#include "prison.h"
#include <bits/stdc++.h>
using namespace std;
vector<vector<int>> devise_strategy(int N) {
vector<vector<int>> ret(27, vector<int>(N + 1));
int num = 0;
vector<vector<int>> trans(2, vector<int>(13));
for (int i = 12; i >= 0; --i) {
trans[0][i] = ++num;
trans[1][i] = ++num;
}
{ // set begin bit
ret[0][0] = 0;
for (int i = 1; i <= N; ++i) {
ret[0][i] = trans[i >> 12 & 1][12];
}
}
for (int j = 0; j <= 1; ++j) {
int aFew = -2, bFew = -1;
for (int i = 12; i >= 0; --i) {
swap(aFew, bFew);
int id = trans[j][i];
ret[id][0] = (i & 1 ? 0 : 1);
for (int value = 1; value <= N; ++value) {
int bit = (value >> i & 1);
if (bit != j) {
ret[id][value] = (j < bit ? aFew : bFew);
continue;
}
if (i) ret[id][value] = trans[value >> (i - 1) & 1][i - 1];
}
}
}
return ret;
}
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