Problem:
Score : 500 points

Problem Statement

There are N Snuke Cats numbered 1, 2, \ldots, N, where N is even.

Each Snuke Cat wears a red scarf, on which his favorite non-negative integer is written.

Recently, they learned the operation called xor (exclusive OR).

What is xor?

For n non-negative integers x_1, x_2, \ldots, x_n, their xor, x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is defined as follows:

When x_1~\textrm{xor}~x_2~\textrm{xor}~\ldots~\textrm{xor}~x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even.

For example, 3~\textrm{xor}~5 = 6.

They wanted to use this operation quickly, so each of them calculated the xor of the integers written on their scarfs except his scarf.

We know that the xor calculated by Snuke Cat i, that is, the xor of the integers written on the scarfs except the scarf of Snuke Cat i is a_i.
Using this information, restore the integer written on the scarf of each Snuke Cat.

Constraints

All values in input are integers.

2 \leq N \leq 200000

N is even.

0 \leq a_i \leq 10^9

There exists a combination of integers on the scarfs that is consistent with the given information.

Input

Input is given from Standard Input in the following format:

N
a_1 a_2 \ldots a_N

Output

Print a line containing N integers separated with space.

The i-th of the integers from the left should represent the integer written on the scarf of Snuke Cat i.

If there are multiple possible solutions, you may print any of them.

Sample Input 1

4
20 11 9 24

Sample Output 1

26 5 7 22

5~\textrm{xor}~7~\textrm{xor}~22 = 20

26~\textrm{xor}~7~\textrm{xor}~22 = 11

26~\textrm{xor}~5~\textrm{xor}~22 = 9

26~\textrm{xor}~5~\textrm{xor}~7 = 24

Thus, this output is consistent with the given information.

Solution in C++ (GCC 9.2.1) (judge verdict: Accepted)

/**
 * code generated by JHelper
 * More info: https://github.com/AlexeyDmitriev/JHelper
 * @author champon
 */

//<editor-fold desc="definitions">
#include <bits/stdc++.h>
#define se cout << "test ok" << endl;
#define sp << " " <<
#define enl "\n"
using namespace std;
using ll=long long;
using ld=long double;
using pi = pair<int, int>;
using pl = pair<ll, ll>;
using vi = vector<int>;
using vii = vector<vector<int>>;
using viii = vector<vector<vector<int>>>;
using vl = vector<ll>;
using vll = vector<vector<ll>>;
using vlll = vector<vector<vector<ll>>>;
template<class T> using V = vector<T>;
template<class T> using VV = vector<vector<T>>;
template<class T> using VVV = vector<vector<vector<T>>>;
template<class T1, class T2> using P = pair<T1, T2>;
ll mod = ll(1e9)+7;
ll inf = ll(1e18);
void bl(bool b, ostream& out=cout){ out << (b ? "Yes" : "No") << endl; }
void bl2(bool b, ostream& out=cout){ out << (b ? "YES" : "NO") << endl; }
template<typename T> inline bool chmax(T &a, T b){ if(a<b){a=b; return true;} return false; }
template<typename T> inline bool chmin(T &a, T b){ if(a>b){a=b; return true;} return false; }
int dx[] = {1, 0, -1, 0, 1, -1, 1, -1};
int dy[] = {0, 1, 0, -1, 1, -1, -1, 1};

#ifndef INCLUDE_DEBUG_HPP
#define INCLUDE_DEBUG_HPP

#define TO_STRING(varName) # varName
#include <iostream>
#include <vector>
#include <map>
#include <set>
using namespace std;

namespace dbg {

using ll = long long;

class Debug {
  void prefix() { cout << "\033[7m\033[35m" << " DEBUG " << "\033[0m" << endl; }

  void out_helper(){ cout << endl; }

  void out_with_name_helper(){ cout << endl; }

  template<typename T1, typename... T2>
  void out_helper(T1 v, T2... args);

  template<typename T1, typename... T2>
  void out_with_name_helper(string s, T1 v, T2... args);

  // value
  template<typename T>
  void print(T val);

  // pair
  template<typename A, typename B>
  void print(pair<A, B> p);

  // tuple
  template<typename A, typename B, typename C>
  void print(tuple<A, B, C> t);

  // vector
  template<typename T>
  void print(vector<T> &vec);

  // set
  template<typename T>
  void print(set<T> &st);

  // map
  template<typename A, typename B>
  void print(map<A, B> mp);
public:
  Debug(){}

  template<typename... T>
  void out(T... args){
    prefix();
    out_helper(args...);
  }

  template<typename... T>
  void out_with_name(T... args){
    prefix();
    out_with_name_helper(args...);
  }

  template<typename T>
  void outg(vector<vector<T>> &g) {
    prefix();
    for(auto& v1 : g){
      for(auto& v2 : v1) {
        cout << v2 << " ";
      }
      cout << endl;
    }
  }
};

template<typename T1, typename... T2>
void Debug::out_helper(T1 v, T2... args) {
  print(v); cout << endl;
  out_helper(args...);
}

template<typename T1, typename... T2>
void Debug::out_with_name_helper(string s, T1 v, T2... args) {
  cout << s << ": "; print(v); cout << endl;
  out_with_name_helper(args...);
}

template<typename T>
void Debug::print(T val){
  cout << val;
}

template<typename A, typename B>
void Debug::print(pair<A, B> p){
  cout << "("; print(p.first); cout << ", "; print(p.second); cout << ")";
}

template<typename A, typename B, typename C>
void Debug::print(tuple<A, B, C> t) {
  cout << "("; print(get<0>(t)); cout << ", "; print(get<1>(t)); cout << ", "; print(get<2>(t)); cout << ")";
}

template<typename T>
void Debug::print(vector<T>& vec) {
  cout << "[";
  bool fir = true;
  for(auto& e : vec) {
    if(!fir) cout << " ";
    print(e), fir=false;
  }
  cout << "]";
}

template<typename T>
void Debug::print(set<T> &st){
  cout << "{";
  bool fir = true;
  for(auto& e : st) {
    if(!fir) cout << " ";
    print(e), fir=false;
  }
  cout << "}";
}

template<typename A, typename B>
void Debug::print(map<A, B> mp){
  cout << "{";
  bool fir = true;
  for(auto& p : mp){
    if(!fir) cout << " ";
    print(p), fir=false;
  }
  cout << "}";
}

}

#endif //INCLUDE_DEBUG_HPP

dbg::Debug debug;
//</editor-fold>

class ERedScarf {
public:
  void solve(std::istream& in, std::ostream& out){
    int n;
    in >> n;
    vl a(n);
    for(int i=0; i<n; i++) in >> a[i];
    ll all = a[0]^a[0];
    ll buf = a[0];
    for(int i=1; i<n; i++){
      all = all^a[i]^a[i];
      buf ^= a[i];
    }

    vl ansv(n);
    //ansv[0] = all^a[0];
    ansv[0] = buf^a[0];
    for(int i = 1; i < n; i++){
      ansv[i] = ansv[i-1] ^ a[i-1] ^ a[i];
    }
    for(int i=0; i<n; i++){
      out << ansv[i] << " ";
    }
    out << endl;
  }
};


int main() {
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ERedScarf solver;
  std::istream& in(std::cin);
  std::ostream& out(std::cout);
  solver.solve(in, out);
  return 0;
}