#include "prison.h"
#include <vector>
std::vector<std::vector<int>> devise_strategy(int N) {
using namespace std;
vector<vector<int>> strat(22, vector<int>(N + 1, 0));
vector<int> p3(8);
p3[0] = 1;
p3[1] = 4;
p3[2] = 8;
for (int i = 3; i < 8; ++i) {
p3[i] = p3[i - 1] * 3;
}
strat[0][0] = 1;
for (int i = 1; i <= N; ++i) {
strat[0][i] = (i / p3[7]) + 1;
}
for (int i = 0; i < 5; ++i) {
strat[1 + 3 * i][0] = strat[2 + 3 * i][0] = strat[3 + 3 * i][0] = i % 2;
for (int j = 1; j <= N; ++j) {
if ((j / p3[7 - i]) % 3 == 0) {
strat[2 + 3 * i][j] = strat[3 + 3 * i][j] = -1 - i % 2;
strat[1 + 3 * i][j] = 4 + 3 * i + (j / p3[6 - i]) % 3;
} else if ((j / p3[7 - i]) % 3 == 1) {
strat[3 + 3 * i][j] = -1 - i % 2;
strat[1 + 3 * i][j] = -2 + i % 2;
strat[2 + 3 * i][j] = 4 + 3 * i + (j / p3[6 - i]) % 3;
} else {
strat[2 + 3 * i][j] = strat[1 + 3 * i][j] = -2 + i % 2;
strat[3 + 3 * i][j] = 4 + 3 * i + (j / p3[6 - i]) % 3;
}
}
}
strat[16][0] = strat[17][0] = strat[18][0] = 1;
for (int i = 1; i <= N; ++i) {
if ((i / p3[2]) % 3 == 0) {
strat[17][i] = strat[18][i] = -2;
strat[16][i] = 19 + (i >> 2) % 2;
} else if ((i / p3[2]) % 3 == 1) {
strat[18][i] = -2;
strat[16][i] = -1;
strat[17][i] = 19 + (i >> 2) % 2;
} else {
strat[17][i] = strat[16][i] = -1;
strat[18][i] = 19 + (i >> 2) % 2;
}
}
strat[19][0] = strat[20][0] = 0;
strat[21][0] = 1;
for (int i = 1; i <= N; ++i) {
if ((i >> 2) % 2 == 0) {
strat[20][i] = -1;
if (i % 4 == 0) {
strat[19][i] = -1;
} else if (i % 4 == 3) {
strat[19][i] = -2;
} else {
strat[19][i] = 21;
}
} else {
strat[19][i] = -2;
if (i % 4 == 0) {
strat[20][i] = -1;
} else if (i % 4 == 3) {
strat[20][i] = -2;
} else {
strat[20][i] = 21;
}
}
if (i%4 < 2) {
strat[21][i] = -2;
} else {
strat[21][i] = -1;
}
}
return strat;
}
