Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = list(input())
b = list(input())
c = list(input())

ans = 0
for i in range(n):
  aa = a[i]
  bb = b[i]
  cc = c[i]
  if len(set([a,b,c])) == 1:
    continue
  elif len(set([a,b,c])) == 2:
    ans += 1
  else:
    ans += 2
print(ans)

Fixed submission:
n = int(input())
a = list(input())
b = list(input())
c = list(input())

ans = 0
for i in range(n):
  aa = a[i]
  bb = b[i]
  cc = c[i]
  if len(set([aa,bb,cc])) == 1:
    continue
  elif len(set([aa,bb,cc])) == 2:
    ans += 1
  else:
    ans += 2
print(ans)
Buggy python submission (verdict: Runtime Error):
n,m = map(int,input().split())
py = []
p_y = [[0] * (10**5) for i in range(n)]
for _ in range(m):
    p,y = map(int,input().split())
    py.append((p,y))
    p_y[p-1][y-1] = 1

for i, tmp in enumerate(p_y):
    cnt = 1
    for j in range(len(tmp)):
        if tmp[j] == 0:
            continue
        else:
            p_y[i][j] = cnt
            cnt += 1

for i, tmp in enumerate(py):
    s = ''
    s += str(tmp[0]).zfill(6)
    s += str(p_y[tmp[0]-1][tmp[1]-1]).zfill(6)
    print(s)


Fixed submission:
n,m = map(int,input().split())
py = []
p_y = [[] for i in range(n)]
for _ in range(m):
    p,y = map(int,input().split())
    py.append((p,y))
    p_y[p-1].append(y)
ans = {}
for i, tmp in enumerate(p_y):
    cnt = 1
    p_y[i] = tmp.sort()
    for j, jj in enumerate(tmp):

        ans[(i+1, jj)] = str(i+1).zfill(6) + str(j+1).zfill(6)


for i, tmp in enumerate(py):
    print(ans[tmp])

Buggy python submission (verdict: Runtime Error):
n,m = map(int,input().split())
py = []
p_y = [[0] * (10**5) for i in range(n)]
for _ in range(m):
    p,y = map(int,input().split())
    py.append((p,y))
    p_y[p-1][y-1] = 1

for i, tmp in enumerate(p_y):
    cnt = 1
    for j in range(len(tmp)):
        if tmp[j] == 0:
            continue
        else:
            p_y[i][j] = cnt
            cnt += 1

for i, tmp in enumerate(py):
    s = ''
    s += str(tmp[0]).zfill(6)
    s += str(p_y[tmp[0]-1][tmp[1]-1]).zfill(6)
    print(s)


Fixed submission:
n,m = map(int,input().split())
py = []
p_y = [[] for i in range(n)]
for _ in range(m):
    p,y = map(int,input().split())
    py.append((p,y))
    p_y[p-1].append(y)
ans = {}
for i, tmp in enumerate(p_y):
    cnt = 1
    p_y[i] = tmp.sort()
    for j, jj in enumerate(tmp):

        ans[(i+1, jj)] = str(i+1).zfill(6) + str(j+1).zfill(6)


for i, tmp in enumerate(py):
    print(ans[tmp])
Buggy python submission (verdict: Runtime Error):
import fractions
n,m = map(int,input().split())
s = input()
t = input()

lcm = n*m // fractions.gcd(n,m)
i = lcm
cnt = 0
while True:
    ans = [''] * i
    ai = 0
    for si in range(0,n):

        ans[ai] = s[si]
        ai += lcm//n
    ai = 0
    flg = True
    for ti in range(m):
        if ans[ai] == '' or t[ti] == ans[ai]:
            ans[ai] = t[ti]
        else:
            flg = False
            break
        ai += lcm//m
    if flg :
        print(i)
        break
    i += lcm
    cnt += 1
    if cnt == 10000:
        print(-1)
        break


Fixed submission:
import fractions
n,m = map(int,input().split())
s = input()
t = input()

lcm = n*m // fractions.gcd(n,m)
ans = -1
ss = lcm // m
ts = lcm // n
j = 0
flg = True
for i in range(0,n,ss):
    if s[i] == t[j] :
        j += ts
        continue
    else:
        flg = False
        break

if flg :
    ans = lcm
print(ans)

