Utkarsh is forced to play yet another one of Ashish's games. The game progresses turn by turn and as usual, Ashish moves first.

Consider the 2D plane. There is a token which is initially at (0,0). In one move a player must increase either the x coordinate or the y coordinate of the token by exactly k. In doing so, the player must ensure that the token stays within a (Euclidean) distance d from (0,0).

In other words, if after a move the coordinates of the token are (p,q), then p^2 + q^2 ≤ d^2 must hold.

The game ends when a player is unable to make a move. It can be shown that the game will end in a finite number of moves. If both players play optimally, determine who will win.

Input

The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test cases.

The only line of each test case contains two space separated integers d (1 ≤ d ≤ 10^5) and k (1 ≤ k ≤ d).

Output

For each test case, if Ashish wins the game, print "Ashish", otherwise print "Utkarsh" (without the quotes).

Example

Input


5
2 1
5 2
10 3
25 4
15441 33


Output


Utkarsh
Ashish
Utkarsh
Utkarsh
Ashish

Note

In the first test case, one possible sequence of moves can be

(0, 0) \xrightarrow{Ashish } (0, 1) \xrightarrow{Utkarsh } (0, 2).

Ashish has no moves left, so Utkarsh wins.

<image>
import java.util.Scanner;

public class NewClass {
    
    static boolean check(int x,int y,char c,int d,int b){
        
        if(c=='x')
            x+=b;
        else y+=b;
        if(x*x+y*y <= d*d)
            return true;
        else return false;
        
    }
    public static void main(String[] args) {
        
        Scanner sc = new Scanner(System.in);
        int t=sc.nextInt();
        for (int i = 0; i < t; i++) {

            int s1=sc.nextInt(),s2=sc.nextInt(), z=1;
            int x=0,y=0;
            while(true){
                
                if(check(x,y,'x',s1,s2)&&check(x,y,'y',s1,s2)){
                    if(x>=y)
                        y+=s2;
                    else x+=s2;
                    z+=1;
                    continue;
                }
                else if(check(x,y,'x',s1,s2)){
                    z+=1;
                    x+=s2;
                    continue;
                } 
                else if(check(x,y,'y',s1,s2)){
                    z+=1;
                    y+=s2;
                    continue;
                } 
                if(z%2==0){
                    System.out.println("Ashish");
                    break;}
                else{
                    System.out.println("Utkarsh");
                    break;}
            }
                
            
            
            
        }
        
        
    }
    
}
