Modified P.E question:
Working from left-to-right if no digit is exceeded and not equal by the digit to its left it is called an increasing number; for example, 134568.
Similarly if no digit is exceeded and not equal by the digit to its right it is called a decreasing number; for example, 65420.
We shall call a positive integer that is neither increasing nor decreasing a "bouncy" number; for example, 155349.
What is the total number of non bouncy numbers?
Here is a similar question with more details : https://projecteuler.net/problem=112

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