Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
N=int(raw_input())
T=map(int,raw_input().split())
A=map(int,raw_input().split())

I,J=N-1,0
ans=1
for i in range(N):
    H=min(T[i],A[i])
    if i>0 and T[i-1]<T[i]:
        H=1
        if i+1 <N  and A[i+1]<A[i]:
            if T[i]!=A[i]:
                ans=0
                break
        if i==N-1 and T[i]!=A[i]:
            ans=0
            break
        if T[i] > A[i]
            ans=0
            break
    if i+1 <N and A[i+1] <A[i]:
        H=1
        if i==0 and T[i]!=A[i]:
            ans=0
            break
        if A[i] > T[i]
            ans=0
            break
    if i==0:
        H=1
        if T[i] > A[i]:
            ans =0
            break
    if i==N-1:
        H=1
        if A[i] > T[i]:
            ans = 0
            break
    ans *= H
    ans %= 1000000007
print ans

        



Fixed submission:
N=int(raw_input())
T=map(int,raw_input().split())
A=map(int,raw_input().split())

I,J=N-1,0
ans=1
for i in range(N):
    H=min(T[i],A[i])
    if i>0 and T[i-1]<T[i]:
        H=1
        if i+1 <N  and A[i+1]<A[i]:
            if T[i]!=A[i]:
                ans=0
                break
        if i==N-1 and T[i]!=A[i]:
            ans=0
            break
        if T[i] > A[i]:
            ans=0
            break
    if i+1 <N and A[i+1] <A[i]:
        H=1
        if i==0 and T[i]!=A[i]:
            ans=0
            break
        if A[i] > T[i]:
            ans=0
            break
    if i==0:
        H=1
        if T[i] > A[i]:
            ans =0
            break
    if i==N-1:
        H=1
        if A[i] > T[i]:
            ans = 0
            break
    ans *= H
    ans %= 1000000007
print ans
Buggy python submission (verdict: Runtime Error):
N,K=map(int,input().split())
cnt=[0]*N
for i in range(K):
    d=int(input())
    A=list(map(int(),input().split()))
    for a in A:
        cnt[a-1]=cnt[a-1]+1
ans=0
for i in range(N):
    if cnt[i]==0:
        ans=ans+1
print(ans)




Fixed submission:
N,K=map(int,input().split())
cnt=[0]*N
for i in range(K):
    d=int(input())
    A=list(map(int,input().split()))
    for a in A:
        cnt[a-1]=cnt[a-1]+1
ans=0
for i in range(N):
    if cnt[i]==0:
        ans=ans+1
print(ans)
Buggy python submission (verdict: Runtime Error):
xN=int(input())
H=[int(x) for x in input().split()]
cur=[0]*N
for i in range(N):
    if H[i]<=H[i-1]:
        cur[i]=cur[i-1]+1
print(max(cur))


Fixed submission:
N=int(input())
H=[int(x) for x in input().split()]
ans=0
cur=0
for i,h in enumerate(H):
    if i>=1 and h<=H[i-1]:
        cur=cur+1
        ans=max(ans,cur)
    else:
        cur=0
print(ans)
Buggy python submission (verdict: Runtime Error):
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

N=int(readline())
m=map(int,read().split())
UVW=zip(m,m,m)

graph =[[] for i in range(N+1)]
for u,v,w in UVW:
    graph[u].append((v,w))
    graph[v].append((u,w))
color=[0]*(N+1)

def dfs(cur,par,dist):
    color[cur]=dist
    for dst,w in graph[cur]:
        if (dst==par):
            continue
        dfs(dst,cur,dist^(w&1))
dfs(1,-1,0)
print('\n'.join(map(str,color[1:])))


Fixed submission:
import sys
sys.setrecursionlimit(10**6)
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

