Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int, input().split()))

ans=1

for num in a:
    ans*=num

Inf=10**18

if ans>Inf:
    print(-1)
else:
    print(ans)

Fixed submission:
n=int(input())
a=list(map(int, input().split()))
zero=a.count(0)

Inf=10**18

if zero>=1:
    print(0)
else:
    ans=1
    a.sort(reverse=True)
    for num in a:
        ans*=num
        if ans>Inf:
            print(-1)
            exit()
    
    print(ans)

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

ans=1

for num in a:
    ans*=num

Inf=10**18

if ans>Inf:
    print(-1)
else:
    print(ans)

Fixed submission:
n=int(input())
a=list(map(int, input().split()))
zero=a.count(0)

Inf=10**18

if zero>=1:
    print(0)
else:
    ans=1
    a.sort(reverse=True)
    for num in a:
        ans*=num
        if ans>Inf:
            print(-1)
            exit()
    
    print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
ans=[]

for i in range(N):
    s=input()
    if s in ans:
        pass
    else:
        ans.append(s)

print(len(ans))

Fixed submission:
N=int(input())
l=[input() for i in range(N)]
k=sorted(l)
cnt=1

for i in range(N-1):
    if k[i]!=k[i+1]:
        cnt+=1

print(cnt)
Buggy python submission (verdict: Time Limit Exceeded):
s= input()[::-1]
 
sum_of_digits = 0
 
cnts = [0] * 2019
 
cnts[0] = 1
 
d = 1
 
for c in s:
    sum_of_digits += int(c) * d
    num = sum_of_digits % 2019
    d *= 10
    cnts[num] += 1
 
ans = 0
    
for cnt in cnts:
    ans += cnt * (cnt - 1) // 2
 
print(ans)

Fixed submission:
s= input()[::-1]
 
sum_of_digits = 0
 
cnts = [0] * 2019
 
cnts[0] = 1
 
d = 1
 
for c in s:
    sum_of_digits += int(c) * d
    num = sum_of_digits % 2019
    d *= 10
    d %=2019
    cnts[num] += 1
 
ans = 0
    
for cnt in cnts:
    ans += cnt * (cnt - 1) // 2
 
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
s= input()[::-1]
 
sum_of_digits = 0
 
cnts = [0] * 2019
 
cnts[0] = 1
 
d = 1
 
for c in s:
    sum_of_digits += int(c) * d
    num = sum_of_digits % 2019
    d *= 10
    cnts[num] += 1
 
ans = 0
    
for cnt in cnts:
    ans += cnt * (cnt - 1) // 2
 
print(ans)

Fixed submission:
s= input()[::-1]
 
sum_of_digits = 0
 
cnts = [0] * 2019
 
cnts[0] = 1
 
d = 1
 
for c in s:
    sum_of_digits += int(c) * d
    num = sum_of_digits % 2019
    d *= 10
    d %=2019
    cnts[num] += 1
 
ans = 0
    
for cnt in cnts:
    ans += cnt * (cnt - 1) // 2
 
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
s=input()
l=len(s)
cnts=[0]*2019
cnts[0]=1
mod=2019
ans=0
for i in range(1,l+1):
    num = int(s[-i:])%mod
    cnts[num]+=1

for i in range(2018):
    ans+= cnts[i]*(cnts[i]-1)//2

print(ans)

Fixed submission:
s= input()[::-1]
 
sum_of_digits = 0
 
cnts = [0] * 2019
 
cnts[0] = 1
 
d = 1
 
for c in s:
    sum_of_digits += int(c) * d
    num = sum_of_digits % 2019
    d *= 10
    d %=2019
    cnts[num] += 1
 
ans = 0
    
for cnt in cnts:
    ans += cnt * (cnt - 1) // 2
 
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
s=input()
l=len(s)
mod=2019
cnt=0

i=0
while -3-i!=-l:
    if int(s[-3-i:])%mod==0:
        cnt+=1
    i+=1

k=1
while -k!=-(l-3):
    j=1
    while -3-k-j!=-l-1:
        if int(s[-3-k-j:-k])%mod==0:
            cnt+=1
        j+=1

    k+=1
print(cnt)

