2018-09-30 23:01:58 +01:00
										 
									 
								 
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								id: 5900f4de1000cf542c50fff1
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								challengeType: 5
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								title: 'Problem 370: Geometric triangles'
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								---
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								## Description
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								<section id='description'>
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											2018-10-08 01:01:53 +01:00
										 
									 
								 
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								Let us define a geometric triangle as an integer sided triangle with sides a ≤ b ≤ c so that its sides form a geometric progression, i.e. b2 = a · c . 
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								An example of such a geometric triangle is the triangle with sides a = 144, b = 156 and c = 169.
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								There are 861805 geometric triangles with perimeter ≤ 106 .
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								How many geometric triangles exist with perimeter ≤ 2.5·1013 ?
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								</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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											2018-10-04 14:37:37 +01:00
										 
									 
								 
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								tests:
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								  - text: <code>euler370()</code> should return 41791929448408.
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											2018-10-20 21:02:47 +03:00
										 
									 
								 
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								    testString: assert.strictEqual(euler370(), 41791929448408, '<code>euler370()</code> should return 41791929448408.');
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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
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								function euler370() {
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								  // Good luck!
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								  return true;
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								}
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								euler370();
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								```
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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
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								// solution required
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								```
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								</section>
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