Added solution for Project Euler problem 113#3109
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Added solution for Project Euler problem 113#3109dhruvmanila merged 2 commits intoTheAlgorithms:masterfrom fpringle:problem_113
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* Added solution for Project Euler problem 113. TheAlgorithms#2695 * Updated formatting and doctests. Reference: TheAlgorithms#3256
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* Added solution for Project Euler problem 113. TheAlgorithms#2695 * Updated formatting and doctests. Reference: TheAlgorithms#3256
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Name : Non-bouncy numbers
Working from left-to-right if no digit is exceeded by the digit to its left it is called an increasing number; for example, 134468.
Similarly if no digit is exceeded by the digit to its right it is called a decreasing number; for example, 66420.
We shall call a positive integer that is neither increasing nor decreasing a "bouncy" number; for example, 155349.
As n increases, the proportion of bouncy numbers below n increases such that there are only 12951 numbers below one-million that are not bouncy and only 277032 non-bouncy numbers below 10^10.
How many numbers below a googol (10^100) are not bouncy?
Reference: https://projecteuler.net/problem=113
Reference: #2695
Checklist:
Fixes: #{$ISSUE_NO}.