#include
#include
#include
using namespace std;
/*
0: (1, 2)
1:
2:
3:
4:
**/
struct node {
int index, shortest_cost;
node(int i, int s) {
index = i;
shortest_cost = s;
}
bool operator < (const node &tmp) const {
return shortest_cost > tmp.shortest_cost;
}
};
int main()
{
int n, m; // broj na teminja, broj na rebra
cin >> n >> m;
vector > graph[n + 5];
for(int i = 0; i < m; i++) {
int a, b, c; // temeto A e povrzano so temeto B i odaleceni se so C
cin >> a >> b >> c;
graph[a].push_back(make_pair(b, c));
graph[b].push_back(make_pair(a, c));
}
int S, E;
cin >> S >> E;
// od kade sakam do kade sakam da najdam najkratok pat
priority_queue pq;
pq.push(node(S, 0));
vector visited(n + 1, false);
while(!pq.empty()) {
node current = pq.top(); // kazi mi koj e najmal sosed
pq.pop();
visited[current.index] = true;
if(current.index == E) {
cout << current.shortest_cost << endl; // ova e najkratkiot pat
break;
}
for(int i = 0; i < graph[current.index].size(); i++) {
int sosed = graph[current.index][i].first;
int pat = graph[current.index][i].second;
if(!visited[sosed]) {
pq.push(node(sosed, current.shortest_cost + pat));
}
}
}
return 0;
}