Consider a permuation as an array of real numbers.

[kyuridenamida]

This came from @hiro116s.
He said we can consider numbers as real numbers, not as a permutation.
That's because only their big-small relationship is important.

We can rephrase some controls with this idea, though that's not true they are totally equivalent.

• Swap two numbers -> Assign random numbers to one number.
• Output permutation -> Output after creating permutation where the i-th highest (0-based) number is changed to number i.

[kyuridenamida]

We got an amazing result:
https://docs.google.com/spreadsheets/d/1-PTRg_Xf_O9qzIGzw3JzSuv0gfLR_74fFDSvBZ4VhoA/edit#gid=412258836