#pragma GCC optimize("Ofast")
#pragma GCC target("avx2")

#define getrp() ({char*mmap();mmap(0l,1l<<25,1,2,0,0ll);})
#define rd() ({int _v=0,_c;while(_c=*rp++-48,_c>=0)_v=_v*10+_c;_v;})
#define wt(v) ({unsigned _z=v;do*--wp=_z%10+48;while(_z/=10);})
#define wt1(v) ({char wbuf[64],*wp=wbuf+sizeof wbuf;wt(v);write(1,wp,wbuf+sizeof wbuf-wp);})
#define rep(v,e) for(typeof(e) v=0;v<e;++v)
#define rep3(v,s,e) for(typeof(e) v=s;v<e;++v)
#define rrep(v,e) for(typeof(e) v=e;v--;)
#define chmax(v,a) (v=v>=a?v:a)

#define MAXV 100

int ab[MAXV-1<<1],c[MAXV-1];
int k,t;
int d[100001];

int en[MAXV+1];
int eb[MAXV-1<<1];
int ew[MAXV-1<<1];

int f(int i,int p){
	int x=0;
	int w=0;
	rep3(k,en[i],en[i+1]){
		int j=eb[k];
		if(j!=p){
			w+=f(j,i);
		}else{
			x=ew[k];
		}
	}
	w+=!w;
	int y=x*w;
	rrep(i,k+1-x){
		chmax(d[i+x],d[i]+y);
	}
	t+=y;
	return w;
}

int main(){
	char*rp=getrp();
	int n=rd();
	k=rd();
	rep(j,n-1){
		++en[ab[j*2+0]=rd()-1];
		++en[ab[j*2+1]=rd()-1];
		c[j]=rd();
	}
	rep(i,n){
		en[i+1]+=en[i];
	}
	rrep(j,n-1<<1){
		int k=--en[ab[j]];
		eb[k]=ab[j^1];
		ew[k]=c[j>>1];
	}
	f(0,0);
	wt1(t+d[k]);
	_exit(0);
}