#include
#include
#include
using namespace std;
const int maxn = 1e5 + 10;
const int INF = 1e9;
vector > graph[maxn];
int n, m;
struct node {
int idx;
int cost;
node () {}
node(int _idx, int _cost) {
idx = _idx;
cost = _cost;
}
bool operator < (const node & tmp) const {
return cost > tmp.cost;
}
};
void dijkstra(int S, int E) {
vector dist(n, INF);
vector visited(n, false);
dist[S] = 0;
priority_queue pq;
pq.push(node(S, 0));
while(!pq.empty()) {
node c = pq.top();
pq.pop();
if(visited[c.idx]) continue;
visited[c.idx] = true;
for(pair tmp : graph[c.idx]) {
int neighbour = tmp.first;
int weight = tmp.second;
if(!visited[neighbour] and c.cost + weight < dist[neighbour]) {
pq.push(node(neighbour, c.cost + weight));
dist[neighbour] = c.cost + weight;
}
}
}
cout << dist[E] << endl;
}
int main() {
cin >> n >> m;
for(int i =0 ; i < m; i++) {
int a, b, c;
cin >> a >> b >> c;
a--; b--;
graph[a].push_back(make_pair(b, c));
graph[b].push_back(make_pair(a, c));
}
dijkstra(0, 4);
return 0;
}
/*
5 5
1 2 2
2 3 4
1 3 2
3 4 5
4 5 6
**/