Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
n, m = map(int, input().split())
a = [input() for _ in range(n)]
b = [input() for _ in range(m)]
s = 0
cnt = 0

for i in range(n-m+1):
    for j in range(n-m+1):
        for x in range(m):
            for y in range(m):
                if a[i+x][j+y] == b[x][y]:
                    s += 1
            if s == m ** 2:
                cnt += 1
            else:
                s = 0
if c > 0:
    print('Yes')
else:
    print('No')

Fixed submission:
n, m = map(int, input().split())
a = [input() for _ in range(n)]
b = [input() for _ in range(m)]
s = 0
cnt = 0

for i in range(n-m+1):
    for j in range(n-m+1):
        for x in range(m):
            for y in range(m):
                if a[i+x][j+y] == b[x][y]:
                    s += 1
        if s == m ** 2:
            cnt += 1
        else:
            s = 0
if cnt > 0:
    print('Yes')
else:
    print('No')
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>1e+18:
     print(-1)
else:
    print(ans)

Fixed submission:
N=int(input())
A=list(map(int,input().split()))
ans=1
for i in range(N):
    if (A[i]==0):
        ans=0
if (ans!=0):
    for i in range(N):
        ans=ans*A[i]
        if ans>1e+18:
            ans=-1
            break
       
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
from math import factorial
N=int(input())
A=list(map(int,input().split(" ")))
count=Counter(A)
com={}
def combo(n):
    if n>=2:
        return factorial(n)//(factorial(n-2)*2)
    else:
        return 0

for k,v in count.items():
    com[k]=combo(v)
s=sum(com.values())
for i in range(N):
    su=s-combo(count[A[i]])+combo(count[A[i]]-1)
    print(su)

Fixed submission:
from collections import Counter
from operator import mul
from functools import reduce

def combo(n):
    if n<1:
        return 0
    r = min(n-2,2)
    if r == 0: return 1
    over = reduce(mul, range(n, n - 2, -1))
    under = reduce(mul, range(1,2 + 1))
    return over // under

N=int(input())
A=list(map(int,input().split(" ")))
count=Counter(A)
com={}

for k,v in count.items():
    com[k]=combo(v)
s=sum(com.values())
for i in range(N):
    su=s-combo(count[A[i]])+combo(count[A[i]]-1)
    print(su)
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
H,N=map(int,list(input().split(" ")))
magic=[]
power=[]
for i in range(N):
    A,B=map(int,list(input().split(" ")))
    magic+=[A]
    power+=[B]
dp=[[np.inf for i in range(H+1)] for j in range(N+1)]
for i in range(N+1):
    dp[i][0]=0
ma=[]
for j in range(1,H+1):
    for i in range(1,N+1):
        if j-magic[i-1]>=0:
            dp[i][j]=min(dp[i-1][j],dp[i][j-magic[i-1]]+power[i-1])
        else:
            dp[i][j]=min(dp[i-1][j],power[i-1])
print(dp[N][H])

Fixed submission:
import numpy as np
H,N=map(int,list(input().split(" ")))
a=np.empty(N,dtype=int)
b=np.empty(N,dtype=int)
for i in range(N):
    a[i],b[i]=map(int,list(input().split(" ")))
dp=np.empty(H+1,dtype=int)
dp[0]=0
for h in range(1,H+1):
    t=h-a
    t[t<0]=0
    dp[h]=np.min(dp[t]+b)
print(dp[H])

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
H,N=map(int,list(input().split(" ")))
magic=[]
power=[]
for i in range(N):
    A,B=map(int,list(input().split(" ")))
    magic+=[A]
    power+=[B]
dp=[[np.inf for i in range(2*H+1)] for j in range(N+1)]
for i in range(N+1):
    dp[i][0]=0
ma=[]
for j in range(1,2*H+1):
    for i in range(1,N+1):
        if j-magic[i-1]>=0:
            dp[i][j]=min(dp[i-1][j],dp[i][j-magic[i-1]]+power[i-1])
        else:
            dp[i][j]=min(dp[i-1][j],power[i-1])
print(dp[N][H])

