You are given the array a consisting of n positive (greater than zero) integers.

In one move, you can choose two indices i and j (i ≠ j) such that the absolute difference between a_i and a_j is no more than one (|a_i - a_j| ≤ 1) and remove the smallest of these two elements. If two elements are equal, you can remove any of them (but exactly one).

Your task is to find if it is possible to obtain the array consisting of only one element using several (possibly, zero) such moves or not.

You have to answer t independent test cases.

Input

The first line of the input contains one integer t (1 ≤ t ≤ 1000) — the number of test cases. Then t test cases follow.

The first line of the test case contains one integer n (1 ≤ n ≤ 50) — the length of a. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100), where a_i is the i-th element of a.

Output

For each test case, print the answer: "YES" if it is possible to obtain the array consisting of only one element using several (possibly, zero) moves described in the problem statement, or "NO" otherwise.

Example

Input


5
3
1 2 2
4
5 5 5 5
3
1 2 4
4
1 3 4 4
1
100


Output


YES
YES
NO
NO
YES

Note

In the first test case of the example, we can perform the following sequence of moves:

  * choose i=1 and j=3 and remove a_i (so a becomes [2; 2]); 
  * choose i=1 and j=2 and remove a_j (so a becomes [2]). 



In the second test case of the example, we can choose any possible i and j any move and it doesn't matter which element we remove.

In the third test case of the example, there is no way to get rid of 2 and 4.
from sys import stdin
from collections import deque
# https://codeforces.com/contest/1354/status/D
mod = 10**9 + 7
import sys
import random
sys.setrecursionlimit(10**6)
from queue import PriorityQueue
from collections import Counter as cc
# def rl():
#     return [int(w) for w in stdin.readline().split()]
from bisect import bisect_right
from bisect import bisect_left
from collections import defaultdict
from math import sqrt,factorial,gcd,log2,inf,ceil
# map(int,input().split())
# # l = list(map(int,input().split()))
# from itertools import permutations
import heapq
# input = lambda: sys.stdin.readline().rstrip()
input = lambda : sys.stdin.readline().rstrip()
from sys import stdin, stdout
from heapq import heapify, heappush, heappop
from itertools import permutations
from math import factorial as f

# def ncr(x, y):
#     return f(x) // (f(y) * f(x - y))
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

import sys

# input = sys.stdin.readline
# LCA
# def bfs(na):
#
#     queue = [na]
#     boo[na] = True
#     level[na] = 0
#
#     while queue!=[]:
#
#         z = queue.pop(0)
#
#         for i in hash[z]:
#
#             if not boo[i]:
#
#                 queue.append(i)
#                 level[i] = level[z] + 1
#                 boo[i] = True
#                 dp[i][0] = z
#
#
#
# def prec(n):
#
#     for i in range(1,20):
#
#         for j in range(1,n+1):
#             if dp[j][i-1]!=-1:
#                 dp[j][i] = dp[dp[j][i-1]][i-1]
#
#
# def lca(u,v):
#     if level[v] < level[u]:
#         u,v = v,u
#
#     diff = level[v] - level[u]
#
#
#     for i in range(20):
#         if ((diff>>i)&1):
#             v = dp[v][i]
#
#
#     if u == v:
#         return u
#
#
#     for i in range(19,-1,-1):
#         # print(i)
#         if dp[u][i] != dp[v][i]:
#
#             u = dp[u][i]
#             v = dp[v][i]
#
#
#     return dp[u][0]
#
# dp = []
#
#
# n = int(input())
#
# for i in range(n + 10):
#
#     ka = [-1]*(20)
#     dp.append(ka)


# class FenwickTree:
#     def __init__(self, x):
#         """transform list into BIT"""
#         self.bit = x
#         for i in range(len(x)):
#             j = i | (i + 1)
#             if j < len(x):
#                 x[j] += x[i]
#
#     def update(self, idx, x):
#         """updates bit[idx] += x"""
#         while idx < len(self.bit):
#             self.bit[idx] += x
#             idx |= idx + 1
#
#     def query(self, end):
#         """calc sum(bit[:end])"""
#         x = 0
#         while end:
#             x += self.bit[end - 1]
#             end &= end - 1
#         return x
#
#     def find_kth_smallest(self, k):
#         """Find largest idx such that sum(bit[:idx]) <= k"""
#         idx = -1
#         for d in reversed(range(len(self.bit).bit_length())):
#             right_idx = idx + (1 << d)
#             if right_idx < len(self.bit) and k >= self.bit[right_idx]:
#                 idx = right_idx
#                 k -= self.bit[idx]
#         return idx + 1



