[Retros] Mushikui Reconstruction mathematical(+retro) question

Juha Saukkola juha_saukkola at hotmail.com
Mon May 23 02:09:02 EDT 2011



Nice question:
What's the longest string for one move?
And how many different moves of that length exist?


From: tsai39 at illinois.edu
To: retros at janko.at
Date: Sun, 22 May 2011 18:43:03 -0500
Subject: Re: [Retros] Mushikui Reconstruction (completely unknown moves)


> 1.? ** 2.**** **** 3.? ***** 4.** ***** 5. **** ? 6. ****** **** 7. *****

>

> This example has 13 single moves and 3 question marks, so I shall define

> its

> "question mark density" to be 3/13.

>

> Needless to say, a new open quest I will leave to you is to find a

> sequence

> with the highest question mark density!



Oops. I suddenly realize that the part up to the seventh single moves can be
modified into

1.? ? 2.**** **** 3.? ***** 4.**

This has a higher question mark density 3/7. Just a remark :)


There's one more challenge for everybody:

Find a mushikui sequence, so that you may replace the most number of
consecutive moves into question marks!

For example, the one above has two consecutive question marks.


Mu-Tsun


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