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.
# Author : devil9614 - Sujan Mukherjee

from __future__ import division, print_function

import os,sys
import math
import collections
from itertools import permutations
from io import BytesIO, IOBase

if sys.version_info[0] < 3:
    from __builtin__ import xrange as range
    from future_builtins import ascii, filter, hex, map, oct, zip
class my_dictionary(dict):
    def __init__(self):
        self = dict()
    def add(self,key,value):
        self[key] = value


def ii(): return int(input())
def si(): return input()
def mi(): return map(int,input().strip().split(" "))
def msi(): return map(str,input().strip().split(" "))
def li(): return list(mi())

def dmain():
    sys.setrecursionlimit(100000000)
    threading.stack_size(40960000)
    thread = threading.Thread(target=main)
    thread.start()
    
#from collections import deque, Counter, OrderedDict,defaultdict
#from heapq import nsmallest, nlargest, heapify,heappop ,heappush, heapreplace
#from math import log,sqrt,factorial
#from bisect import bisect,bisect_left,bisect_right,insort,insort_left,insort_right
#from decimal import *,threading
#from itertools import permutations
#Copy 2D list  m = [x[:] for x in mark] .. Avoid Using Deepcopy

abc='abcdefghijklmnopqrstuvwxyz'
abd={'a': 0, 'b': 1, 'c': 2, 'd': 3, 'e': 4, 'f': 5, 'g': 6, 'h': 7, 'i': 8, 'j': 9, 'k': 10, 'l': 11, 'm': 12, 'n': 13, 'o': 14, 'p': 15, 'q': 16, 'r': 17, 's': 18, 't': 19, 'u': 20, 'v': 21, 'w': 22, 'x': 23, 'y': 24, 'z': 25}
mod=1000000007
#mod=998244353
inf = float("inf")
vow=['a','e','i','o','u']
dx,dy=[-1,1,0,0],[0,0,1,-1]
def getKey(item): return item[1] 
def sort2(l):return sorted(l, key=getKey,reverse=True)
def d2(n,m,num):return [[num for x in range(m)] for y in range(n)]
def isPowerOfTwo (x): return (x and (not(x & (x - 1))) )
def decimalToBinary(n): return bin(n).replace("0b","")
def ntl(n):return [int(i) for i in str(n)]
def ncr(n,r): return factorial(n)//(factorial(r)*factorial(n-r))
def binary_search(arr, low, high, x): 
    if high >= low: 
  
        mid = (high + low) // 2
        if arr[mid] == x: 
            return mid 
        elif arr[mid] > x: 
            return binary_search(arr, low, mid - 1, x) 
  
        else: 
            return binary_search(arr, mid + 1, high, x) 
  
    else: 
        return -1
def ceil(x,y):
    if x%y==0:
        return x//y
    else:
        return x//y+1

def powerMod(x,y,p):
    res = 1
    x %= p
    while y > 0:
        if y&1:
            res = (res*x)%p
        y = y>>1
        x = (x*x)%p
    return res

def gcd(x, y):
    while y:
        x, y = y, x % y
    return x
    
def isPrime(n) : # Check Prime Number or not 
    if (n <= 1) : return False
    if (n <= 3) : return True
    if (n % 2 == 0 or n % 3 == 0) : return False
    i = 5
    while(i * i <= n) : 
        if (n % i == 0 or n % (i + 2) == 0) : 
            return False
        i = i + 6
    return True



def read():
    sys.stdin = open('input.txt', 'r')  
    sys.stdout = open('output.txt', 'w') 

def padded_bin_with_complement(x):
    if x < 0:
        return bin((2**16) - abs(x))[2:].zfill(16)
    else:
        return bin(x)[2:].zfill(16)
def binaryToDecimal(binary): 
      
    binary1 = binary 
    decimal, i, n = 0, 0, 0
    while(binary != 0): 
        dec = binary % 10
        decimal = decimal + dec * pow(2, i) 
        binary = binary//10
        i += 1
    print(decimal) 
def CountFrequency(my_list): 
    freq = {} 
    for item in my_list: 
        if (item in freq): 
            freq[item] += 1
        else: 
            freq[item] = 1
  
    return freq 
def pos(a):
    b = [0]*len(a)
    c = sorted(a)
    for i in range(len(a)):
        for j in range(len(a)):
            if c[j] == a[i]:
                b[i] = j
                break
    return b
def smallestDivisor(n): 
  
    # if divisible by 2 
    if (n % 2 == 0): 
        return 2
  
    # iterate from 3 to sqrt(n) 
    i = 3  
    while(i * i <= n): 
        if (n % i == 0): 
            return i 
        i += 2 
  
    return n
def commonn(a,b,n):
    c = []
    for i in range(n):
        if a[i] == b[i]:
            c.append("-1")
        else:
            c.append(b[i])
    return c


def primeFactors(n): 
    j = []
    while n % 2 == 0: 
        j.append(2) 
        n = n / 2
    
    for i in range(3,int(math.sqrt(n))+1,2): 
          
        # while i divides n , print i ad divide n 
        while n % i== 0: 
            j.append(int(n)) 
            n = n / i 
              
    if n > 2: 
        j.append(int(n))
    return j
def sumdigit(n):
    n = str(n)
    k = 0
    for i in range(len(n)):
        k+=int(n[i])
    return k

def question(a,n):
    j = a
    for i in range(n):
        if a[i] == "1":
            j[i] = "0"
        else:
            j[i] = "1"
    j[0,n-1].reverse()
    return j

def main():
    
    for _ in range(ii()):
        n = ii()
        a = li()
        a.sort()
        f = 1
        for i in range(n-1):
            if abs(a[i]-a[i+1]) > 1:
                f = 0
                break
        if f:
            print("YES")
        else:
            print("NO")







                                

# region fastio
# template taken from https://github.com/cheran-senthil/PyRival/blob/master/templates/template.py

BUFSIZE = 8192


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")


def print(*args, **kwargs):
    """Prints the values to a stream, or to sys.stdout by default."""
    sep, file = kwargs.pop("sep", " "), kwargs.pop("file", sys.stdout)
    at_start = True
    for x in args:
        if not at_start:
            file.write(sep)
        file.write(str(x))
        at_start = False
    file.write(kwargs.pop("end", "\n"))
    if kwargs.pop("flush", False):
        file.flush()


if sys.version_info[0] < 3:
    sys.stdin, sys.stdout = FastIO(sys.stdin), FastIO(sys.stdout)
else:
    sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)

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

# endregion


if __name__ == "__main__":
    #read()
    main()