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>
#define x first
#define y second
#define pb push_back
#define mp make_pair
#define all(v) v.begin(),v.end()
#define sz(v) (int)v.size()
#define up_b upper_bound
#define low_b lower_bound
#define nl '\n'
using namespace std;
using namespace __gnu_pbds;
typedef unsigned long long ll;
typedef long double ld;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update>ordered_set;
template<class T,int SZ> struct BIT{
  T t[SZ];
  void upd(int x,T y){
    for(int i=x;i<SZ;i=(i|(i+1))){
      t[i]+=y;
    }
  }
  T pref(int x){
    T res=0;
    for(int i=x;i>=0;i=(i&(i+1))-1){
      res+=t[i];
    }
    return res;
  }
  T get(int l,int r){
    return pref(r)-pref(l-1);
  }
};
template<class T,int SZ> struct ST{
  T t[4*SZ];
  void build(T a[],int v,int tl,int tr){
    if(tl==tr){
      t[v]=a[tl];
      return ;
    }
    int tm=(tl+tr)/2;
    build(a,v*2,tl,tm);
    build(a,v*2+1,tm+1,tr);
    t[v]=t[v*2]+t[v*2+1];
  }
  void upd(int v,int tl,int tr,int pos,T val){
    if(tl==tr){
      t[v]+=val;
      return ;
    }
    int tm=(tl+tr)/2;
    if(pos<=tm)upd(v*2,tl,tm,pos,val);
    else upd(v*2+1,tm+1,tr,pos,val);
    t[v]=t[v*2]+t[v*2+1];
  }
  T get(int v,int tl,int tr,int l,int r){
    if(tl>r||l>tr)return 0;
    if(l<=tl&&tr<=r)return t[v];
    int tm=(tl+tr)/2;
    return get(v*2,tl,tm,l,r)+get(v*2+1,tm+1,tr,l,r);
  }
};
const int N=2e5+11;
const int M=1e3+11;
const int W=1e3+11;
const int inf=INT_MAX;
const ll INF=1e18;
const ll mod=1e9+7;
const ld EPS=1e-9;
const int dx[4]={0,0,1,-1};
const int dy[4]={1,-1,0,0};
vector<pair<int,int> >g[N];
int c[N][2];
int up[N][18];
int st[N],en[N],timer,h[N];
int add[N],ans[N];
bool used[N];
void dfs(int v,int p){
  up[v][0]=p;
  h[v]=h[p]+1;
  for(int i=1;i<=17;i++){
    up[v][i]=up[up[v][i-1]][i-1];
  }
  st[v]=++timer;
  for(int i=0;i<sz(g[v]);i++){
    int to=g[v][i].x;
    if(to==p)continue;
    dfs(to,v);
  }
  en[v]=timer;
}
bool upper(int a,int b){
  return st[a]<=st[b]&&en[a]>=en[b];
}
int lca(int a,int b){
  if(upper(a,b))return a;
  if(upper(b,a))return b;
  for(int i=17;i>=0;i--){
    if(!upper(up[a][i],b)){
      a=up[a][i];
    }
  }
  return up[a][0];
}
int main(){
  ios_base::sync_with_stdio(0);
  cin.tie(0),cout.tie(0);
  int n;
  cin>>n;
  for(int i=1;i<n;i++){
    int u,v;
    cin>>u>>v>>c[i][0]>>c[i][1];
    g[u].pb(mp(v,i));
    g[v].pb(mp(u,i));
  }
  dfs(1,1);
  for(int i=2;i<=n;i++){
    int l=lca(i,i-1);
    if(l!=i)add[i]++,add[l]--;
    if(l!=(i-1))add[i-1]++,add[l]--;
  }
  queue<int>q;
  for(int i=1;i<=n;i++){
    if(st[i]==en[i]){
      q.push(i);
      used[i]=1;
    }
  }
  while(!q.empty()){
    int v=q.front();
    q.pop();
    for(int i=0;i<sz(g[v]);i++){
      if(g[v][i].x==up[v][0]){
        int to=g[v][i].x;
        add[to]+=add[v];
        ans[g[v][i].y]+=add[v];
        if(!used[to]){
          used[to]=1;
          q.push(to);
        }
        break;
      }
    }
  }
  ll res=0;
  for(int i=1;i<n;i++){
    res+=min(1ll*c[i][0]*ans[i],1ll*c[i][1]);
  }
  cout<<res;
}
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