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 JAVA (judge verdict: Accepted)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.HashSet;

public class Main {
    public static void main(String[] args) throws IOException {
//    	long l = System.currentTimeMillis();
        new Main().exec();
//    	long l2 = System.currentTimeMillis();
//    	System.out.println(l2 - l);
    }
    
    public void exec() throws IOException {
        InputUtil in = new InputUtil();
        PrintWriter out = new PrintWriter(System.out);
        int n = in.nextInt();
        int[] A = in.nextInt(new int[n]);
        int maxMask = (int)Math.pow(2,n);
        HashSet<Integer> okNumber = new HashSet<>();
        int mask=1;
        int fullsum = 0;
        for(int i=0; i<n; i++) {
        	fullsum += A[i];
        }
        okNumber.add(fullsum);
        
        LOOP1:
        for(int m : in.nextInt(new int[in.nextInt()])) {
        	if(okNumber.contains(m)){
        		out.println("yes");
        		continue;
        	}
        	for(; mask<maxMask/2; mask++) {
        		int sum=0;
        		for(int i=0; i<n; i++) {
        			if(((1<<i)&mask) != 0){
        				sum += A[i];
        			}
        		}
        		okNumber.add(sum);
        		okNumber.add(fullsum - sum);
        		if(m == sum || m == fullsum - sum){
            		out.println("yes");
            		continue LOOP1;
        		}
        		
        	}
        	out.println("no");
        }
        out.flush();
    }
    
}

class InputUtil {
	//Static Fields
	private static final int BUFSIZ = 50000;
	
	//Fields
	protected InputStream in;
	private char[] buf = null;
	private int ptr = 0;
	private int max = -1;
	private BufferedReader br = null;
	
	//Constructors
	public InputUtil() {this(System.in,BUFSIZ);}
	public InputUtil(InputStream in, int bufsiz) {
		initBuf(bufsiz);
		initIn(in);
	}
	
	//Methods
	//Initializer
	protected void initIn(InputStream in) {br = new BufferedReader(new InputStreamReader(this.in = in));}
	protected void initBuf(int bufsiz) {buf = new char[bufsiz];}
	
	//buffer operation
	private void next() throws IOException {ptr++; readBuf();}
	private void readBuf() throws IOException {
		if(ptr >= max && br.ready()) {
			max = br.read(buf);
			ptr = 0;
		}
	}
	//Number Input Reader/Parser
	private boolean isNum(char b) {return '0' <= b && b <= '9'; }
	private boolean isMinus(char b) {return b=='-'; }

	private int _nextInt() throws IOException {
		int sign = 1;
		int res = 0;
		char c;
		while (!isNum(c=buf[ptr]) && !isMinus(c)) 
			next();
		if (isMinus(buf[ptr])) {
			sign = -1;
			next();
		}
		while (isNum(c=buf[ptr])) {
			res *= 10;
			res += c - '0' ;
			next();
		}
		next();
		return sign * res;
	}
	
	public int nextInt() throws IOException {
		readBuf();
		return _nextInt();
	}

	public int[] nextInt(int[] result) throws IOException {
		readBuf();
		for(int i=0; i<result.length; i++) {
			result[i] = _nextInt();
		}
		return result;
	}
	
	//Close 
	public void close() throws IOException {
		if(!this.in.equals(System.in)) 
			this.in.close();
	}

}