//Bellman-Ford, graf orientat
#include <iostream>
#include <fstream>
#define INF 9999
using namespace std;
ifstream in("bellmanford.in");
ofstream out("bellmanford.out");

int n,m;
struct muchie{
    int x,y,cost;
}v[250005]; //vector muchii
int d[50005]; //vector distante minime st->i
int c[2500005]; //coada noduri vizitate
bool viz[250005];   //vector noduri vizitate (care se afla in coada)

void citire()
{
    in>>n>>m;
    for(int i=1;i<=m;++i)
        in>>v[i].x>>v[i].y>>v[i].cost;
}

void bellmanFord(int st)
//drum distanta minima (fara coada)
{
    //initilizeaza vectorul distante cu +INF
    for(int i=1;i<=n;++i)
        d[i]=+INF;
    d[st]=0; //distanta st->st = 0

    for(int k=1;k<=n-1;++k) //n-1 iteratii
    {
        for(int i=1;i<=n;++i) //ia muchiile exterioare ale fiecarui nod
        {
            for(int j=1;j<=m;++j)   //parcurge vectorul de muchii
            {
                if(v[j].x==i)  //daca gasesti o muchie exterioara SI obtii un drum st->fin(al) mai mic trecand prin int(ermediar)
                    if(d[v[j].y] > d[i] + v[j].cost)    //daca( st->fin > st->int + int->fin )
                        d[v[j].y] = d[i] + v[j].cost;
            }
        }
    }

    for(int i=2;i<=n;++i)
        out<<d[i]<<" ";
    out<<"\n";
}

void bellmanFord1(int st)
//drum distanta minima (cu coada)
{
    //initializez vectorul distante cu +INF
    for(int i=1;i<=n;++i)
        d[i]=+INF;
    d[st]=0;    //distanta st->st = 0

    //declarari
    int x,inc,sf;
    int cnt=1;
    inc=sf=1;
    c[inc]=st;
    viz[st]=1;

    while(inc<=sf) //cat timp coada nu e vida ?SI nu am facut inca n-1 iteratii
    {
        x=c[inc++]; //ia urmatorul nod din coada (ca nod intermediar)
        viz[x] = 0; //SI marcheaza nodul x ca nevizitat

        for(int i=1;i<=m;++i) //parcurge vectorul de muchii
        {
            if(v[i].x==x) //daca gasesti o muchie exterioara x->nod
                if(d[v[i].y] > d[x] + v[i].cost)  //daca obtii un drum optim (st->fin > st->int + int->fin)
                {
                    //actualizezi
                    d[v[i].y] = d[x] + v[i].cost;
                    //daca nodul final e nevizitat (nu se afla in coada)
                    if(viz[v[i].y] == 0)
                    {
                        c[++sf] = v[i].y;   //adaugi nodul final in coada
                        viz[v[i].y] = 1;    //SI marcheaza nodul ca vizitat
                    }
                }
        }
        ++cnt;
    }

    //afiseaza vectorul distante
    for(int i=2;i<=n;++i)
        out<<d[i]<<" ";
    out<<"\n";
}

int main()
{
    citire();

    //bellmanFord(1);
    bellmanFord1(1);

    return 0;
}