You are given a sequence of n integers a_1,   a_2,   ...,   a_n.

Does there exist a sequence of n integers b_1,   b_2,   ...,   b_n such that the following property holds?

  * For each 1 ≤ i ≤ n, there exist two (not necessarily distinct) indices j and k (1 ≤ j,   k ≤ n) such that a_i = b_j - b_k. 

Input

The first line contains a single integer t (1 ≤ t ≤ 20) — the number of test cases. Then t test cases follow.

The first line of each test case contains one integer n (1 ≤ n ≤ 10).

The second line of each test case contains the n integers a_1,   ...,   a_n (-10^5 ≤ a_i ≤ 10^5).

Output

For each test case, output a line containing YES if a sequence b_1,   ...,   b_n satisfying the required property exists, and NO otherwise.

Example

Input


5
5
4 -7 -1 5 10
1
0
3
1 10 100
4
-3 2 10 2
9
25 -171 250 174 152 242 100 -205 -258


Output


YES
YES
NO
YES
YES

Note

In the first test case, the sequence b = [-9,   2,   1,   3,   -2] satisfies the property. Indeed, the following holds: 

  * a_1 = 4 = 2 - (-2) = b_2 - b_5; 
  * a_2 = -7 = -9 - (-2) = b_1 - b_5; 
  * a_3 = -1 = 1 - 2 = b_3 - b_2; 
  * a_4 = 5 = 3 - (-2) = b_4 - b_5; 
  * a_5 = 10 = 1 - (-9) = b_3 - b_1. 



In the second test case, it is sufficient to choose b = [0], since a_1 = 0 = 0 - 0 = b_1 - b_1.

In the third test case, it is possible to show that no sequence b of length 3 satisfies the property.
import random
import math
from collections import defaultdict
import itertools
from sys import stdin, stdout
import sys
import operator
from decimal import Decimal

# sys.setrecursionlimit(10**6)

p2D = lambda x: print(*x, sep="\n")


def II(): return int(sys.stdin.buffer.readline())


def MI(): return map(int, sys.stdin.buffer.readline().split())


def LI(): return list(map(int, sys.stdin.buffer.readline().split()))


def LLI(rows_number): return [LI() for _ in range(rows_number)]


def BI(): return sys.stdin.buffer.readline().rstrip()


def SI(): return sys.stdin.buffer.readline().rstrip().decode()


def li(): return [int(i) for i in input().split()]


def lli(rows): return [li() for _ in range(rows)]


def si(): return input()


def ii(): return int(input())


def ins(): return input().split()



def main():
    # z = ''
    # p = lambda *a: print(*a, flush = True)
    # mod = 10 ** 9 + 7
    for _ in range(ii()):
        n = ii()
        a = li()
        if 0 in a:
            print("YES")
        elif n == 1:
            print("NO")
        else:
            all_ta = []
            flag = 0
            for r in range(1,n+1):
                for c in itertools.combinations(a,r):
                    tmp = list(c)
                    ta = sum(tmp)
                    if ta == 0:
                        print("YES")
                        flag = 1
                        break
                    elif ta in all_ta:
                        print("YES")
                        flag = 1
                        break
                    else:
                        all_ta.append(ta)
                if flag ==1: break
            else:
                print("NO")






    #     z += str(ans) + '\n'
    # print(len(ans), ' '.join(map(str, ans)), sep='\n')
    # stdout.write(z)


# for interactive problems
# print("? {} {}".format(l,m), flush=True)
# or print this after each print statement
# sys.stdout.flush()


if __name__ == "__main__":
    main()