79d9012432
* fix(curriculum): tests quotes * fix(curriculum): fill seed-teardown * fix(curriculum): fix tests and remove unneeded seed-teardown
63 lines
1.1 KiB
Markdown
63 lines
1.1 KiB
Markdown
---
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id: 5900f4381000cf542c50ff4b
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challengeType: 5
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title: 'Problem 204: Generalised Hamming Numbers'
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---
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## Description
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<section id='description'>
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A Hamming number is a positive number which has no prime factor larger than 5.
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So the first few Hamming numbers are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15.
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There are 1105 Hamming numbers not exceeding 108.
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We will call a positive number a generalised Hamming number of type n, if it has no prime factor larger than n.
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Hence the Hamming numbers are the generalised Hamming numbers of type 5.
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How many generalised Hamming numbers of type 100 are there which don't exceed 109?
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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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tests:
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- text: <code>euler204()</code> should return 2944730.
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testString: assert.strictEqual(euler204(), 2944730, '<code>euler204()</code> should return 2944730.');
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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
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function euler204() {
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// Good luck!
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return true;
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}
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euler204();
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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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