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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