Buggy python submission (verdict: Runtime Error):
import math
n,m = map(int,input().split())
s = input()
t = input()

lcm = n*m // math.gcd(n,m)
i = lcm
cnt = 0
while True:
    ans = [''] * i
    ai = 0
    for si in range(0,n):

        ans[ai] = s[si]
        ai += lcm//n
    ai = 0
    flg = True
    for ti in range(m):
        if ans[ai] == '' or t[ti] == ans[ai]:
            ans[ai] = t[ti]
        else:
            flg = False
            break
        ai += lcm//m
    if flg :
        print(i)
        break
    i += lcm
    cnt += 1
    if cnt == 10000:
        print(-1)
        break


Fixed submission:
import fractions
n,m = map(int,input().split())
s = input()
t = input()

lcm = n*m // fractions.gcd(n,m)
ans = -1
ss = lcm // m
ts = lcm // n
j = 0
flg = True
for i in range(0,n,ss):
    if s[i] == t[j] :
        j += ts
        continue
    else:
        flg = False
        break

if flg :
    ans = lcm
print(ans)
Buggy python submission (verdict: Runtime Error):
import collections
def main():
    n = int(input())
    v = list(map(int,input().split()))

    odd = v[1::2]
    count_e = collections.Counter(even)
    count_o = collections.Counter(odd)
    ce = count_e.most_common()
    co = count_o.most_common()
    if ce[0][0] != co[0][0]:
        print(n-ce[0][1] - co[0][1])
    else:
        if len(ce) == 1 and len(co) == 1:
            print(n//2)
        elif len(ce) == 1:
            print(n-co[1][1])
        elif len(co) == 1:
            print(n-ce[1][1])
        else:
            print(min(n-ce[0][1]-co[1][1], n-ce[1][1]-co[0][1]))




if __name__ == '__main__':
    main()


Fixed submission:
import collections
def main():
    n = int(input())
    v = list(map(int,input().split()))

    if len(set(v)) == 1:
        print(n//2)
    elif len(set(v)) == 2:
        cnt1 = 0
        cnt2 = 0
        tmp1 = list(set(v))
        tmp2 = [tmp1[1], tmp1[0]]
        # even = v[::2]
        # odd = v[1::2]
        #
        for i, a in enumerate(v):
            if i % 2 == 0:
                if a == tmp1[0]:
                    cnt1 += 1
                if a == tmp2[0]:
                    cnt2 += 1
            else :
                if a == tmp1[1]:
                    cnt1 += 1
                if a == tmp2[1]:
                    cnt2 += 1
        print(n-max(cnt1,cnt2))
    else:
        even = v[::2]
        odd = v[1::2]
        count_e = collections.Counter(even)
        count_o = collections.Counter(odd)
        ce = count_e.most_common()
        co = count_o.most_common()
        if ce[0][0] != co[0][0]:
            print(n-ce[0][1] - co[0][1])
        else:
            if len(ce) == 1:
                print(n-co[1][1])
            elif len(co) == 1:
                print(n-ce[1][1])
            else:
                print(min(n-ce[0][1]-co[1][1], n-ce[1][1]-co[0][1]))




if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
import collections
s = list(input())
sset = set(s)
if len(sset) != 26:
    for i in range(97,123):
        if chr(i) in sset:
            continue
        else:
            tmp = chr(i)
            s.append(tmp)
            break

    print(''.join(s))
    exit()
else:
    tmp = []
    flg = False
    s = s[::-1]
    for i in range(1,26):
        if ord(s[i-1]) < ord(s[i]) and not flg:
            flg = True
            tmp.append(ord(s[i-1]))
            tmp.append((ord(s[i])))
            continue
        if flg and ord(s[i-1]) > ord(s[i]):
            top = i
            break
        if ord(s[i-1]) < ord(s[i]) and flg:
            tmp.append(ord(s[i]))

    if len(tmp) == 26:
        print(-1)
        exit()
    ans = s[top:]
    ans = ans[::-1]
    ans.append(chr(min(tmp)))
    print(''.join(ans))


Fixed submission:
import collections
s = list(input())
sset = set(s)
if len(sset) != 26:
    for i in range(97,123):
        if chr(i) in sset:
            continue
        else:
            tmp = chr(i)
            s.append(tmp)
            break

    print(''.join(s))
    exit()
else:
    tmp = []
    flg = False
    for i in range(1,26):
        if s[i-1] < s[i]:
            tmp.append(i-1)
            continue

    if len(tmp) == 0:
        print(-1)
        exit()
    change_i = max(tmp)
    if change_i == 0:
        print(chr(ord(s[0])+1))
        exit()
    ans = s[:change_i]
    for i in range(97,123):
        if chr(i) in ans:
            continue
        else:
            if ord(s[change_i]) < i:
                ans.append(chr(i))
                break
    print(''.join(ans))
Buggy python submission (verdict: Runtime Error):
n,m = map(int,input().split())

if n == 1 and m == 1:
    print(1)
elif n >= 2 and m >= 2:
    print((n-2)*(m-2))
elif n == 1:
    print(m-2)
else m == 1:
    print(n-2)


