Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
def main():
    n,m=map(int,input().split())
    ab=[list(map(int,input().split())) for _ in [0]*m]
    g=[[] for _ in [0]*n]
    [g[a-1].append(b-1) for a,b in ab]
    [g[b-1].append(a-1) for a,b in ab]
    ans=[None]*n
    ans[0]=0
    temp=[0]
    while temp:
        i=temp.pop()
        for j in g[i]:
            if ans[j]==None:
                ans[j]=ans[i]^True
                temp.append(j)
            else:
                if ans[i]^ans[j]==0:
                    #print(n*(n-1)//2-m)
                    print(1/0)
                    return 0
    print((ans.count(0)*(ans.count(0)-1)//2)*(ans.count(1)*(ans.count(1)-1)//2)-m)
main()

Fixed submission:
def main():
    n,m=map(int,input().split())
    ab=[list(map(int,input().split())) for _ in [0]*m]
    g=[[] for _ in [0]*n]
    [g[a-1].append(b-1) for a,b in ab]
    [g[b-1].append(a-1) for a,b in ab]
    ans=[None]*n
    ans[0]=0
    temp=[0]
    while temp:
        i=temp.pop()
        for j in g[i]:
            if ans[j]==None:
                ans[j]=ans[i]^True
                temp.append(j)
            else:
                if ans[i]^ans[j]==0:
                    print(n*(n-1)//2-m)
                    return 0
    print(ans.count(0)*ans.count(1)-m)
main()
Buggy python submission (verdict: Runtime Error):
n=int(input())
def abc(N,a,b,c):
    return 4*a*b*c-N*(a*b+b*c+c*a)
for i in range(1,3501):
    flag=0
    if (1/i)>=(4/n):
        continue
    for j in range(i,3501):
        k=int((n*i*j)/(4*i*j-n*i-n*j))
        if k>0:
            if abc(n,i,j,k)==0:
                print(i,j,k)
                flag=1
                break
    if flag>0:
        break

Fixed submission:
n=int(input())
def abc(N,a,b,c):
    return 4*a*b*c-N*(a*b+b*c+c*a)
for i in range(1,3501):
    flag=0
    if (1/i)>=(4/n):
        continue
    for j in range(i,3501):
        if 4*i*j-n*i-n*j>0:
            k=int((n*i*j)/(4*i*j-n*i-n*j))
            if k>0:
                if abc(n,i,j,k)==0:
                    print(i,j,k)
                    flag=1
                    break
    if flag>0:
        break
Buggy python submission (verdict: Runtime Error):
N,A = [input() for _ in range(2)]
print(N**2 - A)

Fixed submission:
N,A = [int(input()) for _ in range(2)]
print(N**2 - A)
Buggy python submission (verdict: Runtime Error):
def main():
    import numpy as np
    import scipy.sparse.csgraph as sp
    n=int(input())
    p=np.array([np.array(list(map(int,input().split()))) for _ in [0]*n])
    ans=0
    d=np.full((n,n),0)
    for i in range(n):
        for j in range(i+1,n):
            b=p[i][j]
            if b!=np.sort(p[i]+p[j])[2]:
                d[i][j],d[j][i]=b,b
                ans+=b
    s=sp.shortest_path(d)
    if (s==p).all():
        print(ans)
    else:
        print(-1)
main()

Fixed submission:
def main():
    n=int(input())
    if n==1:
        print(0)
        return 0
    import numpy as np
    p=np.array([np.array(list(map(int,input().split()))) for _ in [0]*n])
    if n==2:
        print(p[0][1])
        return 0
    import scipy.sparse.csgraph as sp
    ans=0
    d=np.full((n,n),0)
    for i in range(n):
        for j in range(i+1,n):
            b=p[i][j]
            if b!=np.sort(p[i]+p[j])[2]:
                d[i][j],d[j][i]=b,b
                ans+=b
    s=sp.shortest_path(d)
    if (s==p).all():
        print(ans)
    else:
        print(-1)
main()

