70 lines
1.2 KiB
Markdown
70 lines
1.2 KiB
Markdown
---
|
|
id: 5900f40d1000cf542c50ff20
|
|
challengeType: 5
|
|
title: 'Problem 161: Triominoes'
|
|
---
|
|
|
|
## Description
|
|
<section id='description'>
|
|
A triomino is a shape consisting of three squares joined via the edges.
|
|
There are two basic forms:
|
|
|
|
|
|
|
|
If all possible orientations are taken into account there are six:
|
|
|
|
|
|
|
|
Any n by m grid for which nxm is divisible by 3 can be tiled with triominoes.
|
|
If we consider tilings that can be obtained by reflection or rotation from another tiling as different there are 41 ways a 2 by 9 grid can be tiled with triominoes:
|
|
|
|
|
|
|
|
In how many ways can a 9 by 12 grid be tiled in this way by triominoes?
|
|
</section>
|
|
|
|
## Instructions
|
|
<section id='instructions'>
|
|
|
|
</section>
|
|
|
|
## Tests
|
|
<section id='tests'>
|
|
|
|
```yml
|
|
tests:
|
|
- text: <code>euler161()</code> should return 20574308184277972.
|
|
testString: assert.strictEqual(euler161(), 20574308184277972, '<code>euler161()</code> should return 20574308184277972.');
|
|
|
|
```
|
|
|
|
</section>
|
|
|
|
## Challenge Seed
|
|
<section id='challengeSeed'>
|
|
|
|
<div id='js-seed'>
|
|
|
|
```js
|
|
function euler161() {
|
|
// Good luck!
|
|
return true;
|
|
}
|
|
|
|
euler161();
|
|
```
|
|
|
|
</div>
|
|
|
|
|
|
|
|
</section>
|
|
|
|
## Solution
|
|
<section id='solution'>
|
|
|
|
```js
|
|
// solution required
|
|
```
|
|
</section>
|