The approach to use here is to start with 00000000 and then "fix" it 
iteratively.

00000000 becomes 10000008 since there were 8 0s and only 1 digit in use

but now there are 6 0s and a 1 and an 8 and 3 digits in use, so update 
it to be 30000016

of course now there are only 5 0s and a 1 and a 3 and a 6, which means
that there are 4 digits in use, so update it to be 41001015

just keep iterating until you hit a steady state...