Submission #1121253

#TimeUsernameProblemLanguageResultExecution timeMemory
1121253LonlyRCities (BOI16_cities)C++17
74 / 100
6046 ms165428 KiB
#include<bits/stdc++.h>
#define ll long long
#define all(x) x.begin(), x.end()

using namespace std;
const int maxn = 1e5 + 5;
int n, k, m;
int chosen[maxn];
vector<pair<int,int>> adj[maxn];
vector<array<int, 3>> edges;

template<typename T>
    bool minimize(T& a, const T& b){
        if(a > b){
            return a = b, true;
        } return false;
    }
vector<int> ok;

#define iii tuple<ll,int,int>
ll d[32][maxn];



signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);
//    freopen("test.inp", "r", stdin);
//    freopen("test.out", "w", stdout);
    cin >> n >> k >> m;
    for (int i = 1, x; i <= k; i++)
        cin >> x, chosen[x] = 1;
    k = accumulate(chosen + 1, chosen + n + 1, 0ll);
    for (int i = 1; i <= n; i++)
        if (chosen[i])
            ok.emplace_back(i),
            chosen[i] = ok.size();
    for (int i = 1, u, v, w; i <= m; i++)
        cin >> u >> v >> w,
        adj[u].emplace_back(v, w),
        adj[v].emplace_back(u, w);
    priority_queue<iii, vector<iii>, greater<iii>> pq;
    memset(d, 0x3f, sizeof d);
    ll oo = d[0][0];
    for (int i = 1; i <= n; i++)
    {
        int bit = 0;
        if (chosen[i])
            bit = 1 << (chosen[i] - 1);
        d[bit][i] = 0;
        if (chosen[i]) pq.emplace(0, i, bit);
    }
    int full = (1 << k) - 1;
    while (pq.size())
    {
        auto to = pq.top();
        pq.pop();
        ll val; int u, mask;
        tie(val, u, mask) = to;
        if (val != d[mask][u]) continue;
        for (auto it : adj[u]) {
            int v, w; tie(v, w) = it;
            for (int supr = mask; supr < (1 << k); supr = (supr + 1) | mask) {
                if (d[supr ^ mask][v] == oo) continue;
                if (d[mask][u] + d[supr ^ mask][v] + w < d[supr][v]) {
                    d[supr][v] = d[mask][u] + d[supr ^ mask][v] + w;
                    pq.emplace(d[supr][v], v, supr);
                }
            }
        }
    }
    ll res = oo;
    for (int i = 1; i <= n; i++)
        res = min(res, d[full][i]);
    cout << res;
}
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