Buggy python submission (verdict: Time Limit Exceeded):
def main():
    import numpy as np
    import scipy.sparse.csgraph as sp
    n=int(input())
    p=np.array([np.array(list(map(int,input().split()))) for _ in [0]*n])
    abc=[]
    ans=0
    for i in range(n):
        for j in range(i+1,n):
            b=p[i][j]
            for k in range(n):
                if i==k or j==k:
                    continue
                if b==p[i][k]+p[k][j]:
                    break
            else:
                abc.append([i,j,b])
                abc.append([j,i,b])
                ans+=b
    inf=float('inf')
    d=np.full((n,n),inf)
    for i in range(n):d[i][i]=0
    for a,b,c in abc:
        d[a][b]=c
        d[b][a]=c
    s=sp.shortest_path(d)
    if (s==p).all():
        print(ans)
    else:
        print(-1)
main()

Fixed submission:
def main():
    n=int(input())
    if n==1:
        print(0)
        return 0
    import numpy as np
    p=np.array([np.array(list(map(int,input().split()))) for _ in [0]*n])
    if n==2:
        print(p[0][1])
        return 0
    import scipy.sparse.csgraph as sp
    ans=0
    d=np.full((n,n),0)
    for i in range(n):
        for j in range(i+1,n):
            b=p[i][j]
            if b!=np.sort(p[i]+p[j])[2]:
                d[i][j],d[j][i]=b,b
                ans+=b
    s=sp.shortest_path(d)
    if (s==p).all():
        print(ans)
    else:
        print(-1)
main()
Buggy python submission (verdict: Time Limit Exceeded):
def main():
    from sys import stdin
    input=stdin.readline
    n, m, r = map(int, input().split())
    root = list(map(int, input().split()))
    abc = [list(map(int, input().split())) for _ in [0]*m]
    inf = 10**10
    dist = [[inf for _ in [0]*n] for _ in [0]*n]
    for i in range(n):
        dist[i][i] = 0
    for a, b, c in abc:
        dist[a-1][b-1] = c
        dist[b-1][a-1] = c
    for k in range(n):
        for i in range(n):
            for j in range(n):
                dist[i][j] = min(dist[i][j], (dist[i][k]+dist[k][j]))

    from itertools import permutations

    p = list(permutations(root))

    D = 10**10
    for i in p:
        d = 0
        for j in range(len(i)-1):
            d += dist[i[j]-1][i[j+1]-1]
        D = min(D, d)
    print(D)


main()

Fixed submission:
n,m,r=map(int,input().split())
root=list(map(int,input().split()))
abc=[list(map(int,input().split())) for _ in [0]*m]
inf=10**10
dist=[[inf for _ in [0]*n] for _ in [0]*n]
for i in range(n):dist[i][i]=0
for a,b,c in abc:
    dist[a-1][b-1]=c
    dist[b-1][a-1]=c
for k in range(n):
    for i in range(n):
        for j in range(n):dist[i][j]=min(dist[i][j],(dist[i][k]+dist[k][j]))

from itertools import permutations

p=list(permutations(root))

D=10**10
for i in p:
    d=0
    for j in range(len(i)-1):
        d+=dist[i[j]-1][i[j+1]-1]
    D=min(D,d)
print(D)

Buggy python submission (verdict: Time Limit Exceeded):
n,m,r=map(int,input().split())
root=list(map(int,input().split()))
abc=[list(map(int,input().split())) for _ in [0]*m]
inf=10**10
dist=[[inf for _ in [0]*n] for _ in [0]*n]
for i in range(n):dist[i][i]=0
for a,b,c in abc:
    dist[a-1][b-1]=c
    dist[b-1][a-1]=c
for k in range(n):
    for i in range(n):
        for j in range(n):dist[i][j]=min(dist[i][j],(dist[i][k]+dist[k][j]))

from itertools import permutations

p=list(permutations(root))

D=10**10
for i in p:
    d=0
    for j in range(len(i)-1):
        d+=dist[i[j]-1][i[j+1]-1]
    D=min(D,d)
print(D)