N=int(readline())
m=map(int,read().split())
UVW=zip(m,m,m)

graph =[[] for i in range(N+1)]
for u,v,w in UVW:
    graph[u].append((v,w))
    graph[v].append((u,w))
color=[0]*(N+1)

def dfs(cur,par,dist):
    color[cur]=dist
    for dst,w in graph[cur]:
        if (dst==par):
            continue
        dfs(dst,cur,dist^(w&1))
dfs(1,-1,0)
print('\n'.join(map(str,color[1:])))
Buggy python submission (verdict: Runtime Error):
n = int(input())
# for i in range(n):
#     print('0', end='')
# print(flush=True)
x_str = input()
x = int(x_str, base=2)
popcount = x_str.count('1')
y_zero = x % (popcount + 1)
y_one = x % (popcount - 1)
dp = [-1] * n
dp[0] = 0


def calc(y):
    if dp[y] != -1:
        return dp[y]
    dp[y] = 1 + calc(y % bin(y).count('1'))
    return dp[y]


ans = [0] * n
rem_zero = 1
rem_one = popcount - 2
for i in range(n):
    if x_str[n - 1 - i] == '0':
        ans[n - 1 - i] = 1 + calc((y_zero + rem_zero) % (popcount + 1))
    else:
        ans[n - 1 - i] = 1 + calc((y_one + rem_one) % (popcount - 1))
    rem_zero = rem_zero * 2 % (popcount + 1)
    rem_one = rem_one * 2 % (popcount - 1)
for i in range(n):
    print(ans[i])

Fixed submission:
n = int(input())
# for i in range(n):
#     print('0', end='')
# print(flush=True)
s = input()
x = int(s, base=2)
popcount = s.count('1')
y_zero = x % (popcount + 1)
if popcount > 1:
    y_one = x % (popcount - 1)
dp = [-1] * n
dp[0] = 0


def calc(y):
    if dp[y] != -1:
        return dp[y]
    dp[y] = 1 + calc(y % bin(y).count('1'))
    return dp[y]


ans = [0] * n
rem_zero = 1
if popcount > 1:
    rem_one = popcount - 2
for i in range(n):
    if s[n - 1 - i] == '0':
        ans[n - 1 - i] = 1 + calc((y_zero + rem_zero) % (popcount + 1))
    elif popcount > 1:
        ans[n - 1 - i] = 1 + calc((y_one + rem_one) % (popcount - 1))
    else:
        ans[n - 1 - i] = 0
    rem_zero = rem_zero * 2 % (popcount + 1)
    if popcount > 1:
        rem_one = rem_one * 2 % (popcount - 1)
for i in range(n):
    print(ans[i])
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
ans=0
for i in range(1,N):
    p = 0
    k = 1
    while k*k <= i:
        if i % k == 0:
            p+=1
            if k != i // k:
                p+=1
        k += 1
    ans+=p
print(ans)

Fixed submission:
N = int(input())
ans=0
for i in range(1,10**6+1):
    for j in range(1,1000001):
        if i*j>N-1:
            break
        else:
            ans+=1
print(ans)

Buggy python submission (verdict: Runtime Error):
N = int(input())
import sympy
ans=0
for i in range(1,N):
    ans+=sympy.divisor_count(i)
print(ans)

Fixed submission:
N = int(input())
ans=0
for i in range(1,10**6+1):
    for j in range(1,1000001):
        if i*j>N-1:
            break
        else:
            ans+=1
print(ans)

Buggy python submission (verdict: Runtime Error):
N = int(input())
import sympy
ans=0
for i in range(1,N):
    ans+=sympy.divisor_count(i)
print(ans)

Fixed submission:
N = int(input())
ans=0
for i in range(1,10**6+1):
    for j in range(1,1000001):
        if i*j>N-1:
            break
        else:
            ans+=1
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
def make_divisors(n):
    p = 0
    i = 1
    while i*i <= n:
        if n % i == 0:
            p+=1
            if i != n // i:
                p+=1
        i += 1
    return p
ans=0
for i in range(1,N):
    ans+=make_divisors(i)

print(ans)

