I sat down to try and write a program to solve this and ended up with this: 

Starting with 

? "0" ? "1" ? "2" ? "3" ? "4" ? "5" ? "6" ? "7" ? "8" ? "9"

All the counts must be at least 1

1 "0" 1 "1" 1 "2" 1 "3" 1 "4" 1 "5" 1 "6" 1 "7" 1 "8" 1 "9"

which makes the 1-count 11

1 "0" 11 "1" 1 "2" 1 "3" 1 "4" 1 "5" 1 "6" 1 "7" 1 "8" 1 "9"

but that means an extra 1 so 1-count becomes 12,
which makes the 2-count becomes 2
(which would then become 3 except that we have lost a 1)
and the 1-count drops back to 11

1 "0" 11 "1" 2 "2" 1 "3" 1 "4" 1 "5" 1 "6" 1 "7" 1 "8" 1 "9"

[download]

And I have a solution. Is it the only one?

Examine what is said, not who speaks.
"Efficiency is intelligent laziness." -David Dunham
"Think for yourself!" - Abigail
Timing (and a little luck) are everything!

In reply to Re: Improving Evolutionary Algorithm (no code?(spoiler)) by BrowserUk
in thread Improving Evolutionary Algorithm by jweed

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