#include "prison.h"
#include <bits/stdc++.h>
using namespace std;
const int N=5005;
int n;
vector<vector<int>> devise_strategy(int _n){
n=_n;
int x=29;
vector<int> pw(8);
pw[0]=1;
for(int i=1;i<9;i++)pw[i]=pw[i-1]*3;
vector<vector<int>> s(x+1,vector<int>(n+1));
int id=0;
s[id][0]=0;
for(int j=1;j<=n;j++){
int val=j/pw[7]%3;
s[id][j]=id+val+1;
}
id++;
for(int i=7;i>=1;i--){
int c=i&1;
s[id][0]=c;
for(int j=1;j<=n;j++){
int val=j/pw[i]%3;
if(val==0){
int val2=j/pw[i-1]%3;
s[id][j]=id+3+val2;
if(i==1){
if(val2==0)s[id][j]=-2;
if(val2==2)s[id][j]=-1;
if(val2==1)s[id][j]=id+3;
}
}else{
s[id][j]=c-2;
}
}
id++;
s[id][0]=c;
for(int j=1;j<=n;j++){
int val=j/pw[i]%3;
if(val==1){
int val2=j/pw[i-1]%3;
s[id][j]=id+2+val2;
if(i==1){
if(val2==0)s[id][j]=-2;
if(val2==2)s[id][j]=-1;
if(val2==1)s[id][j]=id+2;
}
}else if(val==2){
s[id][j]=c-2;
}else{
s[id][j]=-c-1;
}
}
id++;
s[id][0]=c;
for(int j=1;j<=n;j++){
int val=j/pw[i]%3;
if(val==2){
int val2=j/pw[i-1]%3;
s[id][j]=id+1+val2;
if(i==1){
if(val2==0)s[id][j]=-2;
if(val2==2)s[id][j]=-1;
if(val2==1)s[id][j]=id+1;
}
}else{
s[id][j]=-c-1;
}
}
id++;
}
s[id][0]=0;
for(int j=1;j<=n;j++){
int val=j%3;
if(val==0){
s[id][j]=-1;
}else{
s[id][j]=-2;
}
}
return s;
}