Fixed submission:
n,m = map(int,input().split())

if n == 1 and m == 1:
    print(1)
elif n >= 2 and m >= 2:
    print((n-2)*(m-2))
elif n == 1:
    print(m-2)
else :
    print(n-2)
Buggy python submission (verdict: Time Limit Exceeded):
def main():
    q=int(input())
    aa=0
    bb=0
    a=[]
    b=[]
    ac=[]
    bc=[]
    for _ in range(q):
        aa,bb=map(int,input().split())
        a.append(aa)
        b.append(bb)
        # ac.append(aa)
        # bc.append(bb)

    # sorted(a)
    # sorted(b)
    bm=max(b)
    ans=[0]*100001
    flg=[0]*100001
    flg[0]=1
    flg[1]=1
    ans[2]=1
    ii=int((bm+1)**0.5)
    for i in range(2,100001):

        if flg[i]==0:
            flg[i]=1
            ans[i]=1
            for j in range(i,int(100001**0.5),i):
                flg[j]=1
    for i in range(0,q):
        cnt=0
        for j in range(a[i],b[i]+1):
            if ans[j]==1 and ans[(j+1)//2]==1:
                cnt+=1
        print(cnt)
    # print(ans[:8])
if __name__=='__main__':
    main()


Fixed submission:
def main():
    q=int(input())
    aa=0
    bb=0
    a=[]
    b=[]
    ac=[]
    bc=[]
    for _ in range(q):
        aa,bb=map(int,input().split())
        a.append(aa)
        b.append(bb)
        # ac.append(aa)
        # bc.append(bb)

    # sorted(a)
    # sorted(b)
    bm=max(b)
    ans=[0]*100001
    flg=[0]*100001
    flg[0]=1
    flg[1]=1
    ans[2]=1
    ii=int((bm+1)**0.5)
    for i in range(2,100001):

        if flg[i]==0:
            flg[i]=1
            ans[i]=1
            for j in range(i,100001,i):
                flg[j]=1
    ans2=[]
    cnt=0
    for i in range(0,100001):
        if ans[i]==1 and ans[(i+1)//2]==1:
            cnt+=1
        ans2.append(cnt)
    # print(ans[:11])
    # print(ans2[:11])
    for i in range(0,q):
        print(ans2[b[i]]-ans2[a[i]-1])
    # print(ans[:8])
if __name__=='__main__':
    main()
Buggy python submission (verdict: Runtime Error):
n,m,k = map(int,input().split())

for i in range(n):

    if (n-2*i) != 0 and (k-m*i) % (n-2*i) == 0:
        j = (k - m * i) // (n - 2 * i)
        if w*i + (n-2*i)*j == k:
            print('Yes')
            exit()
print('No')


Fixed submission:
n,m,k = map(int,input().split())

for i in range(n):

    if (n-2*i) != 0 and (k-m*i) % (n-2*i) == 0:
        j = (k - m * i) // (n - 2 * i)
        if 0 <= j <= m:
            print('Yes')
            exit()
print('No')
Buggy python submission (verdict: Runtime Error):
import fractions

n = int(input())
t = [0] * n
for i in range(n):
    t[i] = int(input())

ans = t[0]
for i in range(1,n):
    ans = ans * a[i] // fractions.gcd(ans,a[i])
print(ans)


Fixed submission:
import fractions

n = int(input())
t = [0] * n
for i in range(n):
    t[i] = int(input())

ans = t[0]
for i in range(1,n):
    ans = ans * t[i] // fractions.gcd(ans,t[i])
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):

def main():
    n,m = map(int,input().split())
    ab = [[0] * n for i in range(n)]
    for _ in range(m):
        a,b = map(int,input().split())
        ab[a-1][b-1] = 1

    for mid in range(1,n):
        if ab[0][mid] == 1 and ab[mid][n-1] == 1:
            print('POSSIBLE')
            return
    print('IMPOSSIBLE')

if __name__ == '__main__':
    main()


