Problem Description

After getting $600$ scores in $NOIP$,$ZYB(ZJ-267)$ creates a problem:you are given $N$ numbers,now you are asked to divide them into $K$ groups（$K \geq 1$),the
number of each group must be no less than $3$,and put all the numbers in a group into a ring,the sum of every two adjacent numbers must be a prime.$ZYB$ want to ask
you whether the $N$ numbers can be divided or not?

Input

In the first line there is the testcase $T$.

For each teatcase:

In the first line there is one number $N$.
In the next line there are N numbers $A_i$.

$1 \leq T \leq 50$,$1 \leq N \leq 200$,$1 \leq A_i \leq 200$,for $60$% cases $N \leq 20$.

Output

For each testcase,print the $YES$ or $NO$.

2
7
3 4 8 9 1 1 1
3
1 2 3

YES
NO