답안 #770727

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
770727 2023-07-01T19:53:03 Z tcmmichaelb139 Valley (BOI19_valley) C++17
100 / 100
143 ms 40928 KB
#include "bits/stdc++.h"
using namespace std;

const int MAXN = 100'001, MS = 18;
const long long INF = 1e18;

int n, s, q, e;
vector<pair<int, long long>> adj[MAXN];
vector<pair<int, int>> edge;
bool shop[MAXN];
int h[MAXN];
long long dist[MAXN];
long long mn[MS][MAXN];
int jmp[MS][MAXN];

void dfs(int u, int p, int ht) {
	if (shop[u]) mn[0][u] = 0;
	for (auto v : adj[u]) {
		if (v.first == p) continue;
		dist[v.first] = dist[u] + v.second;
		h[v.first] = ht + 1;
		jmp[0][v.first] = u;
		dfs(v.first, u, ht + 1);
		mn[0][u] = min(mn[0][u], mn[0][v.first] + v.second);
	}
}

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);

	cin >> n >> s >> q >> e;
	for (int i = 0; i < n - 1; i++) {
		int a, b;
		long long w;
		cin >> a >> b >> w;
		edge.push_back({a, b});
		adj[a].push_back({b, w});
		adj[b].push_back({a, w});
	}
	for (int i = 0; i < s; i++) {
		int a;
		cin >> a;
		shop[a] = true;
	}
	for (int i = 1; i <= n; i++) mn[0][i] = INF;
	mn[0][e] = 0;
	dfs(e, 0, 0);
	for (int i = 1; i <= n; i++) {
		if (mn[0][i] != INF)
			mn[0][i] -= dist[i];
	}

	for (int i = 1; i < MS; i++) {
		for (int j = 1; j <= n; j++) {
			jmp[i][j] = jmp[i - 1][jmp[i - 1][j]];
			mn[i][j] = min(mn[i - 1][j], mn[i - 1][jmp[i - 1][j]]);
		}
	}

	auto sameSubtree = [&](int a, int b) {
		int diff = h[a] - h[b];
		for (int i = MS - 1; i >= 0; i--)
			if (diff & (1 << i))
				a = jmp[i][a];
		return a == b;
	};

	while (q--) {
		int a, v;
		cin >> a >> v;
		a--;
		int u = edge[a].first;
		if (h[u] < h[edge[a].second]) u = edge[a].second;
		if (h[u] <= h[v] && sameSubtree(v, u)) {
			long long initDist = dist[v];
			long long ans = INF;
			int diff = h[v] - h[u];
			for (int i = MS - 1; i >= 0; i--) {
				if (diff & (1 << i)) {
					ans = min(ans, mn[i][v]);
					v = jmp[i][v];
				}
			}
			ans = min(ans, mn[0][u]);
			if (ans == INF) {
				cout << "oo\n";
			} else {
				cout << initDist + ans << '\n';
			}
		} else {
			cout << "escaped\n";
		}
	}
}
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 3028 KB Output is correct
2 Correct 3 ms 3028 KB Output is correct
3 Correct 3 ms 3028 KB Output is correct
4 Correct 3 ms 2972 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 3028 KB Output is correct
2 Correct 3 ms 3028 KB Output is correct
3 Correct 3 ms 3028 KB Output is correct
4 Correct 3 ms 2972 KB Output is correct
5 Correct 2 ms 3156 KB Output is correct
6 Correct 2 ms 3156 KB Output is correct
7 Correct 2 ms 3156 KB Output is correct
8 Correct 2 ms 3156 KB Output is correct
9 Correct 2 ms 3156 KB Output is correct
10 Correct 2 ms 3156 KB Output is correct
11 Correct 2 ms 3156 KB Output is correct
12 Correct 2 ms 3156 KB Output is correct
13 Correct 2 ms 3156 KB Output is correct
14 Correct 2 ms 3156 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 83 ms 35468 KB Output is correct
2 Correct 91 ms 35236 KB Output is correct
3 Correct 107 ms 35480 KB Output is correct
4 Correct 100 ms 37824 KB Output is correct
5 Correct 93 ms 37888 KB Output is correct
6 Correct 141 ms 40384 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 3028 KB Output is correct
2 Correct 3 ms 3028 KB Output is correct
3 Correct 3 ms 3028 KB Output is correct
4 Correct 3 ms 2972 KB Output is correct
5 Correct 2 ms 3156 KB Output is correct
6 Correct 2 ms 3156 KB Output is correct
7 Correct 2 ms 3156 KB Output is correct
8 Correct 2 ms 3156 KB Output is correct
9 Correct 2 ms 3156 KB Output is correct
10 Correct 2 ms 3156 KB Output is correct
11 Correct 2 ms 3156 KB Output is correct
12 Correct 2 ms 3156 KB Output is correct
13 Correct 2 ms 3156 KB Output is correct
14 Correct 2 ms 3156 KB Output is correct
15 Correct 83 ms 35468 KB Output is correct
16 Correct 91 ms 35236 KB Output is correct
17 Correct 107 ms 35480 KB Output is correct
18 Correct 100 ms 37824 KB Output is correct
19 Correct 93 ms 37888 KB Output is correct
20 Correct 141 ms 40384 KB Output is correct
21 Correct 86 ms 34876 KB Output is correct
22 Correct 79 ms 34644 KB Output is correct
23 Correct 88 ms 34864 KB Output is correct
24 Correct 97 ms 37468 KB Output is correct
25 Correct 143 ms 40868 KB Output is correct
26 Correct 70 ms 34984 KB Output is correct
27 Correct 83 ms 34744 KB Output is correct
28 Correct 87 ms 34952 KB Output is correct
29 Correct 95 ms 36768 KB Output is correct
30 Correct 112 ms 38644 KB Output is correct
31 Correct 94 ms 35052 KB Output is correct
32 Correct 76 ms 34840 KB Output is correct
33 Correct 81 ms 35080 KB Output is correct
34 Correct 95 ms 37444 KB Output is correct
35 Correct 127 ms 40928 KB Output is correct
36 Correct 93 ms 37440 KB Output is correct