Hi Mike,

Regarding point 1:, that was me, Jon Hough. 


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On Mon, 4/9/18, 'Mike Day' via Programming <programm...@jsoftware.com> wrote:

 Subject: Re: [Jprogramming] Quora Problem
 To: programm...@jsoftware.com
 Date: Monday, April 9, 2018, 5:33 PM
 
 Hello Skip
 Points:
 0: is this the same
 Quora which keeps sending me e-messages with headers 
 such as
 "What are the best
 things for Oxford students to do on weekends?"
 "What is the best and most prestigious
 English university nowadays? 
 Oxford?
 Cambridge?"
 - both received
 yesterday/today!
 
 1: A reply
 has just popped up from a sender which I can only see as 
 "Programming Forum",
 probably not from Jon Hough,  but replying to
 his comment. It deals in 
 the
 combinatorial
 approach which has to be used
 for larger such problems. It would be nice 
 to know who.
 
 2: Here's a smaller brute force approach. 
 Consider valid numbers as 
 sextuplets of
 digits
 drawn from 0 1 2,  possibly followed
 by adding 1 to each digit.  We 
 don't
 need to worry at
 all about 3 to 9 to start
 with.
 
 So, (working on
 digits 0 1 2):
     100 200 300 400 { sext
 =: 3#.inv i.3^6   NB. show a few members of 
 the set
 0 1 0 2 0 1
 0 2 1 1 0 2
 1 0 2 0 1 0
 1 1 2 2 1 1
 
 +/(3>>./@:((1, 2~:/\])#;.1 ]))"1
 sext
 
 
 
 On 09/04/2018 06:51, Skip Cave wrote:
 > Here's a fun math challenge on
 Quora:
 >
 > Find the
 number of 6-digit numbers made up of the digits 1, 2, and 3
 which
 > have no digit recurring three or
 more times, consecutively?
 >
 > The link to my answer on Quora is: https://goo.gl/BzBDQe
 >
 > Skip Cave
 > Cave Consulting LLC
 >
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