How to resolve the algorithm Happy numbers step by step in the Miranda programming language

Published on 12 May 2024 09:40 PM
#Miranda

How to resolve the algorithm Happy numbers step by step in the Miranda programming language

Table of Contents

Problem Statement

From Wikipedia, the free encyclopedia:

Find and print the first   8   happy numbers. Display an example of your output here on this page.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Happy numbers step by step in the Miranda programming language

Source code in the miranda programming language

main :: [sys_message]
main = [Stdout (lay (map show (take 8 happynumbers)))]

happynumbers :: [num]
happynumbers = filter ishappy [1..]

ishappy :: num->bool
ishappy n = 1 $in loop (iterate sumdigitsquares n)

sumdigitsquares :: num->num
sumdigitsquares 0 = 0
sumdigitsquares n = (n mod 10)^2 + sumdigitsquares (n div 10)

loop :: [*]->[*]
loop = loop' []
       where loop' mem (a:as) = mem,              if a $in mem
                              = loop' (a:mem) as, otherwise

in :: *->[*]->bool
in val []     = False
in val (a:as) = True,       if a=val
              = val $in as, otherwise

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