이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#pragma GCC optimize("Ofast,O2,O3,unroll-loops")
#pragma GCC target("avx2")
#include <bits/stdc++.h>
using namespace std;
void debug_out() { cerr << endl; }
template<typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
cerr << "[" << H << "]";
debug_out(T...);
}
#ifdef dddxxz
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif
#define SZ(s) ((int)s.size())
#define all(x) (x).begin(), (x).end()
#define lla(x) (x).rbegin(), (x).rend()
clock_t startTime;
double getCurrentTime() {
return (double) (clock() - startTime) / CLOCKS_PER_SEC;
}
#define MP make_pair
typedef long long ll;
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
const double eps = 0.000001;
const int MOD = 998244353;
const int INF = 1000000101;
const long long LLINF = 1223372000000000555;
const int N = 1e6 + 3e2;
const int M = 222;
vector<pair<int, int>> g[N];
void dijkstra(int root, vector<ll> &d){
d[root] = 0;
priority_queue<pair<ll, int>> pq;
pq.push(MP(0, root));
vector<bool> processed(d.size(), false);
while (!pq.empty()){
int v = pq.top().second; pq.pop();
if (processed[v]) continue;
processed[v] = true;
for (auto e : g[v]){
int u = e.first, w = e.second;
if (d[u] > d[v] + w){
d[u] = d[v] + w;
pq.push(MP(-d[u], u));
}
}
}
// for (ll x : d) cout << x << ' '; cout << endl;
}
void solve(int TC) {
int n, k, m;
cin >> n >> k >> m;
vector<int> imp(k);
for (int &i : imp){
cin >> i;
--i;
}
for (int i = 0; i < m; i++){
int u, v, w;
cin >> u >> v >> w;
--u, --v;
g[u].emplace_back(v, w);
g[v].emplace_back(u, w);
}
vector<vector<ll>> d(k, vector<ll>(n, LLINF));
for (int i = 0; i < k; i++){
dijkstra(imp[i], d[i]);
}
if (k <= 3){
ll ans = LLINF;
for (int mid = 0; mid < n; mid++){
ll cur = 0;
for (int i = 0; i < k; i++){
cur += d[i][mid];
}
ans = min(ans, cur);
}
cout << ans;
return;
}
if (k == 4){
ll ans = LLINF;
for (int mid1 = 0; mid1 < n; mid1++){
vector<ll> dm(n, LLINF);
dijkstra(mid1, dm);
for (int mid2 = 0; mid2 < n; mid2++) {
ll cur = dm[mid2];
for (int i = 0; i < k; i++) {
cur += min(d[i][mid1], d[i][mid2]);
}
ans = min(ans, cur);
}
}
cout << ans;
return;
}
}
int main() {
startTime = clock();
ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
#ifdef dddxxz
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
int TC = 1;
// cin >> TC;
for (int test = 1; test <= TC; test++) {
//debug(test);
//cout << "Case #" << test << ": ";
solve(test);
}
cerr << endl << "Time: " << int(getCurrentTime() * 1000) << " ms" << endl;
return 0;
}
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