#include <bits/stdc++.h>
using namespace std;
#define task "main"
#define F first
#define S second
#define ii pair<int, int>
#define il pair<int, long long>
#define li pair<long long, int>
#define FOR(i, a, b) for(int i = (a); i <= (b); ++i)
#define FOD(i, b, a) for(int i = (b); i >= (a); --i)
template <class T1, class T2>
bool maximize(T1 &a, T2 b){
if (a < b) {a = b; return true;}
return false;
}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){
if (a > b) {a = b; return true;}
return false;
}
template <class T>
void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
for(auto item: container) out << item << separator;
out << finish;
}
const int MAX_N = (int)2e5 + 5;
int numNode;
struct EDGE {
int u, v, singleCost, multiCost;
} edges[MAX_N];
vector<ii> adj[MAX_N];
int high[MAX_N], par[20][MAX_N];
void dfs(int u) {
for (ii e : adj[u]) {
int v = e.F;
if (v == par[0][u]) continue;
par[0][v] = u;
high[v] = high[u] + 1;
dfs(v);
}
}
void setup() {
dfs(1);
FOR(i, 1, 18) FOR(u, 1, numNode)
par[i][u] = par[i - 1][par[i - 1][u]];
high[0] = -1;
}
int lca(int u, int v) {
if (high[u] < high[v]) swap(u, v);
FOD(i, 18, 0) if (high[par[i][u]] >= high[v])
u = par[i][u];
if (u == v) return u;
FOD(i, 18, 0) if (par[i][u] != par[i][v]) {
u = par[i][u];
v = par[i][v];
}
return par[0][u];
}
int cnt[MAX_N], sum[MAX_N];
void calc(int u, int p) {
for (ii e : adj[u]) {
int v = e.F;
if (v == p) continue;
calc(v, u);
cnt[e.S] = sum[v];
sum[u] += sum[v];
}
}
void solve() {
cin >> numNode;
FOR(i, 1, numNode - 1) {
int u, v, c1, c2;
cin >> u >> v >> c1 >> c2;
adj[u].push_back({v, i});
adj[v].push_back({u, i});
edges[i] = {u, v, c1, c2};
}
setup();
FOR(i, 1, numNode - 1) {
int p = lca(i, i + 1);
sum[p] -= 2, sum[i]++, sum[i + 1]++;
}
calc(1, -1);
long long ans = 0;
FOR(i, 1, numNode - 1) ans += min(1LL * edges[i].multiCost, 1LL * edges[i].singleCost * cnt[i]);
cout << ans << "\n";
}
int32_t main() {
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
bool multitest = 0;
int numTest = 1;
if (multitest) cin >> numTest;
while (numTest--) {
solve();
}
return 0;
}
/* Lak lu theo dieu nhac!!!! */
컴파일 시 표준 에러 (stderr) 메시지
putovanje.cpp: In function 'int32_t main()':
putovanje.cpp:111:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
111 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
putovanje.cpp:112:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
112 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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