#include<stdio.h>
int t,n,sol,nr;
int d[]={0,1,2,3,1,4,3,2,1,4,2,6,4,1,2,7,1,4,3,2,1,4,6,7,4,1,2,8,5,4,7,2,1,8,6,7,4,1,2,3,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,4,2,7,4,1,2,8,1,4,7,2,1,8,6,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
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8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
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8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
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8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
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8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
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8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
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8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
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8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1};
int main ()
{
int i,val;
freopen("bowling.in","r",stdin);
freopen("bowling.out","w",stdout);
scanf("%d",&t);
for(;t;t--)
{
scanf("%d",&n);
sol=0;
nr=0;
for(i=1;i<=n;i++)
{
scanf("%d",&val);
if(val)
nr++;
else
{
if(nr)
sol^=d[nr];
nr=0;
}
}
if(nr)
sol^=d[nr];
if(sol>0)
printf("Nargy\n");
else
printf("Fumeanu\n");
}
return 0;
}