Fixed submission:
N = int(input())
ans=0
for i in range(1,10**6+1):
    for j in range(1,1000001):
        if i*j>N-1:
            break
        else:
            ans+=1
print(ans)

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

ans=0
for i in range(1,N+1):
    for j in range(1,N-i+1):
        if (N-i)%j==0:
            ans+=1
print(ans)

Fixed submission:
N = int(input())
ans=0
for i in range(1,10**6+1):
    for j in range(1,1000001):
        if i*j>N-1:
            break
        else:
            ans+=1
print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = [0] * (10**4)
import math
import numpy
tmp=0
for i in range(1,int(math.sqrt(N))):
    for j in range(1,int(math.sqrt(N))):
        for k in range(1,int(math.sqrt(N))):
            tmp=(i+j+k)**2-(i*j+j*k+i*k)
            if tmp<=10**4:
                A[tmp]+=1
for p in A[1:N+1]:
    print(p)

Fixed submission:
N = int(input())
A = [0] * (10**4+1)
import math
import numpy
tmp=0
for i in range(1,int(math.sqrt(N))):
    for j in range(1,int(math.sqrt(N))):
        for k in range(1,int(math.sqrt(N))):
            tmp=(i+j+k)**2-(i*j+j*k+i*k)
            if tmp<=10**4:
                A[tmp]+=1
for p in A[1:N+1]:
    print(p)

Buggy python submission (verdict: Runtime Error):
N = int(input())
A = [0] * (10**4)
import math
import numpy
tmp=0
for i in range(1,int(math.sqrt(N))):
    for j in range(1,int(math.sqrt(N))):
        for k in range(1,int(math.sqrt(N))):
            tmp=(i+j+k)**2-(i*j+j*k+i*k)
            A[tmp]+=1
for p in A[1:N+1]:
    print(p)

Fixed submission:
N = int(input())
A = [0] * (10**4+1)
import math
import numpy
tmp=0
for i in range(1,int(math.sqrt(N))):
    for j in range(1,int(math.sqrt(N))):
        for k in range(1,int(math.sqrt(N))):
            tmp=(i+j+k)**2-(i*j+j*k+i*k)
            if tmp<=10**4:
                A[tmp]+=1
for p in A[1:N+1]:
    print(p)

Buggy python submission (verdict: Runtime Error):
N = int(input())
A = [0] * (10**4)
import math
import numpy
tmp=0
for i in range(1,int(math.sqrt(N))):
    for j in range(1,int(math.sqrt(N))):
        for k in range(1,int(math.sqrt(N))):
            tmp=(i+j+k)**2-(i*j+j*k+i*k)
            A[tmp]+=1
for p in A[1:N+1]:
    print(p)

Fixed submission:
N = int(input())
A = [0] * (10**4+1)
import math
import numpy
tmp=0
for i in range(1,int(math.sqrt(N))):
    for j in range(1,int(math.sqrt(N))):
        for k in range(1,int(math.sqrt(N))):
            tmp=(i+j+k)**2-(i*j+j*k+i*k)
            if tmp<=10**4:
                A[tmp]+=1
for p in A[1:N+1]:
    print(p)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))

sums=1
for i in A:
    sums=sums*i
if sums>1000000000000000000:
    print(-1)
else:
    print(sums)

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

sums=1
for i in A:
    sums=sums*i
    if sums>1000000000000000000:
        sums=-1
        break
    
if 0 in A:
    print(0)
else:
    print(sums)
Buggy python submission (verdict: Runtime Error):
N = int(input())
M = str(input())

if len(N)>7:
    print(M[0:7]+'...')
else:
    print(M)

Fixed submission:
N = int(input())
M = str(input())

if len(M)>N:
    print(M[0:N]+'...')
else:
    print(M)

Buggy python submission (verdict: Runtime Error):
N = int(input())
M = str(input())

if len(N)>7:
    print(M[0:7]+'...')

