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[OT] One for the weekend. (Updated: Answer posted!)by BrowserUk (Patriarch)
|on Mar 27, 2015 at 18:38 UTC||Need Help??|
BrowserUk has asked for the wisdom of the Perl Monks concerning the following question:
Whilst waiting for my tea to brew, and thinking about my latest programming problem, I found myself 'walking the diagonals' on my tiled kitchen floor.
Walking the diagonals means starting in one corner of the rectangle and walking away at 45 degrees:
And when you hit the opposite edge, 'reflect' back in the other direction:
Ditto at the ends:
The walk ends when you arrive directly into a corner. See the first diagram, but going the other way.
What I noticed was that starting in one corner, and continuing until I encountered another corner, I found myself in the diagonally opposite corner. When I drew a diagram on a post-it, I discovered that I had walked on every tile exactly once.
This was interesting, because I've been doing this 'walking the diagonals' when deep in thought -- a mindless repetitious activity that frees the mind for deeper things -- and recalled that in my old house kitchen, where the rectangle was the same width, but 2 tiles shorter, the tour also ended up in the opposite diagonal; also covered every tile exactly once and was
How big is the rectangle in my current kitchen? Answer: 13 x 5.
(Other answers are possible, particularly 5x9 solution; but most of them would either have required me to use one of the terms: 'kitchenette' or 'galley' (as in train or ship) rather than kitchen :)
I was going to post code, but choroba's is much prettier; especially if you a) stop it considering even numbers; b) add a system 'cls'; or equivalent into the redraw loop; c) reduce the sleep time after the for loop to 1/10th second. Quite hypnotic once the sizes get up a bit (I start it at 21 and inc by 2).
With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'
Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
"Science is about questioning the status quo. Questioning authority". I'm with torvalds on this
In the absence of evidence, opinion is indistinguishable from prejudice. Agile (and TDD) debunked