mirror of
https://git.sb/baoshuo/OI-codes.git
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parent
394dec7271
commit
9df23296c0
106
LibreOJ/3250/3250.cpp
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106
LibreOJ/3250/3250.cpp
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#include <iostream>
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#include <utility>
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#include <vector>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 2e5 + 5;
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int n, c1[N], c2[N], c[N];
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long long ans;
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int id[N], rid[N], fa[N], dep[N], siz[N], son[N], top[N];
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std::vector<std::pair<int, int>> g[N];
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void dfs1(int u, int f) {
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fa[u] = f;
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dep[u] = dep[f] + 1;
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siz[u] = 1;
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for (auto e : g[u]) {
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int v = e.first;
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if (v == f) continue;
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dfs1(v, u);
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siz[u] += siz[v];
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if (siz[son[u]] < siz[v]) son[u] = v;
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}
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}
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void dfs2(int u, int t) {
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static int cnt = 0;
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rid[id[u] = ++cnt] = u;
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top[u] = t;
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if (son[u]) dfs2(son[u], t);
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for (auto e : g[u]) {
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int v = e.first;
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if (v == fa[u] || v == son[u]) continue;
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dfs2(v, v);
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}
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}
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int lca(int u, int v) {
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while (top[u] != top[v]) {
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if (dep[top[u]] < dep[top[v]]) std::swap(u, v);
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u = fa[top[u]];
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}
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return dep[u] < dep[v] ? u : v;
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}
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void dfs3(int u) {
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int fa_edge_id = 0;
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for (auto e : g[u]) {
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int v = e.first,
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id = e.second;
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if (v == fa[u]) {
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fa_edge_id = id;
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continue;
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}
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dfs3(v);
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c[u] += c[v];
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}
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ans += std::min<long long>(static_cast<long long>(c1[fa_edge_id]) * c[u], c2[fa_edge_id]);
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n;
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for (int i = 1, u, v; i < n; i++) {
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cin >> u >> v >> c1[i] >> c2[i];
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g[u].emplace_back(v, i);
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g[v].emplace_back(u, i);
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}
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dfs1(1, 1);
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dfs2(1, 1);
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for (int i = 1; i < n; i++) {
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c[i]++, c[i + 1]++;
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c[lca(i, i + 1)] -= 2;
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}
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dfs3(1);
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cout << ans << endl;
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return 0;
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}
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