//https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 より
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};
    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };
    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };
    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };
    ($iter:expr, bytes) => {
        read_value!($iter, String).bytes().collect::<Vec<u8>>()
    };
    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };
    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}

//

use std::io::Write;

fn run() {
    input! {
        n: usize,
        q: usize,
        a: [usize; n],
        s: bytes,
        ask: [usize; q],
    }
    let w = 30;
    let mut score = vec![[0; 2]; w];
    for (i, score) in score.iter_mut().enumerate() {
        let mut state = 2;
        for (c, a) in s.iter().zip(a.iter()) {
            let x = *a >> i & 1;
            match (*c, x) {
                (b'0', 0) => {
                    if state == 2 {
                        score[1] += 1;
                    } else if state == 1 {
                        score[0] += 1;
                        score[1] += 1;
                    }
                    state = 0;
                },
                (b'0', 1) => {
                },
                (b'1', 0) => {
                },
                (b'1', 1) => {
                    if state == 2 {
                        score[0] += 1;
                    } else if state == 0 {
                        score[0] += 1;
                        score[1] += 1;
                    }
                    state = 1;
                },
                _ => unreachable!(),
            }
        }
    }
    let out = std::io::stdout();
    let mut out = std::io::BufWriter::new(out.lock());
    for t in ask {
        let mut ans = 0usize;
        for (i, s) in score.iter().enumerate() {
            ans += s[t >> i & 1] << i;
        }
        writeln!(out, "{}", ans).ok();
    }
}

fn main() {
    run();
}