#include using namespace std; using Int = long long; template inline void chmin(T1 &a,T2 b){if(a>b) a=b;} template inline void chmax(T1 &a,T2 b){if(a sz,dead; vector< vector > G; Centroid(){} Centroid(int n):sz(n,1),dead(n,0),G(n){} void add_edge(int u,int v){ G[u].emplace_back(v); G[v].emplace_back(u); } int dfs(int v,int p){ sz[v]=1; for(int u:G[v]) if(u!=p&&!dead[u]) sz[v]+=dfs(u,v); return sz[v]; } void find(int v,int p,int tmp,vector &cs) { int ok=1; for (int u:G[v]){ if(u==p||dead[u]) continue; find(u,v,tmp,cs); ok&=(sz[u]<=tmp/2); } ok&=(tmp-sz[v]<=tmp/2); if(ok) cs.push_back(v); } vector build(int r) { int tmp=dfs(r,-1); vector cs; find(r,-1,tmp,cs); return cs; } void disable(int v){ dead[v]=1; } void enable(int v){ dead[v]=0; } int alive(int v){ return !dead[v]; } }; template struct FixPoint : F{ FixPoint(F&& f):F(forward(f)){} template decltype(auto) operator()(Args&&... args) const{ return F::operator()(*this,forward(args)...); } }; template inline decltype(auto) MFP(F&& f){ return FixPoint{forward(f)}; } template V compress(V v){ sort(v.begin(),v.end()); v.erase(unique(v.begin(),v.end()),v.end()); return v; } template map dict(const vector &v){ map res; for(int i=0;i<(int)v.size();i++) res[v[i]]=i; return res; } map dict(const string &v){ return dict(vector(v.begin(),v.end())); } struct FastIO{ FastIO(){ cin.tie(0); ios::sync_with_stdio(0); } }fastio_beet; //INSERT ABOVE HERE signed main(){ using ll = long long; int n,k; cin>>n>>k; using P = pair; vector< map > col(n); Centroid G(n); for(int i=1;i>x>>y>>z; x--;y--;z--; G.add_edge(x,y); col[x][y]=z; col[y][x]=z; } queue que; que.emplace(G.build(0)[0]); ll ans=0; vector cnt(k,0),uku(k,0); vector

ps(n); while(!que.empty()){ int r=que.front();que.pop(); auto calc= [&](P p,int q)->P{ assert(~p.first); if(p.first==q||p.second==q) return p; if(p.second==-1) return minmax({p.first,q}); return P(-1,-1); }; vector

vp; for(int t:G.G[r]){ if(!G.alive(t)) continue; MFP([&](auto dfs,int v,int p,P st)->void{ if(st.first<0) return; for(int u:G.G[v]){ if(u==p) continue; if(!G.alive(u)) continue; dfs(u,v,calc(st,col[u][v])); } if(st.second!=-1){ vp.emplace_back(st); } })(t,r,P(col[r][t],-1)); } vp=compress(vp); auto idx=[&](P p){return lower_bound(vp.begin(),vp.end(),p)-vp.begin();}; vector num(vp.size()); int all=0; for(int t:G.G[r]){ if(!G.alive(t)) continue; // count MFP([&](auto dfs,int v,int p,P st)->void{ ps[v]=st; if(st.first<0) return; for(int u:G.G[v]){ if(u==p) continue; if(!G.alive(u)) continue; dfs(u,v,calc(st,col[u][v])); } if(st.second==-1){ ans+=all-cnt[st.first]; ans+=uku[st.first]; }else{ ans+=1; ans+=cnt[st.first]; ans+=cnt[st.second]; ans+=num[idx(st)]; } })(t,r,P(col[r][t],-1)); // paint MFP([&](auto dfs,int v,int p)->void{ P st=ps[v]; if(st.first<0) return; for(int u:G.G[v]){ if(u==p) continue; if(!G.alive(u)) continue; dfs(u,v); } if(st.second==-1){ cnt[st.first]++; all++; }else{ num[idx(st)]++; uku[st.first]++; uku[st.second]++; } })(t,r); } for(int t:G.G[r]){ if(!G.alive(t)) continue; // clear MFP([&](auto dfs,int v,int p)->void{ P st=ps[v]; if(st.first<0) return; for(int u:G.G[v]){ if(u==p) continue; if(!G.alive(u)) continue; dfs(u,v); } if(st.second==-1){ cnt[st.first]--; }else{ uku[st.first]--; uku[st.second]--; } })(t,r); } G.disable(r); for(int u:G.G[r]) if(G.alive(u)) que.emplace(G.build(u)[0]); } cout<