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>
using namespace std;
#define debug(x) {cout << #x << ": "; for (auto it : x) cout << it << " ";cout << endl;}
#define fast ios::sync_with_stdio(0);cin.tie(0);
typedef long long ll;
#define f first
#define s second
#define MOD 998244353
#define LOGN 20
#define MAXN 200005
vector<vector<pair<int,pair<int,int>>>> graph;
vector<ll> cnt;
int up[LOGN][MAXN], depth[MAXN];
void dfs(int node, int parent) {
for (auto u : graph[node]) {
if (u.f == parent)
continue;
depth[u.f] = depth[node] + 1;
up[0][u.f] = node;
for (int i = 1; i < LOGN; i++)
up[i][u.f] = up[i-1][up[i-1][u.f]];
dfs(u.f, node);
}
}
int find(int node, int k) {
for (int i = 0; i < LOGN; i++) {
if ((1<<i) & k)
node = up[i][node];
}
return node;
}
int lca(int a, int b) {
if (depth[b] > depth[a])
swap(a, b);
a = find(a, depth[a] - depth[b]);
if (a == b)
return a;
for (int i = LOGN-1; i >= 0; i--) {
if (up[i][a] != up[i][b]) {
a = up[i][a];
b = up[i][b];
}
}
return up[0][a];
}
ll ans = 0;
int dfs2(int node, int parent) {
for (auto u : graph[node]) {
if (u.f == parent)
continue;
int Q = dfs2(u.f, node);
ans += min(u.s.f * Q, u.s.s);
cnt[node] += Q;
}
return cnt[node];
}
int main() {
fast
int N;
cin >> N;
graph = vector<vector<pair<int,pair<int,int>>>>(N+1, vector<pair<int,pair<int,int>>>());
cnt = vector<ll>(N+1, 0);
for (int i = 1; i < N; i++) {
int A, B, C1, C2;
cin >> A >> B >> C1 >> C2;
graph[A].push_back({B, {C1, C2}});
graph[B].push_back({A, {C1, C2}});
}
for (int i = 0; i < LOGN; i++)
up[i][1] = 1;
dfs(1, 1);
for (int i = 1; i <= N-1; i++) {
int Q = lca(i, i+1);
cnt[i]++;
cnt[i+1]++;
cnt[Q]-=2;
}
dfs2(1, 1);
cout << ans << "\n";
}
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