56 lines
		
	
	
		
			1.1 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			56 lines
		
	
	
		
			1.1 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
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| id: 5900f47e1000cf542c50ff90
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| challengeType: 5
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| title: 'Problem 273: Sum of Squares'
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| videoUrl: ''
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| localeTitle: 问题273:正方形的总和
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| ---
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| 
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| ## Description
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| <section id="description">考虑以下形式的方程:a2 + b2 = N,0≤a≤b,a,b和N整数。 <p>对于N = 65,有两种解决方案:a = 1,b = 8,a = 4,b = 7。我们将S(N)称为a2 + b2 = N,0≤a≤b,a,b和N整数的所有解的a的值之和。因此,S(65)= 1 + 4 = 5.找到ΣS(N),对于所有无平均N,只能被4k + 1形式的素数整除,其中4k + 1 <150。 </p></section>
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| 
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| ## Instructions
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| <section id="instructions">
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| </section>
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| 
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| ## Tests
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| <section id='tests'>
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| 
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| ```yml
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| tests:
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|   - text: <code>euler273()</code>应该返回2032447591196869000。
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|     testString: 'assert.strictEqual(euler273(), 2032447591196869000, "<code>euler273()</code> should return 2032447591196869000.");'
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| 
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| ```
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| 
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| </section>
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| 
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| ## Challenge Seed
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| <section id='challengeSeed'>
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| 
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| <div id='js-seed'>
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| 
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| ```js
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| function euler273() {
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|   // Good luck!
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|   return true;
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| }
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| 
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| euler273();
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| 
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| ```
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| 
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| </div>
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| 
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| 
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| 
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| </section>
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| 
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| ## Solution
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| <section id='solution'>
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| 
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| ```js
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| // solution required
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| ```
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| </section>
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