---
id: 5900f3931000cf542c50fea6
challengeType: 5
title: 'Problem 39: Integer right triangles'
forumTopicId: 302054
localeTitle: 'Problem 39: Integer right triangles'
---

## Description
<section id='description'>
Если p - периметр прямоугольного треугольника со сторонами целой длины, {a, b, c}, то существует ровно три решения для p = 120. {20,48,52}, {24,45,51}, { 30,40,50} Для какого значения p ≤ n, число решений максимизировано?
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>intRightTriangles(500)</code> should return 420.
    testString: assert(intRightTriangles(500) == 420);
  - text: <code>intRightTriangles(800)</code> should return 420.
    testString: assert(intRightTriangles(800) == 420);
  - text: <code>intRightTriangles(900)</code> should return 840.
    testString: assert(intRightTriangles(900) == 840);
  - text: <code>intRightTriangles(1000)</code> should return 840.
    testString: assert(intRightTriangles(1000) == 840);

```

</section>

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

<div id='js-seed'>

```js
function intRightTriangles(n) {
  // Good luck!
  return n;
}

intRightTriangles(1000);

```

</div>

</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>