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---
id: 5900f3e41000cf542c50fef7
challengeType: 5
title: 'Problem 120: Square remainders'
videoUrl: ''
localeTitle: 'Задача 120: Квадратные остатки'
---
## Description
<section id="description"> Пусть r - остаток, когда (a-1) n + (a + 1) n делится на a2. Например, если a = 7 и n = 3, то r = 42: 63 + 83 = 728 ≡ 42 mod 49. А при изменении n также будет r, но при a = 7 получается, что rmax = 42. Для 3 ≤ a ≤ 1000 найдите Σ rmax. </section>
## Instructions
<section id="instructions">
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>euler120()</code> должен вернуть 333082500.
testString: 'assert.strictEqual(euler120(), 333082500, "<code>euler120()</code> should return 333082500.");'
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function euler120() {
// Good luck!
return true;
}
euler120();
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
</section>