,A-B,A*B]
print(max(x))

Fixed submission:
A,B=map(int,input().split())
x=[A+B,A-B,A*B]
print(max(x))

Buggy python submission (verdict: Runtime Error):
A,B=map(int,input().split)
print(max([A+B,A-B,A*B]))

Fixed submission:
A,B=map(int,input().split())
x=[A+B,A-B,A*B]
print(max(x))
Buggy python submission (verdict: Runtime Error):
S=list(int(input()))
if S[0]==S[1] or S[1]==S[2] or S[2]==S[3] or S[3]==S[4]:
  print("Bad")
else:
  print("Good")

Fixed submission:
S=list(input())
if S[0]==S[1] or S[1]==S[2] or S[2]==S[3] :
  print("Bad")
else:
  print("Good")
Buggy python submission (verdict: Runtime Error):
S=input()
if S="A":
  print("T")
elif S="T":
  print("A")
elif S="G":
  print("C")
else:
  print("G")

Fixed submission:
S=input()
if S=="A":
  print("T")
elif S=="T":
  print("A")
elif S=="G":
  print("C")
else:
  print("G")
Buggy python submission (verdict: Runtime Error):
N,K=map(int,input().split())
h=[int(input()) for i in range(N)]
h.sort()
a=1000
for i in range(N-K+1):
  a=min(a,h[k+i-1]-h[i])
print(a)


Fixed submission:
N,K=map(int,input().split())
h=[int(input()) for i in range(N)]
h.sort()
a=10**9
for i in range(N-K+1):
  a=min(a,h[K+i-1]-h[i])
print(a)

Buggy python submission (verdict: Runtime Error):
N,K=map(int,input().split())
h=[int(input()) for i in range(N)]
h.sort()
a=1000
for i in range(N-K):
  if h[i+K]-h[i]<a:
    a=h[i+k]-h[i]
print(a)


Fixed submission:
N,K=map(int,input().split())
h=[int(input()) for i in range(N)]
h.sort()
a=10**9
for i in range(N-K+1):
  a=min(a,h[K+i-1]-h[i])
print(a)

Buggy python submission (verdict: Runtime Error):
N,K=map(int,input().split())
h=[int(input()) for i in range(N)]
h.sort()
a=1000
for i in range(N-K):
  if h[i+K]-h[i]<a:
    a=h[i+k]-h[i]
ptint(a)

Fixed submission:
N,K=map(int,input().split())
h=[int(input()) for i in range(N)]
h.sort()
a=10**9
for i in range(N-K+1):
  a=min(a,h[K+i-1]-h[i])
print(a)
Buggy python submission (verdict: Runtime Error):
print(int(input())-N)


Fixed submission:
N=int(input())
print(1110-N)
Buggy python submission (verdict: Runtime Error):
N=int(input())
X=set(str(N))
Y=len(X)
if Y==1
  print(N)
if Y!=1:
  Z=0
  for i in range(111,1000,111):
    if N-i<0:
      Z+=i
      break
  print(Z)

Fixed submission:
N=int(input())
X=set(str(N))
Y=len(X)
if Y==1:
  print(N)
if Y!=1:
  Z=0
  for i in range(111,1000,111):
    if N-i<0:
      Z+=i
      break
  print(Z)
Buggy python submission (verdict: Runtime Error):
ns=list(map(int,input().split())
ns.sort()
print(ns[2]*10+ns[1]+ns[0])

Fixed submission:
ns=list(map(int,input().split()))
ns.sort()
print(ns[2]*10+ns[1]+ns[0])
Buggy python submission (verdict: Runtime Error):
A,B=map(int,input().split())
if A % 2 == 1 and B % 2 ==1:
  print("Yes")
eise:
  print("No")

Fixed submission:
A,B=map(int,input().split())
if A % 2 != 0 and B % 2 !=0 :
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
K=input()
if K % 2 ==0:
  print(int(K*K/2/2))
else:
  print(int((K+1)*(K-1)/2/2))

Fixed submission:
K=int(input())
if K % 2 ==0:
  print(int(K*K/4))
else:
  print(int((K+1)*(K-1)/4))
Buggy python submission (verdict: Runtime Error):
N=int(input())
A=list(map(int,input().split()))
count = 0
for i in range(N-1):
  if A[i]=A[i+1]:
    A[i+1]=0
    count +=1
print(count)

