#include "closing.h"
#include <bits/stdc++.h>
#include <vector>
#define MAXN 200007
using namespace std;
vector<int> g[MAXN],w[MAXN];
long long d[2][MAXN];
long long pm[2*MAXN];
void dfs(int br,int s,int f,long long dist)
{
d[br][s]=dist;
for(int i=0;i<g[s].size();i++) if(g[s][i]!=f) dfs(br,g[s][i],s,dist+w[s][i]);
}
int max_score(int N, int X, int Y, long long K, std::vector<int> U, std::vector<int> V, std::vector<int> W)
{
for(int i=0;i<N;i++) g[i].clear();
for(int i=0;i<N;i++) w[i].clear();
for(int i=0;i<N-1;i++)
{
g[U[i]].push_back(V[i]);
g[V[i]].push_back(U[i]);
w[U[i]].push_back(W[i]);
w[V[i]].push_back(W[i]);
}
if(X>Y) swap(X,Y);
dfs(0,X,X,0);
dfs(1,Y,Y,0);
vector<long long> vk;
long long total=0;
int br=0,ans;
for(int i=0;i<N;i++) vk.push_back(d[0][i]);
for(int i=0;i<N;i++) vk.push_back(d[1][i]);
sort(vk.begin(),vk.end());
for(int i=0;i<vk.size();i++)
{
if(total+vk[i]<=K)
{
total+=vk[i];
br++;
}
}
ans=br;
vector<long long> p;
vector<pair<long long,long long> > v;
for(int i=0;i<N;i++) if(d[0][i]+d[1][i]!=d[0][Y])
{
long long a=min(d[0][i],d[1][i]),b=max(d[0][i],d[1][i]);
if(2*a<b)
{
v.push_back({2*a,0});
v.push_back({2*(b-a),0});
}
else v.push_back({b,-a});
}
sort(v.begin(),v.end());
p.push_back(0);
if(v.size()!=0)
{
long long pmin=1000000000000000000LL;
for(int i=v.size()-1;i>=0;i--)
{
if(v[i].second!=0) pmin=min(pmin,-v[i].second);
else pmin=min(pmin,v[i].first/2);
pm[i]=pmin;
}
long long last=0;
for(int i=0;i<v.size();i++)
{
if(!v[i].second)
{
p.push_back(p.back()+v[i].first/2);
last=v[i].first/2;
}
else
{
long long cur=p.back();
p.push_back(min(cur+pm[i],cur-last+v[i].first));
p.push_back(cur+v[i].first);
}
}
}
vector<pair<long long,int>> put;
for(int i=0;i<N;i++) if(d[0][i]+d[1][i]==d[0][Y]) put.push_back({abs(d[0][i]-d[1][i]),i});
sort(put.begin(),put.end());
long long sum=0;
for(int i=0;i<put.size();i++) sum+=min(d[0][put[i].second],d[1][put[i].second]);
for(int i=0;i<put.size();i++)
{
int r=put[i].second;
sum+=max(d[0][r],d[1][r])-min(d[0][r],d[1][r]);
int lt=0,rt=p.size()-1;
if(sum>K) continue;
while(lt!=rt)
{
int s=(lt+rt+1)/2;
if(p[s]+sum>K) rt=s-1;
else lt=s;
}
ans=max(ans,(int)put.size()+i+1+lt);
}
return ans;
}
