#include <bits/stdc++.h>
using namespace std;
vector<vector<int>> devise_strategy(int N) {
    vector<vector<int>> ans(42, vector<int>(N + 1, 0));
    int X, Y, K;
    for (int i = 0; i <= 41; i++) {
        X = i == 0 ? 12 : i / 3 - 1, Y = i % 3;
        ans[i][0] = i == 0 ? 0 : (Y == 2 ? 0 : 1);
        for (int j = 1; j <= N; j++) {
            K = (j & (1 << X)) >> X;
            if (Y == 2)
                ans[i][j] = (X + 1) * 3 + K;
            else {
                if (K < Y)
                    ans[i][j] = -2;
                else if (K > Y)
                    ans[i][j] = -1;
                else
                    ans[i][j] = X * 3 + 2;
            }
        }
    }
    return ans;
}
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