Fixed submission:
N=int(input())
A=list(map(int,input().split()))
count = 0
for i in range(N-1):
  if A[i]==A[i+1]:
    A[i+1]=0
    count +=1
print(count)
Buggy python submission (verdict: Runtime Error):
A,B=map(int,input().split())
B-A=N
X=N*(N+1)//2
print(X-B)

Fixed submission:
A,B=map(int,input().split())
N=B-A
X=N*(N+1)//2
print(X-B)
Buggy python submission (verdict: Runtime Error):
a = input()
if .join(sorted(a))=="abc":
  print("Yes")
else:
  print("No")

Fixed submission:
a = input()
if "".join(sorted(a))=="abc":
  print("Yes")
else:
  print("No")

Buggy python submission (verdict: Runtime Error):
a = input()
if join(sorted(a))=="abc":
  print("Yes")
else:
  print("No")

Fixed submission:
a = input()
if "".join(sorted(a))=="abc":
  print("Yes")
else:
  print("No")

Buggy python submission (verdict: Runtime Error):
n=input()
if a in n and b in n and c in n:
  print("Yes")
else:
  print("No")

Fixed submission:
a = input()
if "".join(sorted(a))=="abc":
  print("Yes")
else:
  print("No")

Buggy python submission (verdict: Runtime Error):
n=list(input())
if a in n and b in n and c in n:
  print("Yes")
else:
  print("No")

Fixed submission:
a = input()
if "".join(sorted(a))=="abc":
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
input()
A=map(str,input().split())
if P in A and W in A and Y in A and G in A:
  print("Four")
else:
  print("Three")

Fixed submission:
input()
A=map(str,input().split())
if len(set(A))==4:
  print("Four")
else:
  print("Three")

Buggy python submission (verdict: Runtime Error):
N=int(input())
A=list(map(str,input().split()))
if P in A and W in A and Y in A and G in A:
  print("Four")
else:
  print("Three")

Fixed submission:
input()
A=map(str,input().split())
if len(set(A))==4:
  print("Four")
else:
  print("Three")

Buggy python submission (verdict: Runtime Error):
N=int(input())
A=map(str,input().split())
if P in A and W in A and Y in A and G in A:
  print("Four")
else:
  print("Three")

Fixed submission:
input()
A=map(str,input().split())
if len(set(A))==4:
  print("Four")
else:
  print("Three")

Buggy python submission (verdict: Runtime Error):
N=int(input())
A=map(str,input().split())
if P in N and W in N and Y in N and G in N:
  print("Four")
else:
  print("Three")

Fixed submission:
input()
A=map(str,input().split())
if len(set(A))==4:
  print("Four")
else:
  print("Three")

Buggy python submission (verdict: Runtime Error):
N=int(input())
A=list(map(str,input().split()))
if P in N and W in N and Y in N and G in N:
  print("Four")
else:
  print("Three")

Fixed submission:
input()
A=map(str,input().split())
if len(set(A))==4:
  print("Four")
else:
  print("Three")
Buggy python submission (verdict: Runtime Error):
N=int(input())
a=list(map(int,input().split()))
a.sort(reverse=True)
x,y=0.0
for i in range(N):
  if i%2==0:
    x+=i
  else:
    y+=i
print(x-y)

Fixed submission:
N=int(input())
a=list(map(int,input().split()))
a.sort(reverse=True)
x=0
y=0
for i in range(N):
  if i%2==0:
    x+=a[i]
  else:
    y+=a[i]
print(abs(x-y))
Buggy python submission (verdict: Runtime Error):
c=int(input.replace(" ",""))
if c**0.5 % 1 !=0:
  print("No")
else:
  print("Yes")

Fixed submission:
c=int(input().replace(" ",""))
if c**0.5 % 1 !=0:
  print("No")
else:
  print("Yes")

Buggy python submission (verdict: Runtime Error):
a,b=input().split()
c=int("a"+"b")
if c**0.5 % 1 !=0:
  print("No")
else:
  print("Yes")

Fixed submission:
c=int(input().replace(" ",""))
if c**0.5 % 1 !=0:
  print("No")
else:
  print("Yes")

Buggy python submission (verdict: Runtime Error):
a,b=map(int,input().split())
c=int("a"+"b")
if c**.5 % 1 !=0:
  print("No")
else:
  print("Yes")

Fixed submission:
c=int(input().replace(" ",""))
if c**0.5 % 1 !=0:
  print("No")
else:
  print("Yes")
Buggy python submission (verdict: Runtime Error):
N=str(input())
A=sum(list(map(int, list(N))))
if N % A ==0:
  print("Yes")
else:
  print("No")

