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.*;

public class Main {
    public static void main(String[] args) {
	    Scanner sc=new Scanner(System.in);
	    int t=sc.nextInt();
	    sc.nextLine();
	    while(t-->0){
			long d = sc.nextLong();
			int k=sc.nextInt();
			boolean isAshish=true;
			long x=0,y=0;
			long val=(long)Math.sqrt(d*d/(2*k*k));
			x=val*k;y=val*k;
			while(true){
				if(isAshish){
					if((x+k)*(x+k)+y*y<=d*d){
						x+=k;
						isAshish=false;
					}else if(x*x+(y+k)*(y+k)<=d*d){
						y+=k;
						isAshish=false;
					}else{
						break;
					}
				}else{
					if(x*x+(y+k)*(y+k)<=d*d){
						y+=k;
						isAshish=true;
					}else if((x+k)*(x+k)+y*y<=d*d){
						x+=k;
						isAshish=true;
					}else{
						break;
					}
				}
			}
			if(isAshish){
				System.out.println("Utkarsh");
			}else{
				System.out.println("Ashish");
			}
		}
    }
}