Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
import heapq,sys

input=sys.stdin.readline

N,M=map(int,input().split())
edge=[[] for i in range(N)]
for i in range(M):
    a,b=map(int,input().split())
    edge[a-1].append(b-1)
    edge[b-1].append(a-1)

Q=int(input())
query=[]
for i in range(Q):
    v,d,c=map(int,input().split())
    query.append((v-1,d,c))
query=query[::-1]

ans=[0]*N
time=[-1]*N


for i in range(Q):
    v,d,c=query[i]
    que=[(0,v,d)]
    heapq.heapify(que)
    while que:
        val,v,di=heapq.heappop(que)
        time[v]=di
        if not ans[v]:
            ans[v]=c
        for nv in edge[v]:
            if di-1>time[nv]:
                time[nv]=di-1
                heapq.heappush(que,(val+1,nv,di-1))

for i in range(N):
    print(ans[i])

Fixed submission:
import heapq,sys
from collections import deque

input=sys.stdin.readline

N,M=map(int,input().split())
edge=[[] for i in range(N)]
for i in range(M):
    a,b=map(int,input().split())
    edge[a-1].append(b-1)
    edge[b-1].append(a-1)

Q=int(input())
query=[]
for i in range(Q):
    v,d,c=map(int,input().split())
    query.append((v-1,d,c))
query=query[::-1]

ans=[0]*N
time=[-1]*N


for i in range(Q):
    v,d,c=query[i]
    que=deque([(0,v,d)])
    while que:
        val,v,di=que.popleft()
        time[v]=di
        if not ans[v]:
            ans[v]=c
        for nv in edge[v]:
            if di-1>time[nv]:
                time[nv]=di-1
                que.append((val+1,nv,di-1))

for i in range(N):
    print(ans[i])
Buggy python submission (verdict: Runtime Error):
N,M=map(int,input().split())
hen=[[] for i in range(0,N)]
for i in range(0,N):
    a,b=map(int,input().split())
    hen[a-1].append(b-1)
    hen[b-1].append(a-1)

def onestrokepath(start,visited=[]):
    flag=0
    count=0
    for next in hen[start]:
        if not next in visited:
            flag=1
            count+=onestrokepath(next,visited+[next])
    if flag==0:
        check=[i for i in range(0,N)]
        visited.sort()
        if check==visited:
            return 1
        else:
            return 0
    return count

print(onestrokepath(0,[0]))


Fixed submission:
N,M=map(int,input().split())
hen=[[] for i in range(0,N)]
for i in range(0,M):
    a,b=map(int,input().split())
    hen[a-1].append(b-1)
    hen[b-1].append(a-1)

def onestrokepath(start,visited=[]):
    flag=0
    count=0
    for next in hen[start]:
        if not next in visited:
            flag=1
            count+=onestrokepath(next,visited+[next])
    if flag==0:
        check=[i for i in range(0,N)]
        visited.sort()
        if check==visited:
            return 1
        else:
            return 0
    return count

print(onestrokepath(0,[0]))
Buggy python submission (verdict: Runtime Error):
from math import gcd

N,ma,mb=map(int,input().split())
med=[]
for i in range(0,N):
    a,b,c=map(int,input().split())
    med.append((a,b,c))

dp=[[[float("inf") for i in range(0,401)] for j in range(0,401)] for k in range(0,N)]
dp=[[float("inf") for i in range(0,401)] for j in range(0,401)]

for i in range(0,401):
    for j in range(0,401):
        if not (i==0 and j==0):
            g=gcd(i,j)
            I=i//g
            J=j//g
            if I==ma and J==mb:
                dp[i][j]=0
            else:
                g=gcd(i+med[0][0],j+med[0][1])
                I=(i+med[0][0])//g
                J=(j+med[0][1])//g
                if I==ma and J==mb:
                    dp[i][j]=med[0][2]

for i in range(1,N):
    a,b,c=med[i]
    for j in range(0,401-a):
        for k in range(0,401-b):
            dp[j][k]=min(dp[j][k],c+dp[j+a][k+b])

if dp[0][0]==float("inf"):
    print(-1)
else:
    print(dp[0][0])

