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.io.*;
import java.util.*;

public class Main {
	static class FastReader
	{
	BufferedReader br;
	StringTokenizer st;

	public FastReader()
	{
	br = new BufferedReader(new
	InputStreamReader(System.in));
	}

	String next()
	{
	while (st == null || !st.hasMoreElements())
	{
	try
	{
	st = new StringTokenizer(br.readLine());
	}
	catch (IOException e)
	{
	e.printStackTrace();
	}
	}
	return st.nextToken();
	}

	int nextInt()
	{
	return Integer.parseInt(next());
	}

	long nextLong()
	{
	return Long.parseLong(next());
	}

	double nextDouble()
	{
	return Double.parseDouble(next());
	}

	String nextLine()
	{
	String str = "";
	try
	{
	str = br.readLine();
	}
	catch (IOException e)
	{
	e.printStackTrace();
	}
	return str;
	}
	}
	public static void main(String[] args) {
		FastReader sc = new FastReader();
		int t = sc.nextInt();
		while(t-->0) {
			int d = sc.nextInt();
			int k = sc.nextInt();
			
			int i = 0;
			int j = 0;
			
			int pos = 0;
			
			while(true) {
				if(i*i + j*j > d*d) break;
				else if((i+k)*i+k + j*j==d*d || i*i + (j+k)*(j+k)==d*d) {
					if((i+k)*i+k + j*j==d*d) i+=k;
					else j+=k;
				}
				else {
					if((i+k)*(i+k)+j*j<i*i+(j+k)*(j+k))
						i+=k;
					else 
						j+=k;
				}
				pos++;
			}
			if(pos%2==0) System.out.println("Ashish");
			else System.out.println("Utkarsh");
		}
	}
}
