From Wikipedia, the free encyclopedia:

 A happy number is defined by the following process:
 Starting with any positive integer, replace the number by the sum of the squares of its digits, and repeat the process until the number equals   1   (where it will stay),   or it loops endlessly in a cycle which does not include   1.   


 Those numbers for which this process end in   1   are       happy   numbers,   
 while   those numbers   that   do   not   end in   1   are   unhappy   numbers. 


Task

Find and print the first   8   happy numbers.

Display an example of your output here on this page.



See also

   The OEIS entry:   The     happy numbers:   A007770
   The OEIS entry:   The unhappy numbers;   A031177


import intsets
 
proc happy(n: int): bool =
  var
    n = n
    past = initIntSet()
  while n != 1:
    let s = $n
    n = 0
    for c in s:
      let i = ord(c) - ord('0')
      n += i * i
    if n in past:
      return false
    past.incl(n)
  return true
 
for x in 0..31:
  if happy(x):
    echo x