#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include "temp.cpp"
#include <cstdio>
using namespace std;
#ifndef ONLINE_JUDGE
#define dbg(x) cerr << #x <<" "; print(x); cerr << endl;
#else
#define dbg(x)
#endif
#define sz(x) (int((x).size()))
#define len(x) (int)x.length()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define clr(x) (x).clear()
#define uniq(x) x.resize(unique(all(x)) - x.begin());
#define blt(x) __builtin_popcount(x)
#define pb push_back
#define popf pop_front
#define popb pop_back
void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(long double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}
template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T, class V> void print(T v[],V n) {cerr << "["; for(int i = 0; i < n; i++) {print(v[i]); cerr << " "; } cerr << "]";}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(deque <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'
// for grid problems
int dx[8] = {-1,0,1,0,1,-1,1,-1};
int dy[8] = {0,1,0,-1,1,1,-1,-1};
int ka() {
int x = 0;
bool z = false;
while (1)
{
char y = getchar();
if (y == '-')
z = true;
else if ('0' <= y && y <= '9')
x = x * 10 + y - '0';
else
{
if (z)
x *= -1;
return x;
}
}
}
// lowest / (1 << 17) >= 1e5 / (1 << 18) >= 2e5 / (1 << 21) >= 1e6
void fastIO() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
}
// file in/out
void setIO(string str = "") {
fastIO();
if (str != "") {
freopen((str + ".in").c_str(), "r", stdin);
freopen((str + ".out").c_str(), "w", stdout);
}
}
// Indexed Set
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
const int N = 2e5 + 10, LOG = 23;
long long n, c1[N], c2[N];
vector<pair<int, int>> adj[N];
int sz[N];
int up[N][LOG], depths[N], p[N];
void dfs(int node, int parent, int depth) {
p[node] = parent;
sz[node] = 1;
depths[node] = depths[parent] + 1;
for(auto i: adj[node]) {
if(i.first == parent) continue;
up[i.first][0] = node;
for(int j = 1; j < LOG; j++) {
up[i.first][j] = up[up[i.first][j - 1]][j - 1];
}
dfs(i.first, node, depth + 1);
sz[node] += sz[i.first];
}
}
int lca(int a, int b) {
if(a == b) {
return a;
}
if(depths[a] > depths[b]) {
swap(a, b);
}
int delta = depths[b] - depths[a];
for(int i = 0; i < LOG; i++) {
if(delta & (1 << i)) {
b = up[b][i];
}
}
if(a == b) {
return a;
}
for(int i = LOG - 1; i >= 0; i--) {
if(up[a][i] != up[b][i]) {
a = up[a][i], b = up[b][i];
}
}
return up[a][0];
}
long long q[N];
long long answ = 0;
void dfs1(int node, int parent) {
for(auto i: adj[node]) {
if(i.first == parent) continue;
dfs1(i.first, node);
long long cc = c1[i.second] * q[i.first];
answ += min(cc, c2[i.second]);
q[node] += q[i.first];
}
}
void solve_() {
cin >> n;
for(int i = 1; i <= n - 1; i++) {
int a, b; cin >> a >> b;
cin >> c1[i] >> c2[i];
adj[a].push_back({b, i});
adj[b].push_back({a, i});
}
dfs(1, 0, 0);
for(int i = 2; i <= n; i++) {
q[i]++, q[i - 1]++;
q[lca(i, i - 1)] -= 2;
}
dfs1(1, 0);
cout << answ << '\n';
}
int main() {
setIO();
auto solve = [&](int test_case)-> void {
while(test_case--) {
solve_();
}
};
int test_cases = 1;
// cin >> test_cases;
solve(test_cases);
return 0;
}
