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

using namespace std;

const int inf = 1<<31-1;

ifstream fin("");
ofstream fout("");

vector<vector<pair<int, int>>> adj_list;
vector<int> viz;
vector<int> dist;
priority_queue<
    pair<int,int>,
    vector<pair<int,int>>,
    greater<pair<int,int>>
    > pq;

int n, m;

void dijkstra(int nod_start, int n)
{
    viz.assign(n+1, 0);
    dist.assign(n+1, inf);
    dist[nod_start] = 0;
    pq.push({dist[nod_start], nod_start});
    while ( !pq.empty() )
    {
       auto nod_curent = pq.top();
       pq.pop();
       viz[nod_curent.second] = 1;
       for ( auto &v : adj_list[nod_curent.second] )
       {
            if ( !viz[v.first] )
            {

                if ( dist[v.first] > dist[nod_curent.second] + v.second )
                {
                    dist[v.first] = dist[nod_curent.second] + v.second;
                    pq.push({dist[v.first], v.first});

                }
            }
       }
    }
    for ( int i = 2; i <= n; i++ )
    {
        if ( dist[i] == inf)
        {
            fout << 0;
        }
        fout<<dist[i]<<" ";
    }

}

int main()
{
    fin>>n>>m;
    adj_list.assign(n+1, {});

    for ( int i = 0; i < m; i++ ) {
        int x,y,z;
        fin >> x >> y >> z;
        adj_list[x].push_back({y,z});
    }
    dijkstra(1,n);
    return 0;
}