Submission #954384

#	Time	Username	Problem	Language	Result	Execution time	Memory
954384		TAhmed33	Paths (RMI21_paths)	C++98	100 / 100	433 ms	46184 KiB

Main

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MAXN = 1e5 + 25;
vector <pair <int, ll>> adj[MAXN];
pair <ll, ll> dp[MAXN], dq[MAXN];
ll edge[MAXN];
int n, k;
void dfs (int pos, int par) {
	if ((int)adj[pos].size() == 1) {
		dp[pos] = {edge[pos], pos};
		return;
	}
	for (auto j : adj[pos]) {
		if (j.first == par) continue;
		edge[j.first] = j.second;
		dfs(j.first, pos);
		dp[pos] = max(dp[pos], dp[j.first]);
	}
	dp[pos].first += edge[pos];
}
void dfs2 (int pos, int par, pair <ll, ll> x = {}) {
	x.first += edge[pos];
	dq[pos] = x;
	deque <pair <ll, ll>> u;
	for (auto j : adj[pos]) {
		if (j.first == par) continue;
		u.push_back(dp[j.first]);
	}
	for (int i = (int)u.size() - 2; i >= 0; i--) u[i] = max(u[i], u[i + 1]);
	for (auto j : adj[pos]) {
		if (j.first == par) continue;
		u.pop_front();
		auto g = x; if (!u.empty()) g = max(g, u.front());
		dfs2(j.first, pos, g);
		x = max(x, dp[j.first]);
	}
}
struct DS {
	ll val[MAXN], sum;
	set <pair <ll, ll>> inside, outside;
	void init () {
		for (int i = 1; i <= k; i++) {
			inside.insert({val[i], i});
		}
		for (int i = k + 1; i <= n; i++) {
			outside.insert({val[i], i});
		}
	}
	void upd (int a, ll b) {
		if (inside.count({val[a], a})) {
			inside.erase({val[a], a});
			sum -= val[a];
		} else {
			outside.erase({val[a], a});
		}
		while ((int)inside.size() < k) {
			if (outside.empty()) break;
			auto g = *(--outside.end());
			inside.insert(g); sum += g.first;
			outside.erase(g);
		}
		val[a] += b;
		inside.insert({val[a], a}); sum += val[a];
		while ((int)inside.size() > k) {
			auto g = *(inside.begin());
			outside.insert(g);
			inside.erase(g);
			sum -= g.first;
		}
	}
	ll get () {
		return sum;
	}
} cur;
ll ans[MAXN];
void dfs3 (int pos, int par) {
	if (par != -1) {
		cur.upd(dp[pos].second, -edge[pos]);
		cur.upd(dq[pos].second, edge[pos]);
	}
	ans[pos] = cur.get();
	for (auto j : adj[pos]) {
		if (j.first != par) {
			dfs3(j.first, pos);
		}
	}
	if (par != -1) {
		cur.upd(dq[pos].second, -edge[pos]);
		cur.upd(dp[pos].second, edge[pos]);
	}
}
int main () {
	ios::sync_with_stdio(0); cin.tie(0);
	cin >> n >> k;
	if (n == 1) {
		cout << "0\n";
		return 0;
	}
	if (n == 2) {
		int a, b, c; cin >> a >> b >> c;
		cout << c << '\n' << c << '\n';
		return 0;
	}
	for (int i = 1; i < n; i++) {
		int a, b, c; cin >> a >> b >> c;
		adj[a].push_back({b, c});
		adj[b].push_back({a, c});
	}
	int root = -1;
	for (int i = 1; i <= n; i++) {
		if ((int)adj[i].size() >= 2) root = i;
	}
	dfs(root, -1);
	dfs2(root, -1);
	cur.init();
	for (int i = 1; i <= n; i++) {
		if (i != root) {
			cur.upd(dp[i].second, edge[i]);
		}
	}
	dfs3(root, -1);
	for (int i = 1; i <= n; i++) {
		cout << ans[i] << '\n';
	}
}

• Subtask 1: 8 / 8
• Subtask 2: 11 / 11
• Subtask 3: 17 / 17
• Subtask 4: 20 / 20
• Subtask 5: 12 / 12
• Subtask 6: 32 / 32