Submission #927875

#TimeUsernameProblemLanguageResultExecution timeMemory
927875OAleksaTeam Contest (JOI22_team)C++14
64 / 100
480 ms256436 KiB
#include <bits/stdc++.h>
using namespace std;
#define f first
#define s second
const int N = 2e5 + 69;
const int A = 4010;
const int inf = 1e9;
int n, a[N], b[N], c[N], d[A][A];
int gmx[A][A], gmn[A][A], mn[A][A];
map<int, int> ca, cb, cc;
signed main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);
  int tt = 1;
  //cin >> tt;
  while (tt--) {
  	cin >> n;
  	vector<int> x, y, z;
  	for (int i = 1;i <= n;i++) {
  		cin >> a[i] >> b[i] >> c[i];
  		x.push_back(a[i]);
  		y.push_back(b[i]);
  		z.push_back(c[i]);
  	}
  	sort(x.begin(), x.end());
  	x.erase(unique(x.begin(), x.end()), x.end());
  	sort(y.begin(), y.end());
  	y.erase(unique(y.begin(), y.end()), y.end());
  	sort(z.begin(), z.end());
  	z.erase(unique(z.begin(), z.end()), z.end());
  	for (int i = 1;i <= n;i++) {
  		auto u = lower_bound(x.begin(), x.end(), a[i]) - x.begin() + 1;
  		ca[u] = a[i];
  		a[i] = u;
  		u = lower_bound(y.begin(), y.end(), b[i]) - y.begin() + 1;
  		cb[u] = b[i];
  		b[i] = u;
  		u = lower_bound(z.begin(), z.end(), c[i]) - z.begin() + 1;
  		cc[u] = c[i];
  		c[i] = u;
  	}
  	for (int i = 0;i < A;i++) {
  		for (int j = 0;j < A;j++) {
  			gmn[i][j] = inf;
  			gmx[i][j] = -inf;
  			d[i][j] = -inf;
  			mn[i][j] = inf;
  		}
  	}
  	for (int i = 1;i <= n;i++) {
  		gmx[a[i]][b[i]] = max(c[i], gmx[a[i]][b[i]]);
  		gmn[a[i]][b[i]] = min(c[i], gmn[a[i]][b[i]]);
  	}
  	for (int i = 1;i < A;i++) {
  		for (int j = 1;j < A;j++) {
  			d[i][j] = max({d[i][j - 1], d[i - 1][j], gmx[i][j]});
  			mn[i][j] = min(mn[i][j - 1], gmn[i][j]);
  		}
  	}
  	int R;
  	if (n > 4000)
  		R = 1000;
  	else
  		R = A - 1;
  	int ans = -1;
  	for (int i = 1;i <= n;i++) {
  		for (int j = R;j > a[i];j--) {
  			if (mn[j][b[i] - 1] < d[j - 1][b[i] - 1] && d[j - 1][b[i] - 1] > c[i]) {
  				ans = max(ans, cb[b[i]] + ca[j] + cc[d[j - 1][b[i] - 1]]);
  				break;
  			}
  		}
  	}
  	cout << ans << '\n';
  }
  return 0;
}
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