Fixed submission:
s= input()[::-1]
 
sum_of_digits = 0
 
cnts = [0] * 2019
 
cnts[0] = 1
 
d = 1
 
for c in s:
    sum_of_digits += int(c) * d
    num = sum_of_digits % 2019
    d *= 10
    d %=2019
    cnts[num] += 1
 
ans = 0
    
for cnt in cnts:
    ans += cnt * (cnt - 1) // 2
 
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
s=input()
l=len(s)
mod=2019
cnt=0

i=0
while -3-i!=-l:
    if int(s[-3-i:])%mod==0:
        cnt+=1
    i+=1

k=1
while -k!=-(l-3):
    j=1
    while -3-k-j!=-l-1:
        if int(s[-3-k-j:-k])%mod==0:
            cnt+=1
        j+=1

    k+=1
print(cnt)

Fixed submission:
s= input()[::-1]
 
sum_of_digits = 0
 
cnts = [0] * 2019
 
cnts[0] = 1
 
d = 1
 
for c in s:
    sum_of_digits += int(c) * d
    num = sum_of_digits % 2019
    d *= 10
    d %=2019
    cnts[num] += 1
 
ans = 0
    
for cnt in cnts:
    ans += cnt * (cnt - 1) // 2
 
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=list(map(int, input().split()))

for i in range(1, N+1):
    k=A.count(i)
    print(k)

Fixed submission:
N=int(input())
A=list(map(int, input().split()))
cnt=[0]*N

for i in range(N-1):
    cnt[A[i]-1]+=1

for k in range(N):
    print(cnt[k])

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

for i in range(1, N+1):
    k=A.count(i)
    print(k)

Fixed submission:
N=int(input())
A=list(map(int, input().split()))
cnt=[0]*N

for i in range(N-1):
    cnt[A[i]-1]+=1

for k in range(N):
    print(cnt[k])

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=list(input().split())
cnt=[]

for i in range(N+1):
    if i==0:
        continue
    i=str(i)
    k=A.count(i)
    print(k)

Fixed submission:
N=int(input())
A=list(map(int, input().split()))
cnt=[0]*N

for i in range(N-1):
    cnt[A[i]-1]+=1

for k in range(N):
    print(cnt[k])

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=list(input().split())
cnt=[]

for i in range(N+1):
    i=str(i)
    k=A.count(i)
    cnt.append(k)

for i in range(N+1):
    if  i==0:
        continue
    print(cnt[i])

Fixed submission:
N=int(input())
A=list(map(int, input().split()))
cnt=[0]*N

for i in range(N-1):
    cnt[A[i]-1]+=1

for k in range(N):
    print(cnt[k])
Buggy python submission (verdict: Time Limit Exceeded):
import math
K=int(input())
sum=0
for i in range(1, K+1):
    for j in range(1, K+1):
        for k in range(1, K+1):
            sum+=math.gcd(math.gcd(i, j), k)
print(sum)

Fixed submission:
import math
K=int(input())
sum=int(0.5*K*(K+1))

for i in range(1, K):
    for j in range(i+1, K+1):
        sum+=6*math.gcd(i, j)

for i in range(1, K-1):
    for j in range(i+1, K):
        for k in range(j+1, K+1):
            sum+=6*math.gcd(math.gcd(i, j), k)

print(sum)

Buggy python submission (verdict: Time Limit Exceeded):
import math
K=int(input())
sum=0
for i in range(1, K+1):
    for j in range(1, K+1):
        for k in range(1, K+1):
            sum+=math.gcd(math.gcd(i, j), k)
print(sum)

Fixed submission:
import math
K=int(input())
sum=int(0.5*K*(K+1))

for i in range(1, K):
    for j in range(i+1, K+1):
        sum+=6*math.gcd(i, j)

for i in range(1, K-1):
    for j in range(i+1, K):
        for k in range(j+1, K+1):
            sum+=6*math.gcd(math.gcd(i, j), k)

print(sum)
Buggy python submission (verdict: Runtime Error):
N, M = map(int, input(). split())
A = list(map(int, input().split())
A.sort()
S = sum(A)
         
if 1/(4*M) <= A[N-M]/S :
	print("YES")
else:
	print("NO")

