Jim has a balance and N weights. $(1 \leq N \leq 20)$
The balance can only tell whether things on different side are the same weight.
Weights can be put on left side or right side arbitrarily.
Please tell whether the balance can measure an object of weight M.
Input
The first line is a integer $T(1 \leq T \leq 5)$, means T test cases.
For each test case :
The first line is $N$, means the number of weights.
The second line are $N$ number, i'th number $w_i (1 \leq w_i \leq 100)$ means the i'th weight's weight is $w_i$.
The third line is a number $M$. $M$ is the weight of the object being measured.
Output
You should output the "YES"or"NO".
Sample Input
1
2
1 4
3
2
4
5
Sample Output
NO
YES
YES
Hint
For the Case 1:Put the 4 weight alone
For the Case 2:Put the 4 weight and 1 weight on both side
