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 sys
from math import gcd,sqrt,ceil,log2
from collections import defaultdict,Counter,deque
from bisect import bisect_left,bisect_right
import math
sys.setrecursionlimit(2*10**5+10)
import heapq
from itertools import permutations

# input=sys.stdin.readline
# def print(x):
#     sys.stdout.write(str(x)+"\n")

# sys.stdin = open('input.txt', 'r')
# sys.stdout = open('output.txt', 'w')
import os
import sys
from io import BytesIO, IOBase

BUFSIZE = 8192

aa='abcdefghijklmnopqrstuvwxyz'
class FastIO(IOBase):
    newlines = 0

    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None

    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()

    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)


class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")


sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")

# import sys
# import io, os
# input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
def get_sum(bit,i):
    s = 0

    i+=1
    while i>0:
        s+=bit[i]
        i-=i&(-i)

    return s

def update(bit,n,i,v):
    i+=1

    while i<=n:
        bit[i]+=v
        i+=i&(-i)


def modInverse(b,m):
    g = math.gcd(b, m)
    if (g != 1):
        return -1
    else:
        return pow(b, m - 2, m)

def primeFactors(n):

    sa = []
    # sa.add(n)
    while n % 2 == 0:
        sa.append(2)
        n = n // 2


    for i in range(3,int(math.sqrt(n))+1,2):


        while n % i== 0:
            sa.append(i)
            n = n // i

    # sa.add(n)
    if n > 2:
        sa.append(n)
    return sa


def seive(n):

    pri = [True]*(n+1)
    p = 2
    while p*p<=n:

        if pri[p] == True:

            for i in range(p*p,n+1,p):
                pri[i] = False

        p+=1

    return pri

def check_prim(n):

    if n<0:
        return False
    for i in range(2,int(sqrt(n))+1):
        if n%i == 0:
            return False

    return True


def getZarr(string, z):
    n = len(string)

    # [L,R] make a window which matches
    # with prefix of s
    l, r, k = 0, 0, 0
    for i in range(1, n):

        # if i>R nothing matches so we will calculate.
        # Z[i] using naive way.
        if i > r:
            l, r = i, i

            # R-L = 0 in starting, so it will start
            # checking from 0'th index. For example,
            # for "ababab" and i = 1, the value of R
            # remains 0 and Z[i] becomes 0. For string
            # "aaaaaa" and i = 1, Z[i] and R become 5
            while r < n and string[r - l] == string[r]:
                r += 1
            z[i] = r - l
            r -= 1
        else:

            # k = i-L so k corresponds to number which
            # matches in [L,R] interval.
            k = i - l

            # if Z[k] is less than remaining interval
            # then Z[i] will be equal to Z[k].
            # For example, str = "ababab", i = 3, R = 5
            # and L = 2
            if z[k] < r - i + 1:
                z[i] = z[k]

                # For example str = "aaaaaa" and i = 2,
            # R is 5, L is 0
            else:

                # else start from R and check manually
                l = i
                while r < n and string[r - l] == string[r]:
                    r += 1
                z[i] = r - l
                r -= 1

def search(text, pattern):

    # Create concatenated string "P$T"
    concat = pattern + "$" + text
    l = len(concat)


    z = [0] * l
    getZarr(concat, z)

    ha = []
    for i in range(l):


        if z[i] == len(pattern):
            ha.append(i - len(pattern) - 1)


    return ha


# n,k = map(int,input().split())
# l = list(map(int,input().split()))

#
# n = int(input())
# l = list(map(int,input().split()))
#
# hash = defaultdict(list)
# la = []
#
# for i in range(n):
#     la.append([l[i],i+1])
#
# la.sort(key = lambda x: (x[0],-x[1]))
# ans = []
# r = n
# flag = 0
# lo = []
# ha = [i for i in range(n,0,-1)]
# yo = []
# for a,b in la:
#
#    if a == 1:
#        ans.append([r,b])
#        # hash[(1,1)].append([b,r])
#        lo.append((r,b))
#        ha.pop(0)
#        yo.append([r,b])
#        r-=1
#
#    elif a == 2:
#        # print(yo,lo)
#        # print(hash[1,1])
#        if lo == []:
#            flag = 1
#            break
#        c,d = lo.pop(0)
#        yo.pop(0)
#        if b>=d:
#            flag = 1
#            break
#        ans.append([c,b])
#        yo.append([c,b])
#
#
#
#    elif a == 3:
#
#            if yo == []:
#                flag = 1
#                break
#            c,d = yo.pop(0)
#            if b>=d:
#                flag = 1
#                break
#            if ha == []:
#                flag = 1
#                break
#
#            ka = ha.pop(0)
#
#            ans.append([ka,b])
#            ans.append([ka,d])
#            yo.append([ka,b])
#
# if flag:
#     print(-1)
# else:
#     print(len(ans))
#     for a,b in ans:
#         print(a,b)
def mergeIntervals(arr):

