#line 2 "cpplib/util/template.hpp"
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2")
#include<bits/stdc++.h>
using namespace std;
struct __INIT__{__INIT__(){cin.tie(0);ios::sync_with_stdio(false);cout<<fixed<<setprecision(15);}}__INIT__;
typedef long long lint;
#define INF (1LL<<60)
#define IINF (1<<30)
#define EPS (1e-10)
#define endl ('\n')
typedef vector<lint> vec;
typedef vector<vector<lint>> mat;
typedef vector<vector<vector<lint>>> mat3;
typedef vector<string> svec;
typedef vector<vector<string>> smat;
template<typename T>using V=vector<T>;
template<typename T>using VV=V<V<T>>;
template<typename T>inline void output(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<<i;f=1;}cout<<endl;}
template<typename T>inline void output2(T t){for(auto i:t)output(i);}
template<typename T>inline void debug(T t){bool f=0;for(auto i:t){cerr<<(f?" ":"")<<i;f=1;}cerr<<endl;}
template<typename T>inline void debug2(T t){for(auto i:t)debug(i);}
#define loop(n) for(long long _=0;_<(long long)(n);++_)
#define _overload4(_1,_2,_3,_4,name,...) name
#define __rep(i,a) repi(i,0,a,1)
#define _rep(i,a,b) repi(i,a,b,1)
#define repi(i,a,b,c) for(long long i=(long long)(a);i<(long long)(b);i+=c)
#define rep(...) _overload4(__VA_ARGS__,repi,_rep,__rep)(__VA_ARGS__)
#define _overload3_rev(_1,_2,_3,name,...) name
#define _rep_rev(i,a) repi_rev(i,0,a)
#define repi_rev(i,a,b) for(long long i=(long long)(b)-1;i>=(long long)(a);--i)
#define rrep(...) _overload3_rev(__VA_ARGS__,repi_rev,_rep_rev)(__VA_ARGS__)

// #define rep(i,...) for(auto i:range(__VA_ARGS__)) 
// #define rrep(i,...) for(auto i:reversed(range(__VA_ARGS__)))
// #define repi(i,a,b) for(lint i=lint(a);i<(lint)(b);++i)
// #define rrepi(i,a,b) for(lint i=lint(b)-1;i>=lint(a);--i)
// #define irep(i) for(lint i=0;;++i)
// inline vector<long long> range(long long n){if(n<=0)return vector<long long>();vector<long long>v(n);iota(v.begin(),v.end(),0LL);return v;}
// inline vector<long long> range(long long a,long long b){if(b<=a)return vector<long long>();vector<long long>v(b-a);iota(v.begin(),v.end(),a);return v;}
// inline vector<long long> range(long long a,long long b,long long c){if((b-a+c-1)/c<=0)return vector<long long>();vector<long long>v((b-a+c-1)/c);for(int i=0;i<(int)v.size();++i)v[i]=i?v[i-1]+c:a;return v;}
// template<typename T>inline T reversed(T v){reverse(v.begin(),v.end());return v;}
#define all(n) begin(n),end(n)
template<typename T,typename E>bool chmin(T& s,const E& t){bool res=s>t;s=min<T>(s,t);return res;}
template<typename T,typename E>bool chmax(T& s,const E& t){bool res=s<t;s=max<T>(s,t);return res;}
const string ds="DRUL";
const vector<lint> dx={1,0,-1,0,1,1,-1,-1};
const vector<lint> dy={0,1,0,-1,1,-1,1,-1};
#define SUM(v) accumulate(all(v),0LL)
#if __cplusplus>=201703L
    template<typename T,typename ...Args>auto make_vector(T x,int arg,Args ...args){if constexpr(sizeof...(args)==0)return vector<T>(arg,x);else return vector(arg,make_vector<T>(x,args...));}
#endif
#define extrep(v,...) for(auto v:__MAKE_MAT__({__VA_ARGS__}))
#define bit(n,a) ((n>>a)&1)
vector<vector<long long>> __MAKE_MAT__(vector<long long> v){if(v.empty())return vector<vector<long long>>(1,vector<long long>());long long n=v.back();v.pop_back();vector<vector<long long>> ret;vector<vector<long long>> tmp=__MAKE_MAT__(v);for(auto e:tmp)for(long long i=0;i<n;++i){ret.push_back(e);ret.back().push_back(i);}return ret;}
using graph=vector<vector<int>>;
template<typename T>using graph_w=vector<vector<pair<int,T>>>;
template<typename T,typename E>ostream& operator<<(ostream& out,pair<T,E>v){out<<"("<<v.first<<","<<v.second<<")";return out;}
#if __cplusplus>=201703L
    constexpr inline long long powll(long long a,long long b){long long res=1;while(b--)res*=a;return res;}
#endif

