---
id: 5900f5351000cf542c510047
challengeType: 5
title: 'Problem 456: Triangles containing the origin II'
videoUrl: ''
localeTitle: 'Problema 456: Triângulos contendo a origem II'
---

## Description
<section id="description"> Defina: xn = (1248n mod 32323) - 16161yn = (8421n mod 30103) - 15051 Pn = {(x1, y1), (x2, y2), ..., (xn, yn)} <p> Por exemplo, P8 = {(-14913, -6630), (-10161, 5625), (5226, 11896), (8340, -10778), (15852, -5203), (-15165, 11295), (- 1427, -14495), (12407, 1060)}. </p><p> Seja C (n) o número de triângulos cujos vértices estão em Pn que contêm a origem no interior. </p><p> Exemplos: C (8) = 20 C (600) = 8950634 C (40 000) = 2666610948988 </p><p> Encontre C (2 000 000). </p></section>

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

## Tests
<section id='tests'>

```yml
tests:
  - text: ''
    testString: 'assert.strictEqual(euler456(), 333333208685971500, "<code>euler456()</code> should return 333333208685971500.");'

```

</section>

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

<div id='js-seed'>

```js
function euler456() {
  // Good luck!
  return true;
}

euler456();

```

</div>



</section>

## Solution
<section id='solution'>

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