Fixed submission:
from fractions import gcd

N,ma,mb=map(int,input().split())
med=[]
for i in range(0,N):
    a,b,c=map(int,input().split())
    med.append((a,b,c))

dp=[[[float("inf") for i in range(0,401)] for j in range(0,401)] for k in range(0,N)]
dp=[[float("inf") for i in range(0,401)] for j in range(0,401)]

for i in range(0,401):
    for j in range(0,401):
        if not (i==0 and j==0):
            g=gcd(i,j)
            I=i//g
            J=j//g
            if I==ma and J==mb:
                dp[i][j]=0
            else:
                g=gcd(i+med[0][0],j+med[0][1])
                I=(i+med[0][0])//g
                J=(j+med[0][1])//g
                if I==ma and J==mb:
                    dp[i][j]=med[0][2]

for i in range(1,N):
    a,b,c=med[i]
    for j in range(0,401-a):
        for k in range(0,401-b):
            dp[j][k]=min(dp[j][k],c+dp[j+a][k+b])

if dp[0][0]==float("inf"):
    print(-1)
else:
    print(dp[0][0])
Buggy python submission (verdict: Time Limit Exceeded):
class BIT():
    def __init__(self,n):
        self.BIT=[0]*(n+1)
        self.num=n

    def query(self,idx):
        res_sum = 0
        while idx > 0:
            res_sum += self.BIT[idx]
            idx -= idx&(-idx)
        return res_sum

    #Ai += x O(logN)
    def update(self,idx,x):
        while idx <= self.num:
            self.BIT[idx] += x
            idx += idx&(-idx)
        return

import sys

input=sys.stdin.readline

N,M=map(int,input().split())
q={i:[] for i in range(1,M+1)}
for i in range(N):
    l,r=map(int,input().split())
    q[l].append(r)

query={i:[] for i in range(1,M+1)}
qans={}
for i in range(1,M+1):
    for j in range(1,M//i):
        query[i*j].append(i*j+i)
        qans[(i*j,i*j+i)]=0

bit=BIT(M)
for i in range(1,M+1):
    for r in q[i]:
        bit.update(r,1)
    for r in query[i]:
        qans[(i,r)]=bit.query(r-1)-bit.query(i-1)

imos=[0 for i in range(M+2)]
for i in range(1,M+1):
    for r in q[i]:
        imos[i]+=1
        imos[r+1]-=1

for i in range(1,M+1):
    imos[i]+=imos[i-1]

for i in range(1,M+1):
    res=imos[i*(M//i)]
    for j in range(M//i,1,-1):
        res+=qans[(i*j-i,i*j)]
    print(res)

Fixed submission:
class BIT():
    def __init__(self,n):
        self.BIT=[0]*(n+1)
        self.num=n

    def query(self,idx):
        res_sum = 0
        while idx > 0:
            res_sum += self.BIT[idx]
            idx -= idx&(-idx)
        return res_sum

    #Ai += x O(logN)
    def update(self,idx,x):
        while idx <= self.num:
            self.BIT[idx] += x
            idx += idx&(-idx)
        return

import sys

input=sys.stdin.readline

N,M=map(int,input().split())
q={i:[] for i in range(1,M+1)}
imos=[0 for i in range(M+2)]
for i in range(N):
    l,r=map(int,input().split())
    q[l].append(r)
    imos[l]+=1
    imos[r+1]-=1
for i in range(1,M+1):
    imos[i]+=imos[i-1]
res={i:imos[i*(M//i)] for i in range(1,M+1)}

query={i:[] for i in range(1,M+1)}
for i in range(1,M+1):
    for j in range(1,M//i):
        query[i*j].append(i*j+i)

