#include<bits/stdc++.h>
#include<iostream>
#include<iomanip>
#include<cstdio>
#include<cstring>
#include<string>
#include<algorithm>
#include<cmath>
#include<algorithm>
#include<vector>
#include<set>
#include<queue>
#include<map>
using namespace std;
int main(){
	freopen("traverse.in","r",stdin);
	freopen("traverse.out","w",stdout);
	return 0;
}

