56 lines
1.2 KiB
Markdown
56 lines
1.2 KiB
Markdown
|
---
|
|||
|
|
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>
|