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curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-112-bouncy-numbers.md

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+---
+id: 5900f3dd1000cf542c50feef
+title: 'Problem 112: Bouncy numbers'
+challengeType: 5
+forumTopicId: 301738
+dashedName: problem-112-bouncy-numbers
+---
+
+# --description--
+
+Working from left-to-right if no digit is exceeded by the digit to its left it is called an increasing number; for example, 134468.
+
+Similarly if no digit is exceeded by the digit to its right it is called a decreasing number; for example, 66420.
+
+We shall call a positive integer that is neither increasing nor decreasing a "bouncy" number; for example, 155349.
+
+Clearly there cannot be any bouncy numbers below one-hundred, but just over half of the numbers below one-thousand (525) are bouncy. In fact, the least number for which the proportion of bouncy numbers first reaches 50% is 538.
+
+Surprisingly, bouncy numbers become more and more common and by the time we reach 21780 the proportion of bouncy numbers is equal to 90%.
+
+Find the least number for which the proportion of bouncy numbers is exactly 99%.
+
+# --hints--
+
+`euler112()` should return 1587000.
+
+```js
+assert.strictEqual(euler112(), 1587000);
+```
+
+# --seed--
+
+## --seed-contents--
+
+```js
+function euler112() {
+
+  return true;
+}
+
+euler112();
+```
+
+# --solutions--
+
+```js
+// solution required
+```