Submission #924712

#	Time	Username	Problem	Language	Result	Execution time	Memory
924712		OAleksa	Harbingers (CEOI09_harbingers)	C++14	20 / 100	54 ms	32980 KiB

harbingers

#include <bits/stdc++.h>
using namespace std;
#define f first
#define s second
#define int long long
const long long inf = 1e9;
const int N = 1e5 + 69;
const int M = N;
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;
	}
} st[M];
int lc[M], rc[M], root[N], node;
vector<pair<int, int>> g[N];
int s[N], w[N], n;
long long dp[N], dep[N];
void AddLine(int v, int p, int l, int r, Line ln) {
	long long mid = (l + r) / 2;
	st[v] = st[p];
	if (st[v].val(mid) > ln.val(mid))
		swap(st[v], ln);
	if (l == r)
		return;
	if (ln.val(l) < st[v].val(l)) {
		lc[v] = ++node;
		rc[v] = rc[p];
		AddLine(lc[v], lc[p], l, mid, ln);
	}
	else {
		rc[v] = ++node;
		lc[v] = lc[p];
		AddLine(rc[v], rc[p], mid + 1, r, ln);
	}
}
long long Query(int v, int l, int r, int x) {
	if (l == r)
		return st[v].val(x);
	else {
		int mid = (l + r) / 2;
		if (x <= mid)
			return min(st[v].val(x), Query(lc[v], l, mid, x));
		else
			return min(st[v].val(x), Query(rc[v], mid + 1, r, x));
	}
}
void dfs(int v, int p) {
	dp[v] = min(dep[v] * w[v] + s[v], Query(root[p], 1, inf, w[v]) + dep[v] * w[v] + s[v]);
	root[v] = ++node;
	Line ln = {-dep[v], dp[v]};
	AddLine(root[v], root[p], 1, inf, ln);
	for (auto u : g[v]) {
		if (u.f == p)
			continue;
		dep[u.f] = dep[v] + u.s;
		dfs(u.f, v);
	}
}
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];
  	dfs(1, 0);
  	for (int i = 2;i <= n;i++)
  		cout << dp[i] << " ";
  }
  return 0;
}

• Subtask 1: 20 / 100