64 lines
1.2 KiB
Markdown
64 lines
1.2 KiB
Markdown
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---
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id: 5900f3d21000cf542c50fee5
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challengeType: 5
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title: 'Problem 102: Triangle containment'
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forumTopicId: 301726
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---
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## Description
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<section id='description'>
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Three distinct points are plotted at random on a Cartesian plane, for which -1000 ≤ x, y ≤ 1000, such that a triangle is formed.
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Consider the following two triangles:
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A(-340,495), B(-153,-910), C(835,-947)
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X(-175,41), Y(-421,-714), Z(574,-645)
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It can be verified that triangle ABC contains the origin, whereas triangle XYZ does not.
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Using triangles.txt (right click and 'Save Link/Target As...'), a 27K text file containing the coordinates of one thousand "random" triangles, find the number of triangles for which the interior contains the origin.
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NOTE: The first two examples in the file represent the triangles in the example given above.
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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>euler102()</code> should return 228.
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testString: assert.strictEqual(euler102(), 228);
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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 euler102() {
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return true;
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}
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euler102();
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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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