Inspired by Project Euler n°112.
- 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.
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...
Solution Stats
Problem Comments
2 Comments
Solution Comments
Show comments
Loading...
Problem Recent Solvers44
Suggested Problems
-
Make the vector [1 2 3 4 5 6 7 8 9 10]
52686 Solvers
-
Return the 3n+1 sequence for n
8486 Solvers
-
Project Euler: Problem 6, Natural numbers, squares and sums.
2535 Solvers
-
307 Solvers
-
Self-similarity 3 - Every other pair of terms
54 Solvers
More from this Author43
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
I think the problem statement should read "the proportion of bouncy numbers is at least p%", rather than "exactly p%."
Currently, num2str is able to handle all test cases.