---
id: 5900f3dd1000cf542c50fef0
challengeType: 5
title: 'Problem 113: Non-bouncy numbers'
---

## Description
<section id='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?
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

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

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

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

euler113();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```
</section>