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  • 3 weeks later...

I solved this problem using reverse engineering. I drew an 8x8 and then starting cutting out the blocks to solve. This was unlike the 4x6 which I quickly saw visually as a simple shift. Question - what methods did you use to solve this 8x8 and the 4x6? Just curious.

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One logical way to start the problem is to identify which blocks could not be in the same section. Since the final square is 8 x 8, 2 blocks can not be in the same section if they are further than 7 blocks away vertically or horizontally. In this problem, the original shape is 11 squares wide. Therefore the left 3 rows can certainly not be in the same section as the right 3 rows. This gets us at least this far (see pic) 8x8.JPG[/attachment:13aa2] This approach works as a reasonable starting point for many of these types of problems.

In this particular problem, the next thing is to identify which block could possibly provide the top right corner of the final 8 x 8 square. From there on it is relatively easy.

post-2655-1196574462_thumbjpg

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