freeCodeCamp/problem-113-non-bouncy-numbers.english.md at f1c9b08cf322e4268a0a31ae9b5d75bf3cfce7d1

Files

Oliver Eyton-Williams f1c9b08cf3 fix(curriculum): add isHidden: false to challenges

This includes certificates (where it does nothing), but does not
include any translations.

2020-05-25 16:25:19 +05:30

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id, challengeType, isHidden, title, forumTopicId

id	challengeType	isHidden	title	forumTopicId
5900f3dd1000cf542c50fef0	5	false	Problem 113: Non-bouncy numbers	301739

Description

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 1010. How many numbers below a googol (10100) are not bouncy?

Instructions

Tests

tests:
  - text: <code>euler113()</code> should return 51161058134250.
    testString: assert.strictEqual(euler113(), 51161058134250);

Challenge Seed

function euler113() {
  // Good luck!
  return true;
}

euler113();

Solution

// solution required

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