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;
struct Edge {
int u, v, cost_one, cost_two;
int get_other(int x) const {
return u ^ v ^ x;
}
};
int n;
vector<int> adj[200005];
Edge edges[200005];
int par[200005][20], h[200005], add[200005];
long long res = 0;
void dfs(int u, int prevEdge) {
for (int& id : adj[u])
if (prevEdge != id) {
int v = edges[id].get_other(u);
h[v] = h[u] + 1;
par[v][0] = u;
for (int i = 1; (1 << i) <= n; ++ i)
par[v][i] = par[par[v][i-1]][i-1];
dfs(v, id);
}
}
void DFS(int u, int prevEdge) {
for (int& id : adj[u])
if (id != prevEdge) {
int v = edges[id].get_other(u);
DFS(v, id);
add[u] += add[v];
}
res += min((long long)add[u] * edges[prevEdge].cost_one, (long long)edges[prevEdge].cost_two);
}
int get_lca(int u, int v) {
if (h[u] < h[v]) swap(u, v);
int delta = h[u] - h[v], i;
for (i = 0; (1 << i) <= n; ++ i)
if (delta >> i & 1)
u = par[u][i];
if (u == v) return u;
for (-- i; i >= 0; -- i)
if (par[u][i] != par[v][i]) {
u = par[u][i];
v = par[v][i];
}
return par[u][0];
}
int jump(int u, int x) {
for (int i = 0; (1 << i) <= n; ++ i)
if (x >> i & 1)
u = par[u][i];
return u;
}
void update(int u, int v) {
int c = get_lca(u, v);
add[c] -= 2;
++ add[u];
++ add[v];
}
int main() {
cin.tie(0)->sync_with_stdio(0);
cin >> n;
for (int i = 1; i < n; ++ i) {
int u, v, c, d;
cin >> u >> v >> c >> d;
edges[i] = {u, v, c, d};
adj[u].push_back(i);
adj[v].push_back(i);
}
dfs(1, 0);
for (int i = 1; i < n; ++ i)
update(i, i + 1);
DFS(1, 0);
cout << res;
return 0;
}
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