#include<algorithm>
#include<bitse>
#include<cmath>
#include<cstdio>
#include<cstdlib>
#include<ctime>
#include<deque>
#include<fuctinal>
#include<iomanip>
#include<iostream>
#include<list>
#include<map>
#include<numeric>
#include<queue>
#include<set>
#include<sstream>
#include<stack>
#include<utility>
#include<vector>
using namespace std;