# import sys
# def rs(): return sys.stdin.readline().strip()
# def ri(): return int(sys.stdin.readline())
# def ria(): return list(map(int, sys.stdin.readline().split()))
# def prn(n): sys.stdout.write(str(n))
# def pia(a): sys.stdout.write(' '.join([str(s) for s in a]))
#
#
# import gc, os
#
# ii = 0
# _inp = b''
#
#
# def getchar():
#     global ii, _inp
#     if ii >= len(_inp):
#         _inp = os.read(0, 100000)
#         gc.collect()
#         ii = 0
#     if not _inp:
#         return b' '[0]
#     ii += 1
#     return _inp[ii - 1]
#
#
# def input():
#     c = getchar()
#     if c == b'-'[0]:
#         x = 0
#         sign = 1
#     else:
#         x = c - b'0'[0]
#         sign = 0
#     c = getchar()
#     while c >= b'0'[0]:
#         x = 10 * x + c - b'0'[0]
#         c = getchar()
#     if c == b'\r'[0]:
#         getchar()
#     return -x if sign else x

# fenwick Tree

# n,q = map(int,input().split())
#
#
# l1 = list(map(int,input().split()))
#
# l2 = list(map(int,input().split()))
#
# bit = [0]*(10**6 + 1)
#
# def update(i,add,bit):
#
#     while i>0 and i<len(bit):
#
#         bit[i]+=add
#         i = i + (i&(-i))
#
#
# def sum(i,bit):
#     ans = 0
#     while i>0:
#
#         ans+=bit[i]
#         i = i - (i & ( -i))
#
#
#     return ans
#
# def find_smallest(k,bit):
#
#     l = 0
#     h = len(bit)
#     while l<h:
#
#         mid = (l+h)//2
#         if k <= sum(mid,bit):
#             h = mid
#         else:
#             l = mid + 1
#
#
#     return l
#
#
# def insert(x,bit):
#     update(x,1,bit)
#
# def delete(x,bit):
#     update(x,-1,bit)
# fa = set()
#
# for i in l1:
#     insert(i,bit)
#
#
# for i in l2:
#     if i>0:
#         insert(i,bit)
#
#     else:
#         z = find_smallest(-i,bit)
#
#         delete(z,bit)
#
#
# # print(bit)
# if len(set(bit)) == 1:
#     print(0)
# else:
#     for i in range(1,n+1):
#         z = find_smallest(i,bit)
#         if z!=0:
#             print(z)
#             break
#

# service time problem


# def solve2(s,a,b,hash,z,cnt):
#     temp = cnt.copy()
#     x,y = hash[a],hash[b]
#     i = 0
#     j = len(s)-1
#
#     while z:
#
#         if s[j] - y>=x-s[i]:
#             if temp[s[j]]-1 == 0:
#                 j-=1
#             temp[s[j]]-=1
#             z-=1
#
#
#         else:
#             if temp[s[i]]-1 == 0:
#                 i+=1
#
#             temp[s[i]]-=1
#             z-=1
#
#     return s[i:j+1]
#
#
#
#
#
# def solve1(l,s,posn,z,hash):
#
#     ans = []
#     for i in l:
#         a,b = i
#         ka = solve2(s,a,b,posn,z,hash)
#         ans.append(ka)
#
#         return ans
#
# def consistent(input, window, min_entries, max_entries, tolerance):
#
#     l = input
#     n = len(l)
#     l.sort()
#     s = list(set(l))
#     s.sort()
#
#     if min_entries<=n<=max_entries:
#
#         if s[-1] - s[0]<window:
#             return True
#         hash = defaultdict(int)
#         posn = defaultdict(int)
#         for i in l:
#             hash[i]+=1
#
#         z = (tolerance*(n))//100
#         poss_window = set()
#
#
#         for i in range(len(s)):
#                 posn[i] = l[i]
#                 for j in range(i+1,len(s)):
#                     if s[j]-s[i] == window:
#                         poss_window.add((s[i],s[j]))
#
#         if poss_window!=set():
#             print(poss_window)
#             ans = solve1(poss_window,s,posn,z,hash)
#             print(ans)
#
#
#         else:
#             pass
#
#     else:
#         return False
#
#
#
#
# l = list(map(int,input().split()))
#
# min_ent,max_ent = map(int,input().split())
# w = int(input())
# tol = int(input())
# consistent(l, w, min_ent, max_ent, tol)

