제출 #1302406

#제출 시각아이디문제언어결과실행 시간메모리
1302406goldencheemsCities (BOI16_cities)C++20
0 / 100
2230 ms73500 KiB
/*DEP TRAI CO J SAI*/
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pu emplace_back
#define ll long long
typedef pair <ll,ll> ii;
const int N=2e5;
long long mod=1e17;
ll n,m,k,y;
ll a[N+1],b[N+1],d[10][N+10],dp[N+10][(1<<6)],ans;
void add(int &a,int b){
    a+=b;
    if(a>=mod) a-=mod;
    }
vector <ii> adj[N+10];
void distra(int s){
        int z=a[s];
        for(int i=1;i<=n;i++) d[s][i]=mod;
        d[s][z]=0;
        priority_queue <ii,vector<ii>,greater<ii> > pq;
        pq.push({0,z});
        while(pq.size()){
            ll du=pq.top().fi,u=pq.top().se;
            pq.pop();
            if(du!=d[s][u]) continue;
            for(auto x:adj[u]){
                ll dv=x.fi+du,v=x.se;
                if(dv<d[s][v]){
                    d[s][v]=dv;
                    pq.push({dv,v});
                }
            }
        }
        }
namespace sub1{
    void solve(){
        ll ans=mod;
        for(int i=1;i<=n;i++){
            ll res=0;
            for(int j=1;j<=k;j++) {
                //if(j==i) continue;
                res+=d[j][i];
            }
            ans=min(ans,res);
        }
        cout<<ans;
        }
    }
void distra2(){
    ans=mod;
    for(int i=1;i<=n;i++){
        for(int j=1;j<(1<<k);j++) dp[i][j]=mod;
    }
    for(int i=1;i<=k;i++){
            dp[a[i]][(1<<(i-1))]=0;
        }
    for(int ma=1;ma<(1<<k);++ma){
        priority_queue <ii ,vector < ii  >,greater <ii > > pq;
        for(int sub=ma;sub>0;sub=((sub-1)&ma)){
            int t=(ma^sub);
            for(int i=1;i<=n;i++){
                dp[i][ma]=min(dp[i][ma],dp[i][t]+dp[i][sub]);
            }
        }
        for(int i=1;i<=n;i++){
            if(dp[i][ma]!=mod){
                pq.push({dp[i][ma],i});
                if(ma==(i<<k)-1) ans=min(ans,dp[i][ma]);
            }
        }

        while(pq.size()){
            ll du=pq.top().fi,u=pq.top().se;
            pq.pop();
            if(dp[u][ma]!=du) continue;
            for(ii z:adj[u]){
                ll dv=du+z.fi,v=z.se;
                if(dp[v][ma]>dv){
                    dp[v][ma]=dv;
                    pq.push({dv,v});
                }
            }
        }
    }
    }
void tinh(){
    cin>>n>>k>>m;
    for(int i=1;i<=k;i++) cin>>a[i];
    for(int i=1;i<=m;i++){
        int u,v,w;
        cin>>u>>v>>w;
        adj[u].pu(w,v);
        adj[v].pu(w,u);
    }
    for(int i=1;i<=k;i++){
        distra(i);
    }
//    if(k<=3){
//        sub1::solve();
//        return;
//    }
    distra2();
    cout<<ans;
    }
int main(){

    ios_base::sync_with_stdio(false);
   // freopen("cities.inp","r",stdin);
    //freopen("cities.out","w",stdout);
    cin.tie(0);
    cout.tie(0);
    tinh();
    return 0;

}



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