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#include <bits/stdc++.h>
using namespace std;
ifstream f("dmin.in");
ofstream g("dmin.out");
//#define g cout
const double INF = 1e18, EPS = 1e-6;
const int MOD = 104659;
bitset<1501> viz;
int main()
{
ios_base::sync_with_stdio(false);
f.tie(nullptr);
int n, m;
f >> n >> m;
vector<vector<pair<int,double>>> v(n+1);
vector<double> d(n+1, INF);
vector<int> cnt(n+1,0);
priority_queue<pair<double, int>, vector<pair<double, int>>, greater<pair<double, int>>> pq;
for(int i=1; i<=m; i++)
{
int x, y, c;
f >> x >> y >> c;
double log_c = log(c);
v[x].push_back({y,log_c});
v[y].push_back({x,log_c});
}
pq.push({0.0,1});
d[1]=0.0;
cnt[1]=1;
while(!pq.empty())
{
double dist;
int nod;
tie(dist,nod) = pq.top();
pq.pop();
if(!viz[nod])
{
for(auto vc : v[nod])
{
int next = vc.first;
double cost = vc.second;
//EPS e o constanta mica care verifica ca distanta pana la nodul
//urmator daca e mai mare sau mai mica decat cea pe care o gasim noi
if(d[next]-(d[nod]+cost) > EPS)
{
d[next]=d[nod]+cost;
cnt[next]=cnt[nod];
pq.push({d[next],next});
}else if(abs(d[nod]+cost-d[next])<EPS)
{
cnt[next]=(cnt[next]+cnt[nod])%MOD;
}
}
viz[nod]=1;
}
}
for(int i=2; i<=n; i++)
g << cnt[i]%MOD << " ";
}