Submission #253882

#TimeUsernameProblemLanguageResultExecution timeMemory
253882super_j6Cities (BOI16_cities)C++14
74 / 100
6094 ms235396 KiB
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <string.h>
#include <vector>
#include <queue>
using namespace std;
#define endl '\n'
#define ll long long
#define pi pair<ll, ll>
#define pii pair<ll, pi>
#define f first
#define s second

const int mxn = 100000, mxk = 5;
int n, m, k;
ll d[1 << mxk][mxn];
vector<pi> g[mxn];
auto cmp = [](pii x, pii y){ return x.f > y.f;};
priority_queue<pii, vector<pii>, decltype(cmp)> pq(cmp);

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	
	cin >> n >> k >> m;
	
	memset(d, 0x3f, sizeof(d));
	memset(d[0], 0, sizeof(d[0]));
	for(int i = 0; i < k; i++){
		int x;
		cin >> x;
		x--;
		pq.push({d[1 << i][x] = 0, {1 << i, x}});
	}
	
	for(int i = 0; i < m; i++){
		int u, v, w;
		cin >> u >> v >> w;
		u--, v--;
		g[u].push_back({v, w});
		g[v].push_back({u, w});
	}
	
	ll ret = 0x3f3f3f3f3f3f3f3f;
	while(!pq.empty()){
		ll dbc = pq.top().f, b = pq.top().s.f, c = pq.top().s.s;
		pq.pop();
		if(dbc != d[b][c]) continue;
		if(b == (1 << k) - 1) ret = min(ret, d[b][c]);
		for(pi i : g[c])
		for(int j = 0; j < (1 << k); j++){
			ll dd = dbc + d[j ^ b][i.f] + i.s;
			if((j & b) == b && dd < d[j][i.f]){
				pq.push({d[j][i.f] = dd, {j, i.f}});
			}
		}
	}
	
	cout << ret << endl;

	return 0;
}
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