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>
#define sz(x) ((int)x.size())
#define pii pair<int,int>
#define ft first
#define sd second
#define all(x) x.begin(),x.end()
#define PB push_back
#define MP make_pair
using namespace std;
typedef long long ll;
const int N = 200100;
const int PW = 20;
vector<int> vc, g[N];
int U[N], V[N], C1[N], C2[N], kol[N], n, pr[N][PW], V1[N], V2[N];
int tin[N], tout[N], tt = 0, ad[N];
ll ans = 0, sm[N];
void dfs(int v, int p){
    tin[v] = tt++;
    pr[v][0] = p;
    for (int po = 1; po < PW; po++)
        pr[v][po] = pr[pr[v][po - 1]][po - 1];
    for (int nm : g[v]){
        int u = (U[nm] == v ? V[nm] : U[nm]);
        if (u == p) continue;
        V1[u] = C1[nm];
        V2[u] = C2[nm];
        dfs(u, v);
    }
    tout[v] = tt++;
}
bool upper(int a, int b){
    return (tin[a] <= tin[b] && tout[a] >= tout[b]);
}
int lca(int a, int b){
    if (upper(a, b)) return a;
    if (upper(b, a)) return b;
    for (int po = PW - 1; po >= 0; po--)
        if (!upper(pr[a][po], b))
            a = pr[a][po];
    return pr[a][0];
}
void DFS(int v){
    sm[v] = 0;
    for (int nm : g[v]){
        int u = (U[nm] == v ? V[nm] : U[nm]);
        if (u == pr[v][0]) continue;
        DFS(u);
        sm[v] += sm[u];
    }
    sm[v] += ad[v];
    ans += min(ll(V1[v]) * ll(sm[v]), ll(V2[v]));
}
int main(){
    ios_base::sync_with_stdio(0); cin.tie(0);
//    freopen("in.txt","r",stdin);
    cin >> n;
    for (int i = 1; i < n; i++){
        cin >> U[i] >> V[i] >> C1[i] >> C2[i];
        U[i]--; V[i]--;
        g[U[i]].PB(i);
        g[V[i]].PB(i);
    }
    dfs(0, 0);
    for (int i = 1; i < n; i++){
        int lc = lca(i, i - 1);
        ad[i]++;
        ad[i - 1]++;
        ad[lc] -= 2;
    }
    DFS(0);
    cout << ans;
    return 0;
}
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