64 lines
1.0 KiB
Markdown
64 lines
1.0 KiB
Markdown
---
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id: 5900f5191000cf542c51002c
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challengeType: 5
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title: 'Problem 429: Sum of squares of unitary divisors'
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---
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## Description
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<section id='description'>
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A unitary divisor d of a number n is a divisor of n that has the property gcd(d, n/d) = 1.
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The unitary divisors of 4! = 24 are 1, 3, 8 and 24.
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The sum of their squares is 12 + 32 + 82 + 242 = 650.
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Let S(n) represent the sum of the squares of the unitary divisors of n. Thus S(4!)=650.
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Find S(100 000 000!) modulo 1 000 000 009.
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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>euler429()</code> should return 98792821.
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testString: assert.strictEqual(euler429(), 98792821, '<code>euler429()</code> should return 98792821.');
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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 euler429() {
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// Good luck!
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return true;
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}
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euler429();
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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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