Fixed submission:
import numpy as np
H,N=map(int,list(input().split(" ")))
a=np.empty(N,dtype=int)
b=np.empty(N,dtype=int)
for i in range(N):
    a[i],b[i]=map(int,list(input().split(" ")))
dp=np.empty(H+1,dtype=int)
dp[0]=0
for h in range(1,H+1):
    t=h-a
    t[t<0]=0
    dp[h]=np.min(dp[t]+b)
print(dp[H])
Buggy python submission (verdict: Runtime Error):
A=input();print(sum(i!=j for i,j in zip(A,A[::-1])//2)

Fixed submission:
A=input()
c=0
B=A[::-1]
for i in range(len(A)):
    if A[i]!=B[i]:
        c+=1
print(c//2)

Buggy python submission (verdict: Runtime Error):
A=input()
c=0
B=A[::-1]
for i in range(len(A)):
    if A[i]!=B[i]:
        cnt+=1
print(cnt//2)

Fixed submission:
A=input()
c=0
B=A[::-1]
for i in range(len(A)):
    if A[i]!=B[i]:
        c+=1
print(c//2)
Buggy python submission (verdict: Time Limit Exceeded):
A,B=list(map(int,input().split(" ")))
def prime(N):
    p=[]
    for i in range(1,N+1):
        p.append(i)
        for j in range(2,i):
            if i%j==0:
                p.remove(i)
                break
    return p
def gcd(m,n):
    for i in range(max(m,n),0,-1):
        if m%i==0 and n%i==0:
            return i
            break

M=gcd(A,B)
pri=prime(M)
num=0
for i in range(len(pri)):
    if M%pri[i]==0:
        num+=1
print(num)


Fixed submission:
A,B=list(map(int,input().split(" ")))
from collections import defaultdict
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

a=prime_factorize(A)
b=prime_factorize(B)
count1=defaultdict(lambda:0)
count2=defaultdict(lambda:0)
for i in range(len(a)):
    count1[a[i]]+=1
for i in range(len(b)):
    count2[b[i]]+=1

c=count1.keys()
d=count2.keys()
num=0
for i in c:
    if i in d:
        num+=1
print(num+1)
Buggy python submission (verdict: Runtime Error):
N=int(input())
x=[]
y=[]
h=[]
for i in range(N):
    x_n,y_n,h_n=map(int,input().split())
    if h_n >= 1:
        x.append(x_n)
        y.append(y_n)
        h.append(h_n)

def all_same(a):
    if all(a[i]==a[i+1] for i in range(0,len(a)-1)):
        return True
    else:
        return False

for C_x in range(101):
    for C_y in range(101):
        H=[]
        for i in range(len(x)):
            H.append(h[i]+abs(x[i]-C_x)+abs(y[i]-C_y))
        H.sort()
        if all_same(H):
            print(C_x,C_y,H[0])


Fixed submission:
N=int(input())
if N==1:
    print("Hello World")
if N==2:
    A=int(input())
    B=int(input())
    print(A+B)

Buggy python submission (verdict: Runtime Error):
N=int(input())
x=[]
y=[]
h=[]
for i in range(N):
    x_n,y_n,h_n=map(int,input().split())
    if h_n !=0:
        x.append(x_n)
        y.append(y_n)
        h.append(h_n)

def all_same(a):
    if all(a[i]==a[i+1] for i in range(0,len(a)-1)):
        return True
    else:
        return False

for C_x in range(101):
    for C_y in range(101):
        H=[]
        for i in range(len(x)):
            H.append(h[i]+abs(x[i]-C_x)+abs(y[i]-C_y))
        H.sort()
        H.remove(0)
        if all_same(H):
            print(C_x,C_y,H[0])


Fixed submission:
N=int(input())
if N==1:
    print("Hello World")
if N==2:
    A=int(input())
    B=int(input())
    print(A+B)