Fixed submission:
n,m,r=map(int,input().split())
root=list(map(int,input().split()))
abc=[list(map(int,input().split())) for _ in [0]*m]
inf=10**10
dist=[[inf for _ in [0]*n] for _ in [0]*n]
for i in range(n):dist[i][i]=0
for a,b,c in abc:
    dist[a-1][b-1]=c
    dist[b-1][a-1]=c
for k in range(n):
    for i in range(n):
        for j in range(n):dist[i][j]=min(dist[i][j],(dist[i][k]+dist[k][j]))

from itertools import permutations

p=list(permutations(root))

D=10**10
for i in p:
    d=0
    for j in range(len(i)-1):
        d+=dist[i[j]-1][i[j+1]-1]
    D=min(D,d)
print(D)
Buggy python submission (verdict: Runtime Error):
print(["No","Yes"][input()[0]==input()[2]])

Fixed submission:
a=input();print(["No","Yes"][a[0]==a[2]])
Buggy python submission (verdict: Runtime Error):
from fractions import gcd
N=int(input())
T=[int(input()) for _ in range(N)]
for t in T:
    a=gcd(a,t)
ans=a
for t in T:
    ans*=t//a
print(ans)

Fixed submission:
from fractions import gcd
N=int(input())
T=[int(input()) for _ in range(N)]
a=0
ans=T[0]
for t in T:
    a=gcd(a,t)
    ans*=t//a
    a=ans
print(ans)
Buggy python submission (verdict: Runtime Error):
print((int(input())-1)*(int(input())-1))

Fixed submission:
m,n=map(int,input().split());print((m-1)*(n-1))
Buggy python submission (verdict: Runtime Error):
A,B=map(int,input().split());print(("Possible","Impossible")[min([A%3,B%3,(A+B)%3])]

Fixed submission:
A,B=map(int,input().split());print(("Possible","Impossible")[min([A%3,B%3,(A+B)%3])])
Buggy python submission (verdict: Time Limit Exceeded):
def main():
    n, m = map(int, input().split())
    a = list(map(lambda x: int(x)-1, input().split()))
    event = [[] for _ in [0]*m]
    for j, i in enumerate(a):
        if j < n-1:
            A = m-a[j+1]
            if A < m:
                event[A].append((True, j))
        B = m-i
        if B < m:
            event[B].append((False, j))
    leader = 1
    now = a[-1]
    for i in range(n-1):
        if a[i] > a[i+1]:
            leader += 1
            now += a[i]
    s = a[0]
    ans = 10**20
    for i in range(m):
        b = list(map(lambda x: (x+i) % m, a))
        for e, j in event[i]:
            if e:
                leader += 1
                now += ((a[j]+i) % m)
            else:
                now -= m
                if j != n-1:
                    leader -= 1
        now += leader
        ans = min(ans, now-1-(s+i) % m)
    print(ans)


main()


Fixed submission:
def main():
    n, m = map(int, input().split())
    a = list(map(lambda x: int(x)-1, input().split()))
    event = [[] for _ in [0]*m]
    for j, i in enumerate(a):
        if j < n-1:
            A = m-a[j+1]
            if A < m:
                event[A].append((True, j))
        B = m-i
        if B < m:
            event[B].append((False, j))
    leader = 1
    now = a[-1]
    for i in range(n-1):
        if a[i] > a[i+1]:
            leader += 1
            now += a[i]
    s = a[0]
    ans = 10**20
    for i in range(m):
        for e, j in event[i]:
            if e:
                leader += 1
                now += ((a[j]+i) % m)
            else:
                now -= m
                if j != n-1:
                    leader -= 1
        now += leader
        ans = min(ans, now-1-(s+i) % m)
    print(ans)


main()
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=[int(input())-1 for _ in range(N)]
B=[]
i=0
while(1):
    if i not in B:
        B.append(i)
        i=A[i]
        if i==1:
            print(len(B))
            break
    else:
        print(-1)
        break

Fixed submission:
N=int(input())
a=[int(input()) for _ in range(N)]
flag=0
b=1
for i in range(N):
    b=a[b-1]
    if b==2:
        print(i+1)
        flag=1
        break
if flag==0:
    print(-1)
Buggy python submission (verdict: Runtime Error):
def main():
    n, m = map(int, input().split())
    ab = [sorted(list(map(int, input().split()))) for _ in [0] * n]
    l = [0] * (n - 1)
    for i in range(m):
        a, b = ab[i]
        if a != 1:
            l[a-2]+=1
        l[b - 2] += 1
    l=[i%2 for i in l]
    if sum(l) > 0:
        print("NO")
    else:
        print("YES")
main()

