56 lines
		
	
	
		
			1.2 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			56 lines
		
	
	
		
			1.2 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
 | ||
| id: 5900f4791000cf542c50ff8c
 | ||
| challengeType: 5
 | ||
| title: 'Problem 269: Polynomials with at least one integer root'
 | ||
| videoUrl: ''
 | ||
| localeTitle: 问题269:具有至少一个整数根的多项式
 | ||
| ---
 | ||
| 
 | ||
| ## Description
 | ||
| <section id="description">多项式P(x)的根或零是等式P(x)= 0的解。将Pn定义为其系数是n的数字的多项式。例如,P5703(x)= 5x3 + 7x2 + 3。 <p>我们可以看到:Pn(0)是n的最后一位,Pn(1)是n的位数之和,Pn(10)是n本身。定义Z(k)作为正整数的数量,n ,不超过多项式Pn具有至少一个整数根的k。 </p><p>可以证实Z(100 000)是14696。 </p><p>什么是Z(1016)? </p></section>
 | ||
| 
 | ||
| ## Instructions
 | ||
| <section id="instructions">
 | ||
| </section>
 | ||
| 
 | ||
| ## Tests
 | ||
| <section id='tests'>
 | ||
| 
 | ||
| ```yml
 | ||
| tests:
 | ||
|   - text: <code>euler269()</code>应该返回1311109198529286。
 | ||
|     testString: 'assert.strictEqual(euler269(), 1311109198529286, "<code>euler269()</code> should return 1311109198529286.");'
 | ||
| 
 | ||
| ```
 | ||
| 
 | ||
| </section>
 | ||
| 
 | ||
| ## Challenge Seed
 | ||
| <section id='challengeSeed'>
 | ||
| 
 | ||
| <div id='js-seed'>
 | ||
| 
 | ||
| ```js
 | ||
| function euler269() {
 | ||
|   // Good luck!
 | ||
|   return true;
 | ||
| }
 | ||
| 
 | ||
| euler269();
 | ||
| 
 | ||
| ```
 | ||
| 
 | ||
| </div>
 | ||
| 
 | ||
| 
 | ||
| 
 | ||
| </section>
 | ||
| 
 | ||
| ## Solution
 | ||
| <section id='solution'>
 | ||
| 
 | ||
| ```js
 | ||
| // solution required
 | ||
| ```
 | ||
| </section>
 |