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;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
vector<int> a(n);
for (int& x : a) cin >> x;
int max_j = (n + 1) / 2;
vector<long long> ans(max_j + 1);
for (int mask = 1; mask <= (1 << n) - 1; ++mask) {
int cnt = __builtin_popcount(mask);
bool bad = false;
for (int i = 0; i < n - 1; ++i) {
if ((mask & (1 << i)) && (mask & (1 << (i + 1)))) {
bad = true;
}
}
long long sum = 0;
for (int i = 0; i < n; ++i) {
if (mask & (1 << i)) sum += a[i];
}
if (!bad) {
ans[cnt] = max(ans[cnt], sum);
}
}
for (int j = 1; j <= max_j; ++j) {
cout << ans[j] << '\n';
}
return 0;
}
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