Do you mean a 'mapping'?
i.e.
1 --> 4
2 --> 3
3 --> 2
4 --> 1

Where --> means 'maps to'.

Or do you want to arrange the bits so that there is always a different
result after the operation?
i.e.
1 --> [0..0xffff]
2 --> [0..0xffff]
...

Any ouput is valid given an integer input.


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