foo=: 4 : 0
 'd c'=. x
 z=. (c#i.#c) </. y
 while. *#i=. I.0<d=. <:d do.
  z=. (<"0 i{z) i}z
 end.
)

Improvements to the above are left as an exercise 
for the reader :-)



----- Original Message -----
From: "R.E. Boss" <[email protected]>
Date: Wednesday, June 3, 2009 11:52
Subject: [Jprogramming] leveled as indicated
To: 'Programming forum' <[email protected]>

> Looking for a dyadic foo 
> 
>  
> 
> with
> 
>    4 = (3!:0) 
> x         NB. x is integer
> 
>    (# x) = 2 = #$ x     NB. x has 
> 2 items and has rank 2 
> 
>    (# y) = +/{: x 
> 
>    0 < <./{. 
> x          NB. {.x 
> is positive
> 
>  
> 
> such that 
> 
>  
> 
>    ({.x) -: L."0 x foo y     NB. 
> {.x is level of leaves
> 
>  
> 
>    ({:x) -: # S:0 x foo y    NB. {:x is 
> tally of leaves
> 
>  
> 
>  
> 
> Example:
> 
>  
> 
>    (1 2 3 2 3 1,:2 1 3 2 1 3) foo i.12
> 
> +---+---+---------+-----+-----+-------+
> 
> |0 1|+-+|+-------+|+---+|+---+|9 10 11|
> 
> |   ||2|||+-----+|||6 7|||+-
> +||       |
> 
> |   |+-+|||3 4 5|||+---
> +|||8|||       |
> 
> |   |   ||+-----+||     
> ||+-+||       |
> 
> |   |   |+-------+|     
> |+---+|       |
> 
> +---+---+---------+-----+-----+-------+
> 
>  
> 
>  
> 
> R.E. Boss
> 
> -----------------------------------------------------------------
> -----
> For information about J forums see http://www.jsoftware.com/forums.htm
> 
----------------------------------------------------------------------
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