bit=BIT(M)
for i in range(1,M+1):
    for r in q[i]:
        bit.update(r,1)
    for r in query[i]:
        res[r-i]+=bit.query(r-1)-bit.query(i-1)

for i in range(1,M+1):
    print(res[i])
Buggy python submission (verdict: Runtime Error):
N=int(input())
edge={i:[] for i in range(1,N+1)}
parent={i:0 for i in range(1,N+1)}
for i in range(0,N-1):
    a=int(input())
    edge[a].append(i+2)
    edge[i+2].append(a)
    parent[i+2]=a

memo={i:-1 for i in range(1,N+1)}
def dp(num):
    if memo[num]!=-1:
        return memo[num]

    if edge[num]==[parent[num]]:
        memo[num]=0
        return memo[num]

    test=[]
    for i in edge[num]:
        if i!=parent[num]:
            test.append(dp(i))
    test.sort(reverse=True)
    memo[num]=max(i+1+test[i] for i in range(0,len(test)))
    return memo[num]

print(dp(1))

Fixed submission:
import sys

sys.setrecursionlimit(1000000)

N=int(input())
edge={i:[] for i in range(1,N+1)}
parent={i:0 for i in range(1,N+1)}
for i in range(0,N-1):
    a=int(input())
    edge[a].append(i+2)
    edge[i+2].append(a)
    parent[i+2]=a

memo={i:-1 for i in range(1,N+1)}
def dp(num):
    if memo[num]!=-1:
        return memo[num]

    if edge[num]==[parent[num]]:
        memo[num]=0
        return memo[num]

    test=[]
    for i in edge[num]:
        if i!=parent[num]:
            test.append(dp(i))
    test.sort(reverse=True)
    memo[num]=max(i+1+test[i] for i in range(0,len(test)))
    return memo[num]

print(dp(1))
Buggy python submission (verdict: Time Limit Exceeded):
N,A,B,C,D=map(int,input().split())
mod=10**9+7

factorial=[1]
for i in range(1,1001):
    factorial.append((factorial[-1]*i)%mod)

inverse=[pow(factorial[i],mod-2,mod) for i in range(1001)]

dp=[{i:0 for i in range(A-1,B+1)} for j in range(N+1)]

for i in range(A,B+1):
    dp[0][i]=1

dp[0][A-1]=1

for i in range(1,N+1):
    for j in range(A,B+1):
        dp[i][j]=dp[i][j-1]+sum(dp[i-k*j][j-1]*factorial[i]*pow(inverse[j],k,mod)*inverse[k]*inverse[i-j*k] for k in range(C,min(D,i//j)+1))
        dp[i][j]%=mod

print(dp[N][B])


Fixed submission:
N,A,B,C,D=map(int,input().split())
mod=10**9+7

factorial=[1]
for i in range(1,1001):
    factorial.append((factorial[-1]*i)%mod)

inverse=[pow(factorial[i],mod-2,mod) for i in range(1001)]

Inverse=[[1] for i in range(1001)]
for i in range(1001):
    for j in range(1,1001):
        Inverse[i].append((Inverse[i][-1]*inverse[i])%mod)

dp=[{i:0 for i in range(A-1,B+1)} for j in range(N+1)]

for i in range(A-1,B+1):
    dp[0][i]=1


for i in range(1,N+1):
    for j in range(A,B+1):
        dp[i][j]=dp[i][j-1]+factorial[i]*sum(dp[i-k*j][j-1]*Inverse[j][k]*inverse[k]*inverse[i-j*k] for k in range(C,min(D,i//j)+1))
        dp[i][j]%=mod

print(dp[N][B])
Buggy python submission (verdict: Time Limit Exceeded):
N,A=map(int,input().split())

ans=N
for n in range(1,41):
    for i in range(2*n,int(N**(1/n))+100):
        test=i+n*A
        q=i//n
        r=i%n
        prod=pow(q,n-r)*pow(q+1,r)
        test+=(N-1)//prod+1
        ans=min(ans,test)

print(ans)


