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>> adj[200000];
void dfs(int u, int p, vector<int64_t>& d) {
for (auto [v, c] : adj[u]) {
if (v == p) continue;
d[v] = d[u] + c;
dfs(v, u, d);
}
}
int max_score(int N, int X, int Y, long long K, std::vector<int> U, std::vector<int> V, std::vector<int> W) {
for (int i = 0; i < N; i++) adj[i].clear();
for (int i = 0; i < N - 1; i++) {
adj[U[i]].emplace_back(V[i], W[i]);
adj[V[i]].emplace_back(U[i], W[i]);
}
vector<int64_t> dX(N), dY(N);
dfs(X, -1, dX);
dfs(Y, -1, dY);
auto tmp = dX;
tmp.insert(tmp.end(), dY.begin(), dY.end());
sort(tmp.begin(), tmp.end());
int ans = 0;
int64_t sum = 0;
for (int i = 0; i < N * 2; i++) {
if (sum + tmp[i] > K) break;
ans++;
sum += tmp[i];
}
vector<int> op(N, 0);
for (int i = 0; i < N; i++) op[i] = dX[i] + dY[i] == dX[Y];
vector<vector<int64_t>> f(N + 1, vector<int64_t>(N * 2 + 1, 1e18 + 10));
f[0][0] = 0;
for (int i = 0; i < N; i++) {
for (int j = 0; j <= N * 2; j++) {
if (f[i][j] > K) continue;
if (!op[i]) f[i + 1][j] = min(f[i][j], f[i + 1][j]);
if (f[i][j] + min(dX[i], dY[i]) > K) continue;
f[i + 1][j + 1] = min(f[i + 1][j + 1], f[i][j] + min(dX[i], dY[i]));
if (f[i][j] + max(dX[i], dY[i]) > K) continue;
f[i + 1][j + 2] = min(f[i + 1][j + 2], f[i][j] + max(dX[i], dY[i]));
}
}
int res = 0;
for (int i = 0; i <= 2 * N; i++) if (f[N][i] <= K) res = i;
return max(ans, res);
}
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