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;
#define int long long
#define endl '\n'
int n, res;
int ar[1000006];
int tar[1000006];
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n;
for (int i = 0; i < n; i++) {
cin >> ar[i];
}
for (int j = 0; j < 31; j++) {
for (int i = 0; i < n; i++) {
tar[i] = ar[i] % (1 << (j + 1));
}
sort(tar, tar + n);
int sum = 0;
for (int i = 0; i < n; i++) {
int p1, p2, p3;
p1 = p2 = p3 = i - 1;
int l = i, r = n - 1;
while (l <= r) {
int m = (l + r) / 2;
if (tar[i] + tar[m] < (1 << j)) {
p1 = m;
l = m + 1;
} else {
r = m - 1;
}
}
l = i, r = n - 1;
while (l <= r) {
int m = (l + r) / 2;
if (tar[i] + tar[m] < (2 * (1 << j))) {
p2 = m;
l = m + 1;
} else {
r = m - 1;
}
}
l = i, r = n - 1;
while (l <= r) {
int m = (l + r) / 2;
if (tar[i] + tar[m] < (3 * (1 << j))) {
p3 = m;
l = m + 1;
} else {
r = m - 1;
}
}
sum += p2 - p1 + n - p3;
}
if (sum & 1) res += (1 << j);
}
cout << res << '\n';
return 0;
}
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