Submission #1317122

#TimeUsernameProblemLanguageResultExecution timeMemory
1317122ghammazhassanCheerleaders (info1cup20_cheerleaders)C++20
54 / 100
1874 ms5572 KiB
// #include <bits/stdc++.h>
#include <iostream>
#include <cmath>
#include <algorithm>
#include <map>
#include <unordered_map>
#include <vector>
#include <iomanip>
#include <string>
#include <queue>
#include <set>
#include <deque>
using namespace std;
#define int long long
#define endl "\n"
#define fi first
#define se second
const int M=1e9+7;
const int inf = 1e14;
const int LOG=17;
const int N=2e5+5;
int n , m , c , w , k , t=1 , q=1 , x , y , z , l , r;
int fn[N];
void up(int i,int x){
    if (i<N){
        fn[i]+=x;
        up(i+(i&-i),x);
    }
}
int pr(int i){
    if (i==0)return 0;
    return fn[i]+pr(i-(i&-i));
}

void solve(){
    cin >> n;
    vector<int>a(1<<n);
    for (int i=0;i<(1<<n);i++){
        cin >> x;
        a[x]=i;
    }
    if (n==0){
        cout << 0 << endl;
        cout << 1 << endl;
        return;
    }
    vector<int>b=a;
    int mn=inf;
    int in=0,xo=0;
    for (int k=0;k<n;k++){
        int uo=0;
        for (int j=n-1;j>=0;j--){
            uo^=(1<<j);
            int c1=0,c2=0;
            for (int i=0;i<=(1<<n);i++){
                fn[i]=0;
            }
            for (int i=0;i<(1<<n);i++){
                c1+=i-pr(a[i]);
                up(a[i]+1,1);
            }
            vector<int>vi(1<<n);
            for (int i=0;i<(1<<n);i++){
                a[i]^=(1<<j);
            }
            for (int i=0;i<=(1<<n);i++){
                fn[i]=0;
            }
            for (int i=0;i<(1<<n);i++){
                c2+=i-pr(a[i]);
                up(a[i]+1,1);
            }
            if (c1<=c2){
                uo^=(1<<j);
                vector<int>vi(1<<n);
                for (int i=0;i<(1<<n);i++){
                    a[i]^=(1<<j);
                }
            }
            int u=min(c1,c2);
            if (u<mn){
                mn=u;
                in=k;
                xo=uo;
            }
        }
        a=b;
        for (int i=0;i<(1<<n);i++){
            int u=(a[i]&(1<<(n-1)));
            a[i]-=u;
            a[i]*=2;
            a[i]+=(u==(1<<(n-1)));
        }
        b=a;
    }
    string s;
    for (int i=0;i<in;i++){
        s+='2';
    }
    for (int i=n-1;i>=0;i--){
        if (xo&(1<<i)){
            s+='1';
        }
        s+='2';
    }
    // for (int j=0;j<in;j++){
    //     for (int i=0;i<(1<<n);i++){
    //         int u=(a[i]&(1<<(n-1)));
    //         a[i]-=u;
    //         a[i]*=2;
    //         a[i]+=(u==(1<<(n-1)));
    //     }
    // }
    // int c=0;
    // for (int i=0;i<=(1<<n);i++){
    //     fn[i]=0;
    // }
    // for (int i=0;i<(1<<n);i++){
    //     c+=i-pr(a[i]);
    //     up(a[i]+1,1);
    // }
    cout << mn << endl;
    // for (int i:a){
    //     cout << i << " ";
    // }
    // cout << endl;
    cout << s << endl;
}
signed main()    
{   

    ios::sync_with_stdio(0);//DO NOT USE IN INTERACTIVE
    cin.tie(0), cout.tie(0);//DO NOT USE IN INTERACTIVE
    cout << fixed << setprecision(9);
    srand(time(0));
    // int t=1;
    // cin >> t;
    for (int _=1;_<=t;_++){
        solve();
        q++;
    }
}
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