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

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+---
+id: 5900f4c21000cf542c50ffd4
+title: 'Problem 340: Crazy Function'
+challengeType: 5
+forumTopicId: 301999
+dashedName: problem-340-crazy-function
+---
+
+# --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).
+
+# --hints--
+
+`euler340()` should return 291504964.
+
+```js
+assert.strictEqual(euler340(), 291504964);
+```
+
+# --seed--
+
+## --seed-contents--
+
+```js
+function euler340() {
+
+  return true;
+}
+
+euler340();
+```
+
+# --solutions--
+
+```js
+// solution required
+```