Fixed submission:
N, M = map(int, input(). split())
A = list(map(int, input().split()))
A.sort()
S = sum(A)
         
if 1/(4*M) <= A[N-M]/S :
	print("Yes")
else:
	print("No")

Buggy python submission (verdict: Runtime Error):
N, M = map(int, input(). split())
A = list(map(int, input().split())
A.sort()
S = sum(A)
         
if 1/(4M) <= A[N-M]/S :
	print("YES")
else:
	print("NO")

Fixed submission:
N, M = map(int, input(). split())
A = list(map(int, input().split()))
A.sort()
S = sum(A)
         
if 1/(4*M) <= A[N-M]/S :
	print("Yes")
else:
	print("No")
Buggy python submission (verdict: Runtime Error):
N,K =int(input().split())
print(min(N%K, abs((N%K)-K)))

Fixed submission:
N, K=map(int, input().split())
min=min(N%K, abs((N%K)-K))
print(min)

Buggy python submission (verdict: Time Limit Exceeded):
N, K =map(int, input().split())
min = N
 
while abs(N-K) < min:
	if abs(N-K) < min:
		min = abs(N-K)
		N -= K
 
print(min)

Fixed submission:
N, K=map(int, input().split())
min=min(N%K, abs((N%K)-K))
print(min)

Buggy python submission (verdict: Runtime Error):
N, K = map(int, input().split())

while N-K >= 0:
	num1 = N-K
	N = N-K
    
num2 = abs(num1-K)
if num1 < num2:
  print(num1)
else:
  print(num2)

Fixed submission:
N, K=map(int, input().split())
min=min(N%K, abs((N%K)-K))
print(min)

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

while abs(N-K) <= min:
	if abs(N-K) <= min:
		min = abs(N-K)
		N -= K

print(min)

Fixed submission:
N, K=map(int, input().split())
min=min(N%K, abs((N%K)-K))
print(min)
Buggy python submission (verdict: Runtime Error):
S=input()
N=len(S)
cnt=0
cnt1=0
cnt2=0
for i in range (N):
    if S[i]==S[N-1-i]:
        cnt+=1
 
if cnt==N:
    for j in range((N-1)//2):
        if  S[j]==S[(N-1)//2 -1-j]:
            cnt1+=1
    if cnt1==(N-1)//2:
        for k in range((N-1)//2):
            if S[(N+3)//2 -1+k]==S[N-1-k]:
                cnt2+=1
    else:
        print("No")
		exit()
    if cnt2==(N-1)//2:
        print("Yes")
    else:
        print("No")
else:
    print("No")

Fixed submission:
S=input()
N=len(S)
cnt=0
cnt1=0
cnt2=0
for i in range (N):
    if S[i]==S[N-1-i]:
        cnt+=1

if cnt==N:
    for j in range((N-1)//2):
        if  S[j]==S[(N-1)//2 -1-j]:
            cnt1+=1
    if cnt1==(N-1)//2:
        for k in range((N-1)//2):
            if S[(N+3)//2 -1+k]==S[N-1-k]:
                cnt2+=1
    else:
        print("No")
        exit()
    if cnt2==(N-1)//2:
        print("Yes")
    else:
        print("No")
else:
    print("No")
Buggy python submission (verdict: Time Limit Exceeded):
import math
def combinations_count(n, r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))

N=int(input())
a=list(map(int, input().split()))
cnt=[0]*N

for i in range(N):
    cnt[a[i]-1]+=1

c_sum=0
for i in range(N):
    if cnt[i]>=2:
        c_sum+=combinations_count(cnt[i], 2)
    else:
        pass

for i in range(N):

    k=cnt[a[i]-1]
    l=cnt[a[i]-1]-1

    if cnt[a[i]-1]>=2:
        k=combinations_count(cnt[a[i]-1],2)
    else:
        k=0
    
    if cnt[a[i]-1]-1>=2:
        l=combinations_count(cnt[a[i]-1]-1,2)
    else:
        l=0
    
    d=-k+l
    print(c_sum+d)




