Problem:
Exhaustive Search

Write a program which reads a sequence A of n elements and an integer M, and outputs "yes" if you can make M by adding elements in A, otherwise "no". You can use an element only once.

You are given the sequence A and q questions where each question contains Mi.

Input

In the first line n is given. In the second line, n integers are given. In the third line q is given. Then, in the fourth line, q integers (Mi) are given.

Output

For each question Mi, print yes or no.

Constraints

n ≤ 20

q ≤ 200

1 ≤ elements in A ≤ 2000

1 ≤ Mi ≤ 2000

Sample Input 1

5
1 5 7 10 21
8
2 4 17 8 22 21 100 35

Sample Output 1

no
no
yes
yes
yes
yes
no
no

Notes

You can solve this problem by a Burte Force approach. Suppose solve(p, t) is a function which checkes whether you can make t by selecting elements after p-th element (inclusive). Then you can recursively call the following functions:

solve(0, M)

solve(1, M-{sum created from elements before 1st element})

solve(2, M-{sum created from elements before 2nd element})

...

The recursive function has two choices: you selected p-th element and not. So, you can check solve(p+1, t-A[p]) and solve(p+1, t) in solve(p, t) to check the all combinations.

For example, the following figure shows that 8 can be made by A[0] + A[2].

Solution in C# (judge verdict: Accepted)

using System;

class Program{
    static bool solve(int remain, int[] A, int i){
        return remain==0 || (i<A.Length && (
            solve(remain-A[i], A, i+1) ||
            solve(remain, A, i+1)));
    }

    public static void Main(){
        var n=int.Parse(Console.ReadLine());
        var s=Console.ReadLine().Split(' ');
        var A=new int[n];
        for(var i=0; i<n; i++){
            A[i]=int.Parse(s[i]);
        }
        var q=int.Parse(Console.ReadLine());
        s=Console.ReadLine().Split(' ');
        for(var i=0; i<q; i++){
            var Mi=int.Parse(s[i]);
            if(solve(Mi, A, 0)){
                Console.WriteLine("yes");
            } else{
                Console.WriteLine("no");
            }
        }
    }
}