64 lines
1.1 KiB
Markdown
64 lines
1.1 KiB
Markdown
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---
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id: 5
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localeTitle: 5900f4f91000cf542c51000c
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challengeType: 5
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title: 'Problem 397: Triangle on parabola'
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---
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## Description
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<section id='description'>
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En la parábola y = x2 / k, se eligen tres puntos A (a, a2 / k), B (b, b2 / k) y C (c, c2 / k).
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Sea F (K, X) el número de los cuádruples enteros (k, a, b, c) de manera que al menos un ángulo del triángulo ABC sea de 45 grados, con 1 ≤ k ≤ K y -X ≤ a <b <c ≤ X.
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Por ejemplo, F (1, 10) = 41 y F (10, 100) = 12492.
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Encuentre F (106, 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>euler397()</code> debe devolver 141630459461893730.
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testString: 'assert.strictEqual(euler397(), 141630459461893730, "<code>euler397()</code> should return 141630459461893730.");'
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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 euler397() {
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// Good luck!
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return true;
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}
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euler397();
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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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