GC1=: [: +/\ 0: , (, (>:@# , -@|.))^:(]`([EMAIL PROTECTED]:))

   GC1 3
0 1 3 2 6 7 5 4

   (GC1-:,@(, ,:;.0 + */@:$)^:(]`0:))15
1

   100 ts 'GC1 15'
0.00044229987 525312
   100 ts'(, ,:;.0 + */@:$)^:(]`0:)15'  NB. number 3
0.0018677993 1055680
   100 ts'(22 b. _1: 33 b. ])@:(2 i.@:^ ])15'   NB. number 6
0.00029754291 788736


R.E. Boss


-----Oorspronkelijk bericht-----
Van: [EMAIL PROTECTED]
[mailto:[EMAIL PROTECTED] Namens Dan Bron
Verzonden: dinsdag 5 december 2006 16:41
Aan: [email protected]
Onderwerp: [Jprogramming] Gray codes

Given positive integer  n  , generate the first  2^n  Gray codes.   
Wikipedia defines Gray codes as a binary numeral system where two  
successive values differ in only one digit:

           G 3
        0 0 0
        0 0 1
        0 1 1
        0 1 0
        1 1 0
        1 1 1
        1 0 1
        1 0 0

The format of your result may either be a table of booleans or a list  
of integers (which formats can be readily interchanged with  #:  and   
#.  ).

           #. G 3
        0 1 3 2 6 7 5 4

Though the usual metrics of parisimony apply (brief, fast, lean), the  
larger goal here is to generate as many __different__ interesting  
solutions in J as possible.  I chose this problem because I think it's  
particularly amenable to that goal.  (Though I have to admit that  
while I've submitted 5 solutions, they only represent 3 different ways  
of attacking the problem; the last two were submitted only out of  
pride.)

See  http://www.jsoftware.com/jwiki/Puzzles/Gray_Code  for the full  
rules (and spoilers down the page).

-Dan

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