template<typename T,typename E>pair<T,E>& operator+=(pair<T,E>&s,const pair<T,E>&t){s.first+=t.first;s.second+=t.second;return s;}
template<typename T,typename E>pair<T,E>& operator-=(pair<T,E>&s,const pair<T,E>&t){s.first-=t.first;s.second-=t.second;return s;}
template<typename T,typename E>pair<T,E> operator+(const pair<T,E>&s,const pair<T,E>&t){auto res=s;return res+=t;}
template<typename T,typename E>pair<T,E> operator-(const pair<T,E>&s,const pair<T,E>&t){auto res=s;return res-=t;}
// 128*1024*1024
#define BEGIN_STACK_EXTEND(size) void * stack_extend_memory_ = malloc(size);void * stack_extend_origin_memory_;char * stack_extend_dummy_memory_ = (char*)alloca((1+(int)(((long long)stack_extend_memory_)&127))*16);*stack_extend_dummy_memory_ = 0;asm volatile("mov %%rsp, %%rbx\nmov %%rax, %%rsp":"=b"(stack_extend_origin_memory_):"a"((char*)stack_extend_memory_+(size)-1024));
#define END_STACK_EXTEND asm volatile("mov %%rax, %%rsp"::"a"(stack_extend_origin_memory_));free(stack_extend_memory_);
#line 3 "cpplib/alga/maybe.hpp"

/**
 * @brief Maybe
 * @see https://ja.wikipedia.org/wiki/%E3%83%A2%E3%83%8A%E3%83%89_(%E3%83%97%E3%83%AD%E3%82%B0%E3%83%A9%E3%83%9F%E3%83%B3%E3%82%B0)#Maybe%E3%83%A2%E3%83%8A%E3%83%89
 */

template<typename T>
struct maybe{
    bool _is_none;
    T val;
    maybe():_is_none(true){}
    maybe(T val):_is_none(false),val(val){}
    T unwrap()const{
        assert(!_is_none);
        return val;
    }
    T unwrap_or(T e)const{
        return _is_none?e:val;
    }
    bool is_none()const{return _is_none;}
    bool is_some()const{return !_is_none;}
};

template<typename T,typename F>
auto expand(F op){
    return [&op](const maybe<T>& __s,const maybe<T>& __t)->maybe<T>{
        if(__s.is_none())return __t;
        if(__t.is_none())return __s;
        return maybe<T>(op(__s.unwrap(),__t.unwrap()));
    };
}
#line 3 "cpplib/segment_tree/lazy_segment_tree.hpp"