    # Sorting based on the increasing order
    # of the start intervals
    arr.sort(key = lambda x: x[0])

    # array to hold the merged intervals
    m = []
    s = -10000
    max = -100000
    for i in range(len(arr)):
        a = arr[i]
        if a[0] > max:
            if i != 0:
                m.append([s,max])
            max = a[1]
            s = a[0]
        else:
            if a[1] >= max:
                max = a[1]

    #'max' value gives the last point of
    # that particular interval
    # 's' gives the starting point of that interval
    # 'm' array contains the list of all merged intervals

    if max != -100000 and [s, max] not in m:
        m.append([s, max])
    return m
class SortedList:
    def __init__(self, iterable=[], _load=200):
        """Initialize sorted list instance."""
        values = sorted(iterable)
        self._len = _len = len(values)
        self._load = _load
        self._lists = _lists = [values[i:i + _load] for i in range(0, _len, _load)]
        self._list_lens = [len(_list) for _list in _lists]
        self._mins = [_list[0] for _list in _lists]
        self._fen_tree = []
        self._rebuild = True

    def _fen_build(self):
        """Build a fenwick tree instance."""
        self._fen_tree[:] = self._list_lens
        _fen_tree = self._fen_tree
        for i in range(len(_fen_tree)):
            if i | i + 1 < len(_fen_tree):
                _fen_tree[i | i + 1] += _fen_tree[i]
        self._rebuild = False

    def _fen_update(self, index, value):
        """Update `fen_tree[index] += value`."""
        if not self._rebuild:
            _fen_tree = self._fen_tree
            while index < len(_fen_tree):
                _fen_tree[index] += value
                index |= index + 1

    def _fen_query(self, end):
        """Return `sum(_fen_tree[:end])`."""
        if self._rebuild:
            self._fen_build()

        _fen_tree = self._fen_tree
        x = 0
        while end:
            x += _fen_tree[end - 1]
            end &= end - 1
        return x

    def _fen_findkth(self, k):
        """Return a pair of (the largest `idx` such that `sum(_fen_tree[:idx]) <= k`, `k - sum(_fen_tree[:idx])`)."""
        _list_lens = self._list_lens
        if k < _list_lens[0]:
            return 0, k
        if k >= self._len - _list_lens[-1]:
            return len(_list_lens) - 1, k + _list_lens[-1] - self._len
        if self._rebuild:
            self._fen_build()

        _fen_tree = self._fen_tree
        idx = -1
        for d in reversed(range(len(_fen_tree).bit_length())):
            right_idx = idx + (1 << d)
            if right_idx < len(_fen_tree) and k >= _fen_tree[right_idx]:
                idx = right_idx
                k -= _fen_tree[idx]
        return idx + 1, k

    def _delete(self, pos, idx):
        """Delete value at the given `(pos, idx)`."""
        _lists = self._lists
        _mins = self._mins
        _list_lens = self._list_lens

        self._len -= 1
        self._fen_update(pos, -1)
        del _lists[pos][idx]
        _list_lens[pos] -= 1

        if _list_lens[pos]:
            _mins[pos] = _lists[pos][0]
        else:
            del _lists[pos]
            del _list_lens[pos]
            del _mins[pos]
            self._rebuild = True

    def _loc_left(self, value):
        """Return an index pair that corresponds to the first position of `value` in the sorted list."""
        if not self._len:
            return 0, 0

        _lists = self._lists
        _mins = self._mins

        lo, pos = -1, len(_lists) - 1
        while lo + 1 < pos:
            mi = (lo + pos) >> 1
            if value <= _mins[mi]:
                pos = mi
            else:
                lo = mi

        if pos and value <= _lists[pos - 1][-1]:
            pos -= 1

        _list = _lists[pos]
        lo, idx = -1, len(_list)
        while lo + 1 < idx:
            mi = (lo + idx) >> 1
            if value <= _list[mi]:
                idx = mi
            else:
                lo = mi

        return pos, idx

    def _loc_right(self, value):
        """Return an index pair that corresponds to the last position of `value` in the sorted list."""
        if not self._len:
            return 0, 0