Fixed submission:
N=int(input())
X=sum(list(map(int,str(N))))
if N % X ==0:
  print("Yes")
else:
  print("No")

Buggy python submission (verdict: Runtime Error):
N=int(input())
A=sum(list(map(int, list(N))))
if N % A ==0:
  print("Yes")
else:
  print("No")

Fixed submission:
N=int(input())
X=sum(list(map(int,str(N))))
if N % X ==0:
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
N=list(int(input()))
if N[0]==N[2]:
  print("Yes")
else:
  print("No")

Fixed submission:
N=list(input())
if N[0]==N[2]:
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
a,b,c=map(int,input().split())
if a+b<=a+c:
  print(min(a+b,b+c))
else:
  print(min((a+c,b+c))

Fixed submission:
a,b,c=map(int,input().split())
if a+b<=a+c:
  print(min(a+b,b+c))
else:
  print(min(a+c,b+c))
Buggy python submission (verdict: Runtime Error):
N=int(input())
a=[int(input()) for i in range(N)]
X=1
i=1
while a[i-1]!=2 and X<=n:
    X+=1
    i=a[i-1]
if X>N:
  print(-1)
else:
  print(X)

Fixed submission:
N=int(input())
a=[int(input()) for _ in range(N)]
X=1
i=1
while a[i-1]!=2 and X<=N:
    X+=1
    i=a[i-1]
if X>N:
  print(-1)
else:
  print(X)
Buggy python submission (verdict: Runtime Error):
a,b,c=input().split
x=a[0]+b[0]+c[0]
print(x.upper())

Fixed submission:
a,b,c=input().split()
x=a[0]+b[0]+c[0]
print(x.upper())
Buggy python submission (verdict: Runtime Error):
r,g=map(int,input().split())
X=0
for i in range(g+1):
  for j in range(g+1):
    k=g-i-j
    if k>=0 and k<=n:
      X+=1
print(X)

Fixed submission:
r,g=map(int,input().split())
X=0
for i in range(r+1):
  for j in range(r+1):
    k=g-i-j
    if k>=0 and k<=r:
      X+=1
print(X)

Buggy python submission (verdict: Time Limit Exceeded):
K,S=map(int,input().split())
ans=0
for x in range(K+1):
  for y in range(K+1):
    for z in range(K+1):
      if x+y+z==S:
        ans+=1
print(ans)


Fixed submission:
r,g=map(int,input().split())
X=0
for i in range(r+1):
  for j in range(r+1):
    k=g-i-j
    if k>=0 and k<=r:
      X+=1
print(X)

Buggy python submission (verdict: Runtime Error):
K,S=map(int,input().split())
ans=0
for x in range(K+1):
  for y in range(K+1):
    for z in range(K+1):
      if x+y+z=S:
        ans+=1
print(ans)

Fixed submission:
r,g=map(int,input().split())
X=0
for i in range(r+1):
  for j in range(r+1):
    k=g-i-j
    if k>=0 and k<=r:
      X+=1
print(X)
Buggy python submission (verdict: Runtime Error):
A=input()
X=[a,i,u,e,o]
if A in X:
  print("vowel")
else:
  print("consonant")

Fixed submission:
A=input()
X=["a","i","u","e","o"]
if A in X:
  print("vowel")
else:
  print("consonant")
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))

k = 0
for i in range(N):
  if A[i] == 0:
    k = 1
  elif A[i] != 0 and A[i] > 10**18:
    k = 2
  else:
    k = 3

if k == 1:
  print(0)
elif k == 2:
  print(-1)
else:
  ans = 1
  for i in range(N):
    ans = ans*A[i]
  if ans > 10**18:
    print(-1)
  else:
    print(ans)

Fixed submission:
N = int(input())
A = list(map(int,input().split()))
a = 0
for i in range(N):
  if A[i] == 0:
    a = 1
    break
  elif A[i] > 10**18:
    a = 2
    break

if a == 1:
  print(0)
elif a == 2:
  print(-1)
else:
  b = 0
  ans = 1
  for i in range(N):
    ans = ans*A[i]
    if ans > 10**18:
      b = 1
      break

  if b == 0:
    print(ans)
  else:
    print(-1)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))

ans = 1
for i in range(N):
  ans = ans*A[i]

if ans > 10**18:
  print(-1)
else:
  print(ans)

