import java.io.*;
import java.util.*;
import java.util.stream.*;

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        int q = sc.nextInt();
        boolean[][] state = new boolean[n][30];
        for (int i = 0; i < n; i++) {
            int x = sc.nextInt();
            for (int j = 0; j < 30; j++) {
                state[i][j] = (x % 2 == 1);
                x >>= 1;
            }
        }
        char[] isAnd = sc.next().toCharArray();
        long[][] count = new long[30][2];
        for (int i = 0; i < 30; i++) {
            boolean[] current = new boolean[]{false, true};
            for (int j = 0; j < n; j++) {
                for (int k = 0; k < 2; k++) {
                    if ((isAnd[j] == '0' && current[k] && !state[j][i]) || (isAnd[j] == '1' && !current[k] && state[j][i])) {
                        count[i][k]++;
                        current[k] ^= true;
                    }
                }
            }
        }
        StringBuilder sb = new StringBuilder();
        while (q-- > 0) {
            int x = sc.nextInt();
            long ans = 0;
            for (int i = 0; i < 30; i++) {
                ans += (count[i][x % 2] << i);
                x >>= 1;
            }
            sb.append(ans).append("\n");
        }
        System.out.print(sb);
    }
}
class Utilities {
    static String arrayToLineString(Object[] arr) {
        return Arrays.stream(arr).map(x -> x.toString()).collect(Collectors.joining("\n"));
    }
    
    static String arrayToLineString(int[] arr) {
        return String.join("\n", Arrays.stream(arr).mapToObj(String::valueOf).toArray(String[]::new));
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    StringBuilder sb = new StringBuilder();
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }
    
    public int[] nextIntArray() throws Exception {
        return Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray();
    }
    
    public String next() throws Exception {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
    
}