This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "bits/stdc++.h"
using namespace std;
//#include "debug.h"
void solve() {
int n;
cin >> n;
vector<int> a(n);
for (int i = 0; i < n; i++) {
cin >> a[i];
}
// std::sort(a.begin(), a.end(), [&] (int i, int j) { return i % 2 < j % 2; });
long long ans = 0;
for (int bit = 0; bit < 31; bit++) {
long long cnt = 0;
vector<vector<pair<int, int>>> bucket(2);
// vector<int> b;
for (auto& x : a) {
bucket[x >> bit & 1].push_back({x % (1 << bit), x});
}
a.clear();
for (auto& x : bucket[0]) {
a.push_back(x.second);
}
for (auto& x : bucket[1]) {
a.push_back(x.second);
}
// cout << a.size() << endl;
// std::sort(bucket[0].begin(), bucket[0].end());
// std::sort(bucket[1].begin(), bucket[1].end());
for (auto [_, __] : vector<pair<int, int>>{{0, 0}, {1, 1}}) {
auto l = bucket[_];
auto r = bucket[__];
int uk = 0;
for (int i = (int) r.size() - 1; i >= 0; i--) {
while (uk < (int) l.size() && l[uk].first + r[i].first < (1 << bit)) uk++;
cnt += (int) l.size() - max(uk, i);
}
}
// if (bit == 1) {
// debug(bucket[0], bucket[1], cnt);
// }
for (auto [_, __] : vector<pair<int, int>>{{0, 1}}) {
auto l = bucket[_];
auto r = bucket[__];
int uk = 0;
for (int i = (int) r.size() - 1; i >= 0; i--) {
while (uk < (int) l.size() && l[uk].first + r[i].first < (1 << bit)) uk++;
cnt += uk;
}
}
if (cnt % 2) {
ans ^= (1 << bit);
}
}
cout << ans << '\n';
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t = 1;
// cin >> t;
while (t--) {
solve();
}
}
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