------art_51472_30684299.1157378088638
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hi list,
my solution isn't short, and it isn't fast, only does base 10 (i didn't feel
up to it), and probably isn't very efficient.
but it _is_ a solution :-)
here is it:

------------------------------------
happynumbers.rb
 ------------------------------------
class Integer
  def happy?(show_sumù±se)
    string¥ç¡¬
    ¥ó
    
    

     
            ¡¼¥ç¥£¥ç¥å¥¢¥¥  
        ¥í¥ã¥¢¥ó¥ç¡¬
        ¥·¥·¡Ö¡×¡«¥¤¡Ö  ¡¬
        ¥©¥ß ¥§ 
      
       ¡¬
        ¥·¥·¥ç¥£¡Ö ¥© ¡Ö¥¥
        ¥·¥·¡Ö  ¥ï¡Ö
      

       
        ¥·¥·¡Ö¥ï¡×     ¥³¥¥¡Ö
         
      
       ¥ç¥½¥£¥¥
        ¥·¥·¡Ö¥ï¡×     ¥³¥£¡Ö
         
      

      ¡¬
      ¥·¥·
      
    
  



 ¥Á¥á¥Ì¥è¥í¡¼¥ó
¥á¥Ì¥è¥í¡¼¥ó¥ç¡¬¥ç¡¬
   ¥Á¥á¥Ì¥è¥í¡¼¥ó¥ç¡¬¥ç¥½¥£¥¥

 ¥Á¥á¥Ì¥è¥í¡¼¥ó¡«¥ï¥£¥£¥ï¥©¥¥¥ï¥¥¡¢¥Ã
    ¥ç¡¬
  ¥¢¥ç¥£¥¥  
    ¥½¥£¥¥
     
    ¥© ¥Ã
  
   ¡Ö¥ï¥ï¡×    ¡×¡Ö


   ¡Ö¥³¡Ö
   ¡Ö  ¥ç ¡Ö
   ¡Ö  ¥ç ¥£¥¥¡Ö

¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å¥å
¥ã ¥È¥ç

¥å¥å¥å¥å¥å¥å¡¬¥ª¥¢¥¨¥­¥¤¡¬¥¦¡¼¥«¥¯¥¨¥¤¥±¥±¥ç¥¢¥¢¥ª¥­¥¦¥­¥¯¡¼¥¯¥¯¥«¥¦¥¯¥å¥å