Buggy python submission (verdict: Runtime Error):
N=int(input())
x=[]
y=[]
h=[]
for i in range(N):
    x_n,y_n,h_n=map(int,input().split())
    x.append(x_n)
    y.append(y_n)
    h.append(h_n)
for C_x in range(101):
    for C_y in range(101):
        H=h[0]+abs(x[0]-C_x)+abs(y[0]-C_y)
        if all(H==h[i]+abs(x[i]-C_x)+abs(y[i]-C_y) for i in range(N)):
            print(C_x,C_y,H)


Fixed submission:
N=int(input())
if N==1:
    print("Hello World")
if N==2:
    A=int(input())
    B=int(input())
    print(A+B)

Buggy python submission (verdict: Runtime Error):
N=int(input())
x=[]
y=[]
h=[]
for i in range(N):
    x_n,y_n,h_n=map(int,input().split())
    x.append(x_n)
    y.append(y_n)
    h.append(h_n)
for C_x in range(101):
    for C_y in range(101):
        if all(h[i]+abs(x[i]-C_x)+abs(y[i]-C_y)==h[i+1]+abs(x[i+1]-C_x)+abs(y[i+1]-C_y) for i in range(N-1)):
            if h[1]+abs(x[1]-C_x)+abs(y[1]-C_y) >1 or h[1]+abs(x[1]-C_x)+abs(y[1]-C_y)==1:
                H=h[1]+abs(x[1]-C_x)+abs(y[1]-C_y)
                print(C_x,C_y,H)


Fixed submission:
N=int(input())
if N==1:
    print("Hello World")
if N==2:
    A=int(input())
    B=int(input())
    print(A+B)
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
from operator import mul
from functools import reduce

def cmb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

N,M=map(int,list(input().split(" ")))
mod=10**9+7
def factor(M):
    i=2
    lis=[]
    if M%i==0:
        k=1
        M//=2
        while M%2==0:
            k+=1
            M//=2
        lis.append([2,k])
    i+=1
    while M!=1:
        if M%i==0:
            k=1
            M//=i
            while M%i==0:
                k+=1
                M//=i
            lis.append([i,k])
        i+=2
    return lis

fac=np.array(factor(M))
ans=1
for i in range(len(fac)):
    ans*=cmb(N+fac[i][1]-1,N-1)
print(ans%mod)

Fixed submission:
import numpy as np
from operator import mul
from functools import reduce

def cmb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under

N,M=map(int,list(input().split(" ")))
mod=10**9+7
def factor(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

fac=np.array(factor(M))
ans=1
for i in range(len(fac)):
    ans*=cmb(N+fac[i][1]-1,N-1)
print(ans%mod)
Buggy python submission (verdict: Runtime Error):
import numpy as np
def lcd(a,b):
  return a*b//np.gcd(a,b)
N=int(input())
T=int(input())
for i in range(N-1):
  t=int(input())
  T=lcd(t,T)
print(T)


Fixed submission:
from fractions import gcd
def lcm(a,b):
    return a*b//gcd(a,b)
N=int(input())
T=int(input())
for i in range(N-1):
    t=int(input())
    T=lcm(t,T)
print(T)

Buggy python submission (verdict: Runtime Error):
from math import gcd
def lcm(a,b):
  return a*b//gcd(a,b)
N=int(input())
T=int(input())
for i in range(N-1):
  t=int(input())
  T=lcm(T,t)
print(T)
  

Fixed submission:
from fractions import gcd
def lcm(a,b):
    return a*b//gcd(a,b)
N=int(input())
T=int(input())
for i in range(N-1):
    t=int(input())
    T=lcm(t,T)
print(T)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict
N,T=list(map(int,input().split(" ")))
A=list(map(int,input().split(" ")))
m=0
for i in range(1,N):
    a=min(A[:i])
    b=max(A[i:])
    if b-a>m:
        m=b-a
        sub=defaultdict(lambda:0)
        sub[str([a,b])]
    elif b-a==m:
        sub[str([a,b])]
c=sub.keys()
print(len(c))

