#include<bits/stdc++.h>
using namespace std;
ifstream fin("dmin.in");
ofstream fout("dmin.out");
int n,m,a,b,c,nrd[1501];
double d[1501];
vector<pair<double,int>>v[1501];
const int K=104659;
const double INF=7000000000;
const double eps=1e-6;
void adauga(int a,int b,double c)
{
    v[a].push_back({c,b});
    v[b].push_back({c,a});
}
int main()
{
    priority_queue<pair<double,int>,vector<pair<double,int>>,greater<pair<double,int>>>pq;
    fin>>n>>m;
    fill(d+1,d+n+1,(double)INF);
    d[1]=0;
    for(int i=1;i<=m;i++)
    {
        fin>>a>>b>>c;
        adauga(a,b,(double)log2(c));
    }
    pq.push({0,1});
    nrd[1]=1;
    while(!pq.empty())
    {
        pair<double,int>nod=pq.top();
        pq.pop();
        int q=nod.second;
        if(d[q]!=nod.first)
            continue;
        for(int i=0;i<(int)v[q].size();i++)
        {
            if(d[q]+v[q][i].first<d[v[q][i].second])
            {
                d[v[q][i].second]=d[q]+v[q][i].first;
                nrd[v[q][i].second]=nrd[q]%K;
                pq.push({v[q][i].first+nod.first,v[q][i].second});
            }
            else if(fabs(d[q]+v[q][i].first-d[v[q][i].second])<eps)
            {
                nrd[v[q][i].second]+=nrd[q]%K;
                nrd[v[q][i].second]%=K;
            }
        }
    }
    for(int i=2;i<=n;i++)
        fout<<nrd[i]%K<<" ";
}