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 <vector>
#include <queue>
#include <iostream>
#define ll long long
#define vi vector<ll>
#define pb push_back
#define ii pair<ll, ll>
#define f first
#define s second
#define inf 1'000'000'000'000'000'000
using namespace std;
vector<ii> graf[200005];
vi dis1, dis2;
void dfs(ll u, vi& dis, ll p = -1)
{
for (auto [v, w]:graf[u])
{
if (v == p) continue;
dis[v] = dis[u]+w;
dfs(v, dis, u);
}
}
ll sol1(ll n, ll x, ll y, ll k)
{
priority_queue<ll, vi, greater<ll>> pq;
for (ll i = 0; i < n; i++)
pq.push(dis2[i]);
ll tk = 0;
ll rez = 0;
while (pq.size() && tk+pq.top() <= k)
{
tk+=pq.top();
pq.pop();
rez++;
}
return rez;
}
ll sol2(ll n, ll x, ll y, ll k)
{
priority_queue<ii, vector<ii>, greater<ii>> pq;
priority_queue<ii, vector<ii>, greater<ii>> pq1;
priority_queue<ii, vector<ii>, greater<ii>> pq2;
int tk = 0;
int rez = 0;
vi dod(n);
for (int i = 0; i < n; i++)
{
if (dis1[i]+dis2[i] == dis1[x])
{
rez++;
tk += dis2[i];
pq.push({dis1[i]-dis2[i], i});
}
else
{
if (dis2[i]*2 <= dis1[i])
{
pq.push({dis2[i], i});
pq.push({dis1[i]-dis2[i], i});
}
else
{
pq1.push({dis1[i], i});
pq2.push({dis2[i], i});
}
}
}
if (tk > k)
return 0;
while (pq1.size() && tk+pq1.top().f <= k)
{
if (pq.size() <= 1)
{
rez+=2;
tk += pq1.top().f;
pq1.pop();
continue;
}
ii pqt = pq.top();
pq.pop();
if (pqt.f+pq.top().f <= pq1.top().f)
{
tk += pqt.f;
rez++;
continue;
}
pq.push(pqt);
rez+=2;
tk += pq1.top().f;
dod[pq1.top().s] = 1;
pq1.pop();
}
while (pq.size() && tk+pq.top().f <= k)
{
auto [d, u] = pq.top();
pq.pop();
tk+=d;
rez++;
}
while (pq2.size() && pq2.top().f+tk <= k)
{
if (dod[pq2.top().s]) {pq2.pop();continue;}
rez++;
tk+=pq2.top().f;
pq2.pop();
}
return rez;
}
int max_score(int n, int x, int y, long long k, vector<int> U, vector<int> V, vector<int> W)
{
for (ll i = 0; i < n; i++)
graf[i].clear();
dis1.clear();
dis2.clear();
dis1 = dis2 = vi(n, 0);
for (ll i = 0; i < n-1; i++)
{
graf[U[i]].pb({V[i], W[i]});
graf[V[i]].pb({U[i], W[i]});
}
dfs(x, dis1);
dfs(y, dis2);
for (ll i = 0; i < n; i++)
if (dis1[i] < dis2[i])
swap(dis1[i], dis2[i]);
ll rez = sol1(n, x, y, k);
rez = max(rez, sol2(n, x, y, k));
return rez;
}
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