Fixed submission:
from collections import defaultdict
N,T=list(map(int,input().split(" ")))
A=list(map(int,input().split(" ")))
sub=defaultdict(lambda:0)
max1=A[0]
min1=A[0]
for i in range(N):
    if A[i]>=max1>=min1:
        max1=A[i]
        sub[max1-min1]+=1
    elif max1>=A[i]>=min1:
        max1=A[i]
        sub[max1-min1]+=1
    elif min1>=A[i]:
        min1=A[i]
        max1=A[i]
a=list(sub.keys())
b=max(a)
print(sub[b])
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
import copy
inp=[]
for i in range(N):
    inp.append(list(map(int,input().split(" "))))

def compare(A,B):
    if A[0]>=B[0] and A[1]>=B[1]:
        return A
    else:
        A0=copy.copy(A[0])
        A1=copy.copy(A[1])
        while A0<B[0] or A1<B[1]:
            A0+=A[0]
            A1+=A[1]
        return [A0,A1]
st=inp[0]
for i in range(1,N):
    st=compare(inp[i],st)
print(sum(st))

Fixed submission:
N=int(input())
import copy
inp=[]
for i in range(N):
    inp.append(list(map(int,input().split(" "))))

def compare(A,B):
    if A[0]>=B[0] and A[1]>=B[1]:
        return A
    else:
        if B[0]%A[0]!=0:
            i=B[0]//A[0]+1
        else:
            i=B[0]//A[0]
        if B[1]%A[1]!=0:
            j=B[1]//A[1]+1 
        else:
            j=B[1]//A[1]
        m=max(i,j)
        return [A[0]*m,A[1]*m]
st=inp[0]
for i in range(1,N):
    st=compare(inp[i],st)
print(sum(st))
Buggy python submission (verdict: Runtime Error):
inp=input().split(" ")
H=int(inp[0])
W=int(inp[1])
N=int(inp[2])
square=[]
plot=[]
times=[0 for i in range(10)]
times[0]=(H-2)*(W-2)
from collections import defaultdict
count=defaultdict(lambda:0)
def check(a,b,count):
    for i in range(3):
        for j in range(3):
            if a-i>=0 and b-j>=0 and a+2-i<=H-1 and b+2-j<=W-1:
                count[str([a-i,b-j])]+=1
for i in range(N):
    plot.append(list(map(int,input().split(" "))))
    check(plot[i][0]-1,plot[i][1]-1,square)
for i in count.values():
    times[i]+=1
    times[0]-=1
for i in range(len(times)):
    print(times[i])

Fixed submission:
inp=input().split(" ")
H=int(inp[0])
W=int(inp[1])
N=int(inp[2])
plot=[]
times=[0 for i in range(10)]
times[0]=(H-2)*(W-2)
from collections import defaultdict
count=defaultdict(lambda:0)
def check(a,b,count):
    for i in range(3):
        for j in range(3):
            if a-i>=0 and b-j>=0 and a+2-i<=H-1 and b+2-j<=W-1:
                count[str([a-i,b-j])]+=1
for i in range(N):
    plot.append(list(map(int,input().split(" "))))
    check(plot[i][0]-1,plot[i][1]-1,count)
for i in count.values():
    times[i]+=1
    times[0]-=1
for i in range(len(times)):
    print(times[i])

Buggy python submission (verdict: Time Limit Exceeded):
inp=input().split(" ")
H=int(inp[0])
W=int(inp[1])
N=int(inp[2])
square=[]
plot=[]
times=[0 for i in range(10)]
times[0]=(H-2)*(W-2)
from collections import defaultdict
count=defaultdict(lambda:0)
def check(a,b,square):
    for i in range(3):
        for j in range(3):
            if a-i>=0 and b-j>=0 and a+2-i<=H-1 and b+2-j<=W-1:
                square.append([a-i,b-j])
for i in range(N):
    plot.append(list(map(int,input().split(" "))))
    check(plot[i][0]-1,plot[i][1]-1,square)
for i in range(len(square)):
    count[str(square[i])]+=1
for i in count.values():
    times[i]+=1
    times[0]-=1
for i in range(len(times)):
    print(times[i])

