#include "rotate.h"
#include <bits/stdc++.h>
using namespace std;
//#define int long long
#define speedIO ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
//#define mod 1000000007
#define f first
#define s second
#define pii pair<int,int>
#define pb push_back
const int M=50000;
vector<int> final;
void energy(int n, vector<int> v){
vector<pii> w(n);
for(int i=0;i<n;i++){
w[i]={v[i],i};
}
sort(w.begin(),w.end());
set<pair<pii,int>> a;
for(int i=0;i<n;i++){
a.insert({{w[i].f,i},w[i].s});
}
//will work with w, w[i].s is the og index.
// a.f.f is value, a.f.s is the sorted index and a.s is the og index.
int idx=0;
vector<bool> marked(n,false);
while(idx<n){
if(marked[idx]){
idx++;
continue;
}
marked[idx]=true;
if(w[idx].f<M/2){
auto it=a.upper_bound({{w[idx].f+M/2,1e9},1e9});
it--; // j st w[j]<=w[i]+M/2<w[j+1]
auto element=*it;
if(element.f.s-idx>=n/2){
rotate({w[idx].s},w[element.f.s].f+M/2-w[idx].f);
a.erase({{w[idx].f,idx},w[idx].s});
w[idx].f=(w[element.f.s].f+M/2)%M;
a.insert({{w[idx].f,idx},w[idx].s});
marked[element.f.s]=true;
}else{
rotate({w[idx].s},w[(element.f.s+1)%n].f+M/2-w[idx].f);
a.erase({{w[idx].f,idx},w[idx].s});
w[idx].f=(w[(element.f.s+1)%n].f+M/2)%M;
a.insert({{w[idx].f,idx},w[idx].s});
marked[(element.f.s+1)%n]=true;
}
}else{
auto it=a.lower_bound({{w[idx].f-M/2,0},0});
//it--; // j st w[j-1]<w[i]+M/2<=w[j]
auto element=*it;
if(idx-element.f.s>=n/2){
rotate({w[idx].s},w[element.f.s].f+M/2-w[idx].f);
a.erase({{w[idx].f,idx},w[idx].s});
w[idx].f=(w[element.f.s].f+M/2)%M;
a.insert({{w[idx].f,idx},w[idx].s});
marked[element.f.s]=true;
}else{
rotate({w[idx].s},w[(element.f.s-1)%n].f+M/2-w[idx].f);
a.erase({{w[idx].f,idx},w[idx].s});
w[idx].f=(w[(element.f.s-1)%n].f+M/2)%M;
a.insert({{w[idx].f,idx},w[idx].s});
marked[(element.f.s-1)%n]=true;
}
}
idx++;
}
}
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