Fixed submission:
N = int(input())
A = list(map(int,input().split()))
a = 0
for i in range(N):
  if A[i] == 0:
    a = 1
    break
  elif A[i] > 10**18:
    a = 2
    break

if a == 1:
  print(0)
elif a == 2:
  print(-1)
else:
  b = 0
  ans = 1
  for i in range(N):
    ans = ans*A[i]
    if ans > 10**18:
      b = 1
      break

  if b == 0:
    print(ans)
  else:
    print(-1)
Buggy python submission (verdict: Runtime Error):
A, B, C, D = map(int, input().split())
if (C//B) < (A//D):
  print("No")
elif (C//B) = (A//D) and A%D = 0:
  print("No")
else:
  print("Yes")

Fixed submission:
A, B, C, D = map(int, input().split())
if ((C+B-1)//B) > ((A+D-1)//D):
  print("No")
else:
  print("Yes")
Buggy python submission (verdict: Runtime Error):
print(int(iinput())*3.1415)

Fixed submission:
R = int(input())
py = 3.1415

print(2*R*py)
Buggy python submission (verdict: Runtime Error):
S = input()
if S[3] == S[4] and S[5] == S[6]:
  print("Yes")
else:
  print("No")

Fixed submission:
S = input()
if S[2] == S[3] and S[4] == S[5]:
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
N = int(input())
X = list(map(int, input().split()))
A = []
for x in range(min(X)+1,max(X)):
  S = 0
  for i in range(N):
    S = S + (X[i] - x)**2
  A.append(S)
print(min(A))

Fixed submission:
N = int(input())
X = list(map(int, input().split()))
A = []
for x in range(min(X),max(X)+1):
  S = 0
  for i in range(N):
    S = S + (X[i] - x)**2
  A.append(S)
print(min(A))
Buggy python submission (verdict: Time Limit Exceeded):
L, R = list(map(int, input().split()))
A = []
for j in range(L, R+1):
  for i in range(L, j):
    A.append((i*j) % 2019)
    
print(min(A))

Fixed submission:
L, R = list(map(int, input().split()))
A = []
if R-L >= 2019:
  print(0)

else:
  for j in range(L, R+1):
    for i in range(L, j):
      A.append((i*j) % 2019)
  print(min(A))
Buggy python submission (verdict: Runtime Error):
X,A = input(), input()
if X < A :
  print(0)
else:
  print(10)

Fixed submission:
X, A = map(int, input().split())
if X < A:
  print(0)
else:
  print(10)

Buggy python submission (verdict: Runtime Error):
X,A = map(int, input().split())
if X < A 
print(0)
else
print(10)

Fixed submission:
X, A = map(int, input().split())
if X < A:
  print(0)
else:
  print(10)

Buggy python submission (verdict: Runtime Error):
X,A = map(int,input(),split())
if X<A print(0)
else print(10)

Fixed submission:
X, A = map(int, input().split())
if X < A:
  print(0)
else:
  print(10)
Buggy python submission (verdict: Runtime Error):
b = input()
if b ='A':
  print('T')
elif b = 'T':
  print('A')
elif b = 'C':
  print('G')
else:
  print('C')

Fixed submission:
b = input()
if b =='A':
  print('T')
elif b == 'T':
  print('A')
elif b == 'C':
  print('G')
else:
  print('C')
Buggy python submission (verdict: Runtime Error):
N = input()
if N <= 999:
  pirnt("ABC")
else:
  print("ABD")

Fixed submission:
N = int(input())
if N <= 999:
  print("ABC")
else:
  print("ABD")
Buggy python submission (verdict: Runtime Error):
S = input()
if S[1] != S[2] and S[2] != S[3] and S[3] != S[1]:
  print("Yes")
else:
  print("No")

Fixed submission:
S = input()
if S[0] != S[1] and S[1] != S[2] and S[2] != S[0]:
      print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
N = input()
A = input()
if A >= N%500:
  print("Yes")
else:
  print("No")

Fixed submission:
N = int(input())
A = int(input())
if A >= (N % 500):
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
X = input()
A = input()
B = input()
Y = int((X - A)/B)
print(X - A - (B*Y))

Fixed submission:
X = int(input())
A = int(input())
B = int(input())
Y = int((X - A)/B)
print(X - A - (B*Y))
Buggy python submission (verdict: Runtime Error):
X, Y, Z = map(int, input().split())
print(X + Y + Z)

