#include <iostream>
#include <cstdio>
using namespace std;
int s[2000005][2], cnt, n, m, x, uu, ans, dep[2000005], siz[2000005];
void ins(){
    int u=0;
    for(int i=19; i>=0; i--){
        int t=(x&(1<<i))>0;
        if(!s[u][t])    s[u][t] = ++cnt;
        u = s[u][t];
    }
}
void dfs(int
 
 o){
    if(o)   siz[o] = 1;
    if(s[o][0]) dfs(s[o][0]);
    if(s[o][1]) dfs(s[o][1]);
    siz[o] += siz[s[o][0]] + siz[s[o][1]];
}
void getAns(){
    int u=0;
    for(int i=19; i>=0; i--){
        int t=(x&(1<<i))>0;
        if(siz[s[u][t]]!=(1<<(i+1))-1){
            ans |= t<<i;
            u = s[u][t];
        }
        else
 
{
            ans |= (t^1)<<i;
            u = s[u][t^1];
        }
    } 
}
int main(){
    cin>>n>>m;
    for(int i=1; i<=n; i++){
        scanf("%d", &x);
        ins();
    }
    x = 0;
    dfs(0);
    while(m--){
        ans = 0;
        scanf("%d", &uu);
        x ^= uu;
        getAns();
        printf("
 
%d\n", ans^x);
    }
    return 0;
}

cf842d Vitya and Strange Lesson