#include<bits/stdc++.h>
using namespace std;
#define ll long long
bool on(int mask,int i)
{
    return (mask>>i)&1;
}
int get(int x,int k)
{
    int cnt=0;
    for(int i=20;i>=0;i--)
    {
        if(on(x,i)&&(cnt|(1<<i))<=k)
        {
            cnt+=1<<i;
            x^=1<<i;
        }
    }
    return x;
}
signed main()
{
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    int n,k;cin>>n>>k;
    multiset<int>ms;
    for(int mask=0;mask<(1<<20);mask++)
    {
        ms.insert(get(mask,k));
        if(mask<=10)
        {
            cout<<get(mask,k)<<'\n';
        }
    }
    return 0;
    map<int,bool>op;
    while(n--)
    {
        int x;cin>>x;
        if(op[x]==0)
        {
            op[x]=1;
            ms.erase(ms.find(get(x,k)));
        }
        else
        {
            op[x]=0;
            ms.insert(get(x,k));
        }
        cout<<*ms.begin()<<'\n';
    }
    return 0;
}