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---
id: 5900f4551000cf542c50ff68
challengeType: 5
title: 'Problem 233: Lattice points on a circle'
videoUrl: ''
localeTitle: 'Задача 233: точки решетки на круге'
---
## Description
<section id="description"> Пусть f (N) - число точек с целыми координатами, которые находятся на окружности, проходящей через (0,0), (N, 0), (0, N) и (N, N). Можно показать, что f (10000) = 36. <p> Какова сумма всех натуральных чисел N ≤ 1011 таких, что f (N) = 420? </p></section>
## Instructions
<section id="instructions">
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>euler233()</code> должен вернуть 271204031455541300.
testString: 'assert.strictEqual(euler233(), 271204031455541300, "<code>euler233()</code> should return 271204031455541300.");'
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function euler233() {
// Good luck!
return true;
}
euler233();
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
</section>