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>
#include <bits/stdc++.h>
#define sz(v)   ((int)(v).size())
#define  all(v)    ((v).begin()),((v).end())
#define  allr(v)    ((v).rbegin()),((v).rend())
#define   pb         push_back
#define   mp         make_pair
#define   Y            imag()
#define   X            real()
#define    clr(v,d)      memset( v, d ,sizeof(v))
#define   angle(n)      atan2((n.imag()),(n.real()))
#define   vec(a,b)       ((b)-(a))
#define   length(a)      hypot( (a.imag()),(a.real()) )
#define   normalize(a)      (a)/(length(a))
#define    dp(a,b)          (((conj(a))*(b)).real())
#define    cp(a,b)          (((conj(a))*(b)).imag())
#define    lengthsqrt(a)       dp(a,a)
#define    rotate0( a,ang)    ((a)*exp( point(0,ang) ))
#define    rotateA(about,p,ang)   (rotate0(vec(about,p),ang)+about)
#define    lcm(a,b)                ((a*b)/(__gcd(a,b)))
#define    reflection0(m,v)         (conj((v)/(m))*(m))
#define     reflectionA(m,v,p0)     (conj( (vec(p0,v))/(vec(p0,m)) ) * (vec(p0,m)) ) + p0
#define     same(p1,p2)               ( dp(  vec(p1,p2),vec(p1,p2)) < eps )
#define     point                    complex<long double>
#define     PI                       acos(-1)
typedef  long long     ll ;
typedef  unsigned long long ull;
const double eps= (1e-15);
using namespace std;
int dcmp(double a,double b){   return fabs(a-b)<=eps ? 0: (a>b)? 1:-1  ;}
int getBit(ll num, int idx) {return ((num >> idx) & 1ll) == 1;}
int setBit1(int num, int idx) {return num | (1<<idx);}
ll setBit0(ll num, int idx) {return num & ~(1ll<<idx);}
ll flipBit(ll num, int idx) {return num ^ (1ll<<idx);}
void run(){ ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);}
int countNumBit1(int mask) {int ret=0; while (mask) 	{mask &= (mask-1);++ret;	}return ret;}
const int N=40+9,mod=998244353,sh=1000000,inf=100000;
string a,b;
int vis[2][30];
int main(){
    run();
    int T=1;
    cin>>T;
    while(T--){
        ll d,k;
        cin>>d>>k;
        ll p=0,q=0;
        int fl=0,cnt=0;
        while(1){
            if(fl==0){
                if((p+k)*(p+k)+q*q<=d*d){
                    p+=k;
                    cnt++;
                }
                else{
                    break;
                }
            }
            else{
                if((p)*(p)+(q+k)*(q+k)<=d*d){
                    q+=k;
                    cnt++;
                }
                else{
                    break;
                }
            }
            fl=!fl;

        }

        if(cnt%2==0){
            cout<<"Utkarsh\n";
        }
        else{
            cout<<"Ashish\n";
        }
    }

}






































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































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