#include <fstream>
#include <queue>
#include <vector>

using namespace std;

const int NMAX = 50000 + 5;
const int MMAX = 5 * NMAX;
const int INF = 1000000000 + 15;

int N, M;
vector <pair <int, int> > graph[NMAX];

bool vis[NMAX];
int dist[NMAX];

struct Elem {
    int d;
    int node;

    Elem(int _d = 0, int _node = 0) {
        d = _d;
        node = _node;
    }

    bool operator<(const Elem &arg) const {
        return d > arg.d;
    }
};

priority_queue <Elem> q;

void dijkstra(int s) {
    for (int i = 1; i <= N; ++ i)
        dist[i] = INF;

    dist[s] = 0;
    q.push(Elem(0, s));

    while (!q.empty()) {
        int node = q.top().node;
        q.pop();

        if (vis[node]) //Lazy deletion
            continue;
        vis[node] = true;

        for (int i = 0; i < graph[node].size(); ++ i)
            if (dist[node] + graph[node][i].second < dist[graph[node][i].first]) {
                dist[graph[node][i].first] = dist[node] + graph[node][i].second;
                q.push(Elem(dist[graph[node][i].first], graph[node][i].first));
            }
    }
}

int main()
{
    ifstream cin("dijkstra.in");
    ofstream cout("dijkstra.out");

    cin >> N >> M;

    for (int i = 1; i <= M; ++ i) {
        int a, b, c;
        cin >> a >> b >> c;

        graph[a].push_back(make_pair(b, c));
        //graph[b].push_back(make_pair(a, c));
    }

    dijkstra(1);

    for (int i = 1; i <= N; ++ i)
        if (!vis[i])
            dist[i] = 0; //Why not?

    if (N > 1) {
        cout << dist[2];
        for (int i = 3; i <= N; ++ i)
            cout << ' ' << dist[i];
    }
    cout << '\n';
    return 0;
}