Fixed submission:
inp=input().split(" ")
H=int(inp[0])
W=int(inp[1])
N=int(inp[2])
plot=[]
times=[0 for i in range(10)]
times[0]=(H-2)*(W-2)
from collections import defaultdict
count=defaultdict(lambda:0)
def check(a,b,count):
    for i in range(3):
        for j in range(3):
            if a-i>=0 and b-j>=0 and a+2-i<=H-1 and b+2-j<=W-1:
                count[str([a-i,b-j])]+=1
for i in range(N):
    plot.append(list(map(int,input().split(" "))))
    check(plot[i][0]-1,plot[i][1]-1,count)
for i in count.values():
    times[i]+=1
    times[0]-=1
for i in range(len(times)):
    print(times[i])
Buggy python submission (verdict: Runtime Error):
inp=input().split(" ")
N=int(inp[0])
A=int(inp[1])
x=list(map(int, input().split(" ")))
x=[0]+x
X=max(x)
dp=[[[0 for i in range(N*X+1)] for j in range(N+1)] for k in range(N+1)]
for j in range(N+1):
    for k in range(N+1):
     for s in range(N*X+1):
        if j==0 and k==0 and s==0:
            dp[j][k][s]=1
        elif j>=1 and s<x[j]:
            dp[j][k][s]=dp[j-1][k][s]
        elif j>=1 and k>=1 and s>=x[j]:
            dp[j][k][s]=dp[j-1][k][s]+dp[j-1][k-1][s-x[j]]
        else:
            dp[j][k][s]=0
print(sum(dp[N][k][k*A] for k in range(1,N+1)))



Fixed submission:
inp=input().split(" ")
N=int(inp[0])
A=int(inp[1])
x=list(map(int, input().split(" ")))
y=[x[i]-A for i in range(N)]
y=[0]+y
X=max(x)
dp=[[0 for i in range(2*N*X+1)] for j in range(N+1)]
for j in range(N+1):
    for t in range(2*N*X+1):
        if j==0 and t==N*X:
            dp[j][t]=1
        elif j>=1 and (t-y[j]<0 or t-y[j]>2*X*N):
            dp[j][t]=dp[j-1][t]
        elif j>=1 and 0<=t-y[j] and t-y[j]<=2*N*X:
            dp[j][t]=dp[j-1][t]+dp[j-1][t-y[j]]
        else:
            dp[j][t]=0
print(dp[N][N*X]-1)
Buggy python submission (verdict: Runtime Error):
n=int(input())
s=int(input())
a="-1"
def f(b,n):
    if n<b:
        return n
    else:
        return f(b,n//b)+n%b
if n==s:
    a=n+1
i=2
while 0<=i<=n**(1/2):
    if f(i,n)==s:
        a=i
        break
    i+=1
if a=="-1":
    for p in range(1,int(n**(1/2))):
        b=(n-s)/p+1
        if f(b,n)==s:
            a=b
            break
print(int(a))

Fixed submission:
n=int(input())
s=int(input())
ans="-1"
def f(b,n):
    if n<b:
        return n
    else:
        return f(b,n//b)+n%b
if n==s:
    ans=n+1
for b in range(2,int(n**(1/2)+1)):
    if f(b,n)==s:
        ans=b
        break
if ans=="-1":
    for p in range(int(n**(1/2)+1),0,-1):
        b=int((n-s)/p)+1
        if b>=2:
            if f(b,n)==s:
                ans=b
                break
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations
x,y=map(int,input().split())
z=[4]*x
l=[2]*x
for i in z:
	l.append(i)
c=combinations(l,x)
v=0
for i in c:
	if sum(i)==y:
		print("Yes")
		v=1
		break
if v==0:
	print("No")

