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>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define fi first
#define se second
#define ll long long
#define ld long double
#define sz(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define mpp make_pair
#define ve vector
using namespace std;
using namespace __gnu_pbds;
template<class T> using oset = tree<T,null_type,less<T>,rb_tree_tag,tree_order_statistics_node_update>;
const ll inf = 1e18; const int iinf = 1e9;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
template <typename T> inline bool chmin(T& a, T b) { return (a > b ? a = b, 1 : 0); }
template <typename T> inline bool chmax(T& a, T b) { return (a < b ? a = b, 1 : 0); }
const int N = 2e5 + 10;
ve<int> gr[N];
int in[N], out[N];
const int lg = 18;
int up[N][lg];
int timer = 0;
inline void dfs(int v, int p) {
in[v] = timer++; up[v][0] = p;
for (int i = 1; i < lg; ++i) up[v][i] = up[up[v][i - 1]][i - 1];
for (auto &to : gr[v]) if (to ^ p) dfs(to, v);
out[v] = timer++;
}
inline bool anc(int a, int b) { return in[a] <= in[b] && out[b] <= out[a]; }
inline int lca(int a, int b) {
if (anc(a, b)) return a;
if (anc(b, a)) return b;
for (int i = lg - 1; ~i; --i) {
if (!anc(up[a][i], b)) {
a = up[a][i];
}
} return up[a][0];
}
int s[N];
inline void add(int a, int b) {
int l = lca(a, b);
++s[a], ++s[b], ----s[l];
}
inline void dfs1(int v, int p) {
for (auto &to : gr[v]) if (to ^ p) {
dfs1(to, v);
s[v] += s[to];
}
}
inline void solve() {
int n;
cin >> n;
ve<array<int,4>> e(n - 1);
for (int i = 1; i < n; ++i) {
int v, u, a, b;
cin >> v >> u >> a >> b;
e[i - 1] = {--v, --u, a, b};
gr[v].pb(u), gr[u].pb(v);
}
dfs(0, 0);
for (int i = 0; i + 1 < n; ++i) add(i, i + 1);
dfs1(0, 0);
ll ans = 0;
for (auto &[v, u, a, b] : e) {
if (in[v] < in[u]) swap(v, u);
ans += min(a * 1ll * s[v], b * 1ll);
}
cout << ans;
}
signed main() {
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
int q = 1; // cin >> q;
while (q--) solve();
cerr << fixed << setprecision(3) << "Time execution: " << (double)clock() / CLOCKS_PER_SEC << endl;
}
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