This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//Sylwia Sapkowska
#include <bits/stdc++.h>
#pragma GCC optimize("O3", "unroll-loops")
using namespace std;
#define int long long
typedef pair<int, int> T;
void solve(){
int n; cin >> n;
vector<int>a(n+2), L(n+2), R(n+2);
for (int i = 1; i<=n; i++) {
cin >> a[i];
}
iota(L.begin(), L.end(), 0);
iota(R.begin(), R.end(), 0);
auto cost = a;
priority_queue<T>pq;
vector<bool>beg(n+2, 1);
for (int i = 1; i<=n; i++) pq.push({a[i], i});
//niezmiennik --> konce przedzialow sa puste
//przedzial ma zawsze nieparzysta dlugosc --> zmiana zwieksza ilosc ciastek o 1
//not really, czasami nie da sie dolaczyc hshs
//claim: przedzialy parzyste na prefiksie i sukfiksie sa useless
//skoro wybieramy a[1], to a[1] >= a[2], dalej jakby tych dwoch elementow w ogole nie bylo
//wtedy wartosci nie maja znaczenia, bo ostatni na prefiksie bedzie pusty
int ans = 0;
for (int rep = 1; rep <= (n+1)/2; rep++){
while (!beg[pq.top().second] || cost[pq.top().second] != pq.top().first) pq.pop();
auto [val, l] = pq.top(); pq.pop();
ans += val;
// debug(val, l, R[l]);
int nl = L[l-1];
int nr = R[R[l]+1];
int newcost = cost[nl] + cost[R[l]+1] - cost[l];
nl = max(nl, 1ll);
nr = min(nr, n);
cost[nl] = newcost;
beg[R[l]+1] = beg[l] = 0;
beg[nl] = 1;
if ((nr-nl)%2==0) pq.push({cost[nl], nl});
R[nl] = nr; L[nr] = nl;
cout << ans << "\n";
}
}
int32_t main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
solve();
return 0;
}
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