Fixed submission:
from itertools import combinations
x,y=map(int,input().split())
if y%2!=0:
	print("No")
else:
	if 2*x==y or 4*x==y:
		print("Yes")
	else:
		v=0
		for i in range(1,x+1):
			if 2*i+4*(x-i)==y or 4*i+2*(x-i)==y:
				print("Yes")
				v=1
				break
		if v==0:
			print("No")
Buggy python submission (verdict: Runtime Error):
s=input()
l=[]
i=0
while len(l)!=3:
  if s[i] not in l:
    l.append(s[i])
  else:
    l.clear()
    l.append(s[i])
  i+=1
print(''.join(l))


Fixed submission:
s=input()
print(s[0:3])
Buggy python submission (verdict: Runtime Error):
n,k=map(int,input().split())
l=[]
for k in range(n):
  l.append(k)
for i in range(k):
  d=int(input())
  s=input().split()
  for j in s:
    if int(j) in l:
      l.remove(int(j))
print(len(l))

  

Fixed submission:
n,k=map(int,input().split())
l=[]
for m in range(1,n+1):
  l.append(m)
for i in range(k):
  d=int(input())
  s=input().split()
  for j in s:
    if int(j) in l:
      l.remove(int(j))
print(len(l))
Buggy python submission (verdict: Runtime Error):
a,b=map(int,input().split)
c=input().split()
l=[]
for i in c:
  l.append(int(i))
if sum(l)>a:
  print(-1,end="")
else:
  print(a-sum(l),end="")
  

Fixed submission:
a,b=map(int,input().split())
c=input().split()
l=[]
for i in c:
  l.append(int(i))
if sum(l)>a:
  print(-1,end="")
else:
  print(a-sum(l),end="")
Buggy python submission (verdict: Runtime Error):
N = int(input())
divisors = [0] * N
ans = 0
for i in range(N):
    num = i+1
    for j in range(i, N, num):
        divisors[j] += 1
    ans += num * divisors[i]
print(ans)

Fixed submission:
import numpy as np
N, M, K = map(int, input().split())
A = [0]
B = [0]
A += list(map(int, input().split()))
B += list(map(int, input().split()))
A_cumsum = np.cumsum(A, dtype='int64')
B_cumsum = np.cumsum(B, dtype='int64')

def binary_search(k):
    if B_cumsum[-1] <= k:
        return M
    right = M
    left = 0
    while right != left:
        mid = (left + right) // 2
        if B_cumsum[mid] > k:
            right = mid
        else:
            left = mid + 1
    return left - 1

ans = 0
for i in range(N+1):
    count = 0
    if A_cumsum[i] <= K:
        count += i
    else:
        break
    count += binary_search(K - A_cumsum[i])
    if ans < count:
        ans = count
print(ans)
Buggy python submission (verdict: Runtime Error):
import numpy as np
N = int(input())
divisors = np.array([0] * N, dtype = 'int64')
ans = 0
for i in range(N):
    num = i+1
    divisors[i:N:num] += 1
    ans += num * divisors[i]
print(ans)

Fixed submission:
N = int(input())
ans = 0
for i in range(1, N+1):
    ans += i * (N // i) * (N // i + 1) // 2
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))

ans = 1
for i in A:
    ans *= i

print(ans if ans <= 10 ** 18 else -1)

Fixed submission:
N = int(input())
A = list(map(int, input().split()))

ans = 1
if A.count(0) >= 1:
    print(0)
    exit()
for i in A:
    ans *= i
    if ans > 10 ** 18:
        print(-1)
        exit()
print(ans)
Buggy python submission (verdict: Runtime Error):
A, B = input().split()
print(int(A) * int(B[0] + B[1] + B[2] + B[3]) // 100)