Fixed submission:
def main():
    n, m = map(int, input().split())
    ab = [sorted(list(map(int, input().split()))) for _ in [0] * m]
    l = [0] * (n - 1)
    for i in range(m):
        a, b = ab[i]
        if a != 1:
            l[a-2]+=1
        l[b - 2] += 1
    l=[i%2 for i in l]
    if sum(l) > 0:
        print("NO")
    else:
        print("YES")
main()
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
n=int(input())
a=list(map(int,input().split()))
r=[0]
for i in range(n):
    r.append(r[i]+a[i])
r.pop(0)
q=[r[i] for i in range(n)]

pm=[1-2*(i%2) for i in range(n)]
mp=[1-2*((i+1)%2) for i in range(n)]

sum1,sum2=0,0
sousa1,sousa2=0,0

for i in range(n):
    if np.sign(r[i]) != pm[i]:
        sum1+=abs(pm[i]-r[i])
        sousa1=pm[i]-r[i]
        for j in range(n-i-1):
            r[i+j+1]=r[i+j+1]+sousa1
        
for i in range(n):
    if np.sign(q[i]) != mp[i]:
        sum2+=abs(mp[i]-q[i])
        sousa2=mp[i]-q[i]
        for j in range(n-i-1):
            q[i+j+1]=q[i+j+1]+sousa2
        
print(min(sum1,sum2))

Fixed submission:
import numpy as np
n=int(input())
a=list(map(int,input().split()))
r=[0]
for i in range(n):
    r.append(r[i]+a[i])
r.pop(0)
q=[r[i] for i in range(n)]

pm=[1-2*(i%2) for i in range(n)]
mp=[1-2*((i+1)%2) for i in range(n)]

sum1,sum2=0,0
sousa1,sousa2=0,0

for i in range(n):
    if np.sign(r[i]+sousa1) != pm[i]:
        sum1+=abs(pm[i]-r[i]-sousa1)
        sousa1=pm[i]-r[i]
        
for i in range(n):
    if np.sign(q[i]+sousa2) != mp[i]:
        sum2+=abs(mp[i]-q[i]-sousa2)
        sousa2=mp[i]-q[i]

print(min(sum1,sum2))
Buggy python submission (verdict: Runtime Error):
from statistics import mean
from collections import Counter
n,a,b=map(int,input().split())
v=sorted(list(map(int,input().split())),reverse=True)
avg=mean(v[:a])
print(avg)

p=Counter(v[:a])[v[a]]
q=Counter(v)[v[a]]

def n_func(n):
    ans=1
    for i in range(1,n+1):ans=(ans*i)
    return ans

def nCr(n,r):
    return (n_func(n)//n_func(r))//n_func(n-r)

if v[0]==v[a]:
    print(sum([nCr(b,a+i) for i in range(0,b-a+1)]))
else:
    print(nCr(q,p))

Fixed submission:
from statistics import mean
from collections import Counter
n,a,b=map(int,input().split())
v=sorted(list(map(int,input().split())),reverse=True)
avg=mean(v[:a])
print(avg)

p=Counter(v[:a])[v[a-1]]
q=Counter(v)[v[a-1]]

def n_func(n):
    ans=1
    for i in range(1,n+1):ans=(ans*i)
    return ans

def nCr(n,r):
    return (n_func(n)//n_func(r))//n_func(n-r)

if v[0]==v[a-1]:
    print(sum([nCr(q,a+i) for i in range(0,min(b,q)-a+1)]))
else:
    print(nCr(q,p))
Buggy python submission (verdict: Time Limit Exceeded):
def main():
    import numpy as np
    n, k = map(int, input().split())
    a = list(map(int, input().split()))
    mod = 10**9+7
    dp = np.zeros(k, dtype=np.int32)
    dp[0] = 1
    for i in range(n):
        aa = a[i]
        if aa >= k:
            continue
        dp[aa:] = (dp[aa:]+dp[:k-aa]) % mod
    b = [1]*n
    for i in range(n):
        if a[i] >= k:
            b[i] = 0
            continue
        aa = a[i]
        dp2 = np.zeros(k, dtype=np.int32)
        dp2[:aa] = dp[:aa]
        for j in range(aa, k):
            dp2[j] = (dp[j]-dp2[j-aa]) % mod
        if sum(dp2[k-aa:]) != 0:
            b[i] = 0
    print(sum(b))


main()

