### BUGGY CODE ###

#!/usr/bin/env python3
import sys
from itertools import permutations

def solve(N: int, M: int, R: int, r: "List[int]", A: "List[int]", B: "List[int]", C: "List[int]"):

    '''
    Warshall-Floyd
    input:  c[|V|][|V|]
            input example to from cost
            (c[i][i] == 0)
    Output: Minimun cost of all paths in the inputed graph 
    '''
    V = N
    INF = 1<<32
    d = [[INF] * (N+1) for i in range(N+1)]

    for i in range(M):
        d[A[i]][B[i]] = C[i]
        d[B[i]][A[i]] = C[i]

    for k in range(1,N+1):
        for i in range(1,N+1):
            for j in range(1,N+1):
                d[i][j] = min(d[i][j], d[i][k]+d[k][j])


    ans = INF
    
    for i in permutations(r):
        ta = 0
        for x in range(R-1):
            ta += d[i[x]][i[x+1]]
        
        if(ta < ans):
            ans = ta

    print(ans)

    return


# Generated by 1.1.5 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    N = int(next(tokens))  # type: int
    M = int(next(tokens))  # type: int
    R = int(next(tokens))  # type: int
    r = [int(next(tokens)) for _ in range(R)]  # type: "List[int]"
    A = [int()] * (M)  # type: "List[int]"
    B = [int()] * (M)  # type: "List[int]"
    C = [int()] * (M)  # type: "List[int]"
    for i in range(M):
        A[i] = int(next(tokens))
        B[i] = int(next(tokens))
        C[i] = int(next(tokens))
    solve(N, M, R, r, A, B, C)

if __name__ == '__main__':
    main()


### FIXED CODE ###

#!/usr/bin/env python3
import sys
from itertools import permutations

def solve(N: int, M: int, R: int, r: "List[int]", A: "List[int]", B: "List[int]", C: "List[int]"):

    '''
    Warshall-Floyd
    input:  c[|V|][|V|]
            input example to from cost
            (c[i][i] == 0)
    Output: Minimun cost of all paths in the inputed graph 
    '''
    V = N
    INF = 1<<32
    d = [[INF] * (N+1) for i in range(N+1)]

    for i in range(M):
        d[A[i]][B[i]] = C[i]
        d[B[i]][A[i]] = C[i]

    for k in range(1,N+1):
        for i in range(1,N+1):
            for j in range(1,N+1):
                d[i][j] = min(d[i][j], d[i][k]+d[k][j])


    ans = INF
    
    for i in permutations(r):
        ta = 0
        for x in range(R-1):
            ta += d[i[x]][i[x+1]]
        
        if(ta < ans):
            ans = ta

    print(ans)

    return


# Generated by 1.1.5 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    N = int(next(tokens))  # type: int
    M = int(next(tokens))  # type: int
    R = int(next(tokens))  # type: int
    r = [int(next(tokens)) for _ in range(R)]  # type: "List[int]"
    A = [int()] * (M)  # type: "List[int]"
    B = [int()] * (M)  # type: "List[int]"
    C = [int()] * (M)  # type: "List[int]"
    for i in range(M):
        A[i] = int(next(tokens))
        B[i] = int(next(tokens))
        C[i] = int(next(tokens))
    solve(N, M, R, r, A, B, C)

if __name__ == '__main__':
    main()