Fixed submission:
print(input().count("1"))
Buggy python submission (verdict: Runtime Error):
R = int(input())
G = int(input())
print(2G - R)

Fixed submission:
R = int(input())
G = int(input())
print(2*G - R)
Buggy python submission (verdict: Runtime Error):
c = input()
if c = "a" or "i" or "u" or "e" or "o":
  print("vowel")
else:
  print("consonant")

Fixed submission:
c = input()
lists = ["a","e", "i", "o", "u"]
if c in lists:
  print("vowel")
else:
  print("consonant")
Buggy python submission (verdict: Time Limit Exceeded):
# N, D = [int(i) for i in input().split()]
def pow_(x, n):
  if n == 0:
    return 1

  k = 1
  while n > 1:
    if n % 2 != 0:
      k *= x
    x *= x
    n //= 2

  return k * x

K = int(input())
count = 0
for i in range(1, 10**6):
  count += 1
  if (7 * (pow_(10, i) - 1) // 9) % K == 0:
    print(count)
    break
else:
  print(-1)



Fixed submission:
# N, D = [int(i) for i in input().split()]
K = int(input())
if K % 7 == 0:
  K = K // 7
K = 9 * K
remain = 1
for i in range(10**6):
  remain = (remain*10) % K
  if remain == 1:
    print(i+1)
    break
else:
  print(-1)
Buggy python submission (verdict: Runtime Error):
import bisect
import copy
N = int(input())
A = [int(i) for i in input().split()]
A.sort()
table = [True for i in range(N)]
cands = [i for i in range(N)]
k = 0
while k < len(cands):
    i = cands[k]
    new_cands = copy.deepcopy(cands)
    if i < N-1 and A[i] == A[i+1]:
        idx = bisect.bisect_left(new_cands, i)
        del new_cands[idx]
    for j in cands[k+1:]:
        if A[j] % A[i] == 0:
            idx = bisect.bisect_left(new_cands, j)
            del new_cands[idx]
    if len(new_cands) > 0 and new_cands[k] == cands[k]:
        k += 1
    cands = copy.deepcopy(new_cands)
print(len(cands))


Fixed submission:
N = int(input())
A = [int(i) for i in input().split()]
A.sort()
a_max = max(A)
table = [True for i in range(a_max+1)]
for a in A:
    i = 2
    k = a * 2
    while k <= a_max:
        table[k] = False
        k += a
count = 0
for i, a in enumerate(A):
    if i < N - 1 and A[i] == A[i+1]:
        table[a] = False
    if table[a]:
        count += 1
print(count)

Buggy python submission (verdict: Time Limit Exceeded):
import bisect
import copy
N = int(input())
A = [int(i) for i in input().split()]
A.sort()
table = [True for i in range(N)]
cands = [i for i in range(N)]
for i in range(N):
    if table[i]:
        idx = bisect.bisect_left(cands, i)
        del cands[idx]
        if i < N-1 and A[i] == A[i+1]:
            table[i] = False
        new_cands = copy.deepcopy(cands)
        for j in cands:
            if A[j] % A[i] == 0:
                table[j] = False
                idx = bisect.bisect_left(new_cands, j)
                del new_cands[idx]
        cands = copy.deepcopy(new_cands)
print(table.count(True))


Fixed submission:
N = int(input())
A = [int(i) for i in input().split()]
A.sort()
a_max = max(A)
table = [True for i in range(a_max+1)]
for a in A:
    i = 2
    k = a * 2
    while k <= a_max:
        table[k] = False
        k += a
count = 0
for i, a in enumerate(A):
    if i < N - 1 and A[i] == A[i+1]:
        table[a] = False
    if table[a]:
        count += 1
print(count)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = [int(i) for i in input().split()]
A.sort()
table = [True for i in range(N)]
for i in range(N):
    if table[i]:
        if i < N-1 and A[i] == A[i+1]:
            table[i] = False
        for j in range(i+1, N):
            if A[j] % A[i] == 0:
                table[j] = False
print(table.count(True))


Fixed submission:
N = int(input())
A = [int(i) for i in input().split()]
A.sort()
a_max = max(A)
table = [True for i in range(a_max+1)]
for a in A:
    i = 2
    k = a * 2
    while k <= a_max:
        table[k] = False
        k += a
count = 0
for i, a in enumerate(A):
    if i < N - 1 and A[i] == A[i+1]:
        table[a] = False
    if table[a]:
        count += 1
print(count)
Buggy python submission (verdict: Runtime Error):
import math
N = int(input())
# A, B = [i for i in input().split()]
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
cands = []
for i in range(2, int(math.sqrt(N))+1):
    if N % i == 0:
        cands.append(i)
        cands.append(N%i)

if is_prime(N):
    print(1)
else:
    count = 0
    n = N
    for c in cands:
        if c > n:
            break
        if n % c == 0:
            n //= c
            count += 1
    print(count)

