---
id: 5900f4e81000cf542c50fffb
challengeType: 5
title: 'Problem 380: Amazing Mazes!'
forumTopicId: 302044
---

## Description
<section id='description'>
An m×n maze is an m×n rectangular grid with walls placed between grid cells such that there is exactly one path from the top-left square to any other square. The following are examples of a 9×12 maze and a 15×20 maze:




Let C(m,n) be the number of distinct m×n mazes. Mazes which can be formed by rotation and reflection from another maze are considered distinct.


It can be verified that C(1,1) = 1, C(2,2) = 4, C(3,4) = 2415, and C(9,12) = 2.5720e46 (in scientific notation rounded to 5 significant digits).
Find C(100,500) and write your answer in scientific notation rounded to 5 significant digits.


When giving your answer, use a lowercase e to separate mantissa and exponent.
E.g. if the answer is 1234567891011 then the answer format would be 1.2346e12.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler380()</code> should return Infinity.
    testString: assert.strictEqual(euler380(), Infinity);

```

</section>

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

<div id='js-seed'>

```js
function euler380() {

  return true;
}

euler380();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>