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

ans=N

for i in range(-10,10):
    x=int(N**.5)+i
    if x>0:
        test=x+A+(N-1)//x+1
        ans=min(ans,test)

for n in range(2,41):
    for i in range(2*n,int(N**(1/n))+1000):
        test=i+n*A
        q=i//n
        r=i%n
        prod=pow(q,n-r)*pow(q+1,r)
        test+=(N-1)//prod+1
        ans=min(ans,test)

print(ans)

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

ans=N
for n in range(1,41):
    for i in range(2*n,N**(1/n)+100):
        test=i+n*A
        q=i//n
        r=i%n
        prod=pow(q,n-r)*pow(q+1,r)
        test+=(N-1)//prod+1
        ans=min(ans,test)

print(ans)


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

ans=N

for i in range(-10,10):
    x=int(N**.5)+i
    if x>0:
        test=x+A+(N-1)//x+1
        ans=min(ans,test)

for n in range(2,41):
    for i in range(2*n,int(N**(1/n))+1000):
        test=i+n*A
        q=i//n
        r=i%n
        prod=pow(q,n-r)*pow(q+1,r)
        test+=(N-1)//prod+1
        ans=min(ans,test)

print(ans)
Buggy python submission (verdict: Runtime Error):
N=int(input())
a=list(map(int,input().split()))
def cond(n):
    L=(0,-1)
    for i in range(1,N):
        if a[i]>=n and a[i-1]>=n:
            L=(i,1)
        elif a[i]<n and a[i-1]<n:
            L=(i,0)

    R=(2*N-1,-1)
    for i in range(2*N-3,N-2,-1):
        if a[i]>=n and a[i+1]>=n:
            R=(i,1)
        elif a[i]<n and a[i+1]<n:
            R=(i,0)

    if L[1]==-1 and R[1]==-1:
        return a[0]>=n
    elif L[1]==-1:
        return R[1]==1
    elif R[1]==-1:
        return L[1]==1
    elif L[1]==R[1]:
        return R[1]==1
    else:
        if L[1]==0:
            return N-1-L[0]>R[0]-(N-1)
        else:
            return N-1-L[0]<R[0]-(N-1)


start=1
end=2*N-1
while end-start>1:
    test=(end+start)//2
    if cond(test):
        start=test
    else:
        end=test
if cond(end):
    print(end)
else:
    print(start)

Fixed submission:
N,x=map(int,input().split())
if N==2:
    if x==2:
        print('Yes')
        for i in range(1,4):
            print(i)
    else:
        print('No')
else:
    if x==1 or x==2*N-1:
        print('No')
    elif x==2:
        print('Yes')
        S=[]
        T=[2*N-1,1,2,3,2*N-2]
        U=[]
        count=0
        for i in range(1,2*N):
            if (not i in T) and N-3>count:
                S.append(i)
                count+=1
                continue
            if (not i in T) and count>=N-3:
                U.append(i)
                continue
        ans=S+T+U
        for i in range(0,2*N-1):
            print(ans[i])
    elif x==2*N-2:
        print('Yes')
        S=[]
        T=[3,1,2*N-2,2*N-1,2]
        U=[]
        count=0
        for i in range(1,2*N):
            if (not i in T) and N-3>count:
                S.append(i)
                count+=1
                continue
            if (not i in T) and count>=N-3:
                U.append(i)
                continue
        ans=S+T+U
        for i in range(0,2*N-1):
            print(ans[i])
    else:
        print('Yes')
        S=[]
        T=[2*N-1,2,x,2*N-2,1]
        U=[]
        count=0
        for i in range(1,2*N):
            if (not i in T) and N-3>count:
                S.append(i)
                count+=1
                continue
            if (not i in T) and count>=N-3:
                U.append(i)
                continue
        ans=S+T+U
        for i in range(0,2*N-1):
            print(ans[i])
Buggy python submission (verdict: Time Limit Exceeded):
H,W=map(int,input().split())
c=[input() for i in range(H)]
dp=[[[0 for i in range(H+1)] for j in range(H+1)] for k in range(W-1)]

