A super-d number is a positive, decimal (base ten) integer   n   such that   d × nd   has at least   d   consecutive digits   d   where

   2 ≤ d ≤ 9

For instance, 753 is a super-3 number because 3 × 7533 = 1280873331.


Super-d   numbers are also shown on   MathWorld™   as   super-d    or   super-d.



Task

 Write a function/procedure/routine to find super-d numbers.
 For   d=2   through   d=6,   use the routine to show the first   10   super-d numbers.


Extra credit

 Show the first   10   super-7, super-8, and/or super-9 numbers   (optional).


See also

   Wolfram MathWorld - Super-d Number.
   OEIS: A014569 - Super-3 Numbers.


V rd = [‘22’, ‘333’, ‘4444’, ‘55555’, ‘666666’, ‘7777777’, ‘88888888’, ‘999999999’]
 
L(ii) 2..7
   print(‘First 10 super-#. numbers:’.format(ii))
   V count = 0
 
   BigInt j = 3
   L
      V k = ii * j^ii
      I rd[ii - 2] C String(k)
         count++
         print(j, end' ‘ ’)
         I count == 10
            print("\n")
            L.break
      j++