Fixed submission:
A, B = input().split()
print(int(A) * int(B[0] + B[2] + B[3]) // 100)
Buggy python submission (verdict: Runtime Error):
import math
from sympy import isprime
N = int(input())

z = []

def isprime(n):
    if n <= 1:
        return False
    for i in range(2, int(math.sqrt(n)) + 1):
        if n % i == 0:
            return False
    return True
    
def judge(n):
    if isprime(n):
        return True
    for i in range(2, int(math.sqrt(n)+1)):
        if n % i == 0:
            n = n // i
            while n != 1:
                if n % i != 0:
                    return False
                n //= i
            return True
        return False


ans = 0
num = []
i = 2
while N != 1:
    
    if isprime(N):
        ans += 1
        break
    if N % i == 0 and judge(i): 
        N //= i
        ans += 1
        num.append(i)

    i += 1
    



print(ans)

Fixed submission:
import math

N = int(input())

def judge(n):
    if n <= 1:
        return False
    for i in range(2, int(math.sqrt(n))+1):
        if n % i == 0:
            n //= i
            while n != 1:
                if n % i != 0:
                    return False
                n //= i
            return True
    return True


def get_prime(n):
    if n <= 1:
        return []
    prime = [2]
    limit = int(math.sqrt(n))

    data = [i + 1 for i in range(2, n, 2)]
    while limit > data[0]:
        prime.append(data[0])
        data = [j for j in data if j % data[0] != 0]
    return prime + data

ans = 0
i = 2
limit = int(math.sqrt(N))
while N != 1:
    
    if i > limit:
        if N > i:
            ans += 1
        break
    if N % i == 0 and judge(i): 
        N //= i
        ans += 1
        
    i += 1
    
print(ans)

Buggy python submission (verdict: Runtime Error):
import math
from sympy import isprime
N = int(input())

z = []

def judge(n):
    if isprime(n):
        return True
    for i in range(2, int(math.sqrt(n)+1)):
        if n % i == 0:
            n = n // i
            while n != 1:
                if n % i != 0:
                    return False
                n //= i
            return True
        return False


ans = 0
num = []
i = 2
while N != 1:
    
    if isprime(N):
        ans += 1
        break
    if N % i == 0 and judge(i): 
        N //= i
        ans += 1
        num.append(i)

    i += 1
    



print(ans)

Fixed submission:
import math

N = int(input())

def judge(n):
    if n <= 1:
        return False
    for i in range(2, int(math.sqrt(n))+1):
        if n % i == 0:
            n //= i
            while n != 1:
                if n % i != 0:
                    return False
                n //= i
            return True
    return True


def get_prime(n):
    if n <= 1:
        return []
    prime = [2]
    limit = int(math.sqrt(n))

    data = [i + 1 for i in range(2, n, 2)]
    while limit > data[0]:
        prime.append(data[0])
        data = [j for j in data if j % data[0] != 0]
    return prime + data

ans = 0
i = 2
limit = int(math.sqrt(N))
while N != 1:
    
    if i > limit:
        if N > i:
            ans += 1
        break
    if N % i == 0 and judge(i): 
        N //= i
        ans += 1
        
    i += 1
    
print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())
S = input()

r_cnt = S.count('R')
g_cnt = S.count('G')
b_cnt = S.count('B')

ans = r_cnt * g_cnt * b_cnt

for i in range(1,N+1):
    for d in range(1, N+1):
        j = i+d
        k = j+d
        if k > N:
            break
        if S[i] != S[j] and S[j] != S[k] and S[k] != S[i]:
            ans -= 1
print(ans)

Fixed submission:
N = int(input())
S = input()

r_cnt = S.count('R')
g_cnt = S.count('G')
b_cnt = S.count('B')

ans = r_cnt * g_cnt * b_cnt

for i in range(N):
    for d in range(N):
        j = i+d
        k = j+d
        if k >= N:
            break
        if S[i] != S[j] and S[j] != S[k] and S[k] != S[i]:
            ans -= 1
print(ans)