64 lines
1.2 KiB
Markdown
64 lines
1.2 KiB
Markdown
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---
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id: 5
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localeTitle: 5900f5071000cf542c510018
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challengeType: 5
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title: 'Problem 410: Circle and tangent line'
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---
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## Description
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<section id='description'>
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Sea C el círculo con el radio r, x2 + y2 = r2. Elegimos dos puntos P (a, b) y Q (-a, c) para que la línea que pasa por P y Q sea tangente a C.
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Por ejemplo, el cuadrupleto (r, a, b, c) = ( 2, 6, 2, -7) satisface esta propiedad.
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Sea F (R, X) el número de los cuádruples enteros (r, a, b, c) con esta propiedad y con 0 <r ≤ R y 0 <a ≤ X.
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Podemos verificar que F (1, 5) = 10, F (2, 10) = 52 y F (10, 100) = 3384.
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Encuentre F (108, 109) + F (109, 108).
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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>euler410()</code> debe devolver 799999783589946600.
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testString: 'assert.strictEqual(euler410(), 799999783589946600, "<code>euler410()</code> should return 799999783589946600.");'
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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 euler410() {
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// Good luck!
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return true;
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}
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euler410();
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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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