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							|  |  |  | id: 5900f3b81000cf542c50fecb | 
					
						
							|  |  |  | challengeType: 5 | 
					
						
							|  |  |  | title: 'Problem 76: Counting summations' | 
					
						
							|  |  |  | --- | 
					
						
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							|  |  |  | ## Description
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							|  |  |  | <section id='description'> | 
					
						
							|  |  |  | It is possible to write five as a sum in exactly six different ways: | 
					
						
							|  |  |  | 4 + 1 | 
					
						
							|  |  |  | 3 + 2 | 
					
						
							|  |  |  | 3 + 1 + 1 | 
					
						
							|  |  |  | 2 + 2 + 1 | 
					
						
							|  |  |  | 2 + 1 + 1 + 1 | 
					
						
							|  |  |  | 1 + 1 + 1 + 1 + 1 | 
					
						
							|  |  |  | How many different ways can one hundred be written as a sum of at least two positive integers? | 
					
						
							|  |  |  | </section> | 
					
						
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							|  |  |  | ## Instructions
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							|  |  |  | <section id='instructions'> | 
					
						
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							|  |  |  | </section> | 
					
						
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							|  |  |  | ## Tests
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							|  |  |  | <section id='tests'> | 
					
						
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							|  |  |  | ```yml | 
					
						
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										 |  |  | tests: | 
					
						
							|  |  |  |   - text: <code>euler76()</code> should return 190569291. | 
					
						
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										 |  |  |     testString: assert.strictEqual(euler76(), 190569291, '<code>euler76()</code> should return 190569291.'); | 
					
						
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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 euler76() { | 
					
						
							|  |  |  |   // Good luck! | 
					
						
							|  |  |  |   return true; | 
					
						
							|  |  |  | } | 
					
						
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							|  |  |  | euler76(); | 
					
						
							|  |  |  | ``` | 
					
						
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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 | 
					
						
							|  |  |  | ``` | 
					
						
							|  |  |  | </section> |