import java.util.*; import java.io.*; import java.math.*;
public class Main{
	//見なくていいよ　ここから------------------------------------------
	static class InputIterator{
		ArrayList<String> inputLine = new ArrayList<>(1024);
		int index = 0; int max; String read;
		InputIterator(){
			try{
				BufferedReader br = new BufferedReader(new InputStreamReader(System.in, "UTF-8"));
				while((read = br.readLine()) != null){
					inputLine.addAll(Arrays.asList(read.split(" ")));
				}
			}catch(IOException e){}
			max = inputLine.size();
		}
		boolean hasNext(){return (index < max);}
		String next(){
			if(hasNext()){
				return inputLine.get(index++);
			}else{
				throw new IndexOutOfBoundsException("There is no more input");
			}
		}
	}
	static HashMap<Integer, String> CONVSTR = new HashMap<>();
	static InputIterator ii = new InputIterator();//This class cannot be used in reactive problem.
	static PrintWriter out = new PrintWriter(System.out);
	static void flush(){out.flush();}
	static void myout(Object t){out.println(t);}
	static void myerr(Object... t){System.err.print("debug:");System.err.println(Arrays.deepToString(t));}
	static String next(){return ii.next();}
	static boolean hasNext(){return ii.hasNext();}
	static int nextInt(){return Integer.parseInt(next());}
	static long nextLong(){return Long.parseLong(next());}
	static double nextDouble(){return Double.parseDouble(next());}
	static ArrayList<String> nextCharArray(){return myconv(next(), 0);}
	static ArrayList<String> nextStrArray(int size){
		ArrayList<String> ret = new ArrayList<>(size);
		for(int i = 0; i < size; i++){
			ret.add(next());
		}
		return ret;
	}
	static ArrayList<Integer> nextIntArray(int size){
		ArrayList<Integer> ret = new ArrayList<>(size);
		for(int i = 0; i < size; i++){
			ret.add(Integer.parseInt(next()));
		}
		return ret;
	}
	static ArrayList<Long> nextLongArray(int size){
		ArrayList<Long> ret = new ArrayList<>(size);
		for(int i = 0; i < size; i++){
			ret.add(Long.parseLong(next()));
		}
		return ret;
	}
	@SuppressWarnings("unchecked")
	static String myconv(Object list, int no){//only join
		StringBuilder sb = new StringBuilder("");
		String joinString = CONVSTR.get(no);
		if(list instanceof String[]){
			return String.join(joinString, (String[])list);
		}else if(list instanceof long[]){
			long[] tmp = (long[])list;
			if(tmp.length == 0){
				return "";
			}
			sb.append(String.valueOf(tmp[0]));
			for(int i = 1; i < tmp.length; i++){
				sb.append(joinString).append(String.valueOf(tmp[i]));
			}
			return sb.toString();
		}else if(list instanceof int[]){
			int[] tmp = (int[])list;
			if(tmp.length == 0){
				return "";
			}
			sb.append(String.valueOf(tmp[0]));
			for(int i = 1; i < tmp.length; i++){
				sb.append(joinString).append(String.valueOf(tmp[i]));
			}
			return sb.toString();
		}else if(list instanceof ArrayList){
			ArrayList tmp = (ArrayList)list;
			if(tmp.size() == 0){
				return "";
			}
			sb.append(tmp.get(0));
			for(int i = 1; i < tmp.size(); i++){
				sb.append(joinString).append(tmp.get(i));
			}
			return sb.toString();
		}else{
			throw new ClassCastException("Don't join");
		}
	}
	static ArrayList<String> myconv(String str, int no){//only split
		String splitString = CONVSTR.get(no);
		return new ArrayList<String>(Arrays.asList(str.split(splitString)));
	}
	static ArrayList<String> myconv(String str, String no){
		return new ArrayList<String>(Arrays.asList(str.split(no)));
	}
	public static void main(String[] args){
		CONVSTR.put(8, " "); CONVSTR.put(9, "\n"); CONVSTR.put(0, "");
		solve();flush();
	}
	//見なくていいよ　ここまで------------------------------------------
	//このコードをコンパイルするときは、「-encoding UTF-8」を指定すること
	static void solve(){//ここがメイン関数
		int N = nextInt();
		int M = nextInt();
		int K = nextInt();
		int[][] V = new int[N + 1007][N + 1007];
		for(int i = 1; i <= N; i++){
			Arrays.fill(V[i], 1000000000);
			V[i][i] = 0;
		}
		ArrayList<Integer> klist = nextIntArray(K);
		Collections.sort(klist);
		HashMap<Integer, Edge> E = new HashMap<>();
		HashMap<Integer, Integer> Eno = new HashMap<>();
		String ks = "";
		int now = 0;
		for(int i = 1; i <= M; i++){
			int A = nextInt();
			int B = nextInt();
			int C = nextInt();
			V[A][B] = C;
			V[B][A] = C;
			if(klist.contains(i)){
				E.put(i, new Edge(A, B, C));
				Eno.put(now, i);
				ks += now;
				now++;
			}
		}

		for(int k = 1; k <= N; k++){
			for(int i = 1; i <= N; i++){
				for(int j = 1; j <= N; j++){
					V[i][j] = Math.min(V[i][j], V[i][k] + V[k][j]);
				}
			}
		}
		
		int output = 1000000000;
		while(!ks.equals("Final")){
			for(int i = 0; i < (1 << K); i++){
				ArrayList<Edge> select = new ArrayList<>();
				for(int j = 0; j < K; j++){
					Edge key = E.get(Eno.get(ks.charAt(j) - '0'));
					if((i & (1 << j)) != 0){
						select.add(new Edge(key.A, key.B, key.C));
					}else{
						select.add(new Edge(key.B, key.A, key.C));
					}
				}
				int sum = 0;
				for(int j = 0; j < K; j++){
					sum += select.get(j).C;
					if(j < K - 1){
						sum += V[select.get(j).B][select.get(j + 1).A];
					}
				}
				sum += V[1][select.get(0).A];
				sum += V[select.get(K - 1).B][N];
				output = Math.min(output, sum);
			}
			
			ks = nextPermutation(ks);
		}
		myout(output);
	}
	//メソッド追加エリア　ここから

static class Edge{
	int A;
	int B;
	int C;
	Edge(int A, int B, int C){
		this.A = A;
		this.B = B;
		this.C = C;
	}
	public String toString(){
		return "A : " + A + ", B : " + B;
	}
}

static String nextPermutation(String s){
    ArrayList<Character> list = new ArrayList<>();
    for (int i = 0; i < s.length(); i++) list.add(s.charAt(i));
    int pivotPos = -1;
    char pivot = 0;
    for (int i = list.size() - 2; i >= 0; i--) {
        if (list.get(i) < list.get(i + 1)) {
            pivotPos = i;
            pivot = list.get(i);
            break;
        }
    }
    //s is order by asc
    if (pivotPos == -1 && pivot == 0) return "Final";
    int L = pivotPos + 1;
    int R = list.size() - 1;
    int minPos = -1;
    char min = Character.MAX_VALUE;
    for (int i = R; i >= L; i--) {
        if (pivot < list.get(i) && list.get(i) < min) {
            min = list.get(i);
            minPos = i;
        }
    }
    Collections.swap(list, pivotPos, minPos);
    Collections.sort(list.subList(L, R+1));
    StringBuilder sb = new StringBuilder();
    for (int i = 0; i < list.size(); i++) sb.append(list.get(i));
    return sb.toString();
}

	//メソッド追加エリア　ここまで
}