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: Polinômios de números de Fibonacci'
							 | 
						||
| 
								 | 
							
								---
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								## Description
							 | 
						||
| 
								 | 
							
								<section id="description"> Os números de Fibonacci {fn, n ≥ 0} são definidos recursivamente como fn = fn-1 + fn-2 com casos de base f0 = 0 e f1 = 1. Defina os polinômios {Fn, n ≥ 0} como Fn (x) = ∑fixi para 0 ≤ i ≤ n. Por exemplo, F7 (x) = x + x2 + 2x3 + 3x4 + 5x5 + 8x6 + 13x7 e F7 (11) = 268357683. Seja n = 1015. Encontre a soma [∑0≤x≤100 Fn (x)] mod 1307674368000 (= 15!). </section>
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								## Instructions
							 | 
						||
| 
								 | 
							
								<section id="instructions">
							 | 
						||
| 
								 | 
							
								</section>
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								## Tests
							 | 
						||
| 
								 | 
							
								<section id='tests'>
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								```yml
							 | 
						||
| 
								 | 
							
								tests:
							 | 
						||
| 
								 | 
							
								  - text: <code>euler435()</code> deve retornar 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>
							 |