This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
#define block_of_code if(true)
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a / gcd(a, b) * b;}
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
double cur = rngesus(0, MASK(60) - 1);
cur /= MASK(60) - 1;
return l + cur * (r - l);
}
template <class T1, class T2>
bool maximize(T1 &a, T2 b){
if (a < b) {a = b; return true;}
return false;
}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){
if (a > b) {a = b; return true;}
return false;
}
template <class T>
void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
for(auto item: container) out << item << separator;
out << finish;
}
template <class T>
void remove_dup(vector<T> &a){
sort(ALL(a));
a.resize(unique(ALL(a)) - a.begin());
}
struct P{
int i; ll w;
P(){}
P(int _i, ll _w){
i = _i, w = _w;
}
};
struct compare{
bool operator () (P a, P b){
return a.w > b.w;
}
};
const int N = 1e5 + 69;
const ll INF = 1e18 + 69;
int n, k, m;
vector<P> graph[N];
ll dp[MASK(5)][N];
int main(void){
ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
clock_t start = clock();
cin >> n >> k >> m;
vector<int> important(k);
for(int i = 0; i<k; ++i) cin >> important[i];
for(int i = 0; i<m; ++i){
int u, v, w; cin >> u >> v >> w;
graph[u].push_back(P(v, w));
graph[v].push_back(P(u, w));
}
for(int mask = 1; mask < MASK(k); ++mask)
for(int i = 1; i<=n; ++i){
dp[mask][i] = INF;
}
for(int i = 0; i<k; ++i){
dp[MASK(i)][important[i]] = 0;
}
for(int mask = 1; mask < MASK(k); ++mask){
for(int _mask = (mask - 1) & mask; _mask > 0; _mask = (_mask - 1) & mask){
for(int i = 1; i<=n; ++i) minimize(dp[mask][i], dp[_mask][i] + dp[mask - _mask][i]);
}
vector<bool> visited(n+1);
priority_queue<P, vector<P>, compare> pq;
for(int i = 1; i<=n; ++i) if (dp[mask][i] != INF){
pq.push(P(i, dp[mask][i]));
}
while(pq.size()){
P u = pq.top(); pq.pop();
if (visited[u.i]) continue;
visited[u.i] = true;
for(P v: graph[u.i])
if (minimize(dp[mask][v.i], dp[mask][u.i] + v.w)){
pq.push(P(v.i, dp[mask][v.i]));
}
}
}
ll ans = INF;
for(int i= 1; i<=n; ++i) minimize(ans, dp[MASK(k) - 1][i]);
cout << ans << "\n";
cerr << "Time elapsed: " << clock() - start << " ms\n";
return 0;
}
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