Fixed submission:
N=int(input())
a=list(map(int, input().split()))
cnt=[0]*N

for i in range(N):
    cnt[a[i]-1]+=1

c_sum=0
for i in range(N):
    c_sum+=(cnt[i]*(cnt[i]-1))//2

for i in range(N):
    k=(cnt[a[i]-1])*(cnt[a[i]-1]-1) //2
    l=(cnt[a[i]-1]-1)*(cnt[a[i]-1]-2) //2
    d=k-l
    print(c_sum-d)
Buggy python submission (verdict: Runtime Error):
import collections
N=int(input())
l=[input() for i in range(N)]
c=collections.Counter(l)
c=c.most_common()
l2=[]
 
M=c.[0][1]
for i in range(N):
    if c.[i][1]==M:
        l2.append(c.[i][0])
    else:
        break
l2.sort()
for j in range(len(l2)):
    print(l2[j])

Fixed submission:
A, B, C=map(int, input().split())

if A==B and B!=C:
    print("Yes")
elif B==C and C!=A:
    print("Yes")
elif C==A and A!=B:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
import collections
N=int(input())
l=[input() for i in range(N)]
c=collections.Counter(l)
c=c.most_common()
l2=[]

M=c.[0][1]
for i in range(N):
    if c.[i][1]==M:
        l2.append(c.[i][0])
    else:
        break
l2.sort()
for j in range(len(l2)):
    print(l2[j])

Fixed submission:
A, B, C=map(int, input().split())

if A==B and B!=C:
    print("Yes")
elif B==C and C!=A:
    print("Yes")
elif C==A and A!=B:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
import collections
N=int(input())
l=[input() for i in range(N)]
c=collections.Counter(l)
c=c.most_common()
l2=[]
 
M=c.[0][1]
for i in range(N):
    if c.[i][1]==M:
        l2.append(c.[i][0])
    else:
        break
l2.sort()
for j in range(len(l2)):
    print(l2[j])

Fixed submission:
N=int(input())
dic={}
for i in range(N):
    s=input()
    if s in dic:
        dic[s]+=1
    else:
        dic[s]=0
m=max(dic[i] for i in dic)
ans=[]
for j in dic:
    if dic[j]==m:
        ans.append(j)
ans.sort()
for k in range(len(ans)):
    print(ans[k])

Buggy python submission (verdict: Runtime Error):
import collections
N=int(input())
l=[input() for i in range(N)]
c=collections.Counter(l)
c=c.most_common()
l2=[]
 
M=c.[0][1]
for i in range(len(c)):
    if c.[i][1]==M:
        l2.append(c.[i][0])
    else:
        break
l2.sort()
for j in range(len(l2)):
    print(l2[j])

Fixed submission:
N=int(input())
dic={}
for i in range(N):
    s=input()
    if s in dic:
        dic[s]+=1
    else:
        dic[s]=0
m=max(dic[i] for i in dic)
ans=[]
for j in dic:
    if dic[j]==m:
        ans.append(j)
ans.sort()
for k in range(len(ans)):
    print(ans[k])

Buggy python submission (verdict: Runtime Error):
import collections
N=int(input())
l=[input() for i in range(N)]
c=collections.Counter(l)
l2=[]

M=c.most_common()[0][1]
for i in range(N):
    if c.most_common()[i][1]==M:
        l2.append(c.most_common()[i][0])
    else:
        break
l2.sort()
for j in range(len(l2)):
    print(l2[j])

Fixed submission:
N=int(input())
dic={}
for i in range(N):
    s=input()
    if s in dic:
        dic[s]+=1
    else:
        dic[s]=0
m=max(dic[i] for i in dic)
ans=[]
for j in dic:
    if dic[j]==m:
        ans.append(j)
ans.sort()
for k in range(len(ans)):
    print(ans[k])
Buggy python submission (verdict: Runtime Error):
H, A=map(int, input().split())

if A>=H:
	print(1)
else:
  print((N//M)+1)

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

if A>=H:
	print(1)
elif H%A==0:
	print(H//A)
else:
	print((H//A)+1)
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
p=list(map(int, input().split()))
 
cnt=0
for i in range(N):
    min=p[0]
    for j in range(i):
        if min>=p[j]:
            min=p[j]
    
    if p[i]<=min:
        cnt+=1
 
print(cnt)