for i in range(W-1):
    for j in range(1,H+1):
        for k in range(1,H+1):
            cost=sum(c[j-l-1][i]==c[k-l-1][i+1] for l in range(0,min(j,k)))
            dp[i][j][k]=cost+min(dp[i][j-1][k],dp[i][j][k-1])

res=sum(dp[i][H][H] for i in range(W-1))

print(res)


Fixed submission:
H,W=map(int,input().split())
c=[input() for i in range(H)]
res=0
for i in range(W-1):
    dp=[[0 for j in range(H+1)] for k in range(H+1)]
    table=[[0 for j in range(H+1)] for k in range(H+1)]
    for j in range(1,H+1):
        for k in range(1,H+1):
            table[j][k]=table[j-1][k-1]+(c[j-1][i]==c[k-1][i+1])

    for j in range(1,H+1):
        for k in range(1,H+1):
            cost=table[j][k]
            dp[j][k]=cost+min(dp[j-1][k],dp[j][k-1])
    res+=dp[H][H]

print(res)
Buggy python submission (verdict: Runtime Error):
N=int(input())
A=[]
for i in range(N):
    A.append(int(input()))

a=A.copy()
A.sort()
dic={}
for i in range(0,N):
    dic[a[i]]=0
    dic[a[i]]=i

ans=0
for i in range(0,N):
    if i%2==1:
        if dic[A[i]]%2==0:
            ans+=1

print(ans)

Fixed submission:
import copy

N=int(input())
A=[]
for i in range(N):
    A.append(int(input()))

a=copy.copy(A)
A.sort()
dic={}
for i in range(0,N):
    dic[a[i]]=0
    dic[a[i]]=i

ans=0
for i in range(0,N):
    if i%2==1:
        if dic[A[i]]%2==0:
            ans+=1

print(ans)
Buggy python submission (verdict: Runtime Error):
X, Y = map(int, input().split())

if Y%2 == 1:
    print('No')
    exit()
else:
    if 2X <= Y <= 4*X:
        print('Yes')
    else:
        print('No')


Fixed submission:
X, Y = map(int, input().split())

if Y%2 == 1:
    print('No')
    exit()
else:
    if 2*X <= Y <= 4*X:
        print('Yes')
    else:
        print('No')
Buggy python submission (verdict: Runtime Error):
import math,sys
N = int(input())
A = list(map(int, input().split()))
ans = 1

if 0 in A:
    print(0)
    sys.exit()

for i in range(N):
    ans = ans*A[i]
    # if ans > pow(10,18):#pythonはオーバーフローしないからこれでも行ける
    if A[i] > 10**18/ans:#普通だったらオーバーフローしないようにやる
        # ans *= A[i]#こう書け
        print(-1)
        sys.exit()

print(ans)


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



if ans == 0:
    print(ans)
else:
    if ans > pow(10,18):
        print(-1)
    else:
        print(ans)


Fixed submission:
import math,sys
N = int(input())
A = list(map(int, input().split()))
ans = 1

if 0 in A:
    print(0)
    sys.exit()

for i in range(N):
    ans = ans*A[i]
    if ans > pow(10,18):
        print(-1)
        sys.exit()

print(ans)
Buggy python submission (verdict: Runtime Error):
import math
A, B, N = map(int, input().split())

for i in range(N+1):
    num = math.floor(A*i/B) - A*math.floor(i/B)
    if num > maxnum:
        maxnum = num
    print(str(i) + ':' + str(num) + ' max is ' + str(maxnum))
print(maxnum)


