#include <fstream>
#include <queue>
#include <vector>
#include <cmath>
using namespace std;

ifstream f("dmin.in");
ofstream g("dmin.out");

void citire();
void bellmanFord();

inline double modul(double x)
{
    if(x<0) return -x;
    return x;
}

struct muchie
{
    int nod;
    double cost;
} aux;

vector < muchie > G[1502];
queue <int> Q;
double z;
int n, m, i, nrd[1502];
double dmin[1502];
bool viz[1502];

int main()
{
    citire();
    bellmanFord();

    for(i=2;i<=n;++i) g<<nrd[i]<<' ';
    return 0;
}

void bellmanFord()
{
    int x, vecin;
    double cost;
    int i;
    Q.push(1);
    viz[1]=1;
    while (!Q.empty())
    {
        x=Q.front();
        Q.pop();
        for (i=0;i<G[x].size();i++)
        {
            vecin=G[x][i].nod;
            cost=G[x][i].cost;
             if(dmin[vecin]-1e-8>dmin[x]+cost)
            {
                dmin[vecin]=dmin[x]+cost;
                nrd[vecin]=nrd[x];
                if(!viz[vecin]) Q.push(vecin), viz[vecin]=1;
            }
            else if(modul(dmin[vecin]-dmin[x]-cost)<=1e-8)
            {
                nrd[vecin]=(nrd[vecin]+nrd[x])%104659;
            }
        }

    }
}


void citire()
{
    int x, y;
    double z;
    double cost;
    f>>n>>m;
    for (i=1;i<=m;i++)
    {
        f>>x>>y>>cost;
        z=log(cost);
        aux.nod=y;
        aux.cost=z;
        G[x].push_back(aux);
        aux.nod=x;
        G[y].push_back(aux);
    }


    nrd[1]=1;

    for (i=2;i<=n;i++)
        dmin[i]=1000001;
}