Intuition behind solution of Kill Anton problem in cf round 723

Правка en3, от bully....maguire, 2021-06-04 15:27:07

problem

The most important observation here is that similar characters must be together. I want to ask people who solved it by themselves reached to that observation ? It was asked by codebuster_10 here but no one replied. Editorial gives the mathematical proof but I want to know the lane of thought (because first we make guess and then justify).

Also it will be good if someone provides easier way of justifying it.

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en3 Английский bully....maguire 2021-06-04 15:27:07 71
en2 Английский bully....maguire 2021-06-04 15:23:42 126
en1 Английский bully....maguire 2021-06-04 15:21:21 417 Initial revision (published)