| 
									
										
										
										
											2018-10-10 18:03:03 -04:00
										 |  |  |  | --- | 
					
						
							|  |  |  |  | id: 5900f43e1000cf542c50ff50 | 
					
						
							|  |  |  |  | challengeType: 5 | 
					
						
							|  |  |  |  | title: 'Problem 210: Obtuse Angled Triangles' | 
					
						
							|  |  |  |  | videoUrl: '' | 
					
						
							|  |  |  |  | localeTitle: 问题210:钝角三角形 | 
					
						
							|  |  |  |  | --- | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | ## Description
 | 
					
						
							|  |  |  |  | <section id="description">考虑点(x,y)的集合S(r),其中整数坐标满足| x | + | y | ≤r。设O为点(0,0),C为点(r / 4,r / 4)。令N(r)为S(r)中的点B的数量,使得三角形OBC具有钝角,即最大角度α满足90°<α<180°。因此,例如,N(4)= 24并且N(8)= 100。 <p>什么是N(1,000,000,000)? </p></section> | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | ## Instructions
 | 
					
						
							|  |  |  |  | <section id="instructions"> | 
					
						
							|  |  |  |  | </section> | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | ## Tests
 | 
					
						
							|  |  |  |  | <section id='tests'> | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | ```yml | 
					
						
							|  |  |  |  | tests: | 
					
						
							|  |  |  |  |   - text: <code>euler210()</code>应该返回1598174770174689500。 | 
					
						
							| 
									
										
										
										
											2020-02-18 01:40:55 +09:00
										 |  |  |  |     testString: assert.strictEqual(euler210(), 1598174770174689500); | 
					
						
							| 
									
										
										
										
											2018-10-10 18:03:03 -04:00
										 |  |  |  | 
 | 
					
						
							|  |  |  |  | ``` | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | </section> | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | ## Challenge Seed
 | 
					
						
							|  |  |  |  | <section id='challengeSeed'> | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | <div id='js-seed'> | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | ```js | 
					
						
							|  |  |  |  | function euler210() { | 
					
						
							|  |  |  |  |   // Good luck! | 
					
						
							|  |  |  |  |   return true; | 
					
						
							|  |  |  |  | } | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | euler210(); | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | ``` | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | </div> | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | </section> | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | ## Solution
 | 
					
						
							|  |  |  |  | <section id='solution'> | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | ```js | 
					
						
							|  |  |  |  | // solution required | 
					
						
							|  |  |  |  | ``` | 
					
						
							| 
									
										
										
										
											2020-08-13 17:24:35 +02:00
										 |  |  |  | 
 | 
					
						
							|  |  |  |  | /section> |