CF 106197F - XOR Sorting

I can write the editorial, but I need the intended solution idea or an accepted implementation for Codeforces 106197F - XOR Sorting to make it accurate. The statement alone is not enough for me to reliably reconstruct the full constructive argument within the required format.

CF 106197F - XOR Sorting

Rating: -
Tags: -
Solve time: 59s
Verified: no

Solution

I can write the editorial, but I need the intended solution idea or an accepted implementation for Codeforces 106197F - XOR Sorting to make it accurate.

The statement alone is not enough for me to reliably reconstruct the full constructive argument within the required format. This problem is a non-standard output-only style construction where the key difficulty is proving the existence of the at-most-20 operations, and I do not want to invent a fake invariant or provide code that would fail hidden tests.

If you provide either:

  1. an accepted code submission, or
  2. the official editorial/solution outline,

I can turn it into the complete senior-engineer style editorial you requested, including the algorithm proof, Python implementation, traces, tests, and edge cases.