Fixed submission:
n,m = map(int,input().split())
ab = [[-1] for i in range(n)]
for i in range(m):
    a, b = map(int,input().split())
    if ab[a-1][-1] == -1:
        ab[a-1][-1] = b-1
    else:
        ab[a-1].append(b-1)
flg = False
for i, mid in enumerate(ab[0]):
    if n-1 in ab[mid]:
        flg = True
        break

if flg :print('POSSIBLE')
else:print('IMPOSSIBLE')

Buggy python submission (verdict: Time Limit Exceeded):

def main():
    n,m = map(int,input().split())
    ab = [[0] * n for i in range(n)]
    for _ in range(m):
        a,b = map(int,input().split())
        ab[a-1][b-1] = 1

    for mid in range(1,n):
        if ab[0][mid] == 1 and ab[mid][n-1] == 1:
            print('POSSIBLE')
            return
    print('IMPOSSIBLE')

if __name__ == '__main__':
    main()


Fixed submission:
n,m = map(int,input().split())
ab = [[-1] for i in range(n)]
for i in range(m):
    a, b = map(int,input().split())
    if ab[a-1][-1] == -1:
        ab[a-1][-1] = b-1
    else:
        ab[a-1].append(b-1)
flg = False
for i, mid in enumerate(ab[0]):
    if n-1 in ab[mid]:
        flg = True
        break

if flg :print('POSSIBLE')
else:print('IMPOSSIBLE')

Buggy python submission (verdict: Time Limit Exceeded):

def main():
    n,m = map(int,input().split())
    ab = [[0] * n for i in range(n)]
    for _ in range(m):
        a,b = map(int,input().split())
        ab[a-1][b-1] = 1

    for mid in range(1,n):
        if ab[0][mid] == 1 and ab[mid][n-1]:
            print('POSSIBLE')
            return
    print('IMPOSSIBLE')

if __name__ == '__main__':
    main()


Fixed submission:
n,m = map(int,input().split())
ab = [[-1] for i in range(n)]
for i in range(m):
    a, b = map(int,input().split())
    if ab[a-1][-1] == -1:
        ab[a-1][-1] = b-1
    else:
        ab[a-1].append(b-1)
flg = False
for i, mid in enumerate(ab[0]):
    if n-1 in ab[mid]:
        flg = True
        break

if flg :print('POSSIBLE')
else:print('IMPOSSIBLE')
Buggy python submission (verdict: Runtime Error):
from collections import deque
n,c,k = map(int,input().split())
t = []
for _ in range(n):
    tt = int(input())
    t.append(tt)
t.sort()
ans = deque([])
cnt = 0
for i, tt in enumerate(t):
    if i == 0:
        ans.append([tt+k,1])
        cnt += 1
    else:
        flg = False
        for i in range(len(ans)):
            tmp = ans.popleft()
            if tmp[0] < tt or tmp[1] == c:

                continue
            else:
                flg = True
                break
        if flg :
            tmp[1] += 1
            if tmp[1] != c:
                a.append(tmp)
                ans.appendleft(tmp)
        else:
            tmp = [tt+k,1]
            ans.append(tmp)
            cnt += 1
print(cnt)


Fixed submission:
from collections import deque
n,c,k = map(int,input().split())
t = []
for _ in range(n):
    tt = int(input())
    t.append(tt)
t.sort()
ans = deque([])
cnt = 0
for i, tt in enumerate(t):
    if i == 0:
        ans.append([tt+k,1])
        cnt += 1
    else:
        flg = False
        for i in range(len(ans)):
            tmp = ans.popleft()
            if tmp[0] < tt or tmp[1] == c:

                continue
            else:
                flg = True
                break
        if flg :
            tmp[1] += 1
            if tmp[1] != c:
                ans.appendleft(tmp)
        else:
            tmp = [tt+k,1]
            ans.append(tmp)
            cnt += 1
print(cnt)
Buggy python submission (verdict: Runtime Error):
def main():
    n = int(input())
    s = list(input().split())

    ans = 0
    now = 0
    for i, i_d in enumerate(s):
        if i_d == 'I':
            now += 1
            ans = max(ans, now)
        else:
            now -= 1

    print(ans)
if __name__ = '__main__':
    main()


