79d9012432
* fix(curriculum): tests quotes * fix(curriculum): fill seed-teardown * fix(curriculum): fix tests and remove unneeded seed-teardown
63 lines
1.0 KiB
Markdown
63 lines
1.0 KiB
Markdown
---
|
|
id: 5900f4f91000cf542c51000c
|
|
challengeType: 5
|
|
title: 'Problem 397: Triangle on parabola'
|
|
---
|
|
|
|
## Description
|
|
<section id='description'>
|
|
On the parabola y = x2/k, three points A(a, a2/k), B(b, b2/k) and C(c, c2/k) are chosen.
|
|
|
|
|
|
Let F(K, X) be the number of the integer quadruplets (k, a, b, c) such that at least one angle of the triangle ABC is 45-degree, with 1 ≤ k ≤ K and -X ≤ a < b < c ≤ X.
|
|
|
|
|
|
For example, F(1, 10) = 41 and F(10, 100) = 12492.
|
|
Find F(106, 109).
|
|
</section>
|
|
|
|
## Instructions
|
|
<section id='instructions'>
|
|
|
|
</section>
|
|
|
|
## Tests
|
|
<section id='tests'>
|
|
|
|
```yml
|
|
tests:
|
|
- text: <code>euler397()</code> should return 141630459461893730.
|
|
testString: assert.strictEqual(euler397(), 141630459461893730, '<code>euler397()</code> should return 141630459461893730.');
|
|
|
|
```
|
|
|
|
</section>
|
|
|
|
## Challenge Seed
|
|
<section id='challengeSeed'>
|
|
|
|
<div id='js-seed'>
|
|
|
|
```js
|
|
function euler397() {
|
|
// Good luck!
|
|
return true;
|
|
}
|
|
|
|
euler397();
|
|
```
|
|
|
|
</div>
|
|
|
|
|
|
|
|
</section>
|
|
|
|
## Solution
|
|
<section id='solution'>
|
|
|
|
```js
|
|
// solution required
|
|
```
|
|
</section>
|