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#include<cstdio>
#include<iostream>
#include<cmath>
#include<cstring>
#include<cstdlib>
#include<vector>
#include<queue>
#include<list>
#include<stack>
#include<set>
#include<map>
#include<string>
#include<algorithm>
#include<functional>
#include<bitset>
using namespace std;
#pragma comment(linker, "/STACK:1024000000,1024000000")
#define PB push_back
#define MP make_pair
const double pi=acos(-1.0),eps=1e-8;
const int maxn=1100,maxm=1100000,inf=0x3f3f3f3f;
#define ll __int64
//const ll linf=1122334455667788990;
inline int nextInt()
{
    char c;c=getchar();
    while(c!='-'&&(c<'0'||c>'9'))c=getchar();
    int n=0,s=1;if(c=='-')s=-1,c=getchar();
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