#include <bits/stdc++.h>
#include "race.h"
#define ll long long
#define pii pair<ll, ll>
#define fi first
#define se second
#define pb push_back
using namespace std;
const ll MX=500007, INF=1e9+7;
vector<pii> adj[MX];
map<ll, pii> ada[MX];
ll N, K, ret=INF;
void add(ll i, ll j, ll x){
if(ada[i].count(j)){
pii now=ada[i][j];
if(now.se>x)
now.se=x;
if(now.fi>now.se)
swap(now.fi, now.se);
ada[i][j]=now;
}else{
ada[i][j]={x, INF};
}
}
void DFS(ll par, ll wpar, ll x){
ada[x][0]={0, INF};
for(auto i:adj[x]){
ll v=i.fi, w=i.se;
if(v==par)
continue;
DFS(x, w, v);
if(ada[x].size()<ada[v].size())
swap(ada[x], ada[v]);
for(auto j:ada[v]){
ll tot=j.fi, sisa=K-tot;
pii cnt=j.se;
if(tot>K)
continue;
if(ada[x].count(sisa)){
ret=min(ret, ada[x][sisa].fi+ada[v][tot].fi);
}
add(x, tot, cnt.fi);
add(x, tot, cnt.se);
}
}
vector<ll> delay;
vector<pair<ll, pii>> tambah;
for(auto i=ada[x].rbegin(); i!=ada[x].rend(); i++){
pair<ll, pii> tmp=*i;
tmp.se.fi++;
tmp.se.se++;
if(tmp.fi+wpar<=K)
tambah.pb({tmp.fi+wpar, tmp.se});
delay.pb(tmp.fi);
}
for(auto i:delay)
ada[x].erase(i);
for(auto i:tambah)
ada[x][i.fi]=i.se;
if(ada[x].count(K))
ret=min(ret, ada[x][K].fi);
}
int best_path(int n, int k, int H[][2], int L[]){
N=n, K=k;
for(ll i=0, u, v, w; i<N-1; i++){
u=H[i][0], v=H[i][1], w=L[i];
adj[u].pb({v, w});
adj[v].pb({u, w});
}
DFS(0, 0, 0);
return (ret>=INF?-1:ret);
}
