제출 #57067

#제출 시각아이디문제언어결과실행 시간메모리
57067IvanCCities (BOI16_cities)C++17
51 / 100
6035 ms115704 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<ll,ll> ii; typedef tuple<ll,int,int> trinca; const int MAXN = 2*1e5 + 10; const int MAXK = 7; const int MAXL = 35; const ll INF = 1e15; vector<ii> grafo[MAXN]; ll matriz[MAXN][MAXK]; int N,K,M,qual[MAXK],processado[MAXN]; int jafoi[MAXN][MAXL]; void Dijkstra(int idx){ memset(processado,0,sizeof(processado)); priority_queue<ii, vector<ii> , greater<ii> > pq; pq.push(ii(0,qual[idx])); while(!pq.empty()){ ii davez = pq.top(); pq.pop(); int v = davez.second; ll path = davez.first; if(processado[v]) continue; processado[v] = 1; matriz[v][idx] = path; for(ii aresta : grafo[v]){ int u = aresta.first; ll w = aresta.second; pq.push(ii(path + w,u)); } } } int main(){ cin.tie(0);ios_base::sync_with_stdio(0); cin >> N >> K >> M; for(int i = 0;i<K;i++){ cin >> qual[i]; } for(int i = 1;i<=M;i++){ int u,v,w; cin >> u >> v >> w; grafo[u].push_back(ii(v,w)); grafo[v].push_back(ii(u,w)); } for(int i = 0;i<K;i++) Dijkstra(i); set<trinca> pq; for(int i = 0;i<K;i++){ pq.insert(make_tuple(0,(1 << i),qual[i])); } int alvo = (1 << K) - 1; while(!pq.empty()){ trinca davez = *(pq.begin()); pq.erase(pq.begin()); ll path = get<0>(davez); int bitmask = get<1>(davez), v = get<2>(davez); if(jafoi[v][bitmask]) continue; jafoi[v][bitmask] = 1; if(bitmask == alvo){ cout << path << endl; return 0; } for(int i = 0;i<K;i++){ if(bitmask & (1 << i)) continue; int mascara = bitmask | (1 << i); if(!jafoi[v][mascara]) pq.insert(make_tuple(path + matriz[v][i],mascara, v )); } for(ii aresta : grafo[v]){ int u = aresta.first; ll w = aresta.second; if(!jafoi[u][bitmask]) pq.insert(make_tuple(path + w,bitmask,u)); } } return 0; }
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