79d9012432
* fix(curriculum): tests quotes * fix(curriculum): fill seed-teardown * fix(curriculum): fix tests and remove unneeded seed-teardown
102 lines
2.5 KiB
Markdown
102 lines
2.5 KiB
Markdown
---
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id: 5900f3db1000cf542c50feec
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challengeType: 5
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title: 'Problem 109: Darts'
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---
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## Description
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<section id='description'>
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In the game of darts a player throws three darts at a target board which is split into twenty equal sized sections numbered one to twenty.
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The score of a dart is determined by the number of the region that the dart lands in. A dart landing outside the red/green outer ring scores zero. The black and cream regions inside this ring represent single scores. However, the red/green outer ring and middle ring score double and treble scores respectively.
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At the centre of the board are two concentric circles called the bull region, or bulls-eye. The outer bull is worth 25 points and the inner bull is a double, worth 50 points.
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There are many variations of rules but in the most popular game the players will begin with a score 301 or 501 and the first player to reduce their running total to zero is a winner. However, it is normal to play a "doubles out" system, which means that the player must land a double (including the double bulls-eye at the centre of the board) on their final dart to win; any other dart that would reduce their running total to one or lower means the score for that set of three darts is "bust".
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When a player is able to finish on their current score it is called a "checkout" and the highest checkout is 170: T20 T20 D25 (two treble 20s and double bull).
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There are exactly eleven distinct ways to checkout on a score of 6:
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D3
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D1
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D2
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S2
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D2
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D2
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D1
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S4
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D1
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S1
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S1
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D2
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S1
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T1
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D1
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S1
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S3
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D1
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D1
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D1
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D1
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D1
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S2
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D1
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S2
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S2
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D1
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Note that D1 D2 is considered different to D2 D1 as they finish on different doubles. However, the combination S1 T1 D1 is considered the same as T1 S1 D1.
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In addition we shall not include misses in considering combinations; for example, D3 is the same as 0 D3 and 0 0 D3.
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Incredibly there are 42336 distinct ways of checking out in total.
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How many distinct ways can a player checkout with a score less than 100?
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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>euler109()</code> should return 38182.
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testString: assert.strictEqual(euler109(), 38182, '<code>euler109()</code> should return 38182.');
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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 euler109() {
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// Good luck!
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return true;
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}
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euler109();
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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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