import java.util.*;
import static java.lang.System.*;

public class Main {

	public static void main(String[] args) {
		try (Scanner sc = new Scanner(in)) {
			int N = sc.nextInt(), Q = sc.nextInt();
			int[] A = new int[N];
			for (int i = 0;i < N;++ i) A[i] = sc.nextInt();
			char[] S = sc.next().toCharArray();
			long[] bit0 = new long[30], bit1 = new long[30];
			for (int i = 0;i < 30;++ i) {
				int b0 = 0, b1 = 1;
				for (int j = 0;j < N;++ j) {
					if (S[j] == '0') {
						if ((A[j] >> i & 1) == 0 && b0 == 1) bit0[i] += 1 << i;
						if ((A[j] >> i & 1) == 0 && b1 == 1) bit1[i] += 1 << i;
						b0 &= A[j] >> i & 1;
						b1 &= A[j] >> i & 1;
					} else {
						if ((A[j] >> i & 1) != 0 && b0 == 0) bit0[i] += 1 << i;
						if ((A[j] >> i & 1) != 0 && b1 == 0) bit1[i] += 1 << i;
						b0 |= A[j] >> i & 1;
						b1 |= A[j] >> i & 1;
					}
				}
			}
			while(Q --> 0) {
				int t = sc.nextInt();
				long ans = 0;
				for (int i = 0;i < 30;++ i) {
					if ((1 << i & t) == 0) ans += bit0[i];
					else ans += bit1[i];
				}
				out.println(ans);
			}
		}
	}

}