#include<stdio.h>
#include<algorithm>
#include<iostream>
#include<math.h>
#include<cstring>
#define go(i,a,b) for(int i=a;i<=b;i++)
#define ro(i,a,b) for(int i=a;i>=b;i--)
#define fo(i,a,x) for(int i=a[x],v=e[i].v;i;i=e[i].next,v=e[i].v)
#define mem(a,b) memset(a,b,sizeof(a))
using namespace std;
int main()
{
return 0;
}//Paul_Guderian