이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ii pair<ll,ll>
#define fi first
#define se second
#define endl '\n'
#define puf push_front
#define pof pop_front
#define pub push_back
#define pob pop_back
#define lb lower_bound
#define ub upper_bound
#define rep(x,s,e) for (auto x=s-(s>e);x!=e-(s>e);s<e?x++:x--)
#define all(x) (x).begin(),(x).end()
#define sz(x) (int) (x).size()
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int n,nn;
int arr[132000];
vector<int> v[132000];
int main(){
cin.tie(0);
cout.tie(0);
cin.sync_with_stdio(false);
cin>>nn;
n=1<<nn;
if (n==1){
cout<<0<<endl;
return 0;
}
rep(x,0,n) cin>>arr[x];
ll ans=1e18;
string st="";
rep(zzz,0,nn){
//rep(x,0,n) cout<<arr[x]<<" "; cout<<endl;
rep(x,0,n) v[x].clear(),v[x].pub(arr[x]);
ll curr=0;
string s=string(zzz,'2');
for (int w=1;w<n;w<<=1){
ll normal=0,flip=0;
for (int x=0;x<n;x+=2*w){
vector<int> l=v[x],r=v[x+w];
int idx=0;
for (auto &it:r){
while (idx!=sz(l) && l[idx]<it) idx++;
flip+=idx,normal+=sz(l)-idx;
}
vector<int> temp;
while (!l.empty() && !r.empty()){
if (l.back()>r.back()) temp.pub(l.back()),l.pob();
else temp.pub(r.back()),r.pob();
}
while (!l.empty()) temp.pub(l.back()),l.pob();
while (!r.empty()) temp.pub(r.back()),r.pob();
reverse(all(temp));
v[x]=temp;
}
//cout<<normal<<" "<<flip<<endl;
s+='2';
if (flip<normal){
curr+=flip;
s+='1';
}
else{
curr+=normal;
}
}
//cout<<curr<<endl;
if (curr<ans){
ans=curr;
st=s;
}
int temp[132000];
rep(x,0,n){
int xx=(x|((x&1)<<nn))>>1;
temp[xx]=arr[x];
}
swap(arr,temp);
}
cout<<ans<<endl;
cout<<st<<endl;
}
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