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Sure, "only 64 bits of state" is interesting. I find it more interesting though that it is less than 190 non-obfuscated lines - and it actually works.

Nice job.

Whats so crazy about it though? Intuitively it seems very likely to me that all possible states of 2028 would fit into a 64 bit number.

4x4 = 16 tiles, 64/16 = 4 bits, 16 powers of two = space for 0-65536 per tile.

So going up to only 2048 would leave some room even.