제출 #985787

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
985787		OAleksa	Harbingers (CEOI09_harbingers)	C++14	50 / 100	1090 ms	24468 KiB

harbingers

#include <bits/stdc++.h>
#define f first
#define s second
using namespace std;
const int N = 1e5 + 69;
struct line {
	long long k, n;
	line(long long _k, long long _n) {
		k = _k;
		n = _n;
	}
	long long val(long long x) {
		return x * k + n;
	}
};
long long n, s[N], w[N], dp[N], dep[N];
vector<pair<int, int>> g[N];
vector<line> dq;
vector<line> dead;
void dfs(int v, int p) {
	int l = 1, r = dq.size() - 1, id = 0;
	while (l <= r) {
		int mid = (l + r) / 2;
		if (dq[mid].val(w[v]) <= dq[mid - 1].val(w[v])) {
			id = mid;
			l = mid + 1;
		}
		else
			r = mid - 1;
	}
	dp[v] = dq[id].val(w[v]) + s[v] + w[v] * dep[v];
	line ln = {-dep[v], dp[v]};
	while (dq.size() > 1 && (ln.k - dq.back().k) * (dq.back().n - dq[dq.size() - 2].n) <= (dq.back().n - ln.n) * (dq[dq.size() - 2].k - dq.back().k)) {
		dead.push_back(dq.back());
		dq.pop_back();
	}
	dq.push_back(ln);
	for (auto u : g[v]) {
		if (u.f == p)
			continue;
		dep[u.f] = dep[v] + u.s;
		dfs(u.f, v);
	}
	dq.pop_back();
	while (!dead.empty()) {
		dq.push_back(dead.back());
		dead.pop_back();	
	}
}
signed main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);
  int tt = 1;
  //cin >> tt;
  while (tt--) {
  	cin >> n;
  	for (int i = 1;i <= n - 1;i++) {
  		int a, b, c;
  		cin >> a >> b >> c;
  		g[a].push_back({b, c});
  		g[b].push_back({a, c});
  	}
  	for (int i = 2;i <= n;i++)
  		cin >> s[i] >> w[i];
  	dq.push_back({0, 0});	
  	for (auto j : g[1]) {
  		dep[j.f] = j.s;
  		dfs(j.f, 1);
  	}
  	for (int i = 2;i <= n;i++)
  		cout << dp[i] << ' ';
  }
  return 0; 
}

• Subtask 1: 50 / 100