제출 #1310182

#제출 시각아이디문제언어결과실행 시간메모리
1310182edoCities (BOI16_cities)C++20
37 / 100
1886 ms44704 KiB
#include <bits/stdc++.h>

using namespace std;
using ll   = long long;
using vi   = vector<int>;
using vll  = vector<ll>;
using vvi  = vector<vi>;
using vvll = vector<vll>;
using pii  = pair<int,int>;
using pll  = pair<ll,ll>;
using ui    = unsigned int;
using ull   = unsigned long long;
using pui   = pair<ui,ui>;
using pull  = pair<ull,ull>;
using i128 = __int128_t;

template<typename T>
using vc = std::vector<T>;


#define YES cout << "YES\n"
#define NO  cout << "NO\n"
#define yes cout << "yes\n"
#define no  cout << "no\n"
#define Yes cout << "Yes\n"
#define No  cout << "No\n"

template<typename T> void sc(T &x) { cin >> x; }
template<typename T, typename U> void sc(pair<T,U> &p) { sc(p.first), sc(p.second); }
template<typename T> void sc(vector<T> &v) { for (auto &x : v) sc(x); }
template<typename... A> void sc(A&... a) { (sc(a), ...); }


template<typename T> void _pt(const T &x){cout << x;}
template<typename T, typename U> void _pt(const pair<T,U> &p){_pt(p.first); cout << ' '; _pt(p.second);}
template<typename T> void _pt(const vector<T> &v){bool f=1; for(auto &x:v){if(!f) cout<<' '; _pt(x); f=0;}}
template<typename... A> void pt(const A&... a){(_pt(a), ...);}


template<typename T, typename U> bool umin(T &a, const U &b) { return b < a ? (a = b, true) : false; }
template<typename T, typename U> bool umax(T &a, const U &b) { return b > a ? (a = b, true) : false; }
template<typename T> T maxel(const vector<T>& v){ return *max_element(v.begin(), v.end()); }
template<typename T> T minel(const vector<T>& v){ return *min_element(v.begin(), v.end()); }
template<typename T, int N> T maxel(T (&a)[N]) { return *max_element(a, a + N); }
template<typename T, int N> T minel(T (&a)[N]) { return *min_element(a, a + N); }


template<typename C, typename T> auto lb(C& c, const T& x){ return std::lower_bound(c.begin(), c.end(), x); }
template<typename C, typename T> auto ub(C& c, const T& x){ return std::upper_bound(c.begin(), c.end(), x); }

template<typename T> auto lb(std::set<T>& s, const T& x){ return s.lower_bound(x); }
template<typename T> auto ub(std::set<T>& s, const T& x){ return s.upper_bound(x); }
template<typename T> auto lb(const std::set<T>& s, const T& x){ return s.lower_bound(x); }
template<typename T> auto ub(const std::set<T>& s, const T& x){ return s.upper_bound(x); }

#define GET_MACRO(_1,_2,_3,_4,NAME,...) NAME
#define FOR1(n)            for (int i=0; i<(n); ++i)
#define FOR2(i,n)          for (int i=0; i<(n); ++i)
#define FOR3(i,l,r)        for (int i=(l); i<(r); ++i)
#define FOR4(i,l,r,k)      for (int i=(l); i<(r); i+=(k))
#define FOR(...)           GET_MACRO(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define ROF1(n)            for (int i=(n)-1; i>=0; --i)
#define ROF2(i,n)          for (int i=(n)-1; i>=0; --i)
#define ROF3(i,l,r)        for (int i=(r)-1; i>=(l); --i)
#define ROF4(i,l,r,k)      for (int i=(r)-1; i>=(l); i-=(k))
#define ROF(...)           GET_MACRO(__VA_ARGS__, ROF4, ROF3, ROF2, ROF1)(__VA_ARGS__)
#define all(c)   (c).begin(), (c).end()
#define allr(c)  (c).rbegin(), (c).rend()
#define eb       emplace_back
#define mp       make_pair
#define mt       make_tuple
#define fi       first
#define se       second
#define pb       push_back
#define trav(x,a) for (auto &x : (a))
#define sz(a) ((int)(a).size())
#define mem(a,v) memset(a, v, sizeof(a))
#define nl pt("\n")


int32_t main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    int n, k, M;
    sc(n, k, M);

    vi t(k);
    trav(x, t) {
        sc(x); --x;
    }

    using pli = pair<ll, int>;
    using pil = pair<int, ll>;
    vc<vc<pil>> g(n);
    FOR(M) {
        int u, v; ll c;
        sc(u, v, c);
        --u, --v;
        g[u].pb({v, c});
        g[v].pb({u, c});
    }
    
    int F = 1 << k;
    const ll INF = 1e12;
    vvll dp(F, vll(n, INF));
    auto dijkstra = [&](vll &dist) {
        priority_queue<pli, vc<pli>, greater<>> pq;
        FOR(v, n) if(dist[v] < INF) pq.push({dist[v], v});

        while(!pq.empty()) {
            auto [d, v] = pq.top(); pq.pop();
            if(d != dist[v]) continue;
        
            trav(Y, g[v]) {
                ll nd = Y.se + d;
                if(nd < dist[Y.fi]) {
                    dist[Y.fi] = nd;
                    pq.push({nd, Y.fi});
                }
            }
        }
    };

    FOR(k) {
        dp[1 << i][t[i]] = 0;
        dijkstra(dp[1 << i]);
    }

    FOR(m, F) {
        if((m & (m - 1)) == 0) continue;
        for(int sub = m & (m - 1); sub; sub = (sub - 1) & m) {
            int sec = sub ^ m;
            if(sec < sub) continue;
            FOR(v, n) {
                ll a = dp[sub][v], b = dp[sec][v];
                if(a == INF || b == INF) continue;
                umin(dp[m][v], a + b);
            }
        }

        dijkstra(dp[m]);
    }

    ll ans = minel(dp[F - 1]);
    pt(ans); nl;
    
    return 0;
}
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