#include <stdio.h>
#include <bits/stdc++.h>
using namespace std;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf 1000000000

struct Data{
	array<int,3> a;
	Data(){
		rep(i,3)a[i] = Inf;
	}
	
	void add(int x){
		if(x==Inf)return;
		rep(i,3){
			if(a[i]==x)return;
		}
		rep(i,3){
			if(a[i]==Inf){
				a[i] = x;
				break;
			}
		}
		sort(a.begin(),a.end());
	}
		
};

template <class S, S (*op)(S, S), S (*e)()>
struct sparse_table{	
	vector<S> v;
	int _n;
	int sz;
	
	sparse_table() : sparse_table(0) {}
    sparse_table(int n) : sparse_table(std::vector<S>(n, e())) {}
    sparse_table(const std::vector<S>& x) : _n(int(x.size())) {
       sz = x.size();
		for(int i=0;true;i++){
			if((1<<i)>_n){
				sz = i;
				break;
			}
		}
		v.resize(sz*_n,e());
		
		for(int i=0;i<_n;i++){
			v[i] = x[i];
		}
		
		for(int i=1;i<sz;i++){
			for(int j=0;j<_n+1-(1<<i);j++){
				int temp = j+(1<<(i-1));
				v[i*_n+j] = op(v[(i-1)*_n+j],v[(i-1)*_n+temp]);
			}
		}
    }
	
	S prod(int l,int r){
		int x = 31-__builtin_clz(r-l);
		return op(v[_n*x+l],v[_n*x+r-(1<<x)]);
	}
};

struct centroid_tree{
	
	vector<vector<int>> E;
	vector<int> cnt;
	int r;

	vector<int> pos;
	vector<vector<int>> bind;
	vector<int> ind;
	vector<pair<int,int>> par;
	
	centroid_tree(vector<vector<int>> argE){
		int n = argE.size();
		E.resize(n,vector<int>());

		cnt.resize(n);
		r = go(0,argE);
		
		pos.resize(n);
		bind.resize(n);
		par.resize(n,make_pair(-1,-1));
		dfs(r,-1,E);
		build(r,0);
		
	}
	
	int go(int a,vector<vector<int>> &argE){
		
		dfs(a,-1,argE);
		
		int sz = cnt[a];
		
		int ret = dfs2(a,-1,argE,sz);

		rep(i,argE[ret].size()){
			int to = argE[ret][i];
			argE[to].erase(find(argE[to].begin(),argE[to].end(),ret));
			
			int g = go(to,argE);
			E[ret].push_back(g);
		}
		argE[ret].clear();

		return ret;
		
	}
	
	void dfs(int cur,int p,vector<vector<int>> &argE){
		cnt[cur] = 1;
		rep(i,argE[cur].size()){
			int to = argE[cur][i];
			if(to==p)continue;
			dfs(to,cur,argE);
			cnt[cur] += cnt[to];
		}
	}
	
	int dfs2(int cur,int p,vector<vector<int>> &argE,int sz){
		int ret = -1;
		int m = 0;
		rep(i,argE[cur].size()){
			int to = argE[cur][i];
			if(to==p)continue;
			ret = dfs2(to,cur,argE,sz);
			if(ret!=-1)return ret;
			m = max(m,cnt[to]);
		}
		
		if(sz-cnt[cur]<=sz/2 && m<=sz/2){
			ret = cur;
		}
		return ret;
		
	}
	
	void build(int cur,int d){
		int x = cur;
		pos[cur] = ind.size();
		bind[cur].push_back(ind.size());
		ind.push_back(cur);
		
		rep(i,E[cur].size()){
			int to = E[cur][i];
			int x = to;
			bind[cur].push_back(ind.size());
			par[to] = make_pair(cur,i+1);
			build(to,d+1);
		}
		bind[cur].push_back(ind.size());
	}
	
};

struct HLD{
	vector<int> sz,parent,depth,root,pos;
	vector<int> arr;
	HLD(vector<vector<int>> &E){
		sz.resize(E.size(),1);
		parent.resize(E.size(),0);
		depth.resize(E.size(),0);
		root.resize(E.size(),0);
		pos.resize(E.size(),0);
		
		dfs(0,-1,E);
		dfs2(0,-1,E,0);
	}
	
	void dfs(int now,int p,vector<vector<int>> &E){
		parent[now] = p;
		if(p==-1){
			depth[now] = 0;
		}
		else{
			depth[now] = depth[p]+1;
		}
		for(int i=0;i<E[now].size();i++){
			int to = E[now][i];
			if(to==p)continue;
			dfs(to,now,E);
			sz[now] += sz[to];
		}
	}
	
