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

using namespace std;

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

const long long INF = 5e9;
const int NMAX = 50001;

struct Graf
{
    int to, len;

    bool operator  < (const Graf other) const
    {
        return len > other.len;
    }
};


priority_queue <Graf> pq;

vector <Graf> v[NMAX + 1];

int n, m;
long long dist[NMAX + 1];

void Dijkstra()
{
    while(!pq.empty())
    {
        Graf node = pq.top();
        int n = node.to;
        int d = node.len;
        pq.pop();
        for(int i = 0; i < v[n].size(); i++)
        {
            int aux = d + v[n][i].len;
            if(aux < dist[v[n][i].to])
            {
                dist[v[n][i].to] = aux;
                pq.push({v[n][i].to, aux});
            }
        }
    }
}

int main()
{
    fin >> n >> m;
    int x, y, c;
    for(int i = 0; i < m ;i++)
    {
        fin >> x >> y >> c;
        v[x].push_back({y, c});
    }

    dist[1] = 0;
    for(int i = 2; i <= n; i++)
        dist[i] = INF;

    pq.push({1, 0});
    Dijkstra();

    for(int i = 2; i <= n; i++)
        fout << dist[i] << ' ';
    return 0;
}