* feat(tools): add seed/solution restore script * chore(curriculum): remove empty sections' markers * chore(curriculum): add seed + solution to Chinese * chore: remove old formatter * fix: update getChallenges parse translated challenges separately, without reference to the source * chore(curriculum): add dashedName to English * chore(curriculum): add dashedName to Chinese * refactor: remove unused challenge property 'name' * fix: relax dashedName requirement * fix: stray tag Remove stray `pre` tag from challenge file. Signed-off-by: nhcarrigan <nhcarrigan@gmail.com> Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
		
			
				
	
	
		
			43 lines
		
	
	
		
			669 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			43 lines
		
	
	
		
			669 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
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| id: 5900f5041000cf542c510016
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| title: 'Problem 407: Idempotents'
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| challengeType: 5
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| forumTopicId: 302075
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| dashedName: problem-407-idempotents
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| ---
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| 
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| # --description--
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| 
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| If we calculate a2 mod 6 for 0 ≤ a ≤ 5 we get: 0,1,4,3,4,1.
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| 
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| The largest value of a such that a2 ≡ a mod 6 is 4. Let's call M(n) the largest value of a < n such that a2 ≡ a (mod n). So M(6) = 4.
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| 
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| Find ∑M(n) for 1 ≤ n ≤ 107.
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| 
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| # --hints--
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| 
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| `euler407()` should return 39782849136421.
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| 
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| ```js
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| assert.strictEqual(euler407(), 39782849136421);
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| ```
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| 
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| # --seed--
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| 
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| ## --seed-contents--
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| 
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| ```js
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| function euler407() {
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| 
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|   return true;
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| }
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| 
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| euler407();
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| ```
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| 
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| # --solutions--
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| 
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| ```js
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| // solution required
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| ```
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