Fixed submission:
N = int(input())
M = str(input())

if len(M)>N:
    print(M[0:N]+'...')
else:
    print(M)
Buggy python submission (verdict: Runtime Error):
S=str(input())
B=str(input())
if S[:-1:]==B[]:
    print('Yes')
else:
    print('No')

Fixed submission:
S=str(input())
B=str(input())
if B[:-1:]==S:
    print('Yes')
else:
    print('No')
Buggy python submission (verdict: Runtime Error):
#c 
N, M = map(int, input().split())
H = list(map(int, input().split()))
A = [0] * M
B = [0] * M
for i in range(M):
    A[i], B[i] = map(int, input().split())
a=[1]*N
for x in range(M):
    if H[A[x]-1]>H[B[x]-1]:
        a[A[x]-1]*=1
        a[B[x]-1]*=0
    elifH[A[x]-1]==H[B[x]-1]:
        a[A[x]-1]*=0
        a[B[x]-1]*=0
    else:
        a[A[x]-1]*=0
        a[B[x]-1]*=1
sum=0
for y in a:
    sum+=y
print(sum)

Fixed submission:
#c 
N, M = map(int, input().split())
H = list(map(int, input().split()))
A = [0] * M
B = [0] * M
for i in range(M):
    A[i], B[i] = map(int, input().split())
a=[1]*N
for x in range(M):
    if H[A[x]-1]>H[B[x]-1]:
        a[A[x]-1]*=1
        a[B[x]-1]*=0
    elif H[A[x]-1]==H[B[x]-1]:
        a[A[x]-1]*=0
        a[B[x]-1]*=0
    else:
        a[A[x]-1]*=0
        a[B[x]-1]*=1
sum=0
for y in a:
    sum+=y
print(sum)
Buggy python submission (verdict: Time Limit Exceeded):
#d
A,B,N=map(int,input().split())
b=[]
for i in range(1,(N//B)+1):
    b.append(i*B-1)
b.append(N)
a=0
for x in b:
    p=(A*x)//B-A*(x//B)
    if p>a:
        a=p
print(a)

Fixed submission:
#d
A,B,N=map(int,input().split())
b=[]
if N>=B:
    b.append((N//B)*B-1)
b.append(N)
a=0
for x in b:
    p=(A*x)//B-A*(x//B)
    if p>a:
        a=p
print(a)

Buggy python submission (verdict: Time Limit Exceeded):
#d
A,B,N=map(int,input().split())
a=0
for i in range(1,N+1):
    p=(A*i)//B-A*(i//B)
    if p>a:
        a=p
print(a)

Fixed submission:
#d
A,B,N=map(int,input().split())
b=[]
if N>=B:
    b.append((N//B)*B-1)
b.append(N)
a=0
for x in b:
    p=(A*x)//B-A*(x//B)
    if p>a:
        a=p
print(a)
Buggy python submission (verdict: Time Limit Exceeded):
#C
M = int(input())
A = list(map(int, input().split())) 
ans = [0] * M

for i in range(1,M+1):
    ans[i-1]=A.count(i)
    if sum(ans)>=M:
        break
    
for a in ans:
    print(a)

Fixed submission:
#C
M = int(input())
A = list(map(int, input().split())) 
ans = [0] * M

for i in range(M-1):
    ans[int(A[i])-1]+=1
    
for a in ans:
    print(a)

Buggy python submission (verdict: Time Limit Exceeded):
#C
M = int(input())
A = list(map(int, input().split())) 
ans = [0] * M

for i in range(1,M+1):
    ans[i-1]=A.count(i)
    
for a in ans:
    print(a)

Fixed submission:
#C
M = int(input())
A = list(map(int, input().split())) 
ans = [0] * M

for i in range(M-1):
    ans[int(A[i])-1]+=1
    
for a in ans:
    print(a)

Buggy python submission (verdict: Time Limit Exceeded):
#C
M = int(input())
A = list(map(int, input().split())) 
ans = [0] * M

for i in range(1,M+1):
    ans[i-1]=A.count(i)
    
for a in ans:
    print(a)

