#include "prison.h"
#include <bits/stdc++.h>
using namespace std;
int kth(int x, int k) {
k = 12-k;
while (k--) x/=2;
return x%2;
}
const int X = 24;
std::vector<std::vector<int>> devise_strategy(int N) {
vector s(X+1, vector<int>(N+1));
s[0][0] = 0;
for (int i=1; i<=X; i++) {
int b = i-1;
b = (b - b%2) / 2;
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<=X; i++) for (int j=1; j<=N; j++) {
int b = i-1;
int r = b%2;
b = (b-r) / 2;
if (r < kth(j, b)) s[i][j] = -(1-s[i][0]+1);
else if (r == kth(j, b)) s[i][j] = 2*(b+1) + kth(j, b+1) + 1;
else if (r > kth(j, b)) s[i][j] = -(s[i][j]+1);
if (b == 11 && r == kth(j, b)) {
if (kth(j, b+1) == 0) s[i][j] = -(s[i][0]+1);
else s[i][j] = -(1-s[i][0]+1);
}
}
return s;
// 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";
// }
return s;
}
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