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)

#include <bits/stdc++.h>

#define MAX 1000005
#define INF 200000000
#define MOD 1000000007

typedef long long ll;
typedef unsigned long long llu;

using namespace std;

int dx[]={0,0,-1,+1,-1,+1};
int dy[]={-1,+1,0,0,-1,+1};

void IO()
{
    freopen("in.txt","r",stdin);
    //freopen("out.txt","w",stdout);
}

bool flag;
int n,q,m;
int arr[25];

void Fun(int i, int sum)
{
    if(sum==m){
        flag=true;
        return;
    }
    if(i>=n)return;
    if(sum+arr[i]<=m&&!flag)Fun(i+1,sum+arr[i]);
    if(!flag)Fun(i+1,sum);
}

int main()
{
    //IO();
    scanf("%d",&n);
    for(int i=0;i<n;i++)scanf("%d",&arr[i]);
    scanf("%d",&q);
    for(int i=1;i<=q;i++){
        scanf("%d",&m);
        flag=false;
        Fun(0,0);
        if(flag)printf("yes\n");
        else printf("no\n");
    }
    return 0;
}