Time Limit: 1 s
Memory Limit: 128 MB

Submission：3
AC：3
Score：99.81

Given a set of sticks of various lengths, is it possible to join them end-to-end to form a square?

The first line of input contains N, the number of test cases. Each test case begins with an integer 4 <= M <= 20, the number of sticks. M integers follow; each gives the length of a stick - an integer between 1 and 10,000.

For each case, output a line containing "yes" if is is possible to form a square; otherwise output "no".

input

3
4 1 1 1 1
5 10 20 30 40 50
8 1 7 2 6 4 4 3 5

output

yes
no
yes