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84
S2OJ/161/161.cpp
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84
S2OJ/161/161.cpp
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#include <iostream>
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#include <cstring>
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#include <queue>
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#include <utility>
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#include <vector>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 105,
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K = 12;
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const int INF = 0x3f3f3f3f;
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int n, m, k, a[K], f[1 << K][N], ans = INF;
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std::vector<std::pair<int, int>> g[N];
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n >> m >> k;
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for (int i = 1, u, v, w; i <= m; i++) {
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cin >> u >> v >> w;
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g[u].emplace_back(v, w);
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g[v].emplace_back(u, w);
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}
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memset(f, 0x3f, sizeof(f));
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for (int i = 1; i <= k; i++) {
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cin >> a[i];
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f[1 << (i - 1)][a[i]] = 0;
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}
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for (int s = 0; s < 1 << k; s++) {
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std::queue<int> q;
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std::vector<bool> vis(n + 1);
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for (int i = 1; i <= n; i++) {
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for (int t = s & (s - 1); t; t = (t - 1) & s) {
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f[s][i] = std::min(f[s][i], f[t][i] + f[s ^ t][i]);
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}
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if (f[s][i] != INF) {
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q.emplace(i);
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vis[i] = true;
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}
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}
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// SPFA
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while (!q.empty()) {
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int u = q.front();
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q.pop();
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vis[u] = false;
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for (auto e : g[u]) {
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int v = e.first,
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w = e.second;
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if (f[s][v] > f[s][u] + w) {
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f[s][v] = f[s][u] + w;
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if (!vis[v]) {
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q.emplace(v);
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vis[v] = true;
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}
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}
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}
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}
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}
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for (int i = 1; i <= k; i++) {
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ans = std::min(ans, f[(1 << k) - 1][a[i]]);
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}
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cout << ans << endl;
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return 0;
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}
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