祖传头文件（更新）
/**
/*@author Victor
/*language C++
*/
//#include <bits/stdc++.h>
#include<iostream>
#include<algorithm>
#include<cstdlib>
#include<cstring>
#include<cstdio>
#include<string>
#include<vector>
#include<bitset>
#include<queue>
#include<deque>
#include<stack>
#include<cmath>
#include<list>
//#include<map>
#include<set>
//#define DEBUG
#define RI register int
using namespace std;
typedef long long ll;
//typedef __int128 lll;
const int N=100000+10;
const int MOD=1e9+7;
const double PI = acos(-1.0);
const double EXP = 1E-8;
const int INF = 0x3f3f3f3f;
#define pii pair<int,int>
#define pll pair<ll,ll>
#define pil pair<int , ll>
#define pli pair<ll,int>
#define pdl pair<double,ll>
#define pld pair<ll,double>
#define pdd pair<double,double>
#define iput(n) scanf("%d",&n)
#define iiput(a,n) scanf("%d%d",&a,&n)
#define iiiput(a,b,c) scanf("%d%d%d",&a,&b,&c)
#define dput(n) scanf("%lf",&n)
#define llput(n) scanf("%lld",&n)
#define cput(n) scanf("%s",n)
#define puti(n) printf("%d\n",n)
#define putll(n) printf("%lld\n",n)
#define putd(n) printf("%lfd\n",n)
#define _cls(n) memset(n,0,sizeof(n))
#define __cls(n) memset(n,INF,sizeof(n))
#define lc rt << 1
#define rc rt <<1|1
//priority_queue <int,vector<int>,greater<int> > Q;//优先队列递增
//priority_queue<int>Q;//递减
//map<ll,ll>mp;
//set<ll>st;
//stack<>st;
//queue<>Q;
#define F first
#define S second
#define pb push_back
#define PB push_back
#define MP make_pair
#define ALL(x) begin(x), end(x)
#define SZ(x) (int)(x).size()
/***********************************************/
//加速输入挂
# define IOS ios::sync_with_stdio(false); cin.tie(0);cout.tie(0)
# define FOR(i,a,n) for(int i=a; i<=n; ++i)
//求二进制中1的个数
//__builtin_popcount(n);
//求2^k
//#define (ll)Pow(2,k) (1LL<<k)
#define to_1(n) __builtin_popcount(n)
//树状数组
#define lowbit(x) (x&-x)
//#ifdef DEBUG
#define fin freopen("input.in", "r", stdin)
#define fout freopen("output.out", "w", stdout);
//#endif
//手动扩栈
#pragma comment(linker,"/STACK:102400000,102400000")
