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			67 lines
		
	
	
		
			1.3 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			67 lines
		
	
	
		
			1.3 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
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| id: 5900f3ff1000cf542c50ff12
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| challengeType: 5
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| title: 'Problem 147: Rectangles in cross-hatched grids'
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| ---
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| 
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| ## Description
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| <section id='description'>
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| In a 3x2 cross-hatched grid, a total of 37 different rectangles could be situated within that grid as indicated in the sketch.
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| 
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| There are 5 grids smaller than 3x2, vertical and horizontal dimensions being important, i.e. 1x1, 2x1, 3x1, 1x2 and 2x2. If each of them is cross-hatched, the following number of different rectangles could be situated within those smaller grids:
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| 1x1: 1
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| 2x1: 4
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| 3x1: 8
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| 1x2: 4
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| 2x2: 18
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| 
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| Adding those to the 37 of the 3x2 grid, a total of 72 different rectangles could be situated within 3x2 and smaller grids.
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| 
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| How many different rectangles could be situated within 47x43 and smaller grids?
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| </section>
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| 
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| ## Instructions
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| <section id='instructions'>
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| 
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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>euler147()</code> should return 846910284.
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|     testString: assert.strictEqual(euler147(), 846910284, '<code>euler147()</code> should return 846910284.');
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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 euler147() {
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|   // Good luck!
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|   return true;
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| }
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| 
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| euler147();
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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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