Fixed submission:
#C
M = int(input())
A = list(map(int, input().split())) 
ans = [0] * M

for i in range(M-1):
    ans[int(A[i])-1]+=1
    
for a in ans:
    print(a)

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

for i in range(1,M+1):
    print(A.count(i))

Fixed submission:
#C
M = int(input())
A = list(map(int, input().split())) 
ans = [0] * M

for i in range(M-1):
    ans[int(A[i])-1]+=1
    
for a in ans:
    print(a)

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

for i in range(1,M+1):
    print(A.count(i))

Fixed submission:
#C
M = int(input())
A = list(map(int, input().split())) 
ans = [0] * M

for i in range(M-1):
    ans[int(A[i])-1]+=1
    
for a in ans:
    print(a)
Buggy python submission (verdict: Time Limit Exceeded):
import math
N = int(input())
f=0
for a in range(1, N+1):
    for b in range(1, N+1):
        for c in range(1, N+1):
            d=math.gcd(a, b)
            e=math.gcd(d, c)
            f+=e
print(f)

Fixed submission:
import math
N = int(input())
f = 0
for a in range(1, N+1):
    for b in range(1, N+1):
        for c in range(1, N+1):
            if b<a or c<a or b>c:
                continue
            elif a==b and b==c:
                d=math.gcd(a, b)
                e=math.gcd(d, c)
                f+=e
                continue
            elif a==b and b!=c:
                d=math.gcd(a, b)
                e=math.gcd(d, c)
                f+=e*3
                continue
            elif b==c and b!=a:
                d=math.gcd(a, b)
                e=math.gcd(d, c)
                f+=e*3
                continue   
            elif a==c and b!=c:
                d=math.gcd(a, b)
                e=math.gcd(d, c)
                f+=e*3
                continue
            else:
                d=math.gcd(a, b)
                e=math.gcd(d, c)
                f+=e*6
                continue
print(f)
Buggy python submission (verdict: Time Limit Exceeded):
import math
N = int(input())
S = str(input())
r=0
g=0
b=0
error=0
n=0

if N%2==0:
    n=(N//2)-1
else:
    n=N//2

for i in range(N):
    if S[i]=='R':
        r+=1
    if S[i]=='G':
        g+=1
    if S[i]=='B':
        b+=1

for p in range(n+1):
    for i in range(N-(p*2)):
        if S[i]=='R' and S[i+p]=='G' and S[i+2*p]=='B':
            error+=1
        if S[i]=='R' and S[i+p]=='B' and S[i+2*p]=='G':
            error+=1
        if S[i]=='B' and S[i+p]=='R' and S[i+2*p]=='G':
            error+=1
        if S[i]=='B' and S[i+p]=='G' and S[i+2*p]=='R':
            error+=1
        if S[i]=='G' and S[i+p]=='R' and S[i+2*p]=='B':
            error+=1
        if S[i]=='G' and S[i+p]=='B' and S[i+2*p]=='R':
            error+=1
d=r*g*b

print(d-error)

Fixed submission:
import math
N = int(input())
S = str(input())
r=0
g=0
b=0
error=0
n=0

if N%2==0:
    n=(N//2)-1
else:
    n=N//2

for i in range(N):
    if S[i]=='R':
        r+=1
    if S[i]=='G':
        g+=1
    if S[i]=='B':
        b+=1

for p in range(n+1):
    for i in range(N-(p*2)):
        if S[i]==S[i+p] or S[i+p]==S[i+2*p] or S[i]==S[i+2*p]:
            continue
        else:
            error+=1
d=r*g*b

print(d-error)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
S = str(input())
a=0
for i in range(N):
    for j in range(N):
        for k in range(N):
            if S[i]==S[j]:
                continue
            if S[j]==S[k]:
                continue
            if S[k]==S[i]:
                continue
            if k+i==2*j:
                continue
            if i<=j and j<=k: 
                a+=1
print(a)

