Re: The "Strand" puzzle --- ( Continued Fractions using Lisp orPython? )

On 8/1/2024 2:33 AM, B. Pym wrote:

HenHanna wrote:
 

e.g. -------- For the (street)  Numbers (1,2,3,4,5,6,7,8)
>
        (1,2,3,4,5)  and  (7,8)  both add up to 15.
>
>
>
"In a given street of houses with consecutive numbers between
50 and 500, find the house number, for which, the sum of
numbers on the left is equal to the sum of numbers on the
right"

 Gauche Scheme
 (define (strand lst)
   (let go ((left-sum 0) (tail lst))
     (if (null? tail)
       #f
       (let ((right-sum (fold + 0 (cdr tail))))
         (cond ((< left-sum right-sum)
                (go (+ left-sum (car tail)) (cdr tail)))
               ((= left-sum right-sum) (car tail))
               (#t #f))))))
 (strand '(1 2 3 4 5 6 7 8))
   ===>
6
 (lrange 2 5)
   ===>
(2 3 4)
 (any
   (lambda (n)
     (if (strand (lrange 50 n))
       n
       #f))
   (lrange 500 50 -1))
   ===>
352
 (strand (lrange 50 352))
   ===>
251

               does your Newsreader  set  Followup-to   automatically?
                        pls  disable it.
i still don't see how the prob is related to the Continued  Fraction.
if this Continued  Fraction  is written as  [2,1]  with a bar over 1 (?)
                                 What does   [3,1]  correspond to?