2021-06-15 00:49:18 -07:00 
										
									 
								 
							 
							
								
							 
							
								 
							
							
								---
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								id: 5900f44b1000cf542c50ff5e
							 
						 
					
						
							
								
									
										
										
										
											2021-11-15 06:40:48 -08:00 
										
									 
								 
							 
							
								
									
										 
								
							 
							
								 
							
							
								title: 'Problema 223: Triângulos quase retos I'
							 
						 
					
						
							
								
									
										
										
										
											2021-06-15 00:49:18 -07:00 
										
									 
								 
							 
							
								
							 
							
								 
							
							
								challengeType: 5
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								forumTopicId: 301866
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								dashedName: problem-223-almost-right-angled-triangles-i
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								---
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								# --description--
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
									
										
										
										
											2021-11-15 06:40:48 -08:00 
										
									 
								 
							 
							
								
									
										 
								
							 
							
								 
							
							
								Chamaremos um triângulo de comprimento dos lados expresso em números inteiros, com os lados $a ≤ b ≤ c$, de quase agudos se os lados satisfizerem $a^2 + b^2 = c^2 + 1$.
							 
						 
					
						
							
								
									
										
										
										
											2021-06-15 00:49:18 -07:00 
										
									 
								 
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
									
										
										
										
											2021-11-15 06:40:48 -08:00 
										
									 
								 
							 
							
								
									
										 
								
							 
							
								 
							
							
								Quantos triângulos quase agudos existem com o perímetro $≤ 25.000.000$?
							 
						 
					
						
							
								
									
										
										
										
											2021-06-15 00:49:18 -07:00 
										
									 
								 
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								# --hints--
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
									
										
										
										
											2021-11-15 06:40:48 -08:00 
										
									 
								 
							 
							
								
									
										 
								
							 
							
								 
							
							
								`almostRightAngledTrianglesOne()`  deve retornar `61614848` . 
						 
					
						
							
								
									
										
										
										
											2021-06-15 00:49:18 -07:00 
										
									 
								 
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```js
							 
						 
					
						
							
								
									
										
										
										
											2021-11-15 06:40:48 -08:00 
										
									 
								 
							 
							
								
									
										 
								
							 
							
								 
							
							
								assert.strictEqual(almostRightAngledTrianglesOne(), 61614848);
							 
						 
					
						
							
								
									
										
										
										
											2021-06-15 00:49:18 -07:00 
										
									 
								 
							 
							
								
							 
							
								 
							
							
								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								# --seed--
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								## --seed-contents--
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```js
							 
						 
					
						
							
								
									
										
										
										
											2021-11-15 06:40:48 -08:00 
										
									 
								 
							 
							
								
									
										 
								
							 
							
								 
							
							
								function almostRightAngledTrianglesOne() {
							 
						 
					
						
							
								
									
										
										
										
											2021-06-15 00:49:18 -07:00 
										
									 
								 
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  return true;
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								}
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
									
										
										
										
											2021-11-15 06:40:48 -08:00 
										
									 
								 
							 
							
								
									
										 
								
							 
							
								 
							
							
								almostRightAngledTrianglesOne();
							 
						 
					
						
							
								
									
										
										
										
											2021-06-15 00:49:18 -07:00 
										
									 
								 
							 
							
								
							 
							
								 
							
							
								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								# --solutions--
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```js
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								// solution required
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```