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>
def A(d,k,c):
	return c+k
def U(d,k,c):
	return c+k
def winner(d,k):
	coord = [0,0]
	cod_a = 0
	cod_u = 0
	p,q = 0,0
	player = 0
	while True:
		
		if player == 0:
			temp = A(d,k,coord[cod_a])
			coord[cod_a] = temp
			if (coord[0]**2 + coord[1]**2) <= d**2:
				if cod_a == 1:
					cod_a = 0
				else:
					cod_a = 1
			else:
				return 1
				break
		else:
			temp = U(d,k,coord[cod_u])
			coord[cod_u] = temp
			if (coord[0]**2 + coord[1]**2) <= d**2:
				if cod_u == 1:
					cod_u = 0
				else:
					cod_u = 1
			else:
				return 0
				break 
		if player == 0:
			player = 1
		else:
			player = 0





def main():
	t = int(input())
	for k in range(t):
		test = list(map(int,input().split()))
		res = winner(test[0],test[1])
		if res == 0:
			print('Ashish')
		else:
			print('Utkarsh')
main()