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#include <fstream>
#include <queue>
#include <vector>
#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")
using namespace std;
class InParser {
private:
FILE *fin;
char *buff;
int sp;
char read_ch() {
++sp;
if (sp == 4096) {
sp = 0;
fread(buff, 1, 4096, fin);
}
return buff[sp];
}
public:
InParser(const char* nume) {
fin = fopen(nume, "r");
buff = new char[4096]();
sp = 4095;
}
InParser& operator >> (int &n) {
char c;
while (!isdigit(c = read_ch()) && c != '-');
int sgn = 1;
if (c == '-') {
n = 0;
sgn = -1;
} else {
n = c - '0';
}
while (isdigit(c = read_ch())) {
n = 10 * n + c - '0';
}
n *= sgn;
return *this;
}
InParser& operator >> (long long &n) {
char c;
n = 0;
while (!isdigit(c = read_ch()) && c != '-');
long long sgn = 1;
if (c == '-') {
n = 0;
sgn = -1;
} else {
n = c - '0';
}
while (isdigit(c = read_ch())) {
n = 10 * n + c - '0';
}
n *= sgn;
return *this;
}
} f("ubuntzei.in");
class OutParser {
private:
FILE *fout;
char *buff;
int sp;
void write_ch(char ch) {
if (sp == 50000) {
fwrite(buff, 1, 50000, fout);
sp = 0;
buff[sp++] = ch;
} else {
buff[sp++] = ch;
}
}
public:
OutParser(const char* name) {
fout = fopen(name, "w");
buff = new char[50000]();
sp = 0;
}
~OutParser() {
fwrite(buff, 1, sp, fout);
fclose(fout);
}
OutParser& operator << (int vu32) {
if (vu32 <= 9) {
write_ch(vu32 + '0');
} else {
(*this) << (vu32 / 10);
write_ch(vu32 % 10 + '0');
}
return *this;
}
OutParser& operator << (long long vu64) {
if (vu64 <= 9) {
write_ch(vu64 + '0');
} else {
(*this) << (vu64 / 10);
write_ch(vu64 % 10 + '0');
}
return *this;
}
OutParser& operator << (char ch) {
write_ch(ch);
return *this;
}
OutParser& operator << (const char *ch) {
while (*ch) {
write_ch(*ch);
++ch;
}
return *this;
}
} g("ubuntzei.out");
int n, m, k;
priority_queue < pair <int, int>, vector <pair <int, int> >, greater <pair <int, int> > > q;
vector <int> loc, cost;
vector <vector <pair <int, int> > > a;
vector <bool> viz;
void dijkstra(int popas)
{
for (int i = 1; i <= n; ++i) {
viz[i] = 0;
cost[i] = 1 << 30;
}
cost[popas] = 0;
q.push({0, popas});
while (!q.empty()) {
pair <int, int> nod = q.top();
q.pop();
if (viz[nod.second]) {
continue;
}
viz[nod.second] = 1;
for (auto vecin : a[nod.second]) {
if (vecin.second + nod.first < cost[vecin.first]) {
cost[vecin.first] = vecin.second + nod.first;
q.push({cost[vecin.first], vecin.first});
}
}
}
}
int main()
{
f >> n >> m >> k;
a.resize(n + 1), loc.resize(k + 2), viz.resize(n + 1, 0), cost.resize(n + 1, (1 << 30));
for (int i = 1; i <= k; ++i) {
int x;
f >> x;
loc[i] = x;
}
for (int i = 1; i <= m; ++i) {
int x, y, z;
f >> x >> y >> z;
a[x].push_back({y, z});
a[y].push_back({x, z});
}
loc[0] = 1;
++k;
loc[k] = n;
vector <vector <int> > matCost(k + 1, vector <int> (k + 1, (1 << 30)));
for (int i = 0; i <= k; ++i) {
dijkstra(loc[i]);
for (int j = 0; j <= k; ++j) {
matCost[i][j] = matCost[j][i] = cost[loc[j]];
}
}
vector <vector <int> > dp((1 << (k + 1)), vector <int> (k + 1, (1 << 30)));
dp[0][0] = 0;
for (int mask = 0; mask < (1 << (k + 1)); ++mask) {
for (int i = 0; i <= k; ++i) {
if (mask & (1 << i)) {
for (int j = 0; j <= k; ++j) {
dp[mask][i] = min(dp[mask][i], dp[mask ^ (1 << i)][j] + matCost[i][j]);
}
}
}
}
g << dp[(1 << (k + 1)) - 1][k];
return 0;
}