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curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-340-crazy-function.md

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+---
+id: 5900f4c21000cf542c50ffd4
+challengeType: 5
+title: 'Problem 340: Crazy Function'
+forumTopicId: 301999
+---
+
+## Description
+<section id='description'>
+For fixed integers a, b, c, define the crazy function F(n) as follows:
+F(n) = n - c for all n > b
+F(n) = F(a + F(a + F(a + F(a + n)))) for all n ≤ b.
+
+
+Also, define S(a, b, c) = .
+
+
+For example, if a = 50, b = 2000 and c = 40, then F(0) = 3240 and F(2000) = 2040.
+Also, S(50, 2000, 40) = 5204240.
+
+
+Find the last 9 digits of S(217, 721, 127).
+</section>
+
+## Instructions
+<section id='instructions'>
+
+</section>
+
+## Tests
+<section id='tests'>
+
+```yml
+tests:
+  - text: <code>euler340()</code> should return 291504964.
+    testString: assert.strictEqual(euler340(), 291504964);
+
+```
+
+</section>
+
+## Challenge Seed
+<section id='challengeSeed'>
+
+<div id='js-seed'>
+
+```js
+function euler340() {
+
+  return true;
+}
+
+euler340();
+```
+
+</div>
+
+
+
+</section>
+
+## Solution
+<section id='solution'>
+
+```js
+// solution required
+```
+
+</section>