fn main() {
    let mut nq = String::new();
    std::io::stdin().read_line(&mut nq).ok();
    let nq: Vec<usize> = nq.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
    let n = nq[0];
    let q = nq[1];
    let mut a = String::new();
    std::io::stdin().read_line(&mut a).ok();
    let a: Vec<usize> = a.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    let s = s.trim().chars().map(|c| c as usize - '0' as usize).collect::<Vec<_>>();
    let mut t = String::new();
    std::io::stdin().read_line(&mut t).ok();
    let t: Vec<usize> = t.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();

    let mut dp = vec![vec![vec![(0usize, 0usize); 2]; 32]; n+1];
    for i in 0..32 {
        dp[0][i][1] = (1usize, 0usize);
    }
    for i in 0..n {
        for j in 0..32 {
            if s[i] == 0 {
                let (pval, pscore) = dp[i][j][0];
                let nval = pval & ((a[i] >> j) & 1);
                dp[i+1][j][0] = (nval, pscore + nval.max(pval) - nval.min(pval));
                let (pval, pscore) = dp[i][j][1];
                let nval = pval & ((a[i] >> j) & 1);
                dp[i+1][j][1] = (nval, pscore + nval.max(pval) - nval.min(pval));
            } else {
                let (pval, pscore) = dp[i][j][0];
                let nval = pval | ((a[i] >> j) & 1);
                dp[i+1][j][0] = (nval, pscore + nval.max(pval) - nval.min(pval));
                let (pval, pscore) = dp[i][j][1];
                let nval = pval | ((a[i] >> j) & 1);
                dp[i+1][j][1] = (nval, pscore + nval.max(pval) - nval.min(pval));
            }
        }
    }
    for &t in t.iter() {
        let result = (0..32).map(|i| (1usize << i) * dp[n][i][((t >> i) & 1)].1).sum::<usize>();
        println!("{}", result);
    }
}