This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "closing.h"
#include <bits/stdc++.h>
using namespace std;
vector <pair <int, int>> ke[200001];
long long d[200001][2],cur;
int p[200001],ch[200001];
set <pair <long long, int>> s,s2;
void dfs(int u, int i, int par=-1){
for (auto [v,w]:ke[u])
if (v!=par){
d[v][i]=d[u][i]+w;
p[v]=u;
dfs(v,i,u);
}
}
int max_score(int N, int X, int Y, long long K, vector<int> U, vector<int> V, vector<int> W){
for (int i=0;i<N-1;i++){
ke[U[i]].push_back({V[i],W[i]});
ke[V[i]].push_back({U[i],W[i]});
}
memset(ch,0,sizeof(ch));
d[X][0]=d[Y][1]=0;
dfs(X,0);
dfs(Y,1);
for (;X!=Y;X=p[X])
ch[X]=1;
ch[Y]=1;
int res=0,cnt=0;
for (int i=0;i<N;i++)
s.insert({min(d[i][0],d[i][1]),i});
cur=0;
while (!s.empty()&&cur+(*s.begin()).first<=K){
cur+=(*s.begin()).first;
res++;
s.erase(s.begin());
}
s.clear();
cur=0;
for (int i=0;i<N;i++){
if (ch[i]){
s.insert({abs(d[i][0]-d[i][1]),i});
cur+=min(d[i][0],d[i][1]);
cnt++;
}
else{
s.insert({min(d[i][0],d[i][1]),i});
s2.insert({max(d[i][0],d[i][1]),i});
}
}
while (!s.empty()){
long long x=0;
int i=0,y=0;
auto [c,u]=*s.begin();
s.erase(s.begin());
if (s2.empty())
x=c,i=u,y=1;
else{
auto [c2,u2]=*s2.begin();
s2.erase(s2.begin());
if (s.empty()){
s.insert({c,u});
x=c2;
i=u2;
y=2;
}
else{
if (c+(*s.begin()).first<c2){
s2.insert({c2,u2});
x=c;
i=u;
y=1;
}
else{
s.insert({c,u});
x=c2;
i=u2;
y=2;
}
}
}
if (cur+x>K)
break;
cnt++;
if (y==1){
cur+=x;
if (!ch[i]){
s.insert({abs(d[i][0]-d[i][1]),i});
s2.erase(s2.find({max(d[i][0],d[i][1]),i}));
}
}
if (y==2){
cur+=min(d[i][0],d[i][1]);
s.erase(s.find({min(d[i][0],d[i][1]),i}));
s.insert({abs(d[i][0]-d[i][1]),i});
}
ch[i]=1;
}
while (!s.empty()&&cur+(*s.begin()).first<=K){
cur+=(*s.begin()).first;
cnt++;
s.erase(s.begin());
}
s.clear();
s2.clear();
for (int i=0;i<N;i++)
ke[i].clear();
return max(res,(cur>K?0:cnt));
}
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