Fixed submission:
def main():
    n, k = map(int, input().split())
    a = list(map(int, input().split()))
    mod = 10**9+7
    dp = [0]*k
    dp[0] = 1
    for i in range(n):
        aa = a[i]
        if aa >= k:
            continue
        for j in range(k-aa-1, -1, -1):
            dp[aa+j] = (dp[aa+j]+dp[j]) % mod
    b = [1]*n
    for i in range(n):
        if a[i] >= k:
            b[i] = 0
            continue
        aa = a[i]
        dp2 = [0]*k
        for j in range(aa):
            dp2[j] = dp[j]
        for j in range(aa, k):
            dp2[j] = (dp[j]-dp2[j-aa]) % mod
        for j in range(k-aa, k):
            if dp2[j] != 0:
                b[i] = 0
                break
    print(sum(b))


main()

Buggy python submission (verdict: Time Limit Exceeded):
def main():
    n, k = map(int, input().split())
    a = list(map(int, input().split()))
    mod = 10**9+7
    dp = [0]*k
    dp[0] = 1
    for i in range(n):
        aa = a[i]
        if aa >= k:
            continue
        for j in range(k-aa-1, -1, -1):
            dp[aa+j] = (dp[aa+j]+dp[j]) % mod
    b = [1]*n
    for i in range(n):
        if a[i] >= k:
            b[i] = 0
            continue
        aa = a[i]
        dp2 = [0]*k
        for j in range(aa):
            dp2[j] = dp[j]
        for j in range(aa, k):
            dp2[j] = (dp[j]-dp2[j-aa]) % mod
        for j in range(k-aa, k):
            if dp2[j] != 0:
                b[i] = 0
                break
    print(sum(b))


main()

Fixed submission:
def main():
    n, k = map(int, input().split())
    a = list(map(int, input().split()))
    mod = 10**9+7
    dp = [0]*k
    dp[0] = 1
    for i in range(n):
        aa = a[i]
        if aa >= k:
            continue
        for j in range(k-aa-1, -1, -1):
            dp[aa+j] = (dp[aa+j]+dp[j]) % mod
    b = [1]*n
    for i in range(n):
        if a[i] >= k:
            b[i] = 0
            continue
        aa = a[i]
        dp2 = [0]*k
        for j in range(aa):
            dp2[j] = dp[j]
        for j in range(aa, k):
            dp2[j] = (dp[j]-dp2[j-aa]) % mod
        for j in range(k-aa, k):
            if dp2[j] != 0:
                b[i] = 0
                break
    print(sum(b))


main()
Buggy python submission (verdict: Runtime Error):
N,C,K=map(int,input().split())
T=[int(input()) for _ in range(N)]
flag=0
bus_cnt=0
First=T[i]
bus_rider=1
bus_cnt=1
for i in range(N):
    if bus_rider<C and T[i]-First<=K:
        bus_rider+=1
    else:
        First=T[i]
        bus_rider=1
        bus_cnt+=1
print(bus_cnt)

Fixed submission:
N,C,K=map(int,input().split())
T=sorted([int(input()) for _ in range(N)])
First=T[0]
bus_rider=1
bus_cnt=1
for i in range(1,N):
    if bus_rider<C and T[i]-First<=K:
        bus_rider+=1
    else:
        First=T[i]
        bus_rider=1
        bus_cnt+=1
print(bus_cnt)
Buggy python submission (verdict: Runtime Error):
N,M=map(int,input().split())
inp=[list(map(int,input().split())) for _ in range(N)]
g=[[] for _ in range(N)]
[g[a-1].append(b-1) for a,b in inp]
[g[b-1].append(a-1) for a,b in inp]
 
from itertools import permutations
seq=[i for i in range(N)]
test=list(permutations(seq))
cnt=0
for t in test:
    if t[0]==0:
        for i in range(len(t)-1):
            if t[i+1] not in g[t[i]]:
                break
        else:
            cnt+=1
print(cnt)