Fixed submission:
N=int(input())
p=list(map(int, input().split()))
 
cnt=0
min=p[0]
for i in range(N):
	if p[i]<=min:
		min=p[i]
		cnt+=1
	
print(cnt)

Buggy python submission (verdict: Runtime Error):
N=int(input())
p=list(map(int, input().split()))

cnt=0
min=p[0]
for i in range(N):
	if p[i]<=min:
		min=p[i]
        cnt+=1
	
print(cnt)

Fixed submission:
N=int(input())
p=list(map(int, input().split()))
 
cnt=0
min=p[0]
for i in range(N):
	if p[i]<=min:
		min=p[i]
		cnt+=1
	
print(cnt)

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

cnt=0
for i in range(N):
    min=p[0]
    for j in range(i):
        if min>=p[j]:
            min=p[j]
    
    if p[i]<=min:
        cnt+=1

print(cnt)

Fixed submission:
N=int(input())
p=list(map(int, input().split()))
 
cnt=0
min=p[0]
for i in range(N):
	if p[i]<=min:
		min=p[i]
		cnt+=1
	
print(cnt)

Buggy python submission (verdict: Runtime Error):
N=int(input())
p=list(map(int, input().split()))
cnt=0
min=p[0]
for i in range(N):
	if p[i]<=min:
		min=p[i]
        cnt+=1
        
print(cnt)

Fixed submission:
N=int(input())
p=list(map(int, input().split()))
 
cnt=0
min=p[0]
for i in range(N):
	if p[i]<=min:
		min=p[i]
		cnt+=1
	
print(cnt)

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

cnt=0
for i in range(N):
    min=p[0]
    for j in range(i):
        if min>=p[j]:
            min=p[j]
    
    if p[i]<=min:
        cnt+=1

print(cnt)

Fixed submission:
N=int(input())
p=list(map(int, input().split()))
 
cnt=0
min=p[0]
for i in range(N):
	if p[i]<=min:
		min=p[i]
		cnt+=1
	
print(cnt)
Buggy python submission (verdict: Runtime Error):
N, M=map(int, input().split())
ac=[0]*N
wa=[0]*N

for i in range(M):
    p, S=input().split()
    p=int(p)
    if ac[p-1]==0:
        if S=="AC":
            ac[p-1]=1
        elif S=="WA":
            wa[p-1]+=1
            
wacnt=0
for i in range(N):
	if ac[i]>=1:
      wacnt+=wa[i]
		
print(sum(ac), wacnt)

Fixed submission:
N, M=map(int, input().split())
ac=[0]*N
wa=[0]*N

for i in range(M):
    p, S=input().split()
    p=int(p)
    if ac[p-1]==0:
        if S=="AC":
            ac[p-1]=1
        elif S=="WA":
            wa[p-1]+=1
            
wacnt=0
for i in range(N):
	if ac[i]>=1:
		wacnt+=wa[i]
		
print(sum(ac), wacnt)
Buggy python submission (verdict: Runtime Error):
import itertools
 
N = int(input())
P = list(map(int, input().split()))
Q = list(map(int, input().split()))
U = list(itertools.permutations(range(1, N+1)))
a = U.index(P)
b = U.index(Q)
print(abs(a-b))

Fixed submission:
import itertools

N = int(input())
P = tuple(map(int, input().split()))
Q = tuple(map(int, input().split()))
U = list(itertools.permutations(range(1, N+1)))
a = U.index(P)
b = U.index(Q)
print(abs(a-b))

Buggy python submission (verdict: Runtime Error):
import itertools

N= int(input())
P=list(map(int, input().split()))
Q=list(map(int, input().split()))
p = list(itertools.permutations(P))
a = p.index(P)
b = p.index(Q)
print(abs(a - b))

Fixed submission:
import itertools

N = int(input())
P = tuple(map(int, input().split()))
Q = tuple(map(int, input().split()))
U = list(itertools.permutations(range(1, N+1)))
a = U.index(P)
b = U.index(Q)
print(abs(a-b))