        _lists = self._lists
        _mins = self._mins

        pos, hi = 0, len(_lists)
        while pos + 1 < hi:
            mi = (pos + hi) >> 1
            if value < _mins[mi]:
                hi = mi
            else:
                pos = mi

        _list = _lists[pos]
        lo, idx = -1, len(_list)
        while lo + 1 < idx:
            mi = (lo + idx) >> 1
            if value < _list[mi]:
                idx = mi
            else:
                lo = mi

        return pos, idx

    def add(self, value):
        """Add `value` to sorted list."""
        _load = self._load
        _lists = self._lists
        _mins = self._mins
        _list_lens = self._list_lens

        self._len += 1
        if _lists:
            pos, idx = self._loc_right(value)
            self._fen_update(pos, 1)
            _list = _lists[pos]
            _list.insert(idx, value)
            _list_lens[pos] += 1
            _mins[pos] = _list[0]
            if _load + _load < len(_list):
                _lists.insert(pos + 1, _list[_load:])
                _list_lens.insert(pos + 1, len(_list) - _load)
                _mins.insert(pos + 1, _list[_load])
                _list_lens[pos] = _load
                del _list[_load:]
                self._rebuild = True
        else:
            _lists.append([value])
            _mins.append(value)
            _list_lens.append(1)
            self._rebuild = True

    def discard(self, value):
        """Remove `value` from sorted list if it is a member."""
        _lists = self._lists
        if _lists:
            pos, idx = self._loc_right(value)
            if idx and _lists[pos][idx - 1] == value:
                self._delete(pos, idx - 1)

    def remove(self, value):
        """Remove `value` from sorted list; `value` must be a member."""
        _len = self._len
        self.discard(value)
        if _len == self._len:
            raise ValueError('{0!r} not in list'.format(value))

    def pop(self, index=-1):
        """Remove and return value at `index` in sorted list."""
        pos, idx = self._fen_findkth(self._len + index if index < 0 else index)
        value = self._lists[pos][idx]
        self._delete(pos, idx)
        return value

    def bisect_left(self, value):
        """Return the first index to insert `value` in the sorted list."""
        pos, idx = self._loc_left(value)
        return self._fen_query(pos) + idx

    def bisect_right(self, value):
        """Return the last index to insert `value` in the sorted list."""
        pos, idx = self._loc_right(value)
        return self._fen_query(pos) + idx

    def count(self, value):
        """Return number of occurrences of `value` in the sorted list."""
        return self.bisect_right(value) - self.bisect_left(value)

    def __len__(self):
        """Return the size of the sorted list."""
        return self._len

    def __getitem__(self, index):
        """Lookup value at `index` in sorted list."""
        pos, idx = self._fen_findkth(self._len + index if index < 0 else index)
        return self._lists[pos][idx]

    def __delitem__(self, index):
        """Remove value at `index` from sorted list."""
        pos, idx = self._fen_findkth(self._len + index if index < 0 else index)
        self._delete(pos, idx)

    def __contains__(self, value):
        """Return true if `value` is an element of the sorted list."""
        _lists = self._lists
        if _lists:
            pos, idx = self._loc_left(value)
            return idx < len(_lists[pos]) and _lists[pos][idx] == value
        return False

    def __iter__(self):
        """Return an iterator over the sorted list."""
        return (value for _list in self._lists for value in _list)

    def __reversed__(self):
        """Return a reverse iterator over the sorted list."""
        return (value for _list in reversed(self._lists) for value in reversed(_list))

    def __repr__(self):
        """Return string representation of sorted list."""
        return 'SortedList({0})'.format(list(self))

def ncr(n, r, p):

    num = den = 1
    for i in range(r):
        num = (num * (n - i)) % p
        den = (den * (i + 1)) % p
    return (num * pow(den,
                      p - 2, p)) % p


def sol(n):

    seti = set()
    for i in range(1,int(sqrt(n))+1):
        if n%i == 0:
            seti.add(n//i)
            seti.add(i)


    return seti
def lcm(a,b):

    return (a*b)//gcd(a,b)





