56 lines
1.4 KiB
Markdown
56 lines
1.4 KiB
Markdown
---
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id: 5900f53d1000cf542c51004f
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challengeType: 5
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title: 'Problem 464: Möbius function and intervals'
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videoUrl: ''
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localeTitle: 'Problema 464: Función de Möbius e intervalos.'
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---
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## Description
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<section id="description"> La función de Möbius, denotada μ (n), se define como: μ (n) = (-1) ω (n) si n es squarefree (donde ω (n) es el número de factores primos distintos de n) μ (n ) = 0 si n no es squarefree. <p> Sea P (a, b) el número de enteros n en el intervalo [a, b] tal que μ (n) = 1. Sea N (a, b) el número de enteros n en el intervalo [a, b ] tal que μ (n) = -1. Por ejemplo, P (2,10) = 2 y N (2,10) = 4. </p><p> Sea C (n) el número de pares de enteros (a, b) de manera que: 1 ≤ a ≤ b ≤ n, 99 · N (a, b) ≤ 100 · P (a, b), y 99 · P ( a, b) ≤ 100 · N (a, b). </p><p> Por ejemplo, C (10) = 13, C (500) = 16676 y C (10 000) = 20155319. </p><p> Encontrar C (20 000 000). </p></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>euler464()</code> debe devolver 198775297232878.
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testString: 'assert.strictEqual(euler464(), 198775297232878, "<code>euler464()</code> should return 198775297232878.");'
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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 euler464() {
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// Good luck!
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return true;
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}
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euler464();
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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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