이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) static_cast<int>((x).size())
template<class T, size_t D>
struct vec : vector<vec<T, D - 1>> {
template<class... Args>
vec(size_t n = 0, Args... args)
: vector<vec<T, D - 1>>(n, vec<T, D - 1>(args...)) {}
};
template<class T>
struct vec<T, 1> : vector<T> {
template<class... Args>
vec(Args... args)
: vector<T>(args...) {}
};
template<class T>
inline bool Minimize(T& a, const T& b) { return a > b ? a = b, true : false; }
template<class T>
inline bool Maximize(T& a, const T& b) { return a < b ? a = b, true : false; }
inline int Next(int i, int n) { return i == n - 1 ? 0 : i + 1; }
inline int Prev(int i, int n) { return !i ? n - 1 : i - 1; }
mt19937 rng(static_cast<uint32_t>(chrono::steady_clock::now().time_since_epoch().count()));
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
int n_vertices; cin >> n_vertices;
vec<pair<int, int>, 2> edges_vertices(n_vertices);
for (int i = 1; i < n_vertices; ++i) {
int u, v, w; cin >> u >> v >> w; --u; --v;
edges_vertices[u].emplace_back(v, w);
edges_vertices[v].emplace_back(u, w);
}
vec<int, 2> down(n_vertices, 2);
vec<array<int, 2>, 1> max_changes_vertices(n_vertices);
function<void(int, int, int)> Down = [&](int u, int parent, int parent_edge) {
max_changes_vertices[u][0] = max_changes_vertices[u][1] = numeric_limits<int>::min();
for (auto& edge : edges_vertices[u]) {
int v, w; tie(v, w) = edge;
if (v == parent) {
continue;
}
Down(v, u, w);
down[u][0] += max(down[v][0], down[v][1]);
int change = - max(down[v][0], down[v][1]) + w + down[v][0];
for (int i = 0; i < SZ(max_changes_vertices[u]); ++i) {
if (change > max_changes_vertices[u][i]) {
swap(change, max_changes_vertices[u][i]);
}
}
}
down[u][1] = max_changes_vertices[u][0] != numeric_limits<int>::min() && parent_edge != numeric_limits<int>::min() ? down[u][0] + max_changes_vertices[u][0] + parent_edge : numeric_limits<int>::min();
};
Down(0, -1, numeric_limits<int>::min());
vec<int, 2> up(n_vertices, 2);
up[0][1] = numeric_limits<int>::min();
function<void(int, int, int)> Up = [&](int u, int parent, int parent_edge) {
for (auto& edge : edges_vertices[u]) {
int v, w; tie(v, w) = edge;
if (v == parent) {
continue;
}
up[v][0] = max(up[u][0], up[u][1]) + down[u][0] - max(down[v][0], down[v][1]);
up[v][1] = numeric_limits<int>::min();
if (parent_edge != numeric_limits<int>::min()) {
Maximize(up[v][1], w + parent_edge + down[u][0] - max(down[v][0], down[v][1]));
}
int change = - max(down[v][0], down[v][1]) + w + down[v][0];
if (max_changes_vertices[u][0] == change) {
if (max_changes_vertices[u][1] != numeric_limits<int>::min()) {
Maximize(up[v][1], up[v][0] + max_changes_vertices[u][1] + w);
}
} else {
if (max_changes_vertices[u][0] != numeric_limits<int>::min()) {
Maximize(up[v][1], up[v][0] + max_changes_vertices[u][0] + w);
}
}
Up(v, u, w);
}
};
Up(0, -1, numeric_limits<int>::min());
int answer = 0;
for (int u = 0; u < n_vertices; ++u) {
Maximize(answer, down[u][0] + max(up[u][0], up[u][1]));
if (down[u][1] != numeric_limits<int>::min()) {
Maximize(answer, down[u][1] + up[u][0]);
}
}
cout << answer << '\n';
return 0;
}
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