61 lines
		
	
	
		
			1.0 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			61 lines
		
	
	
		
			1.0 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
---
 | 
						||
id: 5900f4b11000cf542c50ffc3
 | 
						||
challengeType: 5
 | 
						||
title: 'Problem 324: Building a tower'
 | 
						||
forumTopicId: 301981
 | 
						||
---
 | 
						||
 | 
						||
## Description
 | 
						||
<section id='description'>
 | 
						||
Let f(n) represent the number of ways one can fill a 3×3×n tower with blocks of 2×1×1. You're allowed to rotate the blocks in any way you like; however, rotations, reflections etc of the tower itself are counted as distinct.
 | 
						||
For example (with q = 100000007) :f(2) = 229,f(4) = 117805,f(10) mod q = 96149360,f(103) mod q = 24806056,f(106) mod q = 30808124.
 | 
						||
 | 
						||
Find f(1010000) mod 100000007.
 | 
						||
</section>
 | 
						||
 | 
						||
## Instructions
 | 
						||
<section id='instructions'>
 | 
						||
 | 
						||
</section>
 | 
						||
 | 
						||
## Tests
 | 
						||
<section id='tests'>
 | 
						||
 | 
						||
```yml
 | 
						||
tests:
 | 
						||
  - text: <code>euler324()</code> should return 96972774.
 | 
						||
    testString: assert.strictEqual(euler324(), 96972774);
 | 
						||
 | 
						||
```
 | 
						||
 | 
						||
</section>
 | 
						||
 | 
						||
## Challenge Seed
 | 
						||
<section id='challengeSeed'>
 | 
						||
 | 
						||
<div id='js-seed'>
 | 
						||
 | 
						||
```js
 | 
						||
function euler324() {
 | 
						||
 | 
						||
  return true;
 | 
						||
}
 | 
						||
 | 
						||
euler324();
 | 
						||
```
 | 
						||
 | 
						||
</div>
 | 
						||
 | 
						||
 | 
						||
 | 
						||
</section>
 | 
						||
 | 
						||
## Solution
 | 
						||
<section id='solution'>
 | 
						||
 | 
						||
```js
 | 
						||
// solution required
 | 
						||
```
 | 
						||
 | 
						||
</section>
 |