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Should be 2^8192

Working on things like the busy beaver problem helps us understand how "fancy" you can make a program of a given size.

For 1024 bytes, even with an inefficient instruction encoding, the answer is "pretty fancy".

After all, you can fit a LISP into 512 bytes of x86 code-- https://github.com/jart/sectorlisp . About 64 bytes of that is strings!

In addition to all those programs-- about anything you can write in any language on a page or so fits compressed. So every short poem, etc, small essay, newspaper column, etc.




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