#![allow(unused_imports)]
use {std::cmp::*, std::collections::*, std::io::Write, std::ops::*};

#[allow(unused_macros)]
macro_rules !dbg {($($e :expr ) ,*) =>{#[cfg (debug_assertions ) ] $({let (e ,mut err ) =(stringify !($e ) ,std ::io ::stderr () ) ;writeln !(err ,"{} = {:?}" ,e ,$e ) .unwrap () } ) *} ;}
#[allow(unused_macros)]
macro_rules !min {($a :expr $(,) *) =>{{$a } } ;($a :expr ,$b :expr $(,) *) =>{{std ::cmp ::min ($a ,$b ) } } ;($a :expr ,$($rest :expr ) ,+$(,) *) =>{{std ::cmp ::min ($a ,min !($($rest ) ,+) ) } } ;}
#[allow(unused_macros)]
macro_rules !chmin {($base :expr ,$($cmps :expr ) ,+$(,) *) =>{{let cmp_min =min !($($cmps ) ,+) ;if $base >cmp_min {$base =cmp_min ;true } else {false } } } ;}
#[allow(unused_macros)]
macro_rules !max {($a :expr $(,) *) =>{{$a } } ;($a :expr ,$b :expr $(,) *) =>{{std ::cmp ::max ($a ,$b ) } } ;($a :expr ,$($rest :expr ) ,+$(,) *) =>{{std ::cmp ::max ($a ,max !($($rest ) ,+) ) } } ;}
#[allow(unused_macros)]
macro_rules !chmax {($base :expr ,$($cmps :expr ) ,+$(,) *) =>{{let cmp_max =max !($($cmps ) ,+) ;if $base <cmp_max {$base =cmp_max ;true } else {false } } } ;}

#[allow(dead_code)]
mod scanner {
    use std;
    use std::io::Read;
    use std::str::FromStr;
    use std::str::SplitWhitespace;
    pub struct Scanner<'a> {
        it: SplitWhitespace<'a>,
    }
    impl<'a> Scanner<'a> {
        pub fn new(s: &'a String) -> Scanner<'a> {
            Scanner {
                it: s.split_whitespace(),
            }
        }
        pub fn next<T: FromStr>(&mut self) -> T {
            match self.it.next().unwrap().parse::<T>() {
                Ok(v) => v,
                _ => panic!("Scanner error"),
            }
        }
        pub fn next_chars(&mut self) -> Vec<char> {
            self.next::<String>().chars().collect()
        }
        pub fn next_vec<T: FromStr>(&mut self, len: usize) -> Vec<T> {
            (0..len).map(|_| self.next()).collect()
        }
    }
    pub fn read_string() -> String {
        let mut s = String::new();
        std::io::stdin().read_to_string(&mut s).unwrap();
        s
    }
}

fn main() {
    let sc = scanner::read_string();
    let mut sc = scanner::Scanner::new(&sc);
    let out = std::io::stdout();
    let mut out = std::io::BufWriter::new(out.lock());

    let n: usize = sc.next();
    let q: usize = sc.next();
    let a: Vec<usize> = sc.next_vec(n);
    let s: String = sc.next();
    let s: Vec<usize> = s.chars().map(|c| if c == '1' { 1 } else { 0 }).collect();
    let t: Vec<usize> = sc.next_vec(q);

    let mut score = vec![vec![0; 2]; 32];
    for i in 0..32 {
        let mut b1 = 1;
        let mut b2 = 0;
        for j in 0..n {
            if s[j] == 0 {
                if (a[j] >> i) & 1 == 0 {
                    if b1 == 1 {
                        score[i][0] += 1usize << i;
                        b1 = 0;
                    }
                    if b2 == 1 {
                        score[i][1] += 1usize << i;
                        b2 = 0;
                    }
                }
            } else {
                if (a[j] >> i) & 1 == 1 {
                    if b1 == 0 {
                        score[i][0] += 1usize << i;
                        b1 = 1;
                    }
                    if b2 == 0 {
                        score[i][1] += 1usize << i;
                        b2 = 1;
                    }
                }
            }
        }
    }

    for &t in t.iter() {
        let mut ans = 0;
        for i in 0..32 {
            if (t >> i) & 1 == 1 {
                ans += score[i][0];
            } else {
                ans += score[i][1];
            }
        }
        writeln!(out, "{}", ans).unwrap();
    }
}