using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static int[] NList => ReadLine().Split().Select(int.Parse).ToArray(); static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray(); public static void Main() { Solve(); } static void Solve() { var c = NList; var (n, m, k) = (c[0], c[1], c[2]); var r = NList; var map = NArr(m); Array.Sort(r); var tree = new List<(int to, int len)>[n]; for (var i = 0; i < tree.Length; ++i) tree[i] = new List<(int to, int len)>(); for (var i = 0; i < map.Length; ++i) { tree[map[i][0] - 1].Add((map[i][1] - 1, map[i][2])); tree[map[i][1] - 1].Add((map[i][0] - 1, map[i][2])); } var re = new int[k * 2 + 2]; re[1] = n - 1; for (var i = 0; i < k; ++i) { re[i * 2 + 2] = map[r[i] - 1][0] - 1; re[i * 2 + 3] = map[r[i] - 1][1] - 1; } var mx = new int[k * 2 + 2, k * 2 + 2]; for (var i = 0; i < re.Length; ++i) { var len = GetLen(re[i], tree); for (var j = 0; j < re.Length; ++j) { if (j < 2) mx[i, j] = len[re[j]]; else mx[i, j] = len[re[j ^ 1]] + map[r[j / 2 - 1] - 1][2]; } } var bitmax = 1 << k; var dp = new int[bitmax, k * 2]; for (var i = 0; i < bitmax; ++i) for (var j = 0; j < k * 2; ++j) dp[i, j] = INF; dp[0, 0] = 0; for (var b = 0; b < bitmax; ++b) { if (b == 0) { for (var next = 0; next < k * 2; ++next) dp[1 << next / 2, next] = mx[0, next + 2]; } else { for (var prev = 0; prev < k * 2; ++prev) for (var next = 0; next < k * 2; ++next) { if ((b & (1 << prev / 2)) == 0) continue; if ((b & (1 << next / 2)) != 0) continue; dp[b | (1 << next / 2), next] = Math.Min(dp[b | (1 << next / 2), next], dp[b, prev] + mx[prev + 2, next + 2]); } } } var ans = INF; for (var i = 0; i < k * 2; ++i) ans = Math.Min(ans, dp[bitmax - 1, i] + mx[i + 2, 1]); WriteLine(ans); } static void DebugTable(T[,] table) { Console.WriteLine("{"); for (var i = 0; i < table.GetLength(0); ++i) { var s = i == 0 ? "{" : " "; for (var j = 0; j < table.GetLength(1); ++j) { s += j > 0 ? ", " : ""; s += table[i, j].ToString(); } s += i == table.GetLength(0) - 1 ? "}" : ""; Console.WriteLine(s); } Console.WriteLine("}"); } static int INF = int.MaxValue / 2; static int[] GetLen(int start, List<(int to, int len)>[] tree) { var ans = Enumerable.Repeat(INF, tree.Length).ToArray(); ans[start] = 0; var q = new PriorityQueue<(int to, int len), int>(); q.Enqueue((start, 0), 0); while (q.Count > 0) { var cur = q.Dequeue(); if (ans[cur.to] != cur.len) continue; foreach (var next in tree[cur.to]) { if (ans[next.to] <= cur.len + next.len) continue; ans[next.to] = cur.len + next.len; q.Enqueue((next.to, ans[next.to]), ans[next.to]); } } return ans; } }