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Submission #76204

#TimeUsernameProblemLanguageResultExecution timeMemory
76204imeimi2000Meetings (IOI18_meetings)C++17
100 / 100
3463 ms219700 KiB
#include "meetings.h" #include <algorithm> #include <functional> using namespace std; typedef long long llong; typedef pair<int, int> pii; int n; const llong inf = 1e18; vector<llong> ans; pii seg[1 << 21]; struct query { int i, l, r; query(int i, int l, int r) : i(i), l(l), r(r) {} }; vector<query> qs[750001]; pii arr[750001]; void init(int i, int s, int e) { if (s == e) { seg[i] = arr[s]; return; } int m = (s + e) / 2; init(i << 1, s, m); init(i << 1 | 1, m + 1, e); seg[i] = max(seg[i << 1], seg[i << 1 | 1]); } pii getMax(int i, int s, int e, int x, int y) { if (e < x || y < s) return pii(0, 0); if (x <= s && e <= y) return seg[i]; int m = (s + e) / 2; return max(getMax(i << 1, s, m, x, y), getMax(i << 1 | 1, m + 1, e, x, y)); } struct line { int s, e; llong m, b; line() {} line(int s, int e, llong m, llong b) : s(s), e(e), m(m), b(b) {} llong get(int x) const { return m * x + b; } bool operator<=(const line &p) const { return get(p.s) <= p.get(p.s) && get(p.e) <= p.get(p.e); } } ls[750001]; struct que { int s, e; llong add; que(int s, int e) : s(s), e(e), add(0) {} llong getRight() const { if (s > e) return 0; return ls[e].get(ls[e].e) + add; } int size() const { return e - s + 1; } line front() { line ret = ls[s]; ret.b += add; return ret; } line back() { line ret = ls[e]; ret.b += add; return ret; } void pop_front() { ++s; } void pop_back() { --e; } void push_front(line x) { x.b -= add; ls[--s] = x; } void push_back(line x) { x.b -= add; ls[++e] = x; } llong get(int x) const { int st = s, ed = e; while (st <= ed) { int md = (st + ed) / 2; if (ls[md].s <= x && x <= ls[md].e) return ls[md].get(x) + add; if (x < ls[md].s) ed = md - 1; else st = md + 1; } return 0; } }; que getQuery(int s, int e) { if (s > e) return que(s, e); int m = abs(getMax(1, 1, n, s, e).second); que L = getQuery(s, m - 1); que R = getQuery(m + 1, e); for (query q : qs[m]) { ans[q.i] = min(ans[q.i], R.get(q.r) + (m - q.l + 1ll) * arr[m].first); } R.add += (m - s + 1ll) * arr[m].first; line l(m, m, arr[m].first, L.getRight() + (1ll - m) * arr[m].first); while (R.size() && l <= R.front()) { l.e = R.front().e; R.pop_front(); } if (R.size()) { line r = R.front(); R.pop_front(); int st = r.s, ed = r.e; while (st < ed) { int md = (st + ed) / 2; if (l.get(md) < r.get(md)) st = md + 1; else ed = md; } l.e = st - 1; r.s = st; R.push_front(r); } R.push_front(l); if (L.size() < R.size()) { while (L.size()) { R.push_front(L.back()); L.pop_back(); } return R; } else { while (R.size()) { L.push_back(R.front()); R.pop_front(); } return L; } } vector<llong> minimum_costs(vector<int> H, vector<int> L, vector<int> R) { n = H.size(); int q = L.size(); ans.resize(q, inf); for (int i = 0; i < n; ++i) arr[i + 1] = pii(H[i], i + 1); init(1, 1, n); for (int i = 0; i < q; ++i) { int mx = getMax(1, 1, n, L[i] + 1, R[i] + 1).second; qs[mx].emplace_back(i, L[i] + 1, R[i] + 1); } getQuery(1, n); for (int i = 1; i <= n; ++i) qs[i].clear(); for (int i = 0; i < n; ++i) arr[n - i] = pii(H[i], i - n); init(1, 1, n); for (int i = 0; i < q; ++i) { int mx = -getMax(1, 1, n, n - R[i], n - L[i]).second; qs[mx].emplace_back(i, n - R[i], n - L[i]); } getQuery(1, n); return ans; }
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