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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-120-square-remainders.md
Oliver Eyton-Williams ee1e8abd87 feat(curriculum): restore seed + solution to Chinese (#40683)
* feat(tools): add seed/solution restore script

* chore(curriculum): remove empty sections' markers

* chore(curriculum): add seed + solution to Chinese

* chore: remove old formatter

* fix: update getChallenges

parse translated challenges separately, without reference to the source

* chore(curriculum): add dashedName to English

* chore(curriculum): add dashedName to Chinese

* refactor: remove unused challenge property 'name'

* fix: relax dashedName requirement

* fix: stray tag

Remove stray `pre` tag from challenge file.

Signed-off-by: nhcarrigan <nhcarrigan@gmail.com>

Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
2021-01-12 19:31:00 -07:00

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---
id: 5900f3e41000cf542c50fef7
title: 'Problem 120: Square remainders'
challengeType: 5
forumTopicId: 301747
dashedName: problem-120-square-remainders
---
# --description--
Let r be the remainder when (a1)n + (a+1)n is divided by a2.
For example, if a = 7 and n = 3, then r = 42: 63 + 83 = 728 ≡ 42 mod 49. And as n varies, so too will r, but for a = 7 it turns out that rmax = 42.
For 3 ≤ a ≤ 1000, find ∑ rmax.
# --hints--
`euler120()` should return 333082500.
```js
assert.strictEqual(euler120(), 333082500);
```
# --seed--
## --seed-contents--
```js
function euler120() {
return true;
}
euler120();
```
# --solutions--
```js
// solution required
```