#include <fstream>
#include <vector>
#include <set>

using namespace std;

ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int n, m;
vector<pair<int, int>> v[50005];
int dist[50005];
const int INF = 1e9;

int main()
{
    fin>>n>>m;

    int x, y, z;
    for(int i = 1; i<=m; i++)
    {
        fin>>x>>y>>z;

        v[x].push_back({y, z});
        v[y].push_back({x, z});
    }

    for(int i = 1; i<=n; i++)
    {
        dist[i] = INF;
    }

    multiset<pair<int, int>> s;

    dist[1] = 0;
    s.insert({0, 1});

    while(!s.empty())
    {
        int node = (*s.begin()).second;
        int d = (*s.begin()).first;

        for(auto it: v[node])
        {
            if(dist[it.first] > d + it.second)
            {
                dist[it.first] = d + it.second;

                s.insert({dist[it.first], it.first});
            }
        }

        s.erase(s.begin());

        /*for(int i = 0; i<v[node].size(); i++)
        {
            int it = v[node][i];
        }*/
    }

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

    return 0;
}