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 <iostream>
using namespace std;
const int maxN = 1e6 + 5;
pair<int, int> sortArray[2][maxN];
pair<int, int> x[maxN];
int a[maxN];
bool GetBit(const int x, const int k) {
return x & (1 << k);
}
void Sort(const int bit, const int n) {
for (int i = 0; i < n; i++) {
if (GetBit(a[x[i].second], bit)) {
x[i].first |= 1 << bit;
}
}
int size[] = {0, 0};
for (int i = 0; i < n; i++) {
int index = GetBit(x[i].first, bit);
sortArray[index][size[index]++] = x[i];
}
int index = 0;
for (int i = 0; i < 2; i++) {
for (int j = 0; j < size[i]; j++) {
x[index++] = sortArray[i][j];
}
}
}
void UpdateP(int& p, const int i, const int value) {
p = max(p, i);
while (i < p && x[i].first + x[p - 1].first >= value) {
p--;
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n;
cin >> n;
for (int i = 0; i < n; i++) {
cin >> a[i];
x[i].second = i;
}
int result = 0;
for (int bit = 0; bit < 30; bit++) {
Sort(bit, n);
int p1 = n;
int p2 = n;
int p3 = n;
const int value = 1 << bit;
for (int i = 0; i < n; i++) {
UpdateP(p1, i, value);
UpdateP(p2, i, 2 * value);
UpdateP(p3, i, 3 * value);
if ((p2 - p1 + n - p3) % 2) {
result ^= value;
}
}
}
cout << result << '\n';
return 0;
}
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