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Submission #1005534

#TimeUsernameProblemLanguageResultExecution timeMemory
1005534MilosMilutinovicMeetings (IOI18_meetings)C++14
100 / 100
1981 ms478288 KiB
#include "meetings.h" #include <bits/stdc++.h> using namespace std; const int MAX = 750750; const int NODES = 8 * MAX; const int LOG = 20; const long long inf = (long long) 1e18; int n, q, a[MAX], ql[MAX], qr[MAX]; int logs[MAX], idx[MAX][LOG]; vector<int> qs[MAX]; vector<long long> res; struct Line { long long k; long long n; Line(long long _k = 0, long long _n = inf) : k(_k), n(_n) {} long long val(long long x) { return k * x + n; } } seg[2][NODES]; long long tag[2][NODES]; int cmp(int i, int j) { return a[i] > a[j] ? i : j; } int getMax(int l, int r) { int k = logs[r - l + 1]; return cmp(idx[l][k], idx[r - (1 << k) + 1][k]); } void push(int t, int id) { seg[t][id * 2].n += tag[t][id]; seg[t][id * 2 + 1].n += tag[t][id]; tag[t][id * 2] += tag[t][id]; tag[t][id * 2 + 1] += tag[t][id]; tag[t][id] = 0; } void build(int id, int l, int r) { if (l == r) { seg[0][id] = Line(0, 0); seg[1][id] = Line(0, 0); return; } int mid = (l + r) >> 1; build(id * 2, l, mid); build(id * 2 + 1, mid + 1, r); } long long query(int t, int id, int l, int r, int p) { push(t, id); if (l == r) { return seg[t][id].val(p); } int mid = (l + r) >> 1; if (p <= mid) { return min(seg[t][id].val(p), query(t, id * 2, l, mid, p)); } else { return min(seg[t][id].val(p), query(t, id * 2 + 1, mid + 1, r, p)); } } void increase(int t, int id, int l, int r, int ll, int rr, long long v) { if (ll <= l && r <= rr) { seg[t][id].n += v; tag[t][id] += v; push(t, id); return; } push(t, id); int mid = (l + r) >> 1; if (rr <= mid) { increase(t, id * 2, l, mid, ll, rr, v); } else if (ll > mid) { increase(t, id * 2 + 1, mid + 1, r, ll, rr, v); } else { increase(t, id * 2, l, mid, ll, rr, v); increase(t, id * 2 + 1, mid + 1, r, ll, rr, v); } } void modify(int t, int id, int l, int r, int ll, int rr, Line ln) { if (l > r || l > rr || r < ll) { return; } push(t, id); int mid = (l + r) >> 1; if (ll <= l && r <= rr) { if (ln.val(mid) < seg[t][id].val(mid)) { swap(ln, seg[t][id]); } if (ln.val(l) < seg[t][id].val(l)) { modify(t, id * 2, l, mid, ll, rr, ln); } else { modify(t, id * 2 + 1, mid + 1, r, ll, rr, ln); } return; } modify(t, id * 2, l, mid, ll, rr, ln); modify(t, id * 2 + 1, mid + 1, r, ll, rr, ln); } void solve(int l, int r) { if (l > r) { return; } int mid = getMax(l, r); solve(l, mid - 1); solve(mid + 1, r); for (int i : qs[mid]) { res[i] = min(query(0, 1, 0, n - 1, qr[i]) + (mid - ql[i] + 1) * 1LL * a[mid], query(1, 1, 0, n - 1, ql[i]) + (qr[i] - mid + 1) * 1LL * a[mid]); } increase(0, 1, 0, n - 1, mid, r, a[mid] * 1LL * (mid - l + 1)); increase(1, 1, 0, n - 1, l, mid, a[mid] * 1LL * (r - mid + 1)); if (l != mid) { modify(0, 1, 0, n - 1, mid, r, Line(a[mid], query(0, 1, 0, n - 1, mid - 1) - (mid - 1) * 1LL * a[mid])); } if (r != mid) { modify(1, 1, 0, n - 1, l, mid, Line(-a[mid], query(1, 1, 0, n - 1, mid + 1) + (mid + 1) * 1LL * a[mid])); } } vector<long long> minimum_costs(vector<int> h, vector<int> l, vector<int> r) { n = (int) h.size(); q = (int) l.size(); for (int i = 0; i < n; i++) { a[i] = h[i]; } for (int i = 0; i < q; i++) { ql[i] = l[i]; qr[i] = r[i]; } for (int i = 2; i <= n; i++) { logs[i] = logs[i >> 1] + 1; } for (int i = 0; i < n; i++) { idx[i][0] = i; } for (int j = 1; j < LOG; j++) { for (int i = 0; i + (1 << j) <= n; i++) { idx[i][j] = cmp(idx[i][j - 1], idx[i + (1 << (j - 1))][j - 1]); } } build(1, 0, n - 1); res.resize(q); for (int i = 0; i < q; i++) { qs[getMax(l[i], r[i])].push_back(i); } solve(0, n - 1); return res; }
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