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;
typedef long long ll;
typedef pair<ll,ll> ii;
vector<ll> x,per;
vector<ii> y;
ll pa[20],ma[20];
const ll MAX=1e18;
void init(ll n){
for(ll i=0;i<n;i++){
pa[i]=i;
ma[i]=x[i];
}
}
ll findset(ll i){
if(pa[i]==i)return i;
return pa[i]=findset(pa[i]);
}
bool issameset(ll i,ll j){
return findset(i)==findset(j);
}
void unionset(ll i,ll j){
if(!issameset(i,j)){
ll u=findset(i),v=findset(j);
pa[u]=v;
ma[v]=max(ma[u],ma[v]);
}
}
int tree[400010];
void init(int node,int a,int b){
if(a>b) return;
if(a==b){
tree[node]=a;
return;
}
int mid=(a+b)/2;
init(2*node+1,a,mid);
init(2*node+2,mid+1,b);
if(x[tree[2*node+1]]>x[tree[2*node+2]])
tree[node]=tree[2*node+1];
else
tree[node]=tree[2*node+2];
}
int query(int node,int a,int b,int l,int r){
if(b<l or a>r) {
return -1;
}
if(l<=a and r>=b) return tree[node];
int mid=(a+b)/2;
int lc=query(2*node+1,a,mid,l,r);
int rc=query(2*node+2,mid+1,b,l,r);
int vl,vr;
vl=vr=-1;
if(rc!=-1) vr=x[rc];
if(lc!=-1) vl=x[lc];
if(vl>vr){
return lc;
}
else return rc;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
ll n;
cin>>n;
vector<ii> con;
map<ll,ii>no;
for(ll i=0;i<n;i++){
ll a; cin>>a;
x.push_back(a);
}
for(ll i=0;i<n-1;i++){
ll a,b;
cin>>a>>b;
a--; b--;
if(n<=10){
no[i]=ii(a,b);
per.push_back(i);
con.push_back(ii(a,b));
}
}
if(n<=10){
ll mi=MAX;
do{
init(n);
ll s=0;
for(ll i=0;i<n-1;i++){
ll id=per[i];
ll u=no[id].first,v=no[id].second;
s+=(ma[findset(u)]+ma[findset(v)]);
unionset(u,v);
}
mi=min(mi,s);
}while(next_permutation(per.begin(),per.end()));
cout<<mi<<endl;
}
else{
int l=0,r=n-1;
queue<ii> q;
q.push(ii(l,r));
init(0,0,n-1);
ll s=0;
while(!q.empty()){
l=q.front().first;
r=q.front().second;
q.pop();
int id=query(0,0,n-1,l,r);
if(id!=0){
int ml=query(0,0,n-1,l,id-1);
s+=(x[ml]+x[id]);
if(l!=id-1){
q.push(ii(l,id-1));
}
}
if(id!=r){
int ml=query(0,0,n-1,id+1,r);
s+=(x[ml]+x[id]);
if(r!=id+1){
q.push(ii(id+1,r));
}
}
}
cout<<s<<endl;
}
}
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