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>
#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#pragma GCC optimize("unroll-loops")

#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

#define DEBUG
#ifdef DEBUG
#define debug(...) __f(#__VA_ARGS__, __VA_ARGS__)
	template <typename Arg1>
	void __f(const char* name, Arg1&& arg1)
	{
		cerr << name << " = " << arg1 << endl;
	}
	template <typename Arg1, typename... Args>
	void __f(const char* names, Arg1&& arg1, Args&&... args)
	{
		const char* comma = strchr(names + 1, ','); cerr.write(names, comma - names) << " = " << arg1 << " || ";
		__f(comma+1, args...);
	}
#else
#define debug(...)
#endif

template <class Ch, class Tr, class Container>
basic_ostream <Ch, Tr> & operator << (basic_ostream <Ch, Tr> & os, Container const& x) {
    os << "{ ";
    for(auto& y : x) os << y << " ; ";
    return os << "}";
}

template <class X, class Y>
ostream & operator << (ostream & os, pair <X, Y> const& p) {
	return os << "[ " << p.first << ", " << p.second << "]" ;
}

#define FAST_IO std::ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define ll long long int
#define pb push_back
#define mp make_pair
#define ld long double
#define sz(a) (ll)(a).size()
#define endl "\n"

// priority_queue<ll, vector<ll>, less<ll>>pq;     // Max Heap
// priority_queue<ll, vector<ll>, greater<ll>>pq;  // Min Heap

typedef tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
//K-th smallest
//cout << k << "kth (1 based indexing) smallest: " << *A.find_by_order(k - 1) << endl;
//NO OF ELEMENTS < X
//cout << "No of elements less than " << X << " are " << A.order_of_key(X) << endl;

int main()
{
	FAST_IO;

    ll t;
    cin >> t;
    while(t--)
    {
    	ll d, k;
    	cin >> d >> k;
    	if(k > d)
    	{
    		cout << "Utkarsh" << endl;
    		continue;
    	}
    	ll w = sqrt(2 * d * d);
    	while(w * w < 2 * d * d) w += 1;
    	w -= 1;
    	w /= k;
    	if(w % 2 == 0) cout << "Utkarsh" << endl;
    	else cout << "Ashish" << endl; 
    }
    return 0;
}