#include <bits/stdc++.h>

using namespace std;

ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");

const int NMax = 5e4 + 50;

bool viz[NMax];
int dist[NMax];
vector < pair < int, int > > G[NMax];

struct cmp {
    bool operator() (int a, int b) {
        return dist[a] > dist[b];
    }
};

void Dijkstra() {

    priority_queue < int, vector < int >, cmp > PQ;
    PQ.push(1);

    while((int)PQ.size()) {
        int node = PQ.top(); PQ.pop();

        for(const auto it: G[node]) {
            if(viz[it.first] == false) {
                viz[it.first] = true;
                dist[it.first] = dist[node] + it.second;

                PQ.push(it.first);
            }
        }
    }
}

int main() {

    int n, m;
    fin >> n >> m;

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

        G[a].push_back({b, c});
    }

    viz[1] = true;
    Dijkstra();

    for(int i = 2; i <= n; ++i) fout << dist[i] << " ";

    return 0;
}