template<typename T,typename E,typename F,typename G,typename H>
class lazy_segment_tree{
    using i64=long long;
    i64 n;
    i64 sz;
    struct node;
    using np=node*;
    struct node{
        maybe<T> val=maybe<T>();
        maybe<E> lazy=maybe<E>();
        np lch=nullptr,rch=nullptr;
        node(){}
    };
    np root=new node();
    maybe<T> fix(i64 a,E x,i64 l,i64 r,np t){
        auto f=expand<T,F>(_f);
        eval(t,l,r);
        //区間外
        if(r<=a||a<l)return t->val;
        //全部区間内
        if(l==a&&r==a+1){
            eval(t,l,r);
            t->val=x;
            return t->val;
        }
        //一部区間内
        return t->val=f(fix(a,x,l,(l+r)/2,t->lch),fix(a,x,(l+r)/2,r,t->rch));
    }
    maybe<T> update(i64 a,i64 b,T x,i64 l,i64 r,np t){
        auto f=expand<T,F>(_f);
        eval(t,l,r);
        //区間外
        if(r<=a||b<=l)return t->val;
        //全部区間内
        if(a<=l&&r<=b){
            t->lazy=maybe<T>(x);
            eval(t,l,r);
            return t->val;
        }
        //一部区間内
        return t->val=f(update(a,b,x,l,(l+r)/2,t->lch),update(a,b,x,(l+r)/2,r,t->rch));
    }
    maybe<T> get(i64 a,i64 b,i64 l,i64 r,np t){
        auto f=expand<T,F>(_f);
        eval(t,l,r);
        //区間外
        if(r<=a||b<=l)return maybe<T>();
        //全部区間内
        if(a<=l&&r<=b)return t->val;
        //一部区間内
        return f(get(a,b,l,(l+r)/2,t->lch),get(a,b,(l+r)/2,r,t->rch));
    }
    void eval(np t,i64 l,i64 r){
        auto g=expand<E,G>(_g);
        if(r-l>1){
            if(!t->lch)t->lch=new node();
            if(!t->rch)t->rch=new node();
            t->lch->lazy=g(t->lch->lazy,t->lazy);
            t->rch->lazy=g(t->rch->lazy,t->lazy);
        }
        t->val=h(t->val,t->lazy,l,r);
        t->lazy=maybe<E>();
    }
    F _f;G _g;H _h;
    maybe<T> h(const maybe<T>&s,const maybe<E>&t,i64 l,i64 r){
        if(t.is_none())return s;
        else return maybe<T>(_h(s,t.unwrap(),l,r));
    }
    public:
    lazy_segment_tree(i64 sz,F f=F(),G g=G(),H h=H()):n(1),sz(sz),_f(f),_g(g),_h(h){while(n<sz)n<<=1;}
    //0-indexed [a,b)
    void fix(i64 a,T x){fix(a,x,0,n,root);}
    //0-indexed [a,b)
    void update(i64 a,i64 b,E x){update(a,b,x,0,n,root);}
    //0-indexed [a,b)
    maybe<T> get(i64 a,i64 b){return get(a,b,0,n,root);}
};
#line 3 "cpplib/math/binary_search.hpp"
/**
 * @brief 二分探索
 */
template<typename T=long long,typename F>
T bs(T mn,T mx,F func){
    mn--;
    mx++;
	while(mx-mn>1){
		T mid=(mn+mx)/2;
		if(!func(mid))mx=mid;
		else mn=mid;
	}
    return mn;
}
#line 4 "main.cpp"

int main(){
    lint n;
    cin>>n;
    auto f=[&](auto s,auto t){
        return max(s,t);
    };
    auto g=[&](auto s,auto t){
        return s+t;
    };
    auto h=[&](auto s,auto t,auto l,auto r){
        auto p=s.unwrap_or(-INF);
        if(p!=-INF)return p+t;
        else return p;
    };
    auto f2=[&](auto s,auto t){
        return max(s,t);
    };
    auto g2=[&](auto s,auto t){
        return s+t;
    };
    auto h2=[&](auto s,auto t,auto l,auto r){
        auto p=s.unwrap_or(-INF);
        if(p!=-INF)return p+t;
        else return p;
    };
    //seg[i]:= 値 i　に対する最大カウント >=0 なら最終値になり得る(=0でしかなりえないが、こうしてOK)
    // i を追加したら [0,i) に +1,それ以外に -1
    //seg2[i]:= 値 i を入れた時カウントいくつから始まるか
    // i を追加したら [0,i) に -1,それ以外に +1
    lint pre=0;
    lazy_segment_tree<lint,lint,decltype(f),decltype(g),decltype(h)>seg(1LL<<30,f,g,h);
    lazy_segment_tree<lint,lint,decltype(f2),decltype(g2),decltype(h2)>seg2(1LL<<30,f2,g2,h2);
    rep(i,n){
        lint x;
        cin>>x;
        x^=pre;
        auto p=seg.get(x,x+1).unwrap_or(-INF);
        auto q=seg2.get(x,1LL<<30).unwrap_or(-INF);
        seg.update(0,x,1);
        seg.update(x,1LL<<30,-1);
        seg.fix(x,max({0LL,p,q}));
        seg2.update(0,x,1);
        seg2.update(x,1LL<<30,-1);
        seg2.fix(x,max(q,0LL)+1);
        // cerr<<seg2.get(x,x+1).unwrap_or(-INF)<<endl;
        // rep(j,4){
        //     cerr<<seg2.get(j,j+1).unwrap_or(-INF)<<" \n"[j==3];
        // }
        pre=bs(0LL,1LL<<30,[&](lint x)->bool{
            return seg.get(x,1LL<<30).unwrap_or(-INF)>=0;
        });
        cout<<pre<<endl;
    }
}