Fixed submission:
import math
N = int(input())
# A, B = [i for i in input().split()]


def prime_factorization(n):
    # n = p1**e1 * p2**e2... pm**emのように素因数分解を行う。リストが空の場合は素数ということ
    fact_list = []
    for p in range(2, int(math.sqrt(n)) + 1):
        e = 0
        while n % p == 0:
            n //= p
            e += 1
        if e > 0:
            fact_list.append((p, e))
    if n != 1:
        fact_list.append((n, 1))
    return fact_list


prime_list = prime_factorization(N)
if len(prime_list) == 0:
    print(0)
else:
    count = 0
    for p, e in prime_list:
        a = 1
        sum_a = 0
        while True:
            sum_a += a
            if e < sum_a:
                break
            a += 1
        count += a - 1
    print(count)

Buggy python submission (verdict: Time Limit Exceeded):
import math
N = int(input())
# A, B = [i for i in input().split()]
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
n = N
count = 0
i = 1
while True:
    if n == 1 or i > n:
        break
    if n % i == 0:
        if i == 1:
            if is_prime(n):
                count += 1
                n //= n
        elif is_prime(i):
            x = i
            while True:
                if n % x != 0:
                    break
                if x > n:
                    break
                n //= x
                count += 1
                x *= i
    i += 1
print(count)



Fixed submission:
import math
N = int(input())
# A, B = [i for i in input().split()]


def prime_factorization(n):
    # n = p1**e1 * p2**e2... pm**emのように素因数分解を行う。リストが空の場合は素数ということ
    fact_list = []
    for p in range(2, int(math.sqrt(n)) + 1):
        e = 0
        while n % p == 0:
            n //= p
            e += 1
        if e > 0:
            fact_list.append((p, e))
    if n != 1:
        fact_list.append((n, 1))
    return fact_list


prime_list = prime_factorization(N)
if len(prime_list) == 0:
    print(0)
else:
    count = 0
    for p, e in prime_list:
        a = 1
        sum_a = 0
        while True:
            sum_a += a
            if e < sum_a:
                break
            a += 1
        count += a - 1
    print(count)
Buggy python submission (verdict: Time Limit Exceeded):
import itertools
X = int(input())

l = [i for i in range(-10000, 10000)]
c = itertools.permutations(l, 2)
for a, b in c:
    if a**5 - b**5 == X:
        print(a, b)
        break



Fixed submission:
import itertools
X = int(input())

l = [i for i in range(-1000, 1000)]
c = itertools.permutations(l, 2)
for a, b in c:
    if a**5 - b**5 == X:
        print(a, b)
        break
Buggy python submission (verdict: Time Limit Exceeded):
import fractions
K = int(input())
ans = 0


def gcd(a, b):
    if a > b:
        a, b = b, a
    if a == 0:
        return b
    else:
        return gcd(a, b % a)


for c in range(1, K+1):
    for b in range(1, K+1):
        for a in range(1, K+1):
            ans += fractions.gcd(fractions.gcd(a, b), c)
print(ans)


Fixed submission:
K = int(input())
ans = 0


def gcd(a, b):
    if a > b:
        a, b = b, a
    if a == 0:
        return b
    else:
        return gcd(a, b % a)


for c in range(1, K+1):
    for b in range(1, K+1):
        for a in range(1, K+1):
            ans += gcd(gcd(a, b), c)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
K = int(input())
ans = 0


def gcd(a, b):
    if a > b:
        a, b = b, a
    if a == 0:
        return b
    else:
        return gcd(a, b % a)


for c in range(1, K+1):
    for b in range(1, K+1):
        for a in range(1, K+1):
            ans += gcd(gcd(a, b), c)
print(ans)


Fixed submission:
K = int(input())
ans = 0


def gcd(a, b):
    if a > b:
        a, b = b, a
    if a == 0:
        return b
    else:
        return gcd(a, b % a)


for c in range(1, K+1):
    for b in range(1, K+1):
        for a in range(1, K+1):
            ans += gcd(gcd(a, b), c)
print(ans)