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 <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 2e5 + 7;
vector<pair<int, int>> g[N];
int ans = 0;
vector<ll> find_dist(int n, int x) {
vector<ll> dist(n, -1);
queue<int> q;
q.push(x);
dist[x] = 0;
while (!q.empty()) {
int u = q.front();
q.pop();
for (auto v : g[u]) {
if (dist[v.first] == -1) {
dist[v.first] = dist[u] + v.second;
q.push(v.first);
}
}
}
return dist;
}
int max_score(int n, int X, int Y, ll K, vector<int> U, vector<int> V, vector<int> W) {
for (int i = 0; i < n; ++i) {
g[i].clear();
}
ans = 0;
for (int i = 0; i < n - 1; ++i) {
g[U[i]].push_back(make_pair(V[i], W[i]));
g[V[i]].push_back(make_pair(U[i], W[i]));
}
vector<ll> distX = find_dist(n, X);
vector<ll> distY = find_dist(n, Y);
vector<ll> one(n, 0), two(n, 0);
for (int i = 0; i < n; ++i) {
one[i] = min(distX[i], distY[i]);
two[i] = max(distX[i], distY[i]);
}
{
vector<ll> aux = one;
sort(aux.begin(), aux.end());
ll sum = 0;
for (int i = 0; i < n; ++i) {
if (sum + aux[i] <= K) {
ans++;
sum += aux[i];
}
}
if (distX[Y] + 1 > 2 * K) {
return ans;
}
}
vector<bool> counted(n, 0);
ll d = distX[Y], between = 0;
int cnt = 0;
for (int i = 0; i < n; ++i) {
if (distX[i] + distY[i] == d) {
between += one[i];
cnt++;
counted[i] = 1;
}
}
ll sum_other_two = 0;
vector<int> ord2(n);
iota(ord2.begin(), ord2.end(), 0);
sort(ord2.begin(), ord2.end(), [&](int x, int y) {
return two[x] < two[y];
});
int ptr = 0;
vector<int> ord1(n);
iota(ord1.begin(), ord1.end(), 0);
sort(ord1.begin(), ord1.end(), [&](int x, int y) {
return one[x] < one[y];
});
auto get_sum_other_one = [&](int twos, int ones) {
if (ones == 0) {
return 0LL;
}
ll sum = 0;
for (int i = 0; i < n; ++i) {
if (counted[ord1[i]] == 0) {
sum += one[ord1[i]];
ones--;
if (ones == 0) {
break;
}
}
}
return sum;
};
for (int twos = 0; twos <= n; ++twos) {
if (twos != 0) {
sum_other_two += two[ord2[ptr]];
counted[ord2[ptr]] = 1;
if (distX[ord2[ptr]] + distY[ord2[ptr]] == d) {
between -= one[ord2[ptr]];
cnt--;
}
ptr++;
}
for (int ones = 0; ones + twos + cnt <= n; ++ones) {
if (sum_other_two + between + get_sum_other_one(twos, ones) <= K) {
ans = max(ans, 2 * twos + cnt + ones);
}
}
}
return ans;
}
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