#include<bits/stdc++.h>
#include "closing.h"
#define MAXN 1000007
using namespace std;
struct event{
long long cost;
int x,type;
inline friend bool operator < (event fr,event sc){
return fr.cost>sc.cost;
}
};
int n,x,y;
vector< pair<int,int> > v[MAXN];
long long dist[MAXN][2];
int vis[MAXN];
bool reach[MAXN][2];
priority_queue< event > q;
void dfs(int x,int p,int id,long long d){
dist[x][id]=d;
q.push({dist[x][id],x,id});
for(auto nxt:v[x]){
if(nxt.first==p)continue;
dfs(nxt.first,x,id,d+nxt.second);
}
}
void bfs(int x,int id){
for(auto nxt:v[x]){
reach[nxt.first][id]=true;
if(vis[nxt.first]>0){
q.push({dist[nxt.first][id] - dist[nxt.first][1-id],nxt.first,id});
}
}
}
int max_score(int N, int X, int Y, long long K,vector<int> U, vector<int> V, vector<int> W){
n=N; x=X+1; y=Y+1;
for(int i=1;i<=n;i++){
v[i].clear();
vis[i]=0;
reach[i][0]=reach[i][1]=false;
}
while(!q.empty())q.pop();
for(int i=0;i<n-1;i++){
v[U[i]+1].push_back({V[i]+1,W[i]});
v[V[i]+1].push_back({U[i]+1,W[i]});
}
dfs(x,0,0,0);
dfs(y,0,1,0);
int ans=0;
while(!q.empty() and K>0){
event curr=q.top();
q.pop();
if(curr.cost>K)break;
if(vis[curr.x]==3)continue;
bfs(curr.x,curr.type);
if(vis[curr.x]>0){
vis[curr.x]=3;
}else{
vis[curr.x]=curr.type;
if(reach[curr.x][1-curr.type])q.push({dist[curr.x][1-curr.type] - curr.cost,1-curr.type});
}
K-=curr.cost; ans++;
}
return ans;
}
/*int main(){
//cout<<max_score(7, 0, 2, 10, {0, 0, 1, 2, 2, 5}, {1, 3, 2, 4, 5, 6}, {2, 3, 4, 2, 5, 3})<<"\n";
//cout<<max_score(4, 0, 3, 20, {0, 1, 2}, {1, 2, 3}, {18, 1, 19})<<"\n";
return 0;
}*/
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