Submission #392012

#TimeUsernameProblemLanguageResultExecution timeMemory
392012negar_aCities (BOI16_cities)C++14
22 / 100
6011 ms53916 KiB
//!yrt tsuj uoy srettam gnihton no emoc
#include <bits/stdc++.h>
#pragma GCC optimize("O2")
using namespace std;

typedef long long ll;
typedef long double ld;
#define pb push_back
#define mp make_pair
#define pii pair <ll, ll>
#define fast_io ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define F first
#define S second

const int maxn = 2e5 + 5;
int x[maxn], y[maxn];
ll w[maxn];
int im[maxn];
vector <pii> adj[maxn], par[maxn];
ll dp[maxn][35];
ll inf = 1e17;
int n, m, k;

int main(){
	fast_io;
	cin >> n >> k >> m;
	for(int i = 0; i < k; i ++){
		cin >> im[i];
		im[i] --;
	}
	for(int i = 0; i < m; i ++){
		int x, y;
		cin >> x >> y >> w[i];
		x --; y --;
		adj[x].pb({y, i});
		adj[y].pb({x, i});
	}
	ll ans = inf;
	for(int mask = 0; mask < (1 << k); mask ++){
		for(int i = 0; i < n; i ++){
			dp[i][mask] = inf;
		}
	}
	for(int i = 0; i < k; i ++){
		dp[im[i]][1 << i] = 0;
	}
	for(int mask = 1; mask < (1 << k); mask ++){
		for(int m1 = mask; m1; m1 = (m1 - 1) & mask){
			for(int i = 0; i < n; i ++){
				dp[i][mask] = min(dp[i][mask], dp[i][mask ^ m1] + dp[i][m1]);
			}
		}
		
		priority_queue <pii> s;
		for(int i = 0; i < n; i ++){
			if(dp[i][mask] < inf){
				s.push({dp[i][mask], i});
			}
		}
		while(s.size()){
			int we = s.top().F;
			int x = s.top().S;
			s.pop();
			if(dp[x][mask] == we){
				for(auto u : adj[x]){
					if(dp[u.F][mask] > dp[x][mask] + w[u.S]){
						dp[u.F][mask] = dp[x][mask] + w[u.S];		
						s.push({dp[u.F][mask], u.F});
					}
				}
			}
		}
	}
	for(int i = 0; i < n; i ++){
		ans = min(ans, dp[i][(1 << k) - 1]);
	}
	cout << ans;
	
	return 0;
}
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