#include <fstream>
#include <bits/stdc++.h>

using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int n, m, i, j, x, y, c, dist[500005];
bool viz[500005];
struct nodd
{
    int nod, cost;
};
struct cmp
{
    bool operator()(const nodd&a, const nodd&b)
    {
        return a.cost>b.cost;
    }
};
vector <nodd> v[500005];
priority_queue <nodd, vector <nodd>, cmp> q;
int main()
{
    fin>>n>>m;
    for(i=1; i<=m; i++)
    {
        fin>>x>>y>>c;
        v[x].push_back({y, c});
    }
    for(i=2; i<=n; i++)
        dist[i]=1e9;
    q.push({1, 0});
    dist[1]=0;
    while(!q.empty())
    {
        nodd x1=q.top();
        q.pop();
        if(viz[x1.nod]==0)
        {
            for(auto i: v[x1.nod])
                if(dist[i.nod]>dist[x1.nod]+i.cost)
                {
                    dist[i.nod]=dist[x1.nod]+i.cost;
                    q.push({i.nod, dist[i.nod]});
                }
        }
        viz[x1.nod]=1;
    }
    for(i=2; i<=n; i++)
        if(dist[i]!=1e9)
            fout<<dist[i]<<" ";
        else
            fout<<0<<" ";
    return 0;
}