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>
#line 2 "/home/defineprogram/Desktop/Library/template/template.cpp"
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define rep(i,n) for(ll i=0;i<n;i++)
#define REP(i,n) for(ll i=1;i<n;i++)
#define rev(i,n) for(ll i=n-1;i>=0;i--)
#define all(v) v.begin(),v.end()
#define P pair<ll,ll>
#define len(s) (ll)s.size()
 
template<class T,class U> inline bool chmin(T &a, U b){
	if(a>b){a=b;return true;}
	return false;
}
template<class T,class U> inline bool chmax(T &a, U b){
	if(a<b){a=b;return true;}
	return false;
}
constexpr ll inf = 3e18;
#line 2 "main.cpp"

int main(){
	cin.tie(0);ios::sync_with_stdio(false);
	int t;cin>>t;
	while(t--){
		ll k,d;cin>>d>>k;
		ll x=0,y=0;
		rep(i,inf){
			if(i%2==0)x+=k;
			else y+=k;
			if(x*x+y*y>d*d){
				if(i%2==0)cout<<"Utkarsh\n";
				else cout<<"Ashish\n";
				break;
			}
		}
	}
}
