---
id: 5900f4f11000cf542c510002
challengeType: 5
title: 'Problem 388: Distinct Lines'
---

## Description
<section id='description'>
Consider all lattice points (a,b,c) with 0 ≤ a,b,c ≤ N.


From the origin O(0,0,0) all lines are drawn to the other lattice points.
Let D(N) be the number of distinct such lines.


You are given that D(1 000 000) = 831909254469114121.

Find D(1010). Give as your answer the first nine digits followed by the last nine digits.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler388()</code> should return 831907372805130000.
    testString: assert.strictEqual(euler388(), 831907372805130000, '<code>euler388()</code> should return 831907372805130000.');

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler388() {
  // Good luck!
  return true;
}

euler388();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```
</section>