Fixed submission:
import math
A, B, N = map(int, input().split())

num = math.floor(A*min(B-1,N)/B) - A*math.floor(min(B-1,N)/B)

print(num)

Buggy python submission (verdict: Time Limit Exceeded):
import math
A, B, N = map(int, input().split())
maxnum  = 0

for i in range(N+1):
    num = math.floor(A*i/B) - A*math.floor(i/B)
    if num > maxnum:
        maxnum = num
#    print(str(i) + ':' + str(num) + ' max is ' + str(maxnum))
print(maxnum)    


Fixed submission:
import math
A, B, N = map(int, input().split())

num = math.floor(A*min(B-1,N)/B) - A*math.floor(min(B-1,N)/B)

print(num)
Buggy python submission (verdict: Runtime Error):
n = int(input())
arr = list(map(int, input().split()))
  
cost = [0]*n
cost[0] = 0
for i in range(1, n):
  if i > 1:
    cost[i] = min(abs(arr[i]-arr[i-2])+cost[i-2], abs(arr[i]-arr[i-1])+cost[i-1])
  elif i == 1:
    cost[i] = minabs(arr[i]-arr[i-1])

print(cost[-1])

Fixed submission:
n = int(input())
arr = list(map(int, input().split()))
  
cost = [0]*n
cost[0] = 0
for i in range(1, n):
  if i > 1:
    cost[i] = min(abs(arr[i]-arr[i-2])+cost[i-2], abs(arr[i]-arr[i-1])+cost[i-1])
  elif i == 1:
    cost[i] = abs(arr[i]-arr[i-1])

print(cost[-1])
Buggy python submission (verdict: Time Limit Exceeded):

n = int(input())
y = list(map(int, input().split(" ")))
s = 1
for i in y:
    s *= i
if s>10**18:
    print(-1)
else:
    print(s)


Fixed submission:

n = int(input())
y = list(map(int, input().split(" ")))
s = 1
hoge = False
for i in y:
    if i ==0:
        print(0)
        hoge = True

def f():
    s = 1
    for i in y:
        s *= i
        if s>10**18:
            print(-1)
            return
    print(s)
if not hoge:
    f()
Buggy python submission (verdict: Runtime Error):
import math 

n = int(input())
t = [ int(input()) for i in range(n)]
def lc(a,b):
    return a // math.gcd(a,b) * b

def lcm(b):
    ans = b[0]
    for i in b:
        ans = lc(ans,i)
    return ans
print(lcm(t))



Fixed submission:

n = int(input())
t = [ int(input()) for i in range(n)]
def gcd(a,b):
    if a<b:a,b = b,a 
    if b==0:return a
    else : return gcd(b,a%b)    

def lc(a,b):
    return a //gcd(a,b) * b

def lcm(b):
    ans = b[0]
    for i in b:
        ans = lc(ans,i)
    return ans
print(lcm(t))
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
P = [int(i) for i in input().split()]

c = 0
for i in range(N):
    a = min(P[:i+1])
    if a >= P[i]:
        c += 1
        
print(c)

Fixed submission:
N = int(input())
P = [int(i) for i in input().split()]

c = 0
a = P[0]
for i in range(N):
    a = min(a, P[i])
    if a >= P[i]:
        c += 1
        
print(c)
Buggy python submission (verdict: Runtime Error):
N, M = [int(i) for i in input().split()]
pS = {}

for _ in range(M):
    a, s = [i for i in input().split()]
    if a not in pS:
        pS[a] = {}
        if s == 'AC':
            pS[a]['AC'] = True
        else:
            pS[a]['count'] = 1
    else:
        if s == 'AC':
            pS[a]['AC'] = True
        elif 'AC' not in pS[a]:
            pS[a]['count'] += 1

s = 0
a = 0
for v in pS.values():
    s += v['count']
    if 'AC' in v:
        a += 1
    
print(a, s)

