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)

#include<bits/stdc++.h>
#define fast ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL)
#define ll long long int
#define mod 100000007
#define start int t;cin>>t;while(t--)
#define db(x) cout<<#x<<"="<<x<<"\n"
#define db2(a,b)cout<<#a<<": "<<a<<" , "<<#b<<": "<<b<< endl;
#define db3(a,b,c)cout<<#a<<": "<<a<<" , "<<#b<<": "<<b<<" , "<<#c<<": "<<c<<endl;
#define forr(i, n) for (int i = 0; i < n; i++)
#define fr(i, n) for (int i = 1; i <= n; i++)
#define en "\n"
#define vi vector<int>
#define vli vector<long long int>
#define pii pair<int,int>
#define mpp make_pair
#define pb emplace_back
#define all(x) x.begin(),x.end()
#define sortv(x) sort(x.begin(),x.end())
#define sorta(x,n) sort(x,x+n)
#define print_all(x) for(auto t:x) cout<<t<<" ";cout<<en;
#define in(x) cin>>x
#define in2(x,y) cin>>x>>y
#define in3(x,y,z) cin>>x>>y>>z
#define oo(x) cout<<x<<endl
#define oo2(x,y) cout<<x<<" "<<y<<endl
#define oo3(x,y,z) cout<<x<<" "<<y<<" "<<z<<endl
#define sz(x) x.size()
#define ff first
#define ss second
using namespace std;
ll mod_pow(ll x, int n){
    if(n == 0)      return 1;
 
    ll res = 1;
    while(n > 0){
        if(n & 1)   res = res * x % mod;
        x = x * x % mod;
        n >>= 1;
    }
 
    return res;
}
vector<ll> allDivisors(ll n) { 
    vector<ll> v;
    for (ll i=1; i<=sqrt(n); i++) 
    { 
        if (n%i == 0) 
        { 
            if (n/i == i) 
                v.pb(i);
  
            else {
                v.pb(i);
                v.pb(n/i);
            } 
        }
    }
    return v;
} 
bool isPalin(string s){
    for(int i=0;i<s.size()/2;i++){
        if(s[i]!=s[s.size()-i-1]){
            return false;
        }
    }
    return true;
}

vi z_algo(string s){
    int n=sz(s);
    int l=0,r=0;
    vi z(n);
    for(ll i=1;i<n;i++){
        if(i>r){
            l=r=i;
            while(r<n && s[r]==s[r-l]){
                r++;
            }
            z[i]=r-l;
            r--;
        }
        else{
            ll index=i-l;
            if(i+z[index]<=r) z[i]=z[index];
            else{
                l=i;
                while(r<n && s[r]==s[r-l]){
                    r++;
                }
                z[i]=r-l;
                r--;
            }
        }
    }
    return z;
}

vi z_match(string str, string pat){
    string total=pat+"$"+str;
    vi z=z_algo(total);
    vi ans;
    forr(i,z.size()){
        if(z[i]==pat.size()){
            ans.pb(i-1-pat.size());
        }
    }
    return ans;

}

vi kmp(string s) {
    int n = (int)s.length();
    vector<int> pi(n);
    for (int i = 1; i < n; i++) {
        int j = pi[i-1];
        while (j > 0 && s[i] != s[j])
            j = pi[j-1];
        if (s[i] == s[j])
            j++;
        pi[i] = j;
    }
    return pi;
}

vi kmp_match(string str, string pat){
    string total=pat+"$"+str;
    int n=sz(total);
    vi ans=kmp(total);
    vi res;
    for(int i=pat.size()+1;i<n;i++){
        if(ans[i]==pat.size()){
           res.pb(i-2*pat.size()); 
        }
    }
    return res;
}

int maxx;

bool comp(const pair<ll, ll> &a, const pair<ll, ll> &b) {
    if (a.first == b.first) {
        return a.second > b.second;
    } else {
        return a.first > b.first;
    }
}


void solve(){
   ll n;
   in(n);
   vi a(n);
   int sum=0;
   forr(i,n){
       cin>>a[i];
       sum^=a[i];
   }
   forr(i,n){
       cout<<(sum^a[i])<<" ";
   }
   return;
}
int main(){
    fast;
    //start{
        solve();  
   // }
    return 0;
}