#include<bits/stdc++.h>
#include<iostream>
#include<istream>
#include<ostream>
#include<vector>
#include<string>
#include<cstring>
#include<algorithm>
#include<queue>
#include<stack>
#include<iomanip>
#include<list>
#include<map>
#include<cctype>
#include<set>
#include<sstream>
#include<ios>
