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You're right, 8 bits is small enough to just store in a table.

This trick will work for any number of bits though. You might not want to use 2^64 entries in your table.



The question was an unsigned 8-bit input, not an arbitrary number.

And the "trick" given in the answer still depends on a fixed number of input bits, no matter if it's 8, 32, or 10^100.




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