59 lines
		
	
	
		
			1.1 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			59 lines
		
	
	
		
			1.1 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
 | ||
| id: 5900f4b11000cf542c50ffc3
 | ||
| challengeType: 5
 | ||
| title: 'Problem 324: Building a tower'
 | ||
| ---
 | ||
| 
 | ||
| ## 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, "<code>euler324()</code> should return 96972774.");'
 | ||
| 
 | ||
| ```
 | ||
| 
 | ||
| </section>
 | ||
| 
 | ||
| ## Challenge Seed
 | ||
| <section id='challengeSeed'>
 | ||
| 
 | ||
| <div id='js-seed'>
 | ||
| 
 | ||
| ```js
 | ||
| function euler324() {
 | ||
|   // Good luck!
 | ||
|   return true;
 | ||
| }
 | ||
| 
 | ||
| euler324();
 | ||
| ```
 | ||
| 
 | ||
| </div>
 | ||
| 
 | ||
| 
 | ||
| 
 | ||
| </section>
 | ||
| 
 | ||
| ## Solution
 | ||
| <section id='solution'>
 | ||
| 
 | ||
| ```js
 | ||
| // solution required
 | ||
| ```
 | ||
| </section>
 |