Inspired by Project Euler n°112.
We shall call a positive integer that is neither increasing nor decreasing a bouncy number. For example, 155349.
Clearly there cannot be any bouncy numbers below one-hundred, but surprisingly, these numbers become more and more common after.
Find the least number for which the proportion of bouncy numbers is exactly p%.
As always this type of problem is difficult to solve with usual Matlab functions (num2str).
So keep an eye on time...