# t = int(input())
#
# for i in range(t):
#
#     n,x = map(int,input().split())
#
#     l = list(map(int,input().split()))
#
#     e,o = 0,0
#
#     for i in l:
#         if i%2 == 0:
#             e+=1
#         else:
#             o+=1
#
#     if e+o>=x and o!=0:
#         z = e+o - x
#         if z == 0:
#             if o%2 == 0:
#                 print('No')
#             else:
#                 print('Yes')
#             continue
#         if o%2 == 0:
#             o-=1
#             z-=1
#             if e>=z:
#                 print('Yes')
#             else:
#                 z-=e
#                 o-=z
#                 if o%2!=0:
#                     print('Yes')
#                 else:
#                     print('No')
#
#         else:
#
#             if e>=z:
#                 print('Yes')
#             else:
#                 z-=e
#                 o-=z
#                 if o%2!=0:
#                     print('Yes')
#                 else:
#                     print('No')
#     else:
#         print('No')
#
#
#
#
#
#
#
# def dfs(n):
#     boo[n] = True
#     dp2[n] = 1
#     for i in hash[n]:
#         if not boo[i]:
#
#             dfs(i)
#             dp2[n] += dp2[i]






































#
#
# n = int(input())
# x = 0
# l = list(map(int,input().split()))
# for i in range(n):
#
#      x = l[i]|x
#
# z = list(bin(x)[2:])
# ha = z.copy()
# k = z.count('1')
# ans = 0
# # print(z)
# cnt = 0
# for i in range(20):
#
#
#         maxi = 0
#         idx = -1
#
#         for j in range(n):
#             k = bin(l[j])[2:]
#             k = '0'*(len(z) -len(k)) + k
#             cnt = 0
#             for i in range(len(z)):
#                 if k[i] == z[i] == '1':
#                     cnt+=1
#
#             maxi = max(maxi,cnt)
#             if maxi == cnt:
#                 idx = j
#         if idx!=-1:
#
#             k = bin(l[idx])[2:]
#             k = '0'*(len(z) -len(k)) + k
#
#             for i in range(len(z)):
#                 if k[i] == z[i] == '1':
#                     z[i] = '0'
#             l[idx] = 0
#
#
# ans = 0
# for i in range(len(z)):
#     if z[i] == '0' and ha[i] == '1':
#         ans+=1
# flip = 0
# for i in range(ans):
#     flip+=2**i
#
#
#
# print(flip)

# def search(k,l,low):
#
#     high = len(l)-1
#     z = bisect_left(l,k,low,high)
#
#     return z
#
#
#
#
#
#
# n,x = map(int,input().split())
#
# l = list(map(int,input().split()))
#
# prefix = [0]
# ha = [0]
# for i in l:
#     prefix.append(i + prefix[-1])
#     ha.append((i*(i+1))//2 + ha[-1])
# fin = 0
# print(prefix)
# for i in range(n):
#     ans = 0
#     if l[i]<x:
#
#
#         if prefix[-1]-prefix[i]>=x:
#
#             z = search(x+prefix[i],prefix,i+1)
#             print(z)
#             z+=i+1
#             k1 = x-(prefix[z-1]-prefix[i])
#             ans+=ha[z-1]
#             ans+=(k1*(k1+1))//2
#
#
#         else:
#             z1 = x - (prefix[-1]-prefix[i])
#             z = search(z1,prefix,1)
#
#             k1 = x-prefix[z-1]
#             ans+=ha[z-1]
#             ans+=(k1*(k1+1))//2
#
#
#
#
#     elif l[i]>x:
#         z1 = ((l[i])*(l[i]+1))//2
#         z2 = ((l[i]-x)*(l[i]-x+1))//2
#         ans+=z1-z2
#     else:
#         ans+=(x*(x+1))//2





