#include <fstream>
#include <vector>
#include <queue>
#define N 50001
using namespace std;
ifstream cin("dijkstra.in");
ofstream cout("dijkstra.out");
int n, m;
vector<pair<int, int>> V[N];
void Dijkstra(int x){
    priority_queue<pair<int, int>, vector<pair<int, int> >, greater<pair<int, int> > > Q;
    Q.push({0, x});
    int dist[N];
    for(int i=1; i<=n; i++)
        dist[i] = ((1<<31)-1);
    dist[x] = 0;
    bool frv[N] = {false};
    while(!Q.empty()){
        int nod = Q.top().second;
        if(frv[nod] == false){
            for(int i=0; i<V[nod].size(); i++){
                int v = V[nod][i].first, c = V[nod][i].second;
                if(frv[v] == false && dist[v] > dist[nod] + c){
                    dist[v] = dist[nod] + c;
                    Q.push({dist[v], v});
                }
            }
            frv[nod] = true;
        }
        Q.pop();
    }
    for(int i=2; i<=n; i++)
        cout << dist[i] << ' ';
}
int main()
{
    cin >> n >> m;
    for(int i=1; i<=m; i++){
        int x1, x2, cost;
        cin >> x1 >> x2 >> cost;
        V[x1].push_back({x2, cost});
    }
    Dijkstra(1);
    return 0;
}