Fixed submission:
import math
N = int(input())
S = str(input())
r=0
g=0
b=0
error=0
n=0

if N%2==0:
    n=(N//2)-1
else:
    n=N//2

for i in range(N):
    if S[i]=='R':
        r+=1
    if S[i]=='G':
        g+=1
    if S[i]=='B':
        b+=1

for p in range(n+1):
    for i in range(N-(p*2)):
        if S[i]==S[i+p] or S[i+p]==S[i+2*p] or S[i]==S[i+2*p]:
            continue
        else:
            error+=1
d=r*g*b

print(d-error)
Buggy python submission (verdict: Runtime Error):
N,M = map(int, input().split())
def abc(n, m):
    if n<=abs(n-m):
        return n
    else:
        return abc(abs(n-m), m)
p=abc(N,M)
print(p)

Fixed submission:
N,M = map(int, input().split())
if N>=N%M:
    if N%M>=M-N%M:
        ans=M-N%M
    else:
        ans=N%M
else:
    ans=N
print(ans)

Buggy python submission (verdict: Runtime Error):
N,M = map(int, input().split())
def abc(n, m):
    if n<=abs(n-m):
        return n
    else:
        return abc(abs(n-m), m)
    p=abc(N,M)
print(p)

Fixed submission:
N,M = map(int, input().split())
if N>=N%M:
    if N%M>=M-N%M:
        ans=M-N%M
    else:
        ans=N%M
else:
    ans=N
print(ans)

Buggy python submission (verdict: Runtime Error):
N,M = map(int, input().split())
def abc(n, m):
    if n<=abs(n-m):
        return n
    else:
        return abc(abs(n-m), m)
print(abc(N,M))

Fixed submission:
N,M = map(int, input().split())
if N>=N%M:
    if N%M>=M-N%M:
        ans=M-N%M
    else:
        ans=N%M
else:
    ans=N
print(ans)

Buggy python submission (verdict: Runtime Error):
N,M = map(int, input().split())
def abc(n, m):
    if n<=abs(n-m):
        return n
    else:
        return abc(abs(n-m), m)
print(abc(N,M))

Fixed submission:
N,M = map(int, input().split())
if N>=N%M:
    if N%M>=M-N%M:
        ans=M-N%M
    else:
        ans=N%M
else:
    ans=N
print(ans)
Buggy python submission (verdict: Runtime Error):
N,M=map(int,input().split())

from scipy.special import comb
# a = comb(n, r)
a = comb(N+M, 2, exact=True)-N*M
print(a)

Fixed submission:
N,M=map(int,input().split())
nCr = {}
def cmb(n, r):
    if r == 0 or r == n: return 1
    if r == 1: return n
    if (n,r) in nCr: return nCr[(n,r)]
    nCr[(n,r)] = cmb(n-1,r) + cmb(n-1,r-1)
    return nCr[(n,r)]

a = cmb(N+M,2)-N*M
print(a)

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

from scipy.special import comb
# a = comb(n, r)
a = comb(N+M, 2, exact=True)
print(a-N*M)

Fixed submission:
N,M=map(int,input().split())
nCr = {}
def cmb(n, r):
    if r == 0 or r == n: return 1
    if r == 1: return n
    if (n,r) in nCr: return nCr[(n,r)]
    nCr[(n,r)] = cmb(n-1,r) + cmb(n-1,r-1)
    return nCr[(n,r)]

a = cmb(N+M,2)-N*M
print(a)
Buggy python submission (verdict: Runtime Error):
s=input()
if s=='hi':
    print(Yes)
elif s=='hihi':
    print(Yes)
elif s=='hihihi':
    print(Yes)
elif s=='hihihihi':
    print(Yes)
elif s=='hihihihihi':
    print(Yes)
else:
    print(No)