# t = int(input())
#
# for _ in range(t):
#
#     s = list(input())
#     ans = [s[0]]
#
#     for i in range(1,len(s)-1,2):
#         ans.append(s[i])
#
#     ans.append(s[-1])
#     print(''.join(ans))
#
#
#
# t = int(input())
#
# for _ in range(t):
#
#     n = int(input())
#     l = list(map(int,input().split()))
#     ans = 0
#     for i in range(n):
#         if l[i]%2!=i%2:
#             ans+=1
#
#     if ans%2 == 0:
#         print(ans//2)
#     else:
#        print(-1)


# t = int(input())
#
# for _ in range(t):
#
#     n,k = map(int,input().split())
#     s = input()
#
#
#     ans = 0
#     ba = []
#     for i in range(n):
#         if s[i] == '1':
#             ba.append(i)
#     if ba == []:
#         for i in range(0,n,k+1):
#             ans+=1
#
#         print(ans)
#         continue
#
#     i = s.index('1')
#     c = 0
#     for x in range(i-1,-1,-1):
#         if c == k:
#             c = 0
#             ans+=1
#         else:
#             c+=1
#
#
#     while i<len(s):
#         count = 0
#         dis = 0
#         while s[i] == '0':
#             dis+=1
#             if dis == k:
#                 dis = 0
#                 count+=1
#             if dis<k and s[i] == '1':
#                 count-=1
#                 break
#             i+=1
#             if i == n:
#                 break
#         i+=1
#
#     print(ans)
#
#
#
#

# q1

# def poss1(x):
#     cnt = 1
#     mini = inf
#     for i in l:
#         if cnt%2 != 0:
#           cnt+=1
#         else:
#             if i<=x:
#                 cnt+=1
#                 mini = min()
#         if cnt  == k:
#             return
#
#     return -1
#
#
#
#
# def poss2(x):
#     cnt = 1
#     for i in l:
#         if cnt%2 == 0:
#             cnt+=1
#         else:
#             if i<=x:
#                 cnt+=1
#         if cnt  == k:
#             return
#
#     return -1
#
#
#
# n,k = map(int,input().split())
# l = list(map(int,input().split()))
#
# z1 = min(l)
# z2 = max(l)







# t = int(input())
#
# for _ in range(t):
#
#     n,k = map(int,input().split())
#     l = list(map(int,input().split()))
#
#     for i in range(n):
#         z = l[i]%k
#
#         if z!=0:
#
#             l[i] = k-z
#         else:
#             l[i] = 0
#
#     l.sort()
#     count = 0
#     ans = 0
#     x = 0
#     print(l)
#     for i in range(n):
#
#             z = l[i]
#             if z == 0:
#                 continue
#             if x>z:
#                 z2 = ceil((x-l[i])/k)
#                 z1 = l[i] + k*z2
#                 # print(x,z1)
#                 ans += z1-x + 1
#                 x = z1+1
#             elif z == x:
#                 ans+=1
#                 x+=1
#             else:
#
#                 ans += z-x + 1
#                 x = z+1
#             # print(i,x)
#             print(ans)
#
#
#
#     print(ans)


# t = int(input())
#
# for _ in range(t):
#
#     n = int(input())
#     seti = set()
#     ans = []
#     for i in range(1,1001):
#         if i not in seti:

# def dfs_cycle(u, p, color,
#               mark, par):
#     global cyclenumber
#
#     # already (completely) visited vertex.
#     if color[u] == 2:
#         return
#
#     # seen vertex, but was not
#     # completely visited -> cycle detected.
#     # backtrack based on parents to
#     # find the complete cycle.
#     if color[u] == 1:
#         cyclenumber += 1
#         cur = p
#         mark[cur] = cyclenumber
#
#         # backtrack the vertex which are
#         # in the current cycle thats found
#         while cur != u:
#             cur = par[cur]
#             mark[cur] = cyclenumber
#
#         return
#
#     par[u] = p
#
#     # partially visited.
#     color[u] = 1
#
#     # simple dfs on graph
#     for v in hash[u]:
#
#         # if it has not been visited previously
#         if v == par[u]:
#             continue
#         dfs_cycle(v, u, color, mark, par)
#
#         # completely visited.
#     color[u] = 2
#
# def printCycles(edges, mark):
#
#     # push the edges that into the
#     # cycle adjacency list
#     for i in range(1, edges + 1):
#         if mark[i] != 0:
#             cycles[mark[i]].append(i)
#
#             # print all the vertex with same cycle
#     for i in range(1, cyclenumber + 1):
#
#         # Print the i-th cycle
#         print("Cycle Number %d:" % i, end = " ")
#         for x in cycles[i]:
#             print(x, end = " ")
#         print()
#
# t = int(input())
#
# for _ in range(t):
#
#     n,m = map(int,input().split())
#
#     hash = defaultdict(list)
#     seti = set()
#     for i in range(m):
#
#         type,a,b = map(int,input().split())
#         hash[a].append(b)
#         hash[b].append(a)
#         if type == 1:
#             seti.add((a,b))
#
#     cycles = defaultdict(list)
#     color = defaultdict(int)
#     par = defaultdict(int)
#     mark = defaultdict(int)
#     cyclenumber = 0
#     dfs_cycle(1, 0, color, mark, par)
#     printCycles(m, mark)
#
#
#
#
#
#



































































































































































