This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
using ll = long long;
using ull = unsigned long long;
using ld = long double;
const ll INF = 1e18;
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
vector<int> a(n + 1);
for (int i = 1; i <= n; i++) cin >> a[i];
int mxc = (n + 1) / 2;
set<array<ll, 3>> segs;
set<array<ll, 3>> best;
for (int i = 1; i <= n; i++) {
segs.insert({i, i, a[i]});
best.insert({a[i], i, i});
}
ll ans = 0;
for (int iteration = 0; iteration < mxc; iteration++) {
auto it = prev(best.end());
auto [add, l, r] = *it;
segs.erase({l, r, add});
best.erase({add, l, r});
ans += add;
cout << ans << '\n';
if (best.empty()) break;
auto it2 = segs.lower_bound({l, INF, INF});
if (it2 == segs.end()) {
it2 = prev(it2);
best.erase({(*it2)[2], (*it2)[0], (*it2)[1]});
segs.erase(it2);
continue;
}
if (it2 == segs.begin()) {
best.erase({(*it2)[2], (*it2)[0], (*it2)[1]});
segs.erase(it2);
continue;
}
add = -add;
auto nxt = segs.lower_bound({l, INF, INF});
if (nxt != segs.end()) {
add += (*nxt)[2];
r = (*nxt)[1];
best.erase({(*nxt)[2], (*nxt)[0], (*nxt)[1]});
segs.erase(nxt);
}
auto prv = segs.lower_bound({l, INF, INF});
if (prv != segs.begin()) {
prv = prev(prv);
add += (*prv)[2];
l = (*prv)[0];
best.erase({(*prv)[2], (*prv)[0], (*prv)[1]});
segs.erase(prv);
}
segs.insert({l, r, add});
best.insert({add, l, r});
}
return 0;
}
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