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;
typedef long long ll;
#define rep(a, b) for(int a = 0; a < (b); ++a)
#define st first
#define nd second
#define pb push_back
#define all(a) a.begin(), a.end()
const ll INF=1e18+7;
const int LIM=2e5+7;
vector<pair<ll,ll>>V[LIM];
ll odl[LIM][2], czy[LIM], ile[LIM], n;
void DFS(int x, int o, int k) {
for(auto i : V[x]) if(i.st!=o) {
odl[i.st][k]=odl[x][k]+i.nd;
DFS(i.st, x, k);
}
}
void DFS2(int x, int o) {
for(auto i : V[x]) if(i.st!=o) {
DFS2(i.st, x);
if(czy[i.st]) czy[x]=1;
}
}
int max_score(int _N, int x, int y, ll k, vector<int>_U, vector<int>_V, vector<int>_W) {
n=_N;
rep(i, n) {
V[i].clear();
odl[i][0]=odl[i][1]=czy[i]=ile[i]=0;
}
rep(i, n-1) {
V[_U[i]].pb({_V[i], _W[i]});
V[_V[i]].pb({_U[i], _W[i]});
}
DFS(x, x, 0);
DFS(y, y, 1);
vector<ll>P;
ll sum1=0, sum2=0;
int ans1=0, ans2=0;
rep(i, n) {
if(odl[i][0]>odl[i][1]) swap(odl[i][0], odl[i][1]);
odl[i][1]-=odl[i][0];
P.pb(odl[i][0]);
}
sort(all(P));
for(auto i : P) if(sum1+i<=k) {
sum1+=i;
++ans1;
}
czy[y]=1;
DFS2(x, x);
vector<pair<pair<ll,ll>,ll>>S;
rep(i, n) {
if(czy[i]) {
sum2+=odl[i][0];
ile[i]=1;
++ans2;
S.pb({{2*odl[i][1], 1}, i});
} else if(odl[i][0]>=odl[i][1]) S.pb({{odl[i][0]+odl[i][1], 2}, i});
else {
S.pb({{2*odl[i][0], 1}, i});
S.pb({{2*odl[i][1], 1}, i});
}
}
if(sum2>k) return ans1;
sort(all(S));
for(auto i : S) if(sum2+i.st.st*i.st.nd/2<=k) {
sum2+=i.st.st*i.st.nd/2;
ans2+=i.st.nd;
ile[i.nd]+=i.st.nd;
}
if(ans1>ans2) return ans1;
rep(i, n) {
if(ile[i]==0) {
if(sum2+odl[i][0]<=k) return ans2+1;
} else if(ile[i]==1) {
if(sum2+odl[i][1]<=k) return ans2+1;
}
}
ll dwa=INF;
rep(i, n) if(ile[i]==0) dwa=min(dwa, odl[i][0]+odl[i][1]);
rep(i, n) if(ile[i]==2 && sum2-odl[i][1]+dwa<=k) return ans2+1;
rep(i, n) if(!czy[i] && ile[i]==1 && sum2-odl[i][0]+dwa<=k) return ans2+1;
return ans2;
}
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