#include <bits/stdc++.h>
#ifdef ULVI
#include "debug.hpp"
#else
#define db(...)
#define dbv(v)
#define line()
#endif
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define ff first
#define ss second
#define enld endl
using namespace std;
using namespace __gnu_pbds;
typedef int ll;
typedef pair<ll,ll> pll;
const ll sz=2e5+100;
const ll lg=32;
const ll mod=1e9+7;
const ll inf=1e18;
template<class T>
using indexed_set=tree<T,null_type,less<T>,rb_tree_tag,tree_order_statistics_node_update>;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
void solve(){
ll n;
cin>>n;
vector<ll> v(n);
for(ll i=0;i<n;i++) cin>>v[i];
ll ans=0;
for(ll b=0;b<lg;b++){
ll pw=(1ll<<b);
ll d=(pw+1)/2;
vector<ll> a(n);
ll cnt=0,cnt1=0;
for(ll i=0;i<n;i++){
a[i]=v[i]&(pw-1);
if(v[i]>>b&1) cnt1++;
if(a[i]>=d) cnt++;
}
ll cnt0=n-cnt1,pt=0;
sort(all(a));
for(ll i=n-1;i>=1;i--){
while(pt<i && a[pt]<pw-a[i]) pt++;
if(pt<i) cnt=(cnt+i-pt)%2;
}
cnt1%=2;
cnt0%=2;
cnt=(cnt+cnt0*cnt1)%2;
if(cnt) ans+=pw;
}
cout<<ans<<'\n';
}
int main(){
// freopen("input.txt","r",stdin);
// freopen("output.txt","w",stdout);
ios_base::sync_with_stdio(0);
cin.tie(0);
ll t=1;
// cin>>t;
for(ll _=1;_<=t;_++){
// cout<<"Scenario #"<<_<<":\n";
solve();
}
}
컴파일 시 표준 에러 (stderr) 메시지
xorsum.cpp:25:14: warning: overflow in conversion from 'double' to 'll' {aka 'int'} changes value from '1.0e+18' to '2147483647' [-Woverflow]
25 | const ll inf=1e18;
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