Submission #1012694

#TimeUsernameProblemLanguageResultExecution timeMemory
1012694hengliaoCities (BOI16_cities)C++17
14 / 100
378 ms39668 KiB
#include<bits/stdc++.h> #include <chrono> #include <random> using namespace std; #define F first #define S second #define pb push_back #define vll vector<ll> #define pll pair<ll, ll> typedef long long ll; const ll mxN=2e5+5; const ll inf=1e18; ll n, m, k; vector<pll> adj[mxN]; ll dis[mxN][5]; ll con[5]; bool visited[mxN]; void solve(){ cin>>n>>k>>m; for(ll i=0;i<k;i++){ cin>>con[i]; } for(ll i=0;i<m;i++){ ll u, v, w; cin>>u>>v>>w; adj[u].pb({v, w}); adj[v].pb({u, w}); } if(k==2){ //memset(visited, 0, sizeof(visited)); memset(dis, -1, sizeof(dis)); priority_queue<pll, vector<pll>, greater<pll>> pq; pq.push({0, con[0]}); while(!pq.empty()){ pll cur=pq.top(); pq.pop(); if(dis[cur.S][0]!=-1) continue; dis[cur.S][0]=cur.F; for(auto &[x, y]:adj[cur.S]){ pq.push({cur.F+y, x}); } } cout<<dis[con[1]][0]<<'\n'; return; } else if(k==3){ memset(dis, -1, sizeof(dis)); for(ll i=0;i<3;i++){ priority_queue<pll, vector<pll>, greater<pll>> pq; pq.push({0, con[i]}); while(!pq.empty()){ pll cur=pq.top(); pq.pop(); if(dis[cur.S][i]!=-1) continue; dis[cur.S][i]=cur.F; for(auto &[x, y]:adj[cur.S]){ pq.push({cur.F+y, x}); } } } ll ans=inf; for(ll i=1;i<=n;i++){ ans=min(ans, dis[i][0]+dis[i][1]+dis[i][2]); } cout<<ans<<'\n'; return; } else if(k==4){ memset(dis, -1, sizeof(dis)); for(ll i=0;i<4;i++){ priority_queue<pll, vector<pll>, greater<pll>> pq; pq.push({0, con[i]}); while(!pq.empty()){ pll cur=pq.top(); pq.pop(); if(dis[cur.S][i]!=-1) continue; dis[cur.S][i]=cur.F; for(auto &[x, y]:adj[cur.S]){ pq.push({cur.F+y, x}); } } } ll ans=inf; for(ll i=1;i<=n;i++){ /*cout<<i<<' '<<dis[i][0]+dis[i][1]+dis[i][2]+dis[i][3]<<'\n'; for(ll j=0;j<4;j++){ cout<<dis[i][j]<<' '; } cout<<'\n';*/ ans=min(ans, dis[i][0]+dis[i][1]+dis[i][2]+dis[i][3]); } //cout<<ans<<'\n'; for(ll ex=0;ex<4;ex++){ ll mn=inf; for(ll i=0;i<4;i++){ if(i==ex){ continue; } mn=min(mn, dis[con[i]][ex]); } for(ll mid=1;mid<=n;mid++){ ll tep=0; for(ll i=0;i<4;i++){ if(i==ex) continue; tep+=dis[mid][i]; } tep+=mn; ans=min(ans, tep); } } cout<<ans<<'\n'; return; } } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); solve(); return 0; }
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