#include<cstdio>
#include<iostream>
#include<cstdlib>
#include<cmath>
#include<cctype>
#include<string>
#include<cstring>
#include<vector>
#include<algorithm>
using namespace std;
#include<cstdio>
#include<iostream>
#include<cstdlib>
#include<cmath>
#include<cctype>
#include<string>
#include<cstring>
#include<vector>
#include<algorithm>
using namespace std;