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();
        int[] values = new int[n];
        for (int i = 0; i < n; i++) {
            values[i] = sc.nextInt();
        }
        char[] opps = sc.next().toCharArray();
        long[] ons = new long[31];
        long[] ofs = new long[31];
        for (int i = 0; i < 31; i++) {
            boolean tValue = true;
            boolean fValue = false;
            for (int j = 0; j < n; j++) {
                if (opps[j] == '0') {
                    if (tValue && !((values[j] & (1 << i)) > 0)) {
                        tValue = false;
                        ons[i] += (1 << i);
                    }
                    if (fValue && !((values[j] & (1 << i)) > 0)) {
                        fValue = false;
                        ofs[i] += (1 << i);
                    }
                } else {
                    if (!tValue && ((values[j] & (1 << i)) > 0)) {
                        tValue = true;
                        ons[i] += (1 << i);
                    }
                    if (!fValue && ((values[j] & (1 << i)) > 0)) {
                        fValue = true;
                        ofs[i] += (1 << i);
                    }
                }
            }
        }
        StringBuilder sb = new StringBuilder();
        while (q-- > 0) {
            int x = sc.nextInt();
            long ans = 0;
            for (int i = 0; i < 31; i++) {
                if ((x & (1 << i)) == 0) {
                    ans += ofs[i];
                } else {
                    ans += ons[i];
                }
            }
            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();
    }
    
}