Besides time and space, you need a new category:  beauty ;-)


----- Original Message -----
From: "R.E. Boss" <[email protected]>
Date: Tuesday, October 5, 2010 5:13
Subject: Re: [Jprogramming] Distinct Numbers in Rows and Columns
To: 'Programming forum' <[email protected]>

> Relative performance:
> 
>    ('Hui';'Rich';'Murray';'Boss') rank 'q #~ (8$15) -
> :"1 (+/"1 ,. +/"2)
> q{0,2^i.4';'-.@(0&e.)@:(C.!.2)@(,|:)@:<:"2 q';'([: *./ [: (# 
> = #@:~.)"1 (,
> |:))"2 q';'q#~([:*./^:3[:~:"1(,:|:))"2 q'
> 
> +----------+----+-----+-----+------+
> |expression|rank|tm*sz|time |size  |
> +----------+----+-----+-----+------+
> |Hui       | 3  |17.44| 
> 1.00|135.87|+----------+----+-----+-----+------+
> |Rich      | 0  | 1.00| 
> 7.60|  1.02|
> +----------+----+-----+-----+------+
> |Murray    | 2  | 3.45|26.85|  1.00|
> +----------+----+-----+-----+------+
> |Boss      | 1  | 
> 1.44|10.55|  1.07|
> +----------+----+-----+-----+------+
> 
> 
> R.E. Boss
> 
> 
> > -----Oorspronkelijk bericht-----
> > Van: [email protected] [mailto:programming-
> > [email protected]] Namens R.E. Boss
> > Verzonden: dinsdag 5 oktober 2010 11:44
> > Aan: 'Programming forum'
> > Onderwerp: Re: [Jprogramming] Distinct Numbers in Rows and Columns
> > 
> > 
> >    q #~ ([:*./^:3 [:~:"1 (,: |:))"2 q
> > 1 2 4 3
> > 4 3 2 1
> > 2 1 3 4
> > 3 4 1 2
> > 
> >    ts'q#~([:*./^:3[:~:"1(,:|:))"2 q'
> > 0.030079443 12352
> >    ts'q #~ (8$15) -:"1 (+/"1 ,. +/"2) q{0,2^i.4'
> > 0.0026829032 2100864
> > 
> > Slower but leaner:
> > 
> >    rank 'q #~ (8$15) -:"1 (+/"1 ,. +/"2) q{0,2^i.4';
> > 'q#~([:*./^:3[:~:"1(,:|:))"2 q'
> > +----+-----+-----+------+
> > |rank|tm*sz|time |size  |
> > +----+-----+-----+------+
> > | 1  |15.85| 1.00|170.08|
> > +----+-----+-----+------+
> > | 0  | 1.00|10.73|  1.00|
> > +----+-----+-----+------+
> > 
> > 
> > R.E. Boss
> > 
> > 
> > > -----Oorspronkelijk bericht-----
> > > Van: [email protected] [mailto:programming-
> > > [email protected]] Namens Roger Hui
> > > Verzonden: dinsdag 5 oktober 2010 1:37
> > > Aan: Programming forum
> > > Onderwerp: Re: [Jprogramming] Distinct Numbers in Rows and Columns
> > >
> > > Great minds think alike, eh?  (But I think you
> > > need to test your expressions ;-)  Go to
> > > http://www.jsoftware.com/jwiki/Essays/KenKen
> > > and look about a third of the way down,
> > >
> > > q #~ (8$15) -:"1 (+/"1 ,. +/"2) q{0,2^i.4
> > >
> > > The initial effort in your previous msg is also
> > > similar to my initial effort.
> > >
> > >
> > >
> > > ----- Original Message -----
> > > From: Marshall Lochbaum <[email protected]>
> > > Date: Monday, October 4, 2010 16:28
> > > Subject: Re: [Jprogramming] Distinct Numbers in Rows and Columns
> > > To: 'Programming forum' <[email protected]>
> > >
> > > > Here's a funny--and much faster--one:
> > > > p=.p:i.n
> > > > *./"1 (*/p) = (*/"2 ,. */"1) q{p
> > > >
> > > > Actually, I suppose it is better to do it with addition, so
> > > > p=.2^i.n
> > > > *./"1 (+/p) = (+/"2 ,. +/"1) q{p
> > > >
> > > > Marshall
> > > >
> > > > -----Original Message-----
> > > > From: [email protected]
> > > > [mailto:[email protected]] On Behalf Of 
> Roger Hui
> > > > Sent: Monday, October 04, 2010 6:41 PM
> > > > To: Programming forum
> > > > Subject: [Jprogramming] Distinct Numbers in Rows and Columns
> > > >
> > > > An interesting puzzle arising from the KenKen solver:
> > > > q is an array with shape (m,n,n) and  (,q) e. 1+i.n .
> > > > Which items of q have 1+i.n in each row and in each column?
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