	void dfs2(int now,int p,vector<vector<int>> &E,int r){
		pos[now] = arr.size();
		arr.push_back(now);
		root[now] = r;
		int maxi = 0;
		int ind = -1;
		for(int i=0;i<E[now].size();i++){
			int to = E[now][i];
			if(to==p)continue;
			if(maxi<sz[to]){
				maxi = sz[to];
				ind = to;
			}
		}
		if(ind==-1)return;
		dfs2(ind,now,E,r);
		for(int i=0;i<E[now].size();i++){
			int to = E[now][i];
			if(to==p||to==ind)continue;
			dfs2(to,now,E,to);
		}
	}
	
	vector<pair<int,int>> query(int u,int v){
		vector<pair<int,int>> ret;
		int t = 0;
		while(root[u]!=root[v]){
			if(depth[root[u]] <= depth[root[v]]){
				ret.insert(ret.begin()+t,{pos[root[v]], pos[v]});
				v = parent[root[v]];
			}
			else{
				ret.insert(ret.begin()+t,{pos[u],pos[root[u]]});
				u = parent[root[u]];
				t++;
			}
		}
		ret.insert(ret.begin()+t,{pos[u],pos[v]});
		return ret;
	}
	
	int lca(int u,int v){
		for(;;v=parent[root[v]]){
			if(pos[u]>pos[v])swap(u,v);
			if(root[u]==root[v])return u;
		}
	}
	
	int get_distance(int u,int v){
		return depth[u] + depth[v] - 2 * depth[lca(u,v)];
	}
	
};

Data op(Data a,Data b){
	rep(i,3){
		a.add(b.a[i]);
	}
	return a;
}

Data e(){
	return Data();
}

int main(){
	
	int n,K;
	cin>>n>>K;
	vector<Data> D(2*n-1);
	vector<vector<int>> E(n);
	vector<vector<int>> E2(2*n-1);
	rep(i,n-1){
		
		int u,v,c;
		scanf("%d %d %d",&u,&v,&c);
		u--;v--;c--;
		E[u].push_back(v);
		E[v].push_back(u);
		E2[u].push_back(n+i);
		E2[v].push_back(n+i);
		E2[n+i].push_back(u);
		E2[n+i].push_back(v);
		
		D[n+i].add(c);
	}
	
	HLD H(E2);
	{
		vector<Data> D2(2*n-1);
		rep(i,2*n-1){
			D2[H.pos[i]] = D[i];
		}
		swap(D,D2);
	}
	
	centroid_tree C(E);
	
	sparse_table<Data,op,e> seg(D);
	
	long long ans = 0LL;
	vector<long long> cnt1(K,0),cnt2(K,0);
	vector<int> e1,e2;
	rep(i,n){
		long long cnt1all = 0LL;
		map<pair<int,int>,long long> cntp;
		long long I = 0LL;
		rep(j,C.bind[i].size()-1){
			vector<Data> V;
			for(int k=C.bind[i][j];k<C.bind[i][j+1];k++){
				auto r = H.query(i,C.ind[k]);
				Data t;
				rep(l,r.size()){
					int a = r[l].first,b = r[l].second;
					if(a>b)swap(a,b);
					t = op(t,seg.prod(a,b+1));
				}
				V.push_back(t);
			}
			
			rep(k,V.size()){
				if(V[k].a[0]==Inf)continue;
				if(V[k].a.back()!=Inf)continue;
				if(V[k].a[1]==Inf){
					int x = V[k].a[0];
					ans += cnt1all;
					ans -= cnt1[x];
					ans += cnt2[x];
				}
				else{
					int x = V[k].a[0],y = V[k].a[1];
					ans += I;
					ans += cnt1[x];
					ans += cnt1[y];
					if(cntp.count(make_pair(x,y)))ans += cntp[make_pair(x,y)];
				}
			}
			rep(k,V.size()){
				if(V[k].a[0]==Inf){
					I++;
					continue;
				}
				if(V[k].a.back()!=Inf)continue;
				if(V[k].a[1]==Inf){
					int x = V[k].a[0];
					cnt1[x]++;
					e1.push_back(x);
					cnt1all++;
				}
				else{
					int x = V[k].a[0],y = V[k].a[1];
					cnt2[x]++;
					cnt2[y]++;
					e2.push_back(x);
					e2.push_back(y);
					cntp[make_pair(x,y)]++;
				}
			}
		}
		while(e1.size()>0){
			cnt1[e1.back()]--;
			e1.pop_back();
		}
		while(e2.size()>0){
			cnt2[e2.back()]--;
			e2.pop_back();
		}
		
	}
	
	cout<<ans<<endl;
	
    return 0;
}