---
id: 5900f4f91000cf542c51000c
challengeType: 5
title: 'Problem 397: Triangle on parabola'
videoUrl: ''
localeTitle: 'Problema 397: Triângulo na parábola'
---

## Description
<section id="description"> Na parábola y = x2 / k, são escolhidos três pontos A (a, a2 / k), B (b, b2 / k) e C (c, c2 / k). <p> Seja F (K, X) o número dos quadrigêmeos inteiros (k, a, b, c) de modo que pelo menos um ângulo do triângulo ABC seja de 45 graus, com 1 ≤ k ≤ K e -X ≤ a &lt; b &lt;c ≤ X. </p><p> Por exemplo, F (1, 10) = 41 e F (10, 100) = 12492. Encontre F (106, 109). </p></section>

## Instructions
<section id="instructions">
</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler397()</code> deve retornar 141630459461893730.
    testString: 'assert.strictEqual(euler397(), 141630459461893730, "<code>euler397()</code> should return 141630459461893730.");'

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler397() {
  // Good luck!
  return true;
}

euler397();

```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```
</section>