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curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-109-darts.md

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+---
+id: 5900f3db1000cf542c50feec
+challengeType: 5
+title: 'Problem 109: Darts'
+forumTopicId: 301733
+---
+
+## Description
+<section id='description'>
+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.
+
+
+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.
+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.
+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".
+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).
+There are exactly eleven distinct ways to checkout on a score of 6:
+
+D3
+
+
+D1
+D2
+
+S2
+D2
+
+D2
+D1
+
+S4
+D1
+
+S1
+S1
+D2
+S1
+T1
+D1
+S1
+S3
+D1
+D1
+D1
+D1
+D1
+S2
+D1
+S2
+S2
+D1
+
+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.
+In addition we shall not include misses in considering combinations; for example, D3 is the same as 0 D3 and 0 0 D3.
+Incredibly there are 42336 distinct ways of checking out in total.
+How many distinct ways can a player checkout with a score less than 100?
+</section>
+
+## Instructions
+<section id='instructions'>
+
+</section>
+
+## Tests
+<section id='tests'>
+
+```yml
+tests:
+  - text: <code>euler109()</code> should return 38182.
+    testString: assert.strictEqual(euler109(), 38182);
+
+```
+
+</section>
+
+## Challenge Seed
+<section id='challengeSeed'>
+
+<div id='js-seed'>
+
+```js
+function euler109() {
+
+  return true;
+}
+
+euler109();
+```
+
+</div>
+
+
+
+</section>
+
+## Solution
+<section id='solution'>
+
+```js
+// solution required
+```
+
+</section>