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 file_io freopen("input.txt", "r", stdin);freopen("output.txt", "w", stdout);
#define fast_io ios::sync_with_stdio(false);cin.tie(0);
#define what(x) cerr << #x << " is " << x << '\n';
#define kill(x) {cout << x << '\n'; return;}
#define all(x) (x).begin(), (x).end()
#define pii pair<int, int>
#define pb push_back
#define ll long long
#define F first
#define S second
const ll inf = 1e16, mod = 1e9 + 7, delta = 1e9 + 9, SQ = 350, P = 6065621;
using namespace std;
const int N = 2e5 + 10, LG = 21;
int c1[N], c2[N], par[N][LG], yalp[N], h[N], cnt[N], a[N];
vector<pii> adj[N];
void dfs (int v, int p = -1) {
par[v][0] = p;
if (v == 1) yalp[v] = -1;
if (p + 1) h[v] = h[p] + 1;
for (int i = 1; i < LG; i++)
if (par[v][i - 1] + 1)
par[v][i] = par[par[v][i - 1]][i - 1];
for (auto [u, _]: adj[v])
if (u - p) dfs(u, v), yalp[u] = _;
}
int lca (int v, int u) {
if (h[u] < h[v]) swap(u, v);
for (int i = LG - 1; i >= 0; i--)
if (par[u][i] + 1 && h[par[u][i]] >= h[v])
u = par[u][i];
if (u == v) return v;
for (int i = LG - 1; i >= 0; i--)
if (par[v][i] != par[u][i])
v = par[v][i], u = par[u][i];
return par[v][0];
}
void diefes (int v, int p = -1) {
for (auto u: adj[v]) {
if (u.F - p) {
diefes(u.F, v);
cnt[u.S] = a[u.F];
a[v] += a[u.F];
}
}
}
int main () {
fast_io;
int n;
cin >> n;
memset(par, -1, sizeof par);
for (int i = 1; i < n; i++) {
int u, v;
cin >> u >> v >> c1[i] >> c2[i];
adj[u].pb({v, i});
adj[v].pb({u, i});
}
dfs(1);
int cur = 1;
for (int i = 2; i <= n; i++) {
if (i == cur) continue;
int l = lca(i, cur);
if (l == i) {
a[cur]++;
a[i]--;
}
else if (l == cur) {
a[i]++;
a[cur]--;
}
else {
a[i]++;
a[cur]++;
a[l] -= 2;
}
cur = i;
}
diefes(1);
ll ans = 0;
for (int i = 1; i < n; i++)
ans += min(1ll * c2[i], 1ll * c1[i] * cnt[i]);
cout << ans << '\n';
return 0;
}
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