Fixed submission:
N,M=map(int,input().split())
inp=[list(map(int,input().split())) for _ in range(M)]
g=[[] for _ in range(N)]
[g[a-1].append(b-1) for a,b in inp]
[g[b-1].append(a-1) for a,b in inp]
 
from itertools import permutations
seq=[i for i in range(N)]
test=list(permutations(seq))
cnt=0
for t in test:
    if t[0]==0:
        for i in range(N-1):
            if t[i+1] not in g[t[i]]:
                break
        else:
            cnt+=1
print(cnt)

Buggy python submission (verdict: Runtime Error):
N,M=map(int,input().split())
inp=[list(map(int,input().split())) for _ in range(N)]
g=[[] for _ in range(N)]
[g[a-1].append(b-1) for a,b in inp]
[g[b-1].append(a-1) for a,b in inp]

from itertools import permutations
seq=[i for i in range(N)]
test=list(permutations(seq))
cnt=0
for t in test:
    if t[0]==0:
        for i in range(len(t)-1):
            if t[i+1] not in g[t[i]]:
                break
        cnt+=1
print(cnt)

Fixed submission:
N,M=map(int,input().split())
inp=[list(map(int,input().split())) for _ in range(M)]
g=[[] for _ in range(N)]
[g[a-1].append(b-1) for a,b in inp]
[g[b-1].append(a-1) for a,b in inp]
 
from itertools import permutations
seq=[i for i in range(N)]
test=list(permutations(seq))
cnt=0
for t in test:
    if t[0]==0:
        for i in range(N-1):
            if t[i+1] not in g[t[i]]:
                break
        else:
            cnt+=1
print(cnt)
Buggy python submission (verdict: Time Limit Exceeded):
n,ma,mb=map(int,input().split())
abc=[list(map(int,input().split())) for _ in [0]*n]

memo=[[10**5 for _ in [0]*401] for _ in [0]*401]
memo[0][0]=0

for N in range(n):
    for i in range(390,-1,-1):
        for j in range(390,-1,-1):
            a,b,c=abc[N]
            memo[i+a][j+b]=min(memo[i+a][j+b],memo[i][j]+c)

m=10**4
for i in range(1,400):
    for j in range(1,400):
        if i*mb==ma*j:
            m=min(m,memo[i][j])
if m==10**4:
    print(-1)
else:
    print(m)

Fixed submission:
n,ma,mb=map(int,input().split())
abc=[list(map(int,input().split())) for _ in [0]*n]

memo=[[10**4 for _ in [0]*(n*10+1)] for _ in [0]*(n*10+1)]
memo[0][0]=0

for N in range(n):
    for i in range(N*10,-1,-1):
        for j in range(N*10,-1,-1):
            a,b,c=abc[N]
            memo[i+a][j+b]=min(memo[i+a][j+b],memo[i][j]+c)

m=10**4
for i in range(1,n*10):
    for j in range(1,n*10):
        if i*mb==ma*j:
            m=min(m,memo[i][j])
if m==10**4:
    print(-1)
else:
    print(m)
Buggy python submission (verdict: Runtime Error):
s=input()
for i in range(len(s)):
  if s[i]==`A`:
    a=i
    break
for i in reversed(range(len(s))):
  if s[i]==`Z`:
    b=i
    break
print(b-a)

Fixed submission:
s=input()
for i in range(len(s)):
  if s[i]=="A":
    a=i
    break
for i in reversed(range(len(s))):
  if s[i]=="Z":
    b=i
    break
print(b-a+1)
Buggy python submission (verdict: Runtime Error):
def main():
    n=int(input())
    a=[int(input()) for _ in [0]*(n-1)]
    a=[[i+2,a[i]] for i in range(n-1)]
    l=[[] for _ in [0]*n]
    for i,j in a:
        l[j-1].append(i-1)
    def dps(i):
        if l[i]==[]:
            return 1
        _max=0
        _min=10**6
        for j in l[i]:
            temp=dps(j)
            _max=max(temp,_max)
            _min=min(temp,_min)
        return max(_max,_min+1)
    print(dps(0))
main()

