package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

func configure(scanner *bufio.Scanner) {
	scanner.Split(bufio.ScanWords)
	scanner.Buffer(make([]byte, 1000005), 1000005)
}
func getNextString(scanner *bufio.Scanner) string {
	scanned := scanner.Scan()
	if !scanned {
		panic("scan failed")
	}
	return scanner.Text()
}
func getNextInt(scanner *bufio.Scanner) int {
	i, _ := strconv.Atoi(getNextString(scanner))
	return i
}
func getNextInt64(scanner *bufio.Scanner) int64 {
	i, _ := strconv.ParseInt(getNextString(scanner), 10, 64)
	return i
}
func getNextFloat64(scanner *bufio.Scanner) float64 {
	i, _ := strconv.ParseFloat(getNextString(scanner), 64)
	return i
}
func main() {
	fp := os.Stdin
	wfp := os.Stdout
	extra := 0
	if os.Getenv("I") == "IronMan" {
		fp, _ = os.Open(os.Getenv("END_GAME"))
		extra = 100
	}
	scanner := bufio.NewScanner(fp)
	configure(scanner)
	writer := bufio.NewWriter(wfp)
	defer func() {
		r := recover()
		if r != nil {
			fmt.Fprintln(writer, r)
		}
		writer.Flush()
	}()
	solve(scanner, writer)
	for i := 0; i < extra; i++ {
		fmt.Fprintln(writer, "-----------------------------------")
		solve(scanner, writer)
	}
}
func solve(scanner *bufio.Scanner, writer *bufio.Writer) {
	n := getNextInt(scanner)
	q := getNextInt(scanner)
	aa := make([]int, n)
	b0 := make([]int, 30)
	b1 := make([]int, 30)
	s0 := make([]int, 30)
	s1 := make([]int, 30)
	for i := 0; i < n; i++ {
		aa[i] = getNextInt(scanner)
	}
	s := getNextString(scanner)
	for i := 0; i < 30; i++ {
		b1[i] = 1
	}
	for b := 0; b < 30; b++ {
		for i := 0; i < n; i++ {
			a := aa[i] >> uint(b) & 1
			if s[i] == '0' {
				if b0[b] == 1 && a == 0 {
					s0[b] += 1 << uint(b)
				}
				if b1[b] == 1 && a == 0 {
					s1[b] += 1 << uint(b)
				}
				b0[b] = b0[b] & a
				b1[b] = b1[b] & a
				continue
			}
			if b0[b] == 0 && a == 1 {
				s0[b] += 1 << uint(b)
			}
			if b1[b] == 0 && a == 1 {
				s1[b] += 1 << uint(b)
			}
			b0[b] = b0[b] | a
			b1[b] = b1[b] | a
		}
	}
	for q > 0 {
		q--
		t := getNextInt(scanner)
		var ans int
		for i := 0; i < 30; i++ {
			if t>>uint(i)&1 == 0 {
				ans += s0[i]
				continue
			}
			ans += s1[i]
		}
		fmt.Fprintln(writer, ans)
	}
}
func abs(a int) int {
	if a < 0 {
		return -a
	}
	return a
}