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			64 lines
		
	
	
		
			1.4 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			64 lines
		
	
	
		
			1.4 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
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| id: 5900f3ca1000cf542c50fedc
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| challengeType: 5
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| title: 'Problem 93: Arithmetic expressions'
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| ---
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| 
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| ## Description
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| <section id='description'>
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| By using each of the digits from the set, {1, 2, 3, 4}, exactly once, and making use of the four arithmetic operations (+, −, *, /) and brackets/parentheses, it is possible to form different positive integer targets.
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| For example,
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| 8 = (4 * (1 + 3)) / 2
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| 14 = 4 * (3 + 1 / 2)
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| 19 = 4 * (2 + 3) − 1
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| 36 = 3 * 4 * (2 + 1)
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| Note that concatenations of the digits, like 12 + 34, are not allowed.
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| Using the set, {1, 2, 3, 4}, it is possible to obtain thirty-one different target numbers of which 36 is the maximum, and each of the numbers 1 to 28 can be obtained before encountering the first non-expressible number.
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| Find the set of four distinct digits, a < b < c < d, for which the longest set of consecutive positive integers, 1 to n, can be obtained, giving your answer as a string: abcd.
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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>euler93()</code> should return 1258.
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|     testString: assert.strictEqual(euler93(), 1258, '<code>euler93()</code> should return 1258.');
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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 euler93() {
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|   // Good luck!
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|   return true;
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| }
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| 
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| euler93();
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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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