| # | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
|---|---|---|---|---|---|---|---|
| 1300126 | red_souls | Relay Marathon (NOI20_relaymarathon) | C++20 | 30 ms | 7380 KiB |
#include <bits/stdc++.h>
#define ll long long
#define task "RELAYMARATHON"
using namespace std;
const int N = 1e5 + 16;
const ll INF = 1e18;
int n, m, K, u, v, a[N];
ll w, result;
vector < pair <int, ll> > adj[N];
namespace sub4 {
ll d[N];
priority_queue < pair <ll, int>, vector < pair <ll, int> >, greater < pair <ll, int> > > pq;
void dijkstra(int k) {
for (int i = 1; i <= n; i++) {
d[i] = INF;
}
d[k] = 0;
pq.push({d[k], k});
while (!pq.empty()) {
pair <ll, int> top = pq.top();
pq.pop();
ll dist = top.first;
int u = top.second;
if (dist > d[u]) {
continue;
}
for (auto v : adj[u]) {
int vertex = v.first;
ll value = v.second;
if (d[vertex] > dist + value) {
d[vertex] = dist + value;
pq.push({d[vertex], vertex});
}
}
}
}
int s1 = -1, e1 = -1, s2 = -1, e2 = -1;
void solve() {
dijkstra(a[1]);
for (int i = 1; i <= K; i++) {
if (a[i] == a[1]) {
continue;
}
if (s1 == -1 || d[s1] > d[a[i]]) {
s1 = a[i];
}
}
dijkstra(s1);
for (int i = 1; i <= K; i++) {
if (a[i] == s1) {
continue;
}
if (e1 == -1 || d[e1] > d[a[i]]) {
e1 = a[i];
}
}
result += d[e1];
int root = -1;
for (int i = 1; i <= K; i++) {
if (a[i] == s1 || a[i] == e1) {
continue;
}
root = a[i];
break;
}
dijkstra(root);
for (int i = 1; i <= K; i++) {
if (a[i] == s1 || a[i] == e1) {
continue;
}
if (s2 == -1 || d[s2] > d[a[i]]) {
s2 = a[i];
}
}
dijkstra(s2);
for (int i = 1; i <= K; i++) {
if (a[i] == s1 || a[i] == e1) {
continue;
}
if (a[i] == s2) {
continue;
}
if (e2 == -1 || d[e2] > d[a[i]]) {
e2 = a[i];
}
}
result += d[e2];
cout << result;
}
}
int main() {
ios_base :: sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
cin >> n >> m >> K;
for (int i = 1; i <= m; i++) {
cin >> u >> v >> w;
adj[u].push_back({v, w});
adj[v].push_back({u, w});
}
for (int i = 1; i <= K; i++) {
cin >> a[i];
}
sub4 :: solve();
return 0;
}
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