#include <fstream>
#include <vector>
#include <queue>
#include <cmath>

using namespace std;

ifstream cin("dmin.in");
ofstream cout("dmin.out");

priority_queue<pair <double,int>,vector <pair < double,int>>,greater<pair < double,int>>> q;
int x,y;
const double eps= 0.0000000001;
int z;
int n,m;
pair<double,int> d[100005];
vector<pair <int ,double>> v[250005];

int main()
{
    cin>>n>>m;
    for(int i=1;i<=n;i++){
        d[i].first=0x3f3f3f3f;
    }
    for(int i=1;i<=m;i++){
        cin>>x>>y>>z;
        v[x].push_back({y,log10(z)});
        v[y].push_back({x,log10(z)});
    }
    d[1].first=0;
    d[1].second=1;
    q.push({0,1});
    while(!q.empty()){
        int nod=q.top().second;
        double idk=q.top().first;
        q.pop();
        if ( idk-eps>d[nod].first)
			continue;
        for(auto x: v[nod]){
            if(d[x.first].first-eps>d[nod].first+x.second){
                d[x.first].first=d[nod].first+x.second;
                d[x.first].second=d[nod].second;
                d[x.first].second%=104659;
                q.push({d[x.first].first,x.first});
            }
            else{
                if(fabs(d[x.first].first-d[nod].first-x.second)<=eps ){
                    d[x.first].second+=d[nod].second;
                    d[x.first].second%=104659;
                }
            }
        }
    }
    for(int i=2;i<=n;i++){
        cout<<d[i].second<<" ";
    }
    return 0;
}