#include <iostream>
#include <fstream>
#include <bitset>
#include <vector>
#include <queue>
#include <cstring>
#define INF 0x7FFFFFF
using namespace std;
/**
`-.`'.-'
`-. .-'.
`-. -./\.- .-'
-. /_|\ .-
`-. `/____\' .-'.
`-. -./.-""-.\.- '
`-. /< (()) >\ .-'
- .`/__`-..-'__\' .-
,...`-./___|____|___\.-'.,.
,-' ,` . . ', `-,
,-' ________________ `-,
,'/____|_____|_____\
/ /__|_____|_____|___\
/ /|_____|_____|_____|_\
' /____|_____|_____|_____\
.' /__|_____|_____|_____|___\
,' /|_____|_____|_____|_____|_\
,,---''--...___...--'''--.. /../____|_____|_____|_____|_____\ ..--```--...___...--``---,,
'../__|_____|_____|_____|_____|___\
\ ) '.:/|_____|_____|_____|_____|_____|_\ ( /
)\ / ) ,':./____|_____|_____|_____|_____|_____\ ( \ /(
/ / ( ( /:../__|_____|_____|_____|_____|_____|___\ ) ) \ \
| | \ \ /.../|_____|_____|_____|_____|_____|_____|_\ / / | |
.-.\ \ \ \ '..:/____|_____|_____|_____|_____|_____|_____\ / / / /.-.
(= )\ `._.' | \:./ _ _ ___ ____ ____ _ _ _ _ _ _ _ __\ | `._.' /( =)
\ (_) ) \/ \ ( (_) /
\ `----' """""""""""""""""""""""""""""""""""""""""""""" `----' /
\ ____\__ __/____ /
\ (=\ \ / /-) /
\_)_\ \ / /_(_/
\ \ / /
) ) _ _ ( (
( (,-' `-..__ __..-' `-,) )
\_.-'' ``-..____ ____..-'' ``-._/
`-._ ``--...____...--'' _.-'
`-.._ _..-'
`-..__ FORTIS FORTUNA ADIUVAT __..-'
``-..____ ____..-''
``--...____...--''
*/
class parser{
public:
parser() {}
parser(const char *file_name){
input_file.open(file_name,ios::in | ios::binary);
input_file.sync_with_stdio(false);
index&=0;
input_file.read(buffer,SIZE);}
inline parser &operator >>(int &n){
for (;buffer[index]<'0' or buffer[index]>'9';inc());
n&=0;
//sign&=0;
//sign|=(buffer[index-1]=='-');
for (;'0'<=buffer[index] and buffer[index]<='9';inc())
n=(n<<1)+(n<<3)+buffer[index]-'0';
//n^=((n^-n)&-sign);
return *this;}
~parser(){
input_file.close();}
private:
fstream input_file;
static const int SIZE=0x400000; ///4MB
char buffer[SIZE];
int index/*,sign*/;
inline void inc(){
if(++index==SIZE)
index=0,input_file.read(buffer,SIZE);}
};
class writer{
public:
writer() {};
writer(const char *file_name){
output_file.open(file_name,ios::out | ios::binary);
output_file.sync_with_stdio(false);
index&=0;}
inline writer &operator <<(int target){
aux&=0;
n=target;
if (!n)
nr[aux++]='0';
for (;n;n/=10)
nr[aux++]=n%10+'0';
for(;aux;inc())
buffer[index]=nr[--aux];
return *this;}
inline writer &operator <<(const char *target){
aux&=0;
while (target[aux])
buffer[index]=target[aux++],inc();
return *this;}
~writer(){
output_file.write(buffer,index);output_file.close();}
private:
fstream output_file;
static const int SIZE=0x200000; ///2MB
int index,aux,n;
char buffer[SIZE],nr[24];
inline void inc(){
if(++index==SIZE)
index&=0,output_file.write(buffer,SIZE);}
};
parser f ("ubuntzei.in");
writer t ("ubuntzei.out");
struct edge{
int to,cost;
};
vector <edge> v[2010];
int target[2010],best,best_node,n,m,k;
void bellman_ford(int nod){
vector <int> dist(2010,INF);
bitset <2010> in_queue;
queue <int> q;
q.push(nod);
in_queue[nod]=true;
dist[nod]=0;
while (!q.empty()){
int current=q.front();
in_queue[current]=false;
if (target[current] and dist[current]<best)
if (current!=n or (current==n and !k))
best=dist[current],
best_node=current;
q.pop();
for (auto i:v[current])
if (dist[i.to]>dist[current]+i.cost){
dist[i.to]=dist[current]+i.cost;
if (!in_queue[i.to])
q.push(i.to),
in_queue[i.to]=true;
}
}
}
int main()
{
f>>n>>m>>k;
for (int aux,i=0;i<k;++i)
f>>aux,
target[aux]=true;
target[n]=true;
for (int x,y,c,i=0;i<m;++i)
f>>x>>y>>c,
v[x].push_back({y,c}),
v[y].push_back({x,c});
int current=1,drum=0;
while (k){
best=INF;
bellman_ford(current);
drum+=best;
current=best_node;
target[best_node]=false;
--k;
}
best=INF;
bellman_ford(current);
drum+=best;
t<<drum;
return 0;
}