56 lines
		
	
	
		
			1.1 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			56 lines
		
	
	
		
			1.1 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
 | |
| id: 5900f5201000cf542c510032
 | |
| challengeType: 5
 | |
| title: 'Problem 435: Polynomials of Fibonacci numbers'
 | |
| videoUrl: ''
 | |
| localeTitle: 'Problema 435: Polinomios de los números de Fibonacci'
 | |
| ---
 | |
| 
 | |
| ## Description
 | |
| <section id="description"> Los números de Fibonacci {fn, n ≥ 0} se definen recursivamente como fn = fn-1 + fn-2 con los casos base f0 = 0 y f1 = 1. Defina los polinomios {Fn, n ≥ 0} como Fn (x) = ∑fixi para 0 ≤ i ≤ n. Por ejemplo, F7 (x) = x + x2 + 2x3 + 3x4 + 5x5 + 8x6 + 13x7, y F7 (11) = 268357683. Sea n = 1015. Encuentre la suma [∑0≤x≤100 Fn (x)] mod 1307674368000 (= 15!). </section>
 | |
| 
 | |
| ## Instructions
 | |
| <section id="instructions">
 | |
| </section>
 | |
| 
 | |
| ## Tests
 | |
| <section id='tests'>
 | |
| 
 | |
| ```yml
 | |
| tests:
 | |
|   - text: <code>euler435()</code> debe devolver 252541322550.
 | |
|     testString: 'assert.strictEqual(euler435(), 252541322550, "<code>euler435()</code> should return 252541322550.");'
 | |
| 
 | |
| ```
 | |
| 
 | |
| </section>
 | |
| 
 | |
| ## Challenge Seed
 | |
| <section id='challengeSeed'>
 | |
| 
 | |
| <div id='js-seed'>
 | |
| 
 | |
| ```js
 | |
| function euler435() {
 | |
|   // Good luck!
 | |
|   return true;
 | |
| }
 | |
| 
 | |
| euler435();
 | |
| 
 | |
| ```
 | |
| 
 | |
| </div>
 | |
| 
 | |
| 
 | |
| 
 | |
| </section>
 | |
| 
 | |
| ## Solution
 | |
| <section id='solution'>
 | |
| 
 | |
| ```js
 | |
| // solution required
 | |
| ```
 | |
| </section>
 |