Hello everyone,

I'm trying to understand
the linear-time solution
proposed in the analysis
of the "Mysterious Road Signs" problem
from Round 1B 2018.

Could anybody help me with that please?

While I believe it should work,
I'm still not convinced.

I understand that we maintain two candidates.
I also understand meanings
behind the (M,N,start,xstart) properties
of both candidates.

What I do not understand is
how the proposed procedure
(for creating a new candidate)
guarantees to maintain the invariants.

It also is not clear
why two candidates are enough?

Could someone elaborate on that parts?

A proof would be great of course,
but I would be happy to hear any hints,
explanation of logic behind the solution, etc.

Thanks in advance!

Best regards,
Michael.


-- 
Michael V. Antosha

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