#include "prison.h"
#include <bits/stdc++.h>
using namespace std;
vector<vector<int>> devise_strategy(int N) {
    vector<vector<int>> ret(25, vector<int>(N + 1));  
    
    int num = 0;
    vector<vector<int>> trans(2, vector<int>(13));
    for (int i = 12; i >= 1; --i) {
        trans[0][i] = ++num;
        trans[1][i] = ++num;
    }
    
    { // set begin bit
        ret[0][0] = 0;
        for (int i = 1; i <= N; ++i) {
            ret[0][i] = trans[i >> 12 & 1][12];
        }
    }
    
    for (int j = 0; j <= 1; ++j) { 
        int aFew = -2, bFew = -1;
        for (int i = 12; i >= 1; --i) { 
            swap(aFew, bFew);
            
            int id = trans[j][i];
            ret[id][0] = (i & 1 ? 0 : 1);
            for (int value = 1; value <= N; ++value) { 
                int bit = (value >> i & 1);
                if (bit != j) {
                    ret[id][value] = (j < bit ? aFew : bFew);
                    continue;
                }
                if (i == 1) { 
                    ret[id][value] = ((value >> 0 & 1) ? aFew : bFew);
                } else ret[id][value] = trans[value >> (i - 1) & 1][i - 1];
            }
        }
    }
    
    return ret;
}
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