#include <fstream>
#include <vector>
#include <array>
using namespace std;

constexpr int arr[] = {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,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,
4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,
8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,
1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1,8,2,7,4,1,2,8,1,4,7,2,1};

int calc_sg(ifstream& f){
	int n, rez = 0;
	f >> n;
	int x = 0;
	for(int i = 0, b; i < n; ++i){
		f >> b;
		if(b){
			++x; }
		else{
			rez ^= arr[x];
			x = 0; } }
	return rez ^ arr[x]; }

int main(){
	ifstream f("bowling.in");
	ofstream g("bowling.out");
	int t;
	f >> t;
	for(int i = 0; i < t; ++i){
		g << (calc_sg(f) == 0 ? "Fumeanu\n" : "Nargy\n"); }
	return 0; }