Fixed submission:
def main():
    import sys
    sys.setrecursionlimit(100000)
    n=int(input())
    a=[int(input()) for _ in [0]*(n-1)]
    a=[[i+2,a[i]] for i in range(n-1)]
    l=[[] for _ in [0]*n]
    for i,j in a:
        l[j-1].append(i-1)
    def dps(i):
        if l[i]==[]:
            return 0
        temp=[]
        for j in l[i]:
            temp.append(dps(j))
        temp.sort(reverse=True)
        temp=[temp[i]+i+1 for i in range(len(temp))]
        return max(temp)
    print(dps(0))
main()
Buggy python submission (verdict: Runtime Error):
a,b=map(int,input().split())
print(b//x-(a-1)//x)

Fixed submission:
a,b,x=map(int,input().split())
print(b//x-(a-1)//x)

Buggy python submission (verdict: Runtime Error):
print(b//x-(a-1)//x)

Fixed submission:
a,b,x=map(int,input().split())
print(b//x-(a-1)//x)
Buggy python submission (verdict: Runtime Error):
def main():
    n = int(input())
    a = [int(input()) for _ in [0]*n]
    m = max(a)
    xor = 0
    for i in a:
        xor ^= i
    i = 1
    cnt = 0
    while True:
        if xor >= i:
            i *= 2
            cnt += 1
        else:
            break
    ans = 0
    for i in range(cnt-1, -1, -1):
        j = (xor & 2**i) // (2**i)
        if j == 1:
            for k in a:
                if k % (2**i) == 0:
                    xor ^= k
                    xor ^= k-1
                    ans += 1
                    a.remove(k)
                    break
            else:
                print(-1/0)
                return 0
    print(ans)


main()

Fixed submission:
def main():
    n = int(input())
    a = [int(input()) for _ in [0]*n]
    xor = 0
    for i in a:
        xor ^= i
    i = 1
    cnt = 0
    while True:
        if xor >= i:
            i *= 2
            cnt += 1
        else:
            break
    ans = 0
    for i in range(cnt-1, -1, -1):
        j = (xor & 2**i) // (2**i)
        if j == 1:
            for k in a:
                if (k & 2**i) // (2**i) == 1 and k % (2**i) == 0:
                    xor ^= k
                    xor ^= k-1
                    ans += 1
                    a.remove(k)
                    break
            else:
                print(-1)
                return 0
    print(ans)


main()
Buggy python submission (verdict: Runtime Error):
H,W=map(int,input().split())
G=[input()+"." for _ in range(4)]+["."*(W+1)]
p=[0,0]
while(p!=[H-1,W-1]):
    if G[p[0]+1][p[1]]==G[p[0]][p[1]+1]:
        print("Impossible")
        break
    elif G[p[0]+1][p[1]]=="#":
        p=[p[0]+1,p[1]]
    else:
        p=[p[0],p[1]+1]
else:
    print("Possible")

Fixed submission:
H,W=map(int,input().split())
G=[input()+"." for _ in range(H)]+["."*(W+1)]
G_cnt=sum([g.count("#") for g in G])
p=[0,0]
i=1
while(p!=[H-1,W-1]):
    if G[p[0]+1][p[1]]==G[p[0]][p[1]+1]:
        print("Impossible")
        break
    elif G[p[0]+1][p[1]]=="#":
        p=[p[0]+1,p[1]]
        i+=1
    else:
        p=[p[0],p[1]+1]
        i+=1
else:
    if i==G_cnt:
        print("Possible")
    else:
        print("Impossible")
Buggy python submission (verdict: Runtime Error):
a=list(map(int,input()));print("YNeos"[sum(a)!=max(a)*2])


Fixed submission:
a=list(map(int,input().split()));print("YNeos"[sum(a)!=max(a)*2::2])