#include "race.h"
#include <bits/stdc++.h>
#define loop(i, a, b) for(long long i=a;i<b;i++)
#define pool(i, a, b) for(long long i=a-1;i>=b;i--)
#define fore(i, a) for(auto&& i:a)
#define fi first
#define se second
#define ps(a) push_back(a)
#define pb(a) pop_back(a)
#define sc scanf
#define vc vector
#define pa pair<ll, ll>
#define ll int
#define lb lower_bound
#define ub upper_bound
#define all(a) a.begin(), a.end()
#define llmax LLONG_MAX/2
#define llmin -LLONG_MAX/2
using namespace std;
#define mn 201000
#define pa pair<ll, ll>
#define ld long double
#define intmax INT_MAX/2
vc<pa> edg[mn];
ll n, k, vis[mn], ans=intmax, dp[1000100], sz[mn];
ll fnd(ll st){
function<void (ll, ll)> psa=[&](ll u, ll p){
sz[u]=1;
fore(v, edg[u]) if(!vis[v.fi] and v.fi!=p) psa(v.fi, u), sz[u]+=sz[v.fi];
};
psa(st, -1);
ll nsiz=sz[st];
function<ll (ll, ll)> dfs=[&](ll u, ll p){
fore(v, edg[u]) if(!vis[v.fi] and v.fi!=p and sz[v.fi]>nsiz/2) return dfs(v.fi, u);
return u;
};
return dfs(st, -1);
}
vc<pa> cur, al;
void getd(ll u, ll p, ll dist, ll le){
cur.ps(make_pair(dist, le));
al.ps(make_pair(dist, le));
fore(v, edg[u]) if(!vis[v.fi] and v.fi!=p) getd(v.fi, u, dist+v.se, le+1);
}
void dec(ll st){
ll c=fnd(st);
dp[0]=0;
al.clear();
fore(v, edg[c]) if(!vis[v.fi]){
cur.clear();
getd(v.fi, c, v.se, 1);
fore(d, cur) if(0<=k-d.fi)ans=min(ans, dp[k-d.fi]+d.se);
fore(d, cur) if(d.fi<=k)dp[d.fi]=min(dp[d.fi], d.se);
}
fore(d, al) if(d.fi<=k)dp[d.fi]=intmax;
vis[c]=1;
fore(v, edg[c]) if(!vis[v.fi]) dec(v.fi);
}
ll best_path(ll N, ll K, ll h[][2], ll l[]){
n=N, k=K;
loop(i, 0, k+1) dp[i]=intmax;
dp[0]=0;
loop(i, 0, n-1){
edg[h[i][0]].ps(make_pair(h[i][1], l[i]));
edg[h[i][1]].ps(make_pair(h[i][0], l[i]));
}
dec(0);
return (ans>n+539)? -1:ans;
}
