This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/// dwuy: _,\,,,_\,__,\,,_
#include <bits/stdc++.h>
#define fastIO ios_base::sync_with_stdio(false); cin.tie(NULL)
#define file(a) freopen(a".inp","r",stdin); freopen(a".out", "w",stdout)
#define fi first
#define se second
#define endl "\n"
#define len(s) int32_t(s.length())
#define MASK(k)(1LL<<(k))
#define TASK ""
#define int long long
using namespace std;
typedef tuple<int, int, int> tpiii;
typedef pair<double, double> pdd;
typedef pair<int, int> pii;
typedef long long ll;
const long long OO = 1e18;
const int MOD = 1e9 + 7;
const int INF = 1e9;
const int MX = 100005;
int n, k, m;
int a[10];
vector<pair<int, int>> G[MX];
vector<int> dp[MASK(5)];
int ans[MASK(5)];
int d[6][MX];
int p[6][MX];
void nhap(){
cin >> n >> k >> m;
for(int i=0; i<k; i++) cin >> a[i];
for(int i=1; i<=m; i++){
int u, v, c;
cin >> u >> v >> c;
G[u].push_back({v, c});
G[v].push_back({u, c});
}
}
void solve(){
for(int t=0; t<k; t++){
memset(d[t], 0x3f, sizeof d[t]);
d[t][a[t]] = 0;
priority_queue<pii, vector<pii>, greater<pii>> Q;
Q.push({0, a[t]});
while(Q.size()){
int du, u; tie(du, u) = Q.top();
Q.pop();
if(du != d[t][u]) continue;
for(pii &tmp: G[u]){
int v, c;
tie(v, c) = tmp;
if(du + c < d[t][v]){
p[t][v] = u;
d[t][v] = du + c;
Q.push({du+c, v});
}
}
}
}
memset(ans, 0x3f, sizeof ans);
for(int mask=1; mask<MASK(k); mask<<=1){
int u = __lg(mask);
dp[mask].push_back(a[u]);
ans[mask] = 0;
}
for(int mask=1; mask<MASK(k)-1; mask++){
for(int t=0; t<k; t++) if(!(mask&MASK(t))){
int cost = OO;
int Mask = mask^MASK(t);
for(int u: dp[mask]) cost = min(cost, d[t][u]);
if(ans[mask] + cost >= ans[Mask]) continue;
ans[Mask] = ans[mask] + cost;
dp[Mask] = dp[mask];
for(int u: dp[mask]) if(d[t][u] == cost){
while((u = p[t][u])!=0) dp[Mask].push_back(u);
break;
}
}
}
cout << ans[MASK(k) - 1];
}
int32_t main(){
fastIO;
//file(TASK);
nhap();
solve();
return 0;
}
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