56 lines
		
	
	
		
			1.3 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			56 lines
		
	
	
		
			1.3 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | |||
|  | id: 5900f3fa1000cf542c50ff0c | |||
|  | challengeType: 5 | |||
|  | title: 'Problem 140: Modified Fibonacci golden nuggets' | |||
|  | videoUrl: '' | |||
|  | localeTitle: 问题140:改进的斐波那契金块 | |||
|  | --- | |||
|  | 
 | |||
|  | ## Description
 | |||
|  | <section id="description">考虑无穷多项式系列AG(x)= xG1 + x2G2 + x3G3 + ...,其中Gk是二阶递归关系的第k项,Gk = Gk-1 + Gk-2,G1 = 1,G2 = 4;也就是说,1,4,5,9,14,23 ......对于这个问题,我们将关注x的值,其中AG(x)是正整数。前五个自然数的x的相应值如下所示。 <p> xAG(x)(√5-1)/ 41 2/52(√22-2)/ 63(√137-5)/ 144 1/25 </p><p>如果x是理性的,我们将称AG(x)为金块,因为它们变得越来越稀少;例如,第20个金块是211345365.找到前30个金块的总和。 </p></section> | |||
|  | 
 | |||
|  | ## Instructions
 | |||
|  | <section id="instructions"> | |||
|  | </section> | |||
|  | 
 | |||
|  | ## Tests
 | |||
|  | <section id='tests'> | |||
|  | 
 | |||
|  | ```yml | |||
|  | tests: | |||
|  |   - text: <code>euler140()</code>应该返回5673835352990。 | |||
|  |     testString: 'assert.strictEqual(euler140(), 5673835352990, "<code>euler140()</code> should return 5673835352990.");' | |||
|  | 
 | |||
|  | ``` | |||
|  | 
 | |||
|  | </section> | |||
|  | 
 | |||
|  | ## Challenge Seed
 | |||
|  | <section id='challengeSeed'> | |||
|  | 
 | |||
|  | <div id='js-seed'> | |||
|  | 
 | |||
|  | ```js | |||
|  | function euler140() { | |||
|  |   // Good luck! | |||
|  |   return true; | |||
|  | } | |||
|  | 
 | |||
|  | euler140(); | |||
|  | 
 | |||
|  | ``` | |||
|  | 
 | |||
|  | </div> | |||
|  | 
 | |||
|  | 
 | |||
|  | 
 | |||
|  | </section> | |||
|  | 
 | |||
|  | ## Solution
 | |||
|  | <section id='solution'> | |||
|  | 
 | |||
|  | ```js | |||
|  | // solution required | |||
|  | ``` | |||
|  | </section> |