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leetcode-problemset/leetcode/originData/shortest-subarray-to-be-removed-to-make-array-sorted.json

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"title": "Shortest Subarray to be Removed to Make Array Sorted",
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"content": "<p>Given an integer array <code>arr</code>, remove a subarray (can be empty) from <code>arr</code> such that the remaining elements in <code>arr</code> are <strong>non-decreasing</strong>.</p>\n\n<p>Return <em>the length of the shortest subarray to remove</em>.</p>\n\n<p>A <strong>subarray</strong> is a contiguous subsequence of the array.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1,2,3,10,4,2,3,5]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The shortest subarray we can remove is [10,4,2] of length 3. The remaining elements after that will be [1,2,3,3,5] which are sorted.\nAnother correct solution is to remove the subarray [3,10,4].\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [5,4,3,2,1]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> Since the array is strictly decreasing, we can only keep a single element. Therefore we need to remove a subarray of length 4, either [5,4,3,2] or [4,3,2,1].\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1,2,3]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> The array is already non-decreasing. We do not need to remove any elements.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= arr.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= arr[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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"code": "defmodule Solution do\n @spec find_length_of_shortest_subarray(arr :: [integer]) :: integer\n def find_length_of_shortest_subarray(arr) do\n \n end\nend",
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"hints": [
"The key is to find the longest non-decreasing subarray starting with the first element or ending with the last element, respectively.",
"After removing some subarray, the result is the concatenation of a sorted prefix and a sorted suffix, where the last element of the prefix is smaller than the first element of the suffix."
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