#include <iostream>
#include <fstream>
#include <bitset>
#include <vector>
#include <cmath>
#include <set>
using namespace std;

typedef pair<int, double> per;
typedef vector<per>::iterator it;

int n,m,rez[1505];
double d[1505];
bitset<1505> viz;
vector<per> gr[1505];
set<pair<double, int> > s;

void dij() {
 for(int i=1; i<=n; ++i) d[i]=2000000000;
 rez[1]=1;
 for(s.insert(make_pair(0,1));s.size();s.erase(s.begin())) {
  double cst=s.begin()->first; int nod=s.begin()->second;
  for(it i=gr[nod].begin(); i!=gr[nod].end(); ++i) {
   if(fabs(d[i->first]-cst-i->second)<1e-9) rez[i->first]=(rez[i->first]+rez[nod])%104659;
   else if(cst+i->second<d[i->first]) {
    d[i->first]=cst+i->second;
    rez[i->first]=rez[nod];
    s.insert(make_pair(d[i->first],i->first));
   }
  }
 }
}

int main()
{
 ifstream f("dmin.in");
 ofstream g("dmin.out");
 f>>n>>m;
 for(int i=1; i<=m; ++i) {
  int a,b,c;
  f>>a>>b>>c;
  double lg=log((double)c);
  gr[a].push_back(make_pair(b,lg));
  gr[b].push_back(make_pair(a,lg));
 }
 dij();
 for(int i=2; i<=n; ++i) g<<rez[i]<<' ';
 return 0;
}