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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-454-diophantine-reciprocals-iii.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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Markdown

---
id: 5900f5331000cf542c510045
title: 'Problem 454: Diophantine reciprocals III'
challengeType: 5
forumTopicId: 302127
dashedName: problem-454-diophantine-reciprocals-iii
---
# --description--
In the following equation x, y, and n are positive integers. 1/x + 1/y= 1/n
<!-- TODO Use MathJax -->
For a limit L we define F(L) as the number of solutions which satisfy x &lt; y ≤ L.
We can verify that F(15) = 4 and F(1000) = 1069. Find F(1012).
# --hints--
`euler454()` should return 5435004633092.
```js
assert.strictEqual(euler454(), 5435004633092);
```
# --seed--
## --seed-contents--
```js
function euler454() {
return true;
}
euler454();
```
# --solutions--
```js
// solution required
```