Fixed submission:
N, M = [int(i) for i in input().split()]
pS = {}

for _ in range(M):
    a, s = [i for i in input().split()]
    if a not in pS:
        pS[a] = {}
        if s == 'AC':
            pS[a]['AC'] = True
        else:
            pS[a]['count'] = 1
    else:
        if s == 'AC':
            pS[a]['AC'] = True
        elif 'AC' not in pS[a]:
            pS[a]['count'] += 1

s = 0
a = 0
for v in pS.values():
    if 'AC' in v and 'count' in v:
        s += v['count']
    if 'AC' in v:
        a += 1
    
print(a, s)
Buggy python submission (verdict: Runtime Error):
import math

A, B = [int(i) for i in input().split()]

C = math.gcd(A, B)
print(int((A * B)/C))

Fixed submission:
import fractions

A, B = [int(i) for i in input().split()]

C = fractions.gcd(A, B)
print(int((A * B)/C))

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

A, B = [int(i) for i in input().split()]

print(int((A * B) / math.gcd(A, B)))

Fixed submission:
import fractions

A, B = [int(i) for i in input().split()]

C = fractions.gcd(A, B)
print(int((A * B)/C))
Buggy python submission (verdict: Runtime Error):
A, B = [int(i) for i in input().split()]

i = 1

while True:
    if i == 1:
        s = A*i
    else:
        s = A*i - (i - 1)
    
    if s >= B:
        break
    i += 1

if B == 1:
    print(0)
else
    print(i)

Fixed submission:
A, B = [int(i) for i in input().split()]

i = 1

while True:
    if i == 1:
        s = A*i
    else:
        s = A*i - (i - 1)
    
    if s >= B:
        break
    i += 1

if B == 1:
    print(0)
else:
    print(i)
Buggy python submission (verdict: Runtime Error):
import math
def q45(n, d):
    a = math.ceil(n/(2*d+1))
    return a

N = int(input())
D = int(input())
print(q45(N, D))

Fixed submission:
import math
def q45(n, d):
    a = math.ceil(n/(2*d+1))
    return a

N, D= [int(i) for i in input().split()]
print(q45(N, D))

Buggy python submission (verdict: Runtime Error):
import math
def q45(n, d):
    a = math.ceil(n/(2*d+1))
    return a

N = int(input())
D = int(input())
print(q45(N, D))

Fixed submission:
import math
def q45(n, d):
    a = math.ceil(n/(2*d+1))
    return a

N, D= [int(i) for i in input().split()]
print(q45(N, D))
Buggy python submission (verdict: Runtime Error):
    def q38(n, d):
        max_d = max(d)
        min_d = min(d)
        count = 0
        for i in range(min_d+1, max_d):
            a = []
            b = []
            for j in d:
                if j >= i:
                    a.append(j)
                else:
                    b.append(j)
            if len(a) == len(b):
                count += 1
        return count
     
  N = int(input())
  d = [int(i) for i in input().split()]
  print(q38(N, d))

Fixed submission:
def check(N, d):
    numList = d
    numList.sort()
    
    if N % 2 != 0:
        print(0)
    else:
        print(numList[int(len(numList)/2)] - numList[int(len(numList)/2-1)])

N = int(input())
d = [int(i) for i in input().split()]
check(N, d)

Buggy python submission (verdict: Runtime Error):
def q38(n, d):
    max_d = max(d)
    min_d = min(d)
    count = 0
    for i in range(min_d+1, max_d):
        a = []
        b = []
        for j in d:
            if j >= i:
                a.append(j)
            else:
                b.append(j)
        if len(a) == len(b):
            count += 1
    return count
N = int(input())
d = [int(i) for i in input.split()]
print(q38(N, d))

Fixed submission:
def check(N, d):
    numList = d
    numList.sort()
    
    if N % 2 != 0:
        print(0)
    else:
        print(numList[int(len(numList)/2)] - numList[int(len(numList)/2-1)])

N = int(input())
d = [int(i) for i in input().split()]
check(N, d)