Fixed submission:
def main():
    n = int(input())
    s = list(input())

    ans = 0
    now = 0
    for i, i_d in enumerate(s):
        if i_d == 'I':
            now += 1
            ans = max(ans, now)
        else:
            now -= 1

    print(ans)
if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
def main():
    Ss = input()
    S = list(Ss)
    now = 0
    T = ''
    Sr = []
    for i in range(1,len(S)+1):
        Sr[-i] = S[i-1]

    while True:
        tmp5 = Sr[now:now+5]
        tmp6 = Sr[now:now+6]
        tmp7 = Sr[now:now+7]
        if tmp5[0] == 'e' and tmp5 == ['e','s','a','r','e']:
            T += 'erase'
            now += 5
        elif tmp5[0] == 'm' and tmp5 == ['m','a','e','r','d']:
            T += 'dream'
            now += 5
        elif tmp6[0] == 'r' and tmp6 == ['r','e','s','a','r','e']:
            T += 'eraser'
            now += 6
        elif tmp7[0] == 'r' and tmp7 == ['r','e','m','a','e','r','d']:
            T += 'dreamer'
            now += 7
        else:
            print('NO')
            return

        if now >= len(S):
            break
    if Ss == T:
        print('YES')
    else:
        print('NO')

if __name__ == '__main__':
    main()


Fixed submission:
def main():
    Ss = input()
    S = list(Ss)
    now = 0
    T = ''
    Sr = []
    for i in range(1,len(S)+1):
        Sr.append(S[-i])
    ans = []
    while True:
        tmp5 = Sr[now:now+5]
        tmp6 = Sr[now:now+6]
        tmp7 = Sr[now:now+7]
        if tmp5[0] == 'e' and tmp5 == ['e','s','a','r','e']:
            ans.append('erase')
            now += 5
        elif tmp5[0] == 'm' and tmp5 == ['m','a','e','r','d']:
            ans.append('dream')
            now += 5
        elif tmp6[0] == 'r' and tmp6 == ['r','e','s','a','r','e']:
            ans.append('eraser')
            now += 6
        elif tmp7[0] == 'r' and tmp7 == ['r','e','m','a','e','r','d']:
            ans.append('dreamer')
            now += 7
        else:
            print('NO')
            
            return

        if now >= len(S):
            break
    for i in range(1,len(ans)+1):
        T += ans[-i]
    if Ss == T:
        print('YES')
    else:
        print('NO')

if __name__ == '__main__':
    main()
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=list(map(int,input().split()))
ans=0
for i in range(N-1):
    temp=0
    for j in range(i+1,N):
        temp+=A[j]
    ans+=A[i]*(temp%(10**9+7))
print(ans%(10**9+7))


Fixed submission:
N=int(input())
A=list(map(int,input().split()))
ans=0
s=sum(A)
for i in range(N-1):
    s-=A[i]
    ans+=(A[i]*(s))%(10**9+7)
print(ans%(10**9+7))

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=list(map(int,input().split()))
ans=0
for i in range(N-1):
    for j in range(i+1,N):
        ans+=(A[i]*A[j])%(10**9+7)
ans=ans%(10**9+7)
print(ans)


Fixed submission:
N=int(input())
A=list(map(int,input().split()))
ans=0
s=sum(A)
for i in range(N-1):
    s-=A[i]
    ans+=(A[i]*(s))%(10**9+7)
print(ans%(10**9+7))

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=list(map(int,input().split()))
ans=0
for i in range(N-1):
    for j in range(i+1,N):
        ans+=A[i]*A[j]
ans=ans%(10**9+7)
print(ans)


Fixed submission:
N=int(input())
A=list(map(int,input().split()))
ans=0
s=sum(A)
for i in range(N-1):
    s-=A[i]
    ans+=(A[i]*(s))%(10**9+7)
print(ans%(10**9+7))
Buggy python submission (verdict: Runtime Error):
S=input()
ans=0
temp=0
for i in range(3):
    if S[i]=="R":
        temp+=1
    else:
        ans=temp
        temp=0
print(ans)
S=input()
ans=0
temp=0
for i in range(3):
    if S[i]=="R":
        temp+=1
    else:
        ans=temp
        temp=0
if ans<temp:
    ans=temp
print(ans)


Fixed submission:
S=input()
ans=0
temp=0
for i in range(3):
    if S[i]=="R":
        temp+=1
    else:
        if ans<temp:
            ans=temp
        temp=0
if ans<temp:
    ans=temp
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N,K=map(int,input().split())
A=list(map(int,input().split()))
li=[1]*(N-K+1)
for i in range(K-1,N):
    for j in range(K):
        li[i-K+1]*=A[i-j]
    if i!=K-1:
        if li[i-K+1]<=li[i-K]:
            print("No")
        else:
            print("Yes")

