knight's tour revamped

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aduubian
Posts: 25
Joined: Thu Apr 16, 2009 10:32 pm UTC

knight's tour revamped

Postby aduubian » Wed Jul 21, 2010 1:03 am UTC

I was so bored just now that I took down my family's communal calendar and played the knight's tour on July.

Spoiler:
7-2-17-30-21-6-19-4-13-26-11-20-25-12-27-18-5-14-1-10-15-28-23-8-3-16-31-22-9-24-29, apologies if I miscopied anything from my notebook

I happened to notice, as I was writing out the final solution that the days 6, 11, and 23 happened to correspond to the 6th, 11th, and 23rd move. So here is the challenge:

Complete a knight's tour on the July 2010 calendar page and maximize the number of days which are the same as their move number. I got three without trying, surely you can do better!

Maquox
Posts: 3
Joined: Fri Jul 23, 2010 3:58 am UTC

Re: knight's tour revamped

Postby Maquox » Fri Jul 23, 2010 4:12 am UTC

You got four...

aduubian
Posts: 25
Joined: Thu Apr 16, 2009 10:32 pm UTC

Re: knight's tour revamped

Postby aduubian » Fri Jul 23, 2010 11:59 am UTC

Oh that's right! Thats what happens when you post something so very late without any caffeine in your bloodstream, thanks for pointing it out Maquox. 2 occurs on the second move.

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jaap
Posts: 2094
Joined: Fri Jul 06, 2007 7:06 am UTC
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Re: knight's tour revamped

Postby jaap » Fri Jul 23, 2010 12:12 pm UTC

Here is one with 8:
Spoiler:
5 18 13 *4 19 28 23 10 1 6 *11 26 21 30 *15 2 *17 8 3 16 31 *22 7 20 *25 12 *27 14 *29 24 9


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