#include <bits/stdc++.h>
#include "prison.h"
using namespace std;
#define pb push_back
#define mp make_pair
int conv(int id){
if (id==0) return -1;
return -2;
}
int numbitt(int x){
int res=0;
while (x>0){
x/=2;
res++;
}
return res;
}
vector<vector<int> > devise_strategy(int n){
int numbit=numbitt(n);
//cout<<numbit<<'\n';
vector<vector<int> > ans(numbit*2+1,vector<int>(n+1,0));
ans[0][0]=0;
for (int j=1;j<=n;j++){
if (j&(1<<numbit)) ans[0][j]=2;
else ans[0][j]=1;
}
for (int i=1;i<(int)ans.size();i++){
int lol=(i+1)/2;
if (lol%2==0) ans[i][0]=0;
else ans[i][0]=1;
int bit=numbit-lol;
//cout<<i<<' '<<bit<<'\n';
for (int j=1;j<=n;j++){
if (i%2==1 && j&(1<<bit)){
ans[i][j]=conv(ans[i][0]);
}
else if (i%2==0 && !(j&(1<<bit))){
ans[i][j]=conv(1-ans[i][0]);
}
else {
if (bit==0){
ans[i][j]=0;
continue;
}
if (j&(1<<(bit-1))){
ans[i][j]=lol*2+2;
}
else {
ans[i][j]=lol*2+1;
}
}
}
}
return ans;
}
