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;
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifndef ONLINE_JUDGE
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
#define debug(x...)
#endif
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, int> pli;
const int maxn = 100010;
const int maxm = 200010;
int n, m;
ll ans;
vector<int> special;
vector<int> adj[maxn];
struct Edge {
int u, v, w, w0;
inline int other(int x) {
return x == u ? v : u;
}
} edges[maxm];
ll dist[maxm];
int pre[maxm];
void dijkstra(int source) {
priority_queue<pli, vector<pli>, greater<pli>> pq;
pq.emplace(0, source);
fill(dist, dist+n+1, 1e18);
dist[source] = 0;
pre[source] = -1;
while (!pq.empty()) {
pli top = pq.top();
pq.pop();
ll d = top.first;
int u = top.second;
if (d > dist[u]) continue;
for (int ei : adj[u]) {
int v = edges[ei].other(u);
ll w = edges[ei].w;
if (d + w < dist[v]) {
dist[v] = d + w;
pq.emplace(d + w, v);
pre[v] = ei;
}
}
}
}
int main() {
ios::sync_with_stdio(false); cin.tie(0);
int k;
cin >> n >> k >> m;
for (int i = 0; i < k; ++i) {
int x;
cin >> x;
special.push_back(x);
}
for (int i = 1; i <= m; ++i) {
cin >> edges[i].u >> edges[i].v >> edges[i].w0;
adj[edges[i].u].push_back(i);
adj[edges[i].v].push_back(i);
}
sort(special.begin(), special.end());
ll ans = 1e18;
do {
for (int i = 1; i <= m; ++i) {
edges[i].w = edges[i].w0;
}
// debug(special);
ll res = 0;
for (int i = 1; i < k; ++i) {
dijkstra(special[i]);
int bestnd = -1;
for (int j = 0; j < i; ++j) {
if (bestnd == -1 || dist[special[j]] < dist[bestnd]) {
bestnd = special[j];
}
}
// debug(special[i], bestnd);
res += dist[bestnd];
while (bestnd != special[i]) {
int ei = pre[bestnd];
edges[ei].w = 0;
bestnd = edges[ei].other(bestnd);
}
}
ans = min(ans, res);
} while (next_permutation(special.begin(), special.end()));
cout << ans << endl;
}
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