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											2018-10-10 18:03:03 -04:00
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							|  |  |  |  | id: 5900f4b71000cf542c50ffc9 | 
					
						
							|  |  |  |  | challengeType: 5 | 
					
						
							|  |  |  |  | title: 'Problem 330: Euler"s Number' | 
					
						
							|  |  |  |  | videoUrl: '' | 
					
						
							|  |  |  |  | localeTitle: 问题330:欧拉数 | 
					
						
							|  |  |  |  | --- | 
					
						
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							|  |  |  |  | ## Description
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							|  |  |  |  | <section id="description">为所有整数n定义了无限的实数序列a(n),如下所示: <p>例如,a(0)= 11! + 12! + 13! + ... = e  -  1 a(1)= e  -  11! + 12! + 13! + ... = 2e  -  3 a(2)= 2e  -  31! + e  -  12! + 13! + ... = 72 e  -  6 </p><p> e = 2.7182818 ......是欧拉常数。 </p><p>可以证明a(n)是形式</p><pre> <code>A(n) e + B(n)n! for integers A(n) and B(n).</code> </pre><p>例如a(10)= </p><pre> <code>328161643 e − 65269448610! .</code> </pre><p>求A(109)+ B(109)并给出答案mod 77 777 777。 </p></section> | 
					
						
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							|  |  |  |  | ## Instructions
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							|  |  |  |  | <section id="instructions"> | 
					
						
							|  |  |  |  | </section> | 
					
						
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							|  |  |  |  | ## Tests
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							|  |  |  |  | <section id='tests'> | 
					
						
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							|  |  |  |  | ```yml | 
					
						
							|  |  |  |  | tests: | 
					
						
							|  |  |  |  |   - text: <code>euler330()</code>应该返回15955822。 | 
					
						
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										 |  |  |  |     testString: assert.strictEqual(euler330(), 15955822); | 
					
						
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							|  |  |  |  | ``` | 
					
						
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							|  |  |  |  | </section> | 
					
						
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							|  |  |  |  | ## Challenge Seed
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							|  |  |  |  | <section id='challengeSeed'> | 
					
						
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							|  |  |  |  | <div id='js-seed'> | 
					
						
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							|  |  |  |  | ```js | 
					
						
							|  |  |  |  | function euler330() { | 
					
						
							|  |  |  |  |   // Good luck! | 
					
						
							|  |  |  |  |   return true; | 
					
						
							|  |  |  |  | } | 
					
						
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							|  |  |  |  | euler330(); | 
					
						
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							|  |  |  |  | ``` | 
					
						
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							|  |  |  |  | </div> | 
					
						
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							|  |  |  |  | </section> | 
					
						
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							|  |  |  |  | ## Solution
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							|  |  |  |  | <section id='solution'> | 
					
						
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							|  |  |  |  | ```js | 
					
						
							|  |  |  |  | // solution required | 
					
						
							|  |  |  |  | ``` | 
					
						
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							|  |  |  |  | /section> |