If we calculate the number of possible ways one could arrange 90 numbers, that is a very large number. And if my calculations were correct, it would require 463 bits to store that number! So, using this method, it's not possible to compress by 50%, because 90 bytes is 720 bits. OR if you store each int in 7 bits, then that's 630 bits total. So, you have a list of 630 bits. And mathematically, it is possible to store this list of ints in 463 bits BECAUSE you said that each int from 1 to 90 only occurs once!

But as I said, the compression ratio depends on the algorithm you're using! Using the mathematic approach I explained above, it is possible to store 630 bits in 463 bits ALWAYS regardless of how the numbers are shuffled! That means the output will be EXACTLY 463 bits regardless of whether we started with a list that is perfectly sorted or totally random.

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