Buggy python submission (verdict: Runtime Error):
import itertools

N= int(input())
P=list(map(int, input().split()))
Q=list(map(int, input().split()))
p = list(itertools.permutations(range(1, N + 1)))
a = p.index(P)
b = p.index(Q)
print(abs(a - b))

Fixed submission:
import itertools

N = int(input())
P = tuple(map(int, input().split()))
Q = tuple(map(int, input().split()))
U = list(itertools.permutations(range(1, N+1)))
a = U.index(P)
b = U.index(Q)
print(abs(a-b))
Buggy python submission (verdict: Runtime Error):
S=input()
L=len(S)
cnt=0
for i in range(L):
  if L[i] is not L[L-1-i]:
    cnt +=1
print(cnt)

Fixed submission:
S=input()
L=len(S)
cnt=0
for i in range(L//2):
  if S[i] is not S[L-1-i]:
    cnt +=1
print(cnt)
Buggy python submission (verdict: Runtime Error):
n=int(input())
ans=0

for i in range(2**n):
    m=bin(i)[2:].rjust(n, "0")
    cnt=0
    flag=0
    for j in range(n):
        A=int(input())
        if m[j]=="0":
            for k in range(A):
                b, c =input().split()

        elif m[j]=="1":
            for k in range(A):
                b ,c =input().split()
                b=int(b)
                if m[b-1]!=int(c):
                    flag=1
                elif m[b-1]==int(c) and c=="1":
                    cnt+=1
    
    if flag==0 and cnt>ans:
        ans=cnt

print(ans)

Fixed submission:
n=int(input())
word=[]

for i in range(n):
    a=int(input())
    l=[list(map(int, input().split())) for j in range(a)]
    word.append(l)

ans=0

for i in range(2**n):
    flag=0
    cnt=0
    for j in range(n):
        if((i>>j)&1)==1 and flag==0:
            for k in range(len(word[j])):
                if ((i>>word[j][k][0]-1)&1) != word[j][k][1]:
                    flag=1
                    break
    
    if flag==0:
        cnt=bin(i).count("1")
        ans=max(ans, cnt)

print(ans)
Buggy python submission (verdict: Runtime Error):
S = input()
if S = "SUN":
	print(7)
elif S = "MON":
	print(6)
elif S = "TUE":
	print(5)
elif S = "WED":
	print(4)
elif S = "THU":
	print(3)
elif S = "FRI":
	print(2)
else:
	print(1)

Fixed submission:
S = input()
if S == "SUN":
	print(7)
elif S =="MON":
	print(6)
elif S == "TUE":
	print(5)
elif S == "WED":
	print(4)
elif S == "THU":
	print(3)
elif S == "FRI":
	print(2)
else:
	print(1)
Buggy python submission (verdict: Runtime Error):
N = int(input())
S = input()
if N%" == 1:
	print("NO")
else:
  if (S[0: int(N/2)] == S[int(N/2):N]):
    print("YES")
  else:
    print("NO")
  

Fixed submission:
n = int(input())
print(round(n*n))
Buggy python submission (verdict: Runtime Error):
N = int(input())
S = input()
if N%" == 1:
	print("NO")
else:
  if (S[: N//2] == S[N//2:]):
    print("YES")
  else:
    print("NO")
  

Fixed submission:
N = int(input())
S = input()
if N%2 == 1:
  print("No")
else:
  if S[0: N//2] == S[N//2: N]:
    print("Yes")
  else:
    print("No")

Buggy python submission (verdict: Runtime Error):
N = int(input())
S = input()
if N%" == 1:
	print("NO")
else:
  if (S[: N//2] == S[N//2:]):
    print("YES")
  else:
    print("NO")
  

Fixed submission:
N = int(input())
S = input()
if N%2 == 1:
  print("No")
else:
  if S[0: N//2] == S[N//2: N]:
    print("Yes")
  else:
    print("No")

Buggy python submission (verdict: Runtime Error):
N = int(input())
S = input()
if N%2 == 1:
  print("NO")
if (S[0: N/2 -1] == S[N/2: N-1 ]):
  print("YES")
else:
  print("NO")

