#include "prison.h"
#include <bits/stdc++.h>
using namespace std;
const int X = 22;
void debug(vector<vector<int>> s) {
int N = s[0].size() - 1;
cout << "\t";
for (int i=0; i<=N; i++) cout << i << "\t";
cout << "\n";
for (int i=0; i<=X; i++) {
cout << i << "\t";
for (int j=0; j<=N; j++) cout << s[i][j] << "\t";
cout << "\n";
}
}
int kth(int x, int k) {
k = 7-k;
while (k--) x/=3;
return x%3;
}
std::vector<std::vector<int>> devise_strategy(int N) {
// cout << big(5000) << endl;
vector s(X+1, vector<int>(N+1));
s[0][0] = 0;
for (int i=1; i<=22; i++) {
int b = i-1;
b = (b - b%3) / 3;
s[i][0] = 1 - b%2;
}
for (int i=1; i<=N; i++) s[0][i] = kth(i, 0) + 1;
for (int i=1; i<=21; i++) for (int j=1; j<=N; j++) {
int b = i-1;
int r = b%3;
b = (b - b%3) / 3;
if (r < kth(j, b)) s[i][j] = -(1-s[i][0]+1);
else if (r == kth(j, b)) s[i][j] = 3 * (b+1) + kth(j, b+1) + 1;
else if (r > kth(j, b)) s[i][j] = -(s[i][0]+1);
if (b==6 && r == kth(j, b)) {
if (kth(j, b+1)==0) s[i][j] = -(s[i][0]+1);
else if (kth(j, b+1)==1) s[i][j] = 22;
else if (kth(j, b+1)==2) s[i][j] = -(1-s[i][0]+1);
}
}
for (int i=1; i<=N; i++) {
if (kth(i, 7) == 0) s[22][i] = -(s[22][0]+1);
else s[22][i] = -(1-s[22][0]+1);
}
// debug(s);
return s;
}
