62 lines
1.1 KiB
Markdown
62 lines
1.1 KiB
Markdown
---
|
|
id: 5900f4a21000cf542c50ffb5
|
|
challengeType: 5
|
|
title: 'Problem 310: Nim Square'
|
|
---
|
|
|
|
## Description
|
|
<section id='description'>
|
|
Alice and Bob play the game Nim Square.
|
|
Nim Square is just like ordinary three-heap normal play Nim, but the players may only remove a square number of stones from a heap.
|
|
The number of stones in the three heaps is represented by the ordered triple (a,b,c).
|
|
If 0≤a≤b≤c≤29 then the number of losing positions for the next player is 1160.
|
|
|
|
|
|
Find the number of losing positions for the next player if 0≤a≤b≤c≤100 000.
|
|
</section>
|
|
|
|
## Instructions
|
|
<section id='instructions'>
|
|
|
|
</section>
|
|
|
|
## Tests
|
|
<section id='tests'>
|
|
|
|
```yml
|
|
tests:
|
|
- text: <code>euler310()</code> should return 2586528661783.
|
|
testString: 'assert.strictEqual(euler310(), 2586528661783, "<code>euler310()</code> should return 2586528661783.");'
|
|
|
|
```
|
|
|
|
</section>
|
|
|
|
## Challenge Seed
|
|
<section id='challengeSeed'>
|
|
|
|
<div id='js-seed'>
|
|
|
|
```js
|
|
function euler310() {
|
|
// Good luck!
|
|
return true;
|
|
}
|
|
|
|
euler310();
|
|
```
|
|
|
|
</div>
|
|
|
|
|
|
|
|
</section>
|
|
|
|
## Solution
|
|
<section id='solution'>
|
|
|
|
```js
|
|
// solution required
|
|
```
|
|
</section>
|