#include<bits/stdc++.h>
using namespace std;
#define in array<int, 2>
#define pb push_back
#define pob pop_back
vector<vector<int>> devise_strategy(int N)
{
int X = 24;
vector<vector<int>> s(X+1);
vector<int> p3(9, 1);
for(int i = 1; i <= 8; i++)
p3[i] = 3*p3[i-1];
//0 ? -> 0
//1 ? -> 1
//2 ? -> 2
//0, 1, 2, 3, 4, 5, 6, 7
s[0][0] = 0;//Check A.
for(int i = 1; i <= N; i++)
s[0][i] = 22 + ((i/p3[7])%3);
for(int i = 0; i < X; i++)
{
//Stuff in here goes into s[i+1]
s[i+1].resize(N+1);
int b = (i/3);
int v = i%3;
s[i+1][0] = b%2;
// A B
//b odd -> v ?
//b even-> ? v
for(int j = 1; j <= N; j++)
{
int vp = (j/p3[b])%3;
if(vp > v)
s[i+1][j] = -2 + (b%2);
else if(vp < v)
s[i+1][j] = -1 - (b%2);
else if(b == 0)
s[i+1][j] = 0;//this should never happen in real life play-through
else
s[i+1][j] = 3*(b-1) + ((j/p3[b-1])%3) + 1;
}
}
return s;
}
