Square

Time Limit: 10000/5000 MS (Java/Others)

Memory Limit: 65536/32768 K (Java/Others)

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Description

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

Input

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.

Output

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

Sample Input

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

Sample Output

yes no yes

Hint

LL

Source

University of Waterloo Local Contest 2002.0

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