Submission #1111247

#TimeUsernameProblemLanguageResultExecution timeMemory
1111247f0rizenCities (BOI16_cities)C++17
100 / 100
1746 ms44792 KiB
#include <bits/stdc++.h>

using namespace std;
using ll = long long;
const int inf = 1e9 + 7;
const ll infll = 1e18;

template<typename T>
istream &operator>>(istream &is, vector<T> &a) {
    for (auto &i : a) {
        is >> i;
    }
    return is;
}

int32_t main() {
#ifdef LOCAL
    freopen("/tmp/input.txt", "r", stdin);
#else
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
#endif
    int n, k, m;
    cin >> n >> k >> m;
    vector<int> a(k);
    cin >> a;
    for (auto &i : a) {
        --i;
    }
    vector<vector<pair<int, int>>> g(n);
    for (int i = 0; i < m; ++i) {
        int u, v, w;
        cin >> u >> v >> w;
        --u, --v;
        g[u].push_back({v, w});
        g[v].push_back({u, w});
    }
    vector<vector<ll>> dp(1 << k, vector<ll>(n, infll));
    for (int i = 0; i < k; ++i) {
        dp[1 << i][a[i]] = 0;
    }
    for (int mask = 0; mask < (1 << k); ++mask) {
        for (int s = mask; s > 0; s = (s - 1) & mask) {
            for (int i = 0; i < n; ++i) {
                dp[mask][i] = min(dp[mask][i], dp[s][i] + dp[mask ^ s][i]);
            }
        }
        using pii = pair<ll, int>;
        priority_queue<pii, vector<pii>, greater<pii>> pq;
        for (int i = 0; i < n; ++i) {
            if (dp[mask][i] < infll) {
                pq.push({dp[mask][i], i});
            }
        }
        while (!pq.empty()) {
            auto [_, v] = pq.top();
            pq.pop();
            if (_ > dp[mask][v]) {
                continue;
            }
            for (auto [u, w] : g[v]) {
                if (dp[mask][u] > dp[mask][v] + w) {
                    dp[mask][u] = dp[mask][v] + w;
                    pq.push({dp[mask][u], u});
                }
            }
        }
    }
    ll ans = infll;
    for (int i = 0; i < n; ++i) {
        ans = min(ans, dp[(1 << k) - 1][i]);
    }
    cout << ans << "\n";
    return 0;
}
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