Paper Game

Hasan and Hussain are playing a game with W × H paper, the game consist of turns; Hasan starts first. On each turn, the player chooses one of the pieces of paper and cuts it into two papers such that the cut must be a straight line parallel to one of the paper sides and must cut the paper to two pieces of paper with integer dimensions.

The loser is the one who can't make a move (i.e when all pieces of paper become 1 × 1). Assuming that Hasan and Hussain are playing optimally, who will win the game?

Input

The first line of input is an integer T(1 ≤ T ≤ 101) which represents the number of test cases. Each of the next T lines consists of two space-separated integers W,H (1 ≤ W,H ≤ 100,000) the width and the height of the paper.

Output

For each test case, output a single line representing its answer; if Hasan is the winner output "Hasan" (without quotes) otherwise "Hussain" (without quotes).

Examples

Input

3
1 1
2 1
2 2

Output

Hussain
Hasan
Hasan

AC代码(切n个方块的纸片需要n-1次)

#include <iostream>
#include <bits/stdc++.h>
using namespace std;

int main()
{
     int t, x, y;
     while(scanf("%d",&t)!=EOF)
     {
         while(t--)
         {
             scanf("%d%d",&x,&y);
         long long int sm = x*y;
         if((sm-1)%2==0)
            printf("Hussain\n");
         else
            printf("Hasan\n");
         }
     }
    return 0;
}

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转载自blog.csdn.net/qq_41524782/article/details/81357659