Fixed submission:
N = int(input())
S = input()
if N%2 == 1:
  print("No")
else:
  if S[0: N//2] == S[N//2: N]:
    print("Yes")
  else:
    print("No")
Buggy python submission (verdict: Runtime Error):
N = int(input())
xi = []
yi = []

for i in range(N):
  x, y = map(int, input(). split())
  xi.append(x)
  yi.append(y)
  
for j in range(N):
  for k in range(N):
    if j >= k:
      continue
    L += math.sqrt((xi[j]-xi[k])**2 + (yi[j]-yi[k])**2)
    
print(2*L/N)

Fixed submission:
import math
N = int(input())
xi = []
yi = []

for i in range(N):
  x, y = map(int, input(). split())
  xi.append(x)
  yi.append(y)

L=0

for j in range(N):
  for k in range(N):
    if j >= k:
      continue
    L += math.sqrt((xi[j]-xi[k])**2 + (yi[j]-yi[k])**2)
    
print(2*L/N)
Buggy python submission (verdict: Runtime Error):
N, K, q=map(int, input().split())
score=[0]*N

for i in range(q):
    score[q-1]+=1

for i in range(N):
    if score[i]-K<=0:
        print("No")
    else:
        print("Yes")

Fixed submission:
N, K, q=map(int, input().split())
score=[0]*N

for i in range(q):
    tmp=int(input())
    score[tmp-1]+=1

for i in range(N):
    if K-(q-score[i])>0:
        print("Yes")
    else:
        print("No")

Buggy python submission (verdict: Time Limit Exceeded):
def scoredown(n):
    return n-1

N, K, q=map(int, input().split())
a=[int(input()) for i in range(q)]
score=[K]*N

for i in range(q):
    score=list(map(scoredown, score))
    score[a[i]-1]+=1

for i in range(N):
    if score[i]<=0:
        print("No")
    else:
        print("Yes")

Fixed submission:
N, K, q=map(int, input().split())
score=[0]*N

for i in range(q):
    tmp=int(input())
    score[tmp-1]+=1

for i in range(N):
    if K-(q-score[i])>0:
        print("Yes")
    else:
        print("No")
Buggy python submission (verdict: Time Limit Exceeded):
a, b=map(int, input().split())
k=min(a, b)
l=max(a, b)
for i in range(k, l+1):
    if abs(a-i)==abs(b-i):
        print(i)
        exit()

print("IMPOSSIBLE")


Fixed submission:
a, b=map(int, input().split())
k=max(a, b)
l=min(a, b)
if (k+l)%2==0:
    print((k+l)//2)
else:
    print("IMPOSSIBLE")
Buggy python submission (verdict: Time Limit Exceeded):
L, R = map(int, input().split())
mod = 2019
ans = 2018
for i in range(L, R):
    for j  in range(i+1, R+1):
        if ans >= i*j%mod:
            ans = i*j%mod
        if ans == 0:
            break
            
print(ans)

Fixed submission:
L, R = map(int, input().split())
mod = 2019
ans = 2018
for i in range(L, R):
    for j in range(i+1, R+1):
        if ans >= i*j%mod:
            ans = i*j%mod
        if ans == 0:
            break

    if ans == 0:
        break

print(ans)
Buggy python submission (verdict: Runtime Error):
import math
a, b, c, d=map(int, input().split())
k=math.gcd(c, d)
lcm=c*d//k
x=b//c - a//c
y=b//d - a//d
z=b//lcm - a//lcm
print(b-a+1-(x+y-z))

Fixed submission:
import fractions
a, b, c, d=map(int, input().split())
k=fractions.gcd(c, d)
lcm=c*d//k
x=b//c - (a-1)//c
y=b//d - (a-1)//d
z=b//lcm - (a-1)//lcm
print(b-a+1-(x+y-z))

Buggy python submission (verdict: Time Limit Exceeded):
A, B, C, D=map(int, input().split())
cnt=0

for i in range(A, B+1):
  if i%C !=0 and i%D !=0:
    cnt +=1
print(cnt)

Fixed submission:
import fractions
a, b, c, d=map(int, input().split())
k=fractions.gcd(c, d)
lcm=c*d//k
x=b//c - (a-1)//c
y=b//d - (a-1)//d
z=b//lcm - (a-1)//lcm
print(b-a+1-(x+y-z))