Submission #544597

#TimeUsernameProblemLanguageResultExecution timeMemory
544597sidonTeam Contest (JOI22_team)C++17
100 / 100
1962 ms278544 KiB
#include <bits/stdc++.h> using namespace std; #define maxim(X, Y) (X = max(X, Y)) #define all(X) begin(X), end(X) const int INF = 2e9+5; struct Fenwick { int n, *a; Fenwick(int N) : n(N), a(new int[N+1]) { fill(a, a + N + 1, -INF); } void upd(int i, int v) { for(++i; i <= n; i += i&-i) maxim(a[i], v); } int qry(int i) { int v = -INF; for(++i; i >= 1; i -= i&-i) maxim(v, a[i]); return v; } }; int sI, sV; struct ST { #define m ((l + r) / 2) int v; ST *L = NULL, *R = NULL; ST() : v(-INF) {}; void upd(int i, int val) { sI = i, sV = val; _upd(0, 1<<18); } void _upd(int l, int r) { maxim(v, sV); if(r - l > 1) { if(sI < m) (L ? : L = new ST)->_upd(l, m); if(sI >=m) (R ? : R = new ST)->_upd(m, r); } } int qry(int i) { sI = i + 1, sV = -INF; return qry(0, 1<<18), sV; } void qry(int l, int r) { if(r <= sI) return void(maxim(sV, v)); if(l < sI) { if(L) L->qry(l, m); if(R) R->qry(m, r); } } }; struct BIT { int n; vector<ST*> a; BIT(int N) : n(N), a(N+1) { for(auto &i : a) i = new ST; } void update(int i, int j, int v) { for(++i; i <= n; i += i&-i) a[i]->upd(j, v); } int query(int i, int j) { sI = j + 1, sV = -INF; for(++i; i >= 1; i -= i&-i) a[i]->qry(0, 1<<18); return sV; } }; int main() { ios::sync_with_stdio(0), cin.tie(0); int N; cin >> N; array<int, 3> a[N]; vector<int> C[2]; array<int, 2> sz, c[N]; for(auto &[x, y, z] : a) { cin >> x >> y >> z; C[0].push_back(x); C[1].push_back(y); } Fenwick *f[2]; for(int i = 0; i < 2; ++i) { sort(all(C[i])); C[i].erase(unique(all(C[i])), end(C[i])); f[i] = new Fenwick(sz[i] = size(C[i])); } sort(a, a + N, [&](const auto &i, const auto &j) { return i[2] < j[2]; }); BIT b(sz[0]); for(int i = 0; i < N; ++i) for(int k = 0; k < 2; ++k) c[i][k] = sz[k] - 1 - (lower_bound(all(C[k]), a[i][k]) - begin(C[k])); int ans = -INF; for(int l = 0, r; l < N; l = r) { for(r = l + 1; r < N && a[l][2] == a[r][2]; ++r); for(int i = l; i < r; ++i) maxim(ans, a[i][2] + b.query(c[i][0] - 1, c[i][1] - 1)); for(int i = l; i < r; ++i) { int j = f[0]->qry(sz[0] - 2 - c[i][0]); if(j > sz[1] - 1 - c[i][1]) b.update(c[i][0], sz[1] - 1 - j, a[i][0] + C[1][j]); j = f[1]->qry(sz[1] - 2 - c[i][1]); if(j > sz[0] - 1 - c[i][0]) b.update(sz[0] - 1 - j, c[i][1], a[i][1] + C[0][j]); for(int k = 0; k < 2; ++k) f[k]->upd(sz[k] - 1 - c[i][k], sz[!k] - 1 - c[i][!k]); } } cout << max(ans, int(-1)); }
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