# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
203219 | mayhoubsaleh | Političari (COCI20_politicari) | C++14 | 456 ms | 524292 KiB |
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 pb push_back
#define ll long long
#define left 2*i+1
#define righ 2*i+2
#define mid (l+r)/2
using namespace std;
ll n,m;
const ll mxs=200005;
vector<ll>v[mxs],tr;
ll e[mxs][4];
ll par[mxs],lazy[mxs],head[mxs],heavy[mxs],dep[mxs],st[4*mxs],id[mxs];
ll dfs(ll nod,ll fat){
par[nod]=fat;
dep[nod]=1+dep[fat];
ll sz=1;
ll mx=-1;
for(auto x:v[nod]){
if(x==fat)continue;
ll cursz=dfs(x,nod);
sz+=cursz;
if(cursz>mx){
heavy[nod]=x;
mx=cursz;
}
}
return sz;
}
void dec(ll nod,ll h){
id[nod]=tr.size();
tr.pb(nod);
head[nod]=h;
if(heavy[nod])dec(heavy[nod],h);
for(auto x:v[nod]){
if(x==heavy[nod]||x==par[nod])continue;
dec(x,x);
}
}
void frt(ll i,ll l,ll r){
if(lazy[i]){
st[i]+=(r-l+1)*lazy[i];
if(l!=r){
lazy[left]+=lazy[i];
lazy[righ]+=lazy[i];
}
lazy[i]=0;
}
}
ll getans(ll i,ll l,ll r,ll id){
frt(i,l,r);
if(r<id||l>id)return 0;
if(l==r)return st[i];
return getans(left,l,mid,id)+getans(righ,mid+1,r,id);
}
void upd(ll i,ll l,ll r,ll ql,ll qr){
frt(i,l,r);
if(r<ql||l>qr)return;
if(l>=ql&&r<=qr){
st[i]+=(r-l+1);
if(l!=r){
lazy[left]++;
lazy[righ]++;
}
return ;
}
upd(left,l,mid,ql,qr);
upd(righ,mid+1,r,ql,qr);
st[i]=st[left]+st[righ];
}
void add(ll x,ll y){
while(head[x]!=head[y]){
if(dep[head[x]]<dep[head[y]])swap(x,y);
upd(0,0,m-1,id[head[x]],id[x]);
x=par[head[x]];
}
if(x==y)return;
if(id[x]>id[y])swap(x,y);
upd(0,0,m-1,id[x]+1,id[y]);
}
int main()
{
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
cin>>n;
for(ll i=0;i<n-1;i++){
for(ll j=0;j<4;j++){
cin>>e[i][j];
}
v[e[i][0]].pb(e[i][1]);
v[e[i][1]].pb(e[i][0]);
}
dfs(1,0);
dec(1,1);
m=tr.size();
for(ll i=1;i<n;i++){
add(i,i+1);
}
//for(ll i=1;i<=n;i++)cout<<i<<' '<<head[i],cout<<endl;
ll ans=0;
for(ll i=0;i<n-1;i++){
if(e[i][0]==par[e[i][1]])swap(e[i][0],e[i][1]);
ll cnt=getans(0,0,m-1,id[e[i][0]]);
//cout<<cnt<<endl;
ans+=min(cnt*e[i][2],e[i][3]);
}
cout<<ans<<endl;
return 0;
}
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