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>
 |