Um. 6x6x6 is 6^36; 8x8x6 is 6^64. 6^64 / 6^36 = 6140942214464815497216 *2 minutes = A very long time :)

That would be true if I had used the brute force algorithm that has complexity O(S^N2) or worse... but I had not used it!

My solution has complexity O(N²S^2N) so, roughly, t_6x6,6 = k*6²*6^2*6 = 2min, so k = 2/78364164096 and t_8x8,6 = k*8²*6^2*8 = 180551034077184*2/78364164096 = 4608min

My solution has complexity O(N²2^NS^2N) so, roughly, t_7x7,6 = k*7²*2⁷*6^2*7 = 139min, so k = 139/A and t_8x8,6 = k*8²*6^2*8 = 180551034077184*139/A = 13000min

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