#include<iostream>
#include<cstring>
#include<stdio.h>
#include<vector>
#include<stack>
#include<queue>
#include<deque>
#include<map>
#include<set>
#include<iomanip>
#include<cmath>
#include<list>
#include<algorithm>
#define rep(i,n) for(int i=0;i<(n);i++)
#define fab(i,a,b) for(int i=(a);i<=(b);i++)
#define fba(i,b,a) for(int i=(b);i>=(a);i--)
#define cls0(x) memset(x,0,sizeof(x))
#define cls1(x) memset(x,-1,sizeof(x))
#define lson l,m,rt<<1
#define rson m+1,r,rt<<1
#define LL long long
#define INF 0x3f3f3f3f
#define MP make_pair
#define PB push_back
#define sf scanf
#define pf printf
#define left le_
#define right ri_
const int N=10005;
using namespace std;
struct Edge{
int v,w;
Edge(int v=0,int w=0):v(v),w(w){
}
};
vector<Edge>G[N];
bool vis[N];
int size[N],dep[N];
int left,right,minx,k;
int n,u,v,w;
void init(){
rep(i,N)G[i].clear();
cls0(vis);
cls0(dep);
cls0(size);
}
void input(){
rep(i,n-1){
sf("%d %d %d",&u,&v,&w);
G[u].PB(Edge(v,w));
G[v].PB(Edge(u,w));
}
}
int getsize(int u,int fa){
size[u]=1;
rep(i,G[u].size()){
int v=G[u][i].v;
if(v==fa||vis[v])continue;
size[u]+=getsize(v,u);
}
return size[u];
}
void getroot(int u,int fa,int nodesize,int& root){
int maxx=nodesize-size[u];
rep(i,G[u].size()){
int v=G[u][i].v;
if(v==fa||vis[v])continue;
getroot(v,u,nodesize,root);
maxx=max(maxx,size[v]);
}
if(maxx<minx){
minx=maxx;
root=u;
}
}
void getdep(int u,int fa,int w){
dep[right++]=w;
rep(i,G[u].size()){
int v=G[u][i].v;
if(v==fa||vis[v])continue;
getdep(v,u,w+G[u][i].w);
}
}
int getans(int l,int r){
sort(dep+l,dep+r);
int ans=0;
int a=l-1;
for(int i=r-1;i>=l;i--){
while(a+1<i&&dep[a+1]+dep[i]<=k)a++;
if(a>=i)ans+=(i-l);
else ans+=(a-l+1);
}
return ans;
int ret=0;
int e=r-1;
for(int i=l;i<r;i++){
if(dep[i]>k)break;
while(e>=l&&dep[e]+dep[i]>k)e--;
ret+=(e-l+1);
if(e>i)ret--;
}
return ret>>1;
}
int solve(int u){
int nodesize=getsize(u,-1);
int ret=0;
minx=INF;
int root;
getroot(u,-1,nodesize,root);
vis[root]=1;
rep(i,G[root].size()){
int v=G[root][i].v;
if(vis[v])continue;
ret+=solve(v);
}
left=right=0;
rep(i,G[root].size()){
int v=G[root][i].v;
if(vis[v])continue;
getdep(v,root,G[root][i].w);
ret-=getans(left,right);
left=right;
}
ret+=getans(0,right);
rep(i,right){
if(dep[i]<=k)ret++;
else break;
}
vis[root]=false;
return ret;
}
int main(){
while(~sf("%d %d",&n,&k)){
if(n==0&&k==0)break;
init();
input();
pf("%d\n",solve(1));
}
return 0;
}
//myf 模板
#include<iostream>
#include<cstdio>
#include<vector>
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
#define X first
#include<cstring>
#define Cls(x) memset(x,0,sizeof x)
#define Y second
#include<algorithm>
const int N = 10000 + 10;
typedef pair<int,int> PII;
int n, k;
vector<PII> E[N];
int tot, top, mi, root;
int size[N], f[N];
int q[N];
bool use[N];
void getDist(int x, int dist, int fa){
q[top++] = dist;
rep(i, E[x].size()){
int y = E[x][i].X, c = E[x][i].Y;
if (use[y] || y == fa) continue;
getDist(y, dist + c, x);
}
}
int count(int x, int dist){
int s = 0;
top = 0;
getDist(x, dist, -1);
sort(q, q + top);
for(int i = 0,j = top - 1; i <= j; i++){
while(q[i] + q[j] > k && i < j) j--;
if (i < j) s += j - i;
}
return s;
}
void getRoot(int x, int fa){
int big = -1;
size[x] = 1;
rep(i, E[x].size()){
int y = E[x][i].X, c = E[x][i].Y;
if (use[y] || y == fa) continue;
getRoot(y, x);
size[x] += size[y];
big=max(big, size[y]);
}
big = max(big, tot - size[x]);
if (big < mi) mi = big, root = x;
}
void dfs(int x){
tot = mi = size[x];
getRoot(x, -1);
x = root;
f[x] = count(x, 0);
use[x] = true;
rep(i, E[x].size()){
int y = E[x][i].X, c = E[x][i].Y;
if (use[y]) continue;
f[x] -= count(y, c);
dfs(y);
}
}
#define PB push_back
#define MP make_pair
int main(){
while(scanf("%d%d", &n, &k)){
if (!n && !k) break;
Cls(use);
int x,y,c;
rep(i, n) E[i].clear();
rep(i, n - 1){
scanf("%d%d%d", &x, &y, &c);
x--, y--;
E[x].PB(MP(y, c));
E[y].PB(MP(x, c));
}
size[0] = n;
dfs(0);
int ans = 0;
rep(i,n) ans += f[i];
printf("%d\n", ans);
}
return 0;
}
