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 int long long
#define ff first
#define ss second
#define pb push_back
const int N=3e5+5;
vector<pair<int,pair<int,int> > >v [N] ;
int ans=0;
int dp[N];
int par[32][N];
int sbtr[N];
int dist[N];
void dfs(int a, int p){
for(auto k:v[a]){
int b= k.ff;
if(b==p)continue;
par[0][b]=a;
dist[b]=dist[a]+1;
dfs(b,a);
}
}
int lca(int a, int b){
if(dist[b]>dist[a])swap(a,b);
int x=dist[a]-dist[b];
for(int i=0;i<=18;i++){
if(x & (1<<i)){
a=par[i][a];
}
}
x=0;
int u=a,g=b;
if(a==b){
return a;
}
for(int i=25;i>=0;i--){
if(par[i][u]!=par[i][g]){
u=par[i][u];
g=par[i][g];
}
}
u=par[0][u];
return u;
}
void fun(int a, int p){
for(auto k:v[a]){
int b=k.ff;
int c1=k.ss.ff,c2=k.ss.ss;
if(b==p)continue;
fun(b,a);
ans+=min(c1*sbtr[b],c2);
sbtr[a]+=sbtr[b];
}
sbtr[a]+=dp[a];
}
signed main(){
int n;
cin>>n;
for(int i=1;i<n;i++){
int a,b,c1,c2;
cin>>a>>b>>c1>>c2;
v[a].pb({b,{c1,c2}});
v[b].pb({a,{c1,c2}});
}
par[0][1]=1;
dfs(1,0);
for(int i=1;i<19;i++){
for(int j=1;j<=n;j++){
par[i][j]=par[i-1][par[i-1][j]];
}
}
for(int i=1;i<n;i++){
int a=i,b=i+1;
dp[a]++;
dp[b]++;
int c=lca(a,b);
dp[c]-=2;
}
fun(1,0);
cout<<ans;
}
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