Fixed submission:
N,K=map(int,input().split())
A=list(map(int,input().split()))
for i in range(K,N):
    if A[i-K]<A[i]:
        print("Yes")
    else:
        print("No")
Buggy python submission (verdict: Runtime Error):
N=int(input())
import math

for i in range(1,N+1):
    ans=0
    for x in range(1,33):
        x2=x*x
        for y in range(1,x+1):
                    a=-(3*(x2)+3*(y*y)+2*x*y)/4+i
                    if a>0:
                        b=(math.sqrt(a)-(x+y)/2)
                        if b>0 and b%1==0.0:
                            if x==y:
                                ans+=1
                            else:
                                ans+=2

    print(ans)



Fixed submission:
L,R,D=map(int,input().split())
ans=0
for i in range(L,R+1):
    if i%D==0:
        ans+=1
    else:
        pass

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())

A=list(map(int,input().split()))

S=1

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

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


Fixed submission:
N=int(input())

A=list(map(int,input().split()))
ans=0
S=1
if 0 in A:
    print(0)
else:
    for i in range(N):
        S=S*A[i]
        if S>10**18:
            print(-1)
            ans=1
            break
    if ans==0:
        print(S)
Buggy python submission (verdict: Runtime Error):
N,K=map(int,input().split())
A=list(map(int,input().split()))
B=[1]
C=["#"]*N
for i in range(K):
    if C[B[i]-1]=="#":
        C[B[i]-1]="$"
    else:
        break
    B.append(A[B[i]-1])

f=B.index(B[i])
T=i-f
r=(K-f)%T
print(B[f+r])


Fixed submission:
N,K=map(int,input().split())
A=list(map(int,input().split()))
B=[1]
C=["#"]*N
roop=False
for i in range(K):
    if C[B[i]-1]=="#":
        C[B[i]-1]="$"
    else:
        roop=True
        break
    B.append(A[B[i]-1])
if roop==True:
    f=B.index(B[i])
    T=i-f
    if T==0:
        print(B[f])
    else:
        r=(K-f)%T
        print(B[f+r])
else:
    print(B[K])
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
ans=N
S=[input() for i in range(N)]
for i in range(N):
    a=1
    for j in range(N):
        if i>j:
            if S[i]==S[j]:
                a=0
            else:
                pass
    if a==0:
        ans=ans-1
    else:
        pass
print(ans)


Fixed submission:
N=int(input())
ans=N
S=[input() for i in range(N)]
S.sort()
for i in range(N-1):
    if S[i]==S[i+1]:
        ans=ans-1
    else:
        pass
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
K=int(input())

Ans=0
import math

for i in range(K):
    for j in range(K):
        for k in range(K):
            temp=math.gcd(i+1,j+1)
            Ans+=math.gcd(temp,k+1)

print(Ans)


Fixed submission:
K=int(input())+1

Ans=0
from math import gcd
for i in range(1,K):
    for j in range(1,K):
        tempA=gcd(i,j)
        for k in range(1,K):
            Ans+=gcd(tempA,k)
            
print(Ans)

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


Fixed submission:
K=int(input())+1

Ans=0
from math import gcd
for i in range(1,K):
    for j in range(1,K):
        tempA=gcd(i,j)
        for k in range(1,K):
            Ans+=gcd(tempA,k)
            
print(Ans)

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


Fixed submission:
K=int(input())+1

Ans=0
from math import gcd
for i in range(1,K):
    for j in range(1,K):
        tempA=gcd(i,j)
        for k in range(1,K):
            Ans+=gcd(tempA,k)
            
print(Ans)
Buggy python submission (verdict: Time Limit Exceeded):
K,N=map(int,input().split())
A=list(map(int,input().split()))
ans=0
for i in range(N):
    for j in range(N):
        C=abs(A[i]-A[j])
        D=K-C
        if C>D:
            saidai=D
        else:
            saidai=C
        if ans<saidai:
            ans=saidai
        else:
            pass
print(ans)


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

dis=A[0]+K-A[N-1]

for i in range(N-1):
    if A[i+1]-A[i]>=dis:
        dis=A[i+1]-A[i]
    else:
        pass

print(K-dis)
Buggy python submission (verdict: Runtime Error):
a,b,c=map(int,input().split())

if 4*a*b>(c-a-b)*(c-a-b)
    print("Yes")
else:
    print("No")


Fixed submission:
a,b,c=map(int,input().split())
if c<a+b:
    print("No")
    exit()

if 4*a*b<(c-a-b)*(c-a-b):
    print("Yes")
else:
    print("No")