Fixed submission:
s=input()
if s=='hi':
    print('Yes')
elif s=='hihi':
    print('Yes')
elif s=='hihihi':
    print('Yes')
elif s=='hihihihi':
    print('Yes')
elif s=='hihihihihi':
    print('Yes')
else:
    print('No')
Buggy python submission (verdict: Runtime Error):
A1_1,A1_2,A1_3 = map(int, input().split())
A2_1,A2_2,A2_3 = map(int, input().split())
A3_1,A3_2,A3_3 = map(int, input().split())
N =int(input())
B = []
for _ in range(N+3):
    B.append(input())

a=str('yes')
b=str('no')
if A1_1 in B and A1_2 in B and A1_3 in B:
     print(a)
elif A2_1 in B and A2_2 in B and A2_3 in B:
    print(a)
elif A3_1 in B and A3_2 in B and A3_3 in B:
     print(a)
elif A1_1 in B and A2_1 in B and A3_1 in B:
    print(a)
elif A1_2 in B and A2_2 in B and A3_2 in B:
    print(a)
elif A1_3 in B and A2_3 in B and A3_3 in B:
    print(a)
elif A1_1 in B and A2_2 in B and A3_3 in B:
     print(a)
elif A1_3 in B and A2_2 in B and A3_1 in B:
    print(a)
else:
    print(b)

Fixed submission:
import math
N = input()
n = int(N)
print(math.ceil(n/2))

Buggy python submission (verdict: Runtime Error):
import math
def myfunc(N):
    math.floor(N/2)
    
myfunc(N)

Fixed submission:
import math
N = input()
n = int(N)
print(math.ceil(n/2))
Buggy python submission (verdict: Time Limit Exceeded):
M=1000000007
N=int(input())
C=sorted(map(int,input().split()),reverse=True)
def pow(x,p):
  if(p==0):
    return 1;
  if(p%2):
    a=pow(x,p-1)%M;
    return x*a%M
  else:
    a=pow(x,p//2)%M
    return a*a%M
ans=0;
for k in range(N):
  ans=(ans+(C[k]*((pow(2,2*N-2)*k)%M+pow(2,2*N-1)))%M)%M
print(ans)

Fixed submission:
M=1000000007
N=int(input())
C=sorted(map(int,input().split()),reverse=True)
def pow(x,p):
  if(p==0):
    return 1;
  if(p%2):
    a=pow(x,p-1)%M;
    return x*a%M
  else:
    a=pow(x,p//2)%M
    return a*a%M
ans=0;
p2=pow(2,2*N-2)%M
for k in range(N):
  ans=(ans+(C[k]*((p2*k)%M+2*p2))%M)%M
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=[int(c) for c in input().split()]
D=[0 for i in range(60)];
for a in A:
  for i in range(60):
    D[i]+=a%2
    a//=2
t=1
ans=0
for i in range(60):
  ans+=D[i]*(N-D[i])*t
  t*=2
print(ans%1000000007)

Fixed submission:
N=int(input())
A=[int(c) for c in input().split()]
D=[0 for i in range(60)];
for a in A:
  for i in range(60):
    D[i]+=a%2
    a//=2
t=1
ans=0
for i in range(60):
  ans+=D[i]*(N-D[i])*t
  t*=2
print(ans%1000000007)
Buggy python submission (verdict: Runtime Error):
=int(input())
print(((N+1)//2)/N)



Fixed submission:
N=int(input())
print(((N+1)//2)/N)
Buggy python submission (verdict: Runtime Error):



N,K=[int(c) for c in input().split()]

import math



prob=max(N-K,0)
for M in range(1,min(N+1,K+1)):
	prob+=1/(2**math.ceil(math.log2(K/M)))
prob/=N
print(prob)


Fixed submission:



N,K=[int(c) for c in input().split()]

import math



prob=max(N-K,0)
for M in range(1,min(N+1,K+1)):
	prob+=1/(2**math.ceil(math.log2(K/M)))
prob/=N
print(prob)