#
# n,p = map(int,input().split())
#
# s = input()
#
# if n <=2:
#     if n == 1:
#         pass
#     if n == 2:
#         pass
# i = n-1
# idx = -1
# while i>=0:
#     z = ord(s[i])-96
#     k = chr(z+1+96)
#     flag = 1
#     if i-1>=0:
#         if s[i-1]!=k:
#             flag+=1
#     else:
#             flag+=1
#     if i-2>=0:
#         if s[i-2]!=k:
#             flag+=1
#     else:
#         flag+=1
#     if flag == 2:
#         idx = i
#         s[i] = k
#         break
# if idx == -1:
#     print('NO')
#     exit()
# for i in range(idx+1,n):
#     if
#

def moore_voting(l):

    count1 = 0
    count2 = 0
    first = 10**18
    second = 10**18
    n = len(l)
    for i in range(n):

        if l[i] == first:
            count1+=1
        elif l[i] == second:
            count2+=1

        elif count1 == 0:
            count1+=1
            first = l[i]

        elif count2 == 0:
            count2+=1
            second = l[i]
        else:
            count1-=1
            count2-=1

    for i in range(n):
        if l[i] == first:
            count1+=1
        elif l[i] == second:
            count2+=1
    if count1>n//3:
        return first
    if count2>n//3:
        return second

    return -1





def find_parent(u,parent):

    if u!=parent[u]:
        parent[u] = find_parent(parent[u],parent)

    return parent[u]






def dis_union(n):


    par = [i for i in range(n+1)]
    rank = [1]*(n+1)
    k = int(input())
    for i in range(k):
        a,b = map(int,input().split())
        z1,z2 = find_parent(a,par),find_parent(b,par)
        if z1!=z2:
            par[z1] = z2
            rank[z2]+=rank[z1]


def dijkstra(n,tot,hash):


    hea = [[0,n]]
    dis = [10**18]*(tot+1)
    dis[n] = 0
    boo = defaultdict(bool)
    check = defaultdict(int)
    while hea:
        a,b = heapq.heappop(hea)

        if boo[b]:
            continue

        boo[b] = True

        for i,w in hash[b]:
            if b == 1:
              c = 0
              if (1,i,w) in nodes:
                 c = nodes[(1,i,w)]
                 del nodes[(1,i,w)]

              if dis[b]+w<dis[i]:
                dis[i] = dis[b]+w

                check[i] = c

              elif dis[b]+w == dis[i] and c == 0:
                  dis[i] = dis[b]+w
                  check[i] = c

            else:

                if dis[b]+w<=dis[i]:
                    dis[i] = dis[b]+w
                    check[i] = check[b]



            heapq.heappush(hea,[dis[i],i])

    return check

def power(x,y,p):

    res = 1
    x = x%p
    if x == 0:
        return 0

    while y>0:

        if (y&1) == 1:
            res*=x

        x = x*x
        y = y>>1

    return res
#
# n,m = map(int,input().split())
# hash = defaultdict(list)
# ans = set()
# cur = 2
# rest = []
# now = []
# ba = []
# ho = defaultdict(bool)
# for i in range(m):
#     a,b = map(int,input().split())
#     ba.append(a)
#     if b == 1:
#         ans.add((a,1,cur))
#         now.append([a,1,cur])
#         ho[(1,cur)] = True
#         ho[(cur,1)] = True
#         cur+=1
#
#
#     else:
#         rest.append(a)
# ha = n-1
#
#
# rest.sort()
# # print(now)
# inf = -10**18
# i = 0
# cur = 2
# while ha!=m:
#     if rest == []:
#         break
#     yo = cur+1
#     while yo<=n:
#
#         x1,x2 =
#
#
#
# hash = defaultdict(list)
#
# for a,b,c in ans:
#     hash[a].append((b,c))
# yo = []
# for a in ba:
#     while hash[a]!=[]:
#         c,d = hash[a].pop(0)
#         yo.append((c,d))
#
# for a,b in yo:
#     print(a,b)

def fun(x):
    z1 = ceil(x/2)
    z2 = x//2
    if (k**2)*(z1**2 + z2**2)<=d**2:
        return True
    return False



t = int(input())

for _ in range(t):


    d,k = map(int,input().split())
    x = int(sqrt(2)*(d/k))
    x1 = x+1

    if x%2 == 0:
        a = fun(x1)
        if a == True:
            print('Ashish')
        else:
            print('Utkarsh')
    else:
        print('Ashish')




