#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#define inf (1<<30)
using namespace std;
int n,m,x,y,c;
ifstream f("dijkstra.in");
ofstream go("dijkstra.out");

struct nod
{
    int b,cost;
}aux;

struct cmp
{
    bool operator()(const nod& a, const nod& b) const
    {
        return (a.cost > b.cost);
    }
};

priority_queue<nod, vector<nod>, cmp> PQ;
vector<vector<nod> > G;
vector<int> D;
vector<bool> INPQ;

void Dijkstra(nod s)
{
    D[s.b]=0;
    PQ.push(s);
    INPQ[s.b]=true;
    while(!PQ.empty())
    {
        nod x=PQ.top();
              PQ.pop();
        INPQ[x.b]=false;
        for(int i=0; i<G[x.b].size(); i++)
        {
            y=G[x.b][i].b;
            c=G[x.b][i].cost;
            if(D[y]>D[x.b]+c)
            {
                D[y]=D[x.b]+c;
                if(!INPQ[y])
                {
                    PQ.push(G[x.b][i]);
                    INPQ[y]=true;
                }
            }
        }
    }
}



int main()
{
    f>>n>>m;
    G.resize(n+1);
    for(int i=0; i<=n; i++)
    {
        INPQ.push_back(false);
        D.push_back(inf);
    }

    for(int i=0; i<m; i++)
    {
        f>>x>>y>>c;
        aux.b=y;
        aux.cost=c;
        G[x].push_back(aux);
    }
    aux.b=1; //de chestie
    aux.cost=1;
    Dijkstra(aux);

    for(int i=2; i<=n; i++)
    {
        if(D[i]!=inf)
            go<<D[i]<<" ";
        else
            go<<"0 ";
    }

    f.close();
    go.close();



    return 0;
}