62 lines
1.1 KiB
Markdown
62 lines
1.1 KiB
Markdown
---
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id: 5900f41a1000cf542c50ff2c
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challengeType: 5
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title: 'Problem 173: Using up to one million tiles how many different "hollow" square laminae can be formed?'
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forumTopicId: 301808
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---
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## Description
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<section id='description'>
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We shall define a square lamina to be a square outline with a square "hole" so that the shape possesses vertical and horizontal symmetry. For example, using exactly thirty-two square tiles we can form two different square laminae:
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With one-hundred tiles, and not necessarily using all of the tiles at one time, it is possible to form forty-one different square laminae.
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Using up to one million tiles how many different square laminae can be formed?
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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler173()</code> should return 1572729.
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testString: assert.strictEqual(euler173(), 1572729);
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler173() {
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// Good luck!
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return true;
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}
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euler173();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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