    # binary lifting Technique

# n = int(input())
# max_log = int(input())
# dp = []
# for i in range(n+1):
#     c = [0]*(max_log + 1)
#     dp.append(c)
# par = []
# for i in range(1,n+1):
#     for j in range(0,n+1):
#         if (1<<j)>n:
#             break
#         dp[i][j] = -1
#
# for i in range(1,n+1):
#     dp[i][0] = par[i]
#
# for j in range(1,n+1):
#     if (1<<j)>n:
#         break
#     for i in range(1,n+1):
#         if dp[i][j-1]!=-1:
#             dp[i][j] = dp[dp[i][j-1]][j-1]
#
# level = defaultdict(int)
# def lca(u,v):
#  if level[u] < level[v]:
#      u,v = v,u
#
#  dist = level[u] - level[v]
#  while dist>0:
#      raise_by = int(log2(dist))
#      u = dp[u][raise_by]
#      dist-=1<<raise_by
#
#  if u == v:
#      return u
#
#  for j in range(max_log,-1,-1):
#
#      if dp[u][j]!=-1 and dp[u][j]!=dp[v][j]:
#          u = dp[u][j]
#          v = dp[v][j]
#
#
#
#
#
#
#  return par[u]


# n = int(input())

# t = int(input())
#
# for _ in range(t):
#
#     n = int(input())
#     l = list(map(int,input().split()))
#     ans = ['']*(n+1)
#     cnt = 1
#     id = 99
#     for i in range(n-1):
#         a = l[i]
#         s1,s2 = ans[i],ans[i+1]
#         if a == 0:
#
#             ans[i] = chr((id)%97 + 97)*(cnt)
#             if id%97 == 0:
#                 cnt+=1
#             id+=1
#
#         elif s1 == 0:
#             ans[i],ans[i+1] = 'a'*a,'a'*a
#         elif len(s1)<=a:
#             ans[i] = s1 + 'a'*(a-len(s1))
#             ans[i+1] = ans[i]
#         else:
#             ans[i+1] = s1[:a]
#     a = l[-1]
#     s1 = ans[-2]
#
#     if a == 0:
#         ans[-2] =  chr((id+1)%97 + 97)*(cnt)
#         if id%97 == 0:
#             cnt+=1
#         id+=1
#         ans[-1] =  chr((id+1)%97 + 97)*(cnt)
#     elif len(s1)<=a:
#         ans[-2] = s1 + 'a'*(a-len(s1))
#         ans[-1] = ans[-2]
#     else:
#         ans[-1] = s1[:a]
#     for i in ans:
#         print(i)
#
#
#

# q1

# class Solution:
#     # @param A : string
#     # @param B : list of strings
#     # @return a list of strings
#     def wordBreak(self, A, B):



# count = 0
#
#
# for i in range(6,150):
#     for j in range(7,150):
#         for k in range(8,150):
#             for e in range(1,150):
#                 if i+j+k+e == 150:
#                     count+=1
#
# print(count)



t = int(input())

for _ in range(t):

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

    l.sort()
    if n == 1:
        print('YES')
        continue

    flag = 0
    for i in range(1,n):
        if l[i]-l[i-1]>1:
            flag = 1
            break

    if flag:
        print('NO')
    else:
        print('YES')






