#pragma GCC optimize("O3")
#include<bits/stdc++.h>
using namespace std;
const int INF=2e9+5;
const int N=1e6+5;
int n,K,last_ans,head(0),now_dp,now_diff,a[N],dp[N],pre_dp,pre_diff;
multiset<int> S_of_dp,S_of_diff;
int max(int a,int b) {
	return a>=b?a:b;
}
int min(int a,int b) {
	return a<=b?a:b;
}
void add_dp(int x) {
	S_of_dp.insert(x);
	now_dp=*S_of_dp.begin();
}
void del_dp(int x) {
	S_of_dp.erase(x);
	now_dp=*S_of_dp.begin();
}
void add_diff(int x) {
	S_of_diff.insert(x);
	now_diff=(*S_of_diff.rbegin())-(*S_of_diff.begin());
}
void del_diff(int x) {
	S_of_diff.erase(x);
	now_diff=(*S_of_diff.rbegin())-(*S_of_diff.begin());
}
void get_pre_dp_diff(int pos) {
	if(pos!=0) {
		pre_dp=min(now_dp,dp[pos-1]);
		pre_diff=max(*S_of_diff.rbegin(),a[pos])-min(*S_of_diff.begin(),a[pos]);
	} else {
		pre_dp=pre_diff=INF;
	}
	return;
}
void put(int x) {
	if(x>9)put(x/10);
	putchar((char)(x%10+'0'));
}
int read() {
	int x(0);
	char ch(getchar());
	while(ch>'9'||ch<'0')ch=getchar();
	while(ch<='9'&&ch>='0') {
		x=x*10+ch-'0';
		ch=getchar();
	}
	return x;
}
int main() {
//	freopen("test.in","r",stdin); 
//	freopen("test.out","w",stdout); 
	n=read();
	K=read();
	for(int i=1; i<=n; i++) {
		a[i]=read();
		a[i]^=last_ans;
		add_diff(a[i]);
		if(i>=K) {
			add_dp(dp[i-K]);
			while(now_diff>=now_dp&&head<i-K) {
				del_diff(a[head+1]);
				del_dp(dp[head]);
				head++;
			}
			get_pre_dp_diff(head);
			last_ans=dp[i]=min(max(now_dp,now_diff),max(pre_dp,pre_diff));
		} else {
			dp[i]=INF;
			last_ans=0;
		}
		put(last_ans);
		putchar('\n');
	}
	return 0;
}