leetcode-problemset/leetcode/originData/create-sorted-array-through-instructions.json

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            "title": "Create Sorted Array through Instructions",
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            "content": "<p>Given an integer array <code>instructions</code>, you are asked to create a sorted array from the elements in <code>instructions</code>. You start with an empty container <code>nums</code>. For each element from <strong>left to right</strong> in <code>instructions</code>, insert it into <code>nums</code>. The <strong>cost</strong> of each insertion is the <b>minimum</b> of the following:</p>\r\n\r\n<ul>\r\n\t<li>The number of elements currently in <code>nums</code> that are <strong>strictly less than</strong> <code>instructions[i]</code>.</li>\r\n\t<li>The number of elements currently in <code>nums</code> that are <strong>strictly greater than</strong> <code>instructions[i]</code>.</li>\r\n</ul>\r\n\r\n<p>For example, if inserting element <code>3</code> into <code>nums = [1,2,3,5]</code>, the <strong>cost</strong> of insertion is <code>min(2, 1)</code> (elements <code>1</code> and <code>2</code> are less than <code>3</code>, element <code>5</code> is greater than <code>3</code>) and <code>nums</code> will become <code>[1,2,3,3,5]</code>.</p>\r\n\r\n<p>Return <em>the <strong>total cost</strong> to insert all elements from </em><code>instructions</code><em> into </em><code>nums</code>. Since the answer may be large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code></p>\r\n\r\n<p>&nbsp;</p>\r\n<p><strong>Example 1:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> instructions = [1,5,6,2]\r\n<strong>Output:</strong> 1\r\n<strong>Explanation:</strong> Begin with nums = [].\r\nInsert 1 with cost min(0, 0) = 0, now nums = [1].\r\nInsert 5 with cost min(1, 0) = 0, now nums = [1,5].\r\nInsert 6 with cost min(2, 0) = 0, now nums = [1,5,6].\r\nInsert 2 with cost min(1, 2) = 1, now nums = [1,2,5,6].\r\nThe total cost is 0 + 0 + 0 + 1 = 1.</pre>\r\n\r\n<p><strong>Example 2:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> instructions = [1,2,3,6,5,4]\r\n<strong>Output:</strong> 3\r\n<strong>Explanation:</strong> Begin with nums = [].\r\nInsert 1 with cost min(0, 0) = 0, now nums = [1].\r\nInsert 2 with cost min(1, 0) = 0, now nums = [1,2].\r\nInsert 3 with cost min(2, 0) = 0, now nums = [1,2,3].\r\nInsert 6 with cost min(3, 0) = 0, now nums = [1,2,3,6].\r\nInsert 5 with cost min(3, 1) = 1, now nums = [1,2,3,5,6].\r\nInsert 4 with cost min(3, 2) = 2, now nums = [1,2,3,4,5,6].\r\nThe total cost is 0 + 0 + 0 + 0 + 1 + 2 = 3.\r\n</pre>\r\n\r\n<p><strong>Example 3:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> instructions = [1,3,3,3,2,4,2,1,2]\r\n<strong>Output:</strong> 4\r\n<strong>Explanation:</strong> Begin with nums = [].\r\nInsert 1 with cost min(0, 0) = 0, now nums = [1].\r\nInsert 3 with cost min(1, 0) = 0, now nums = [1,3].\r\nInsert 3 with cost min(1, 0) = 0, now nums = [1,3,3].\r\nInsert 3 with cost min(1, 0) = 0, now nums = [1,3,3,3].\r\nInsert 2 with cost min(1, 3) = 1, now nums = [1,2,3,3,3].\r\nInsert 4 with cost min(5, 0) = 0, now nums = [1,2,3,3,3,4].\r\n​​​​​​​Insert 2 with cost min(1, 4) = 1, now nums = [1,2,2,3,3,3,4].\r\n​​​​​​​Insert 1 with cost min(0, 6) = 0, now nums = [1,1,2,2,3,3,3,4].\r\n​​​​​​​Insert 2 with cost min(2, 4) = 2, now nums = [1,1,2,2,2,3,3,3,4].\r\nThe total cost is 0 + 0 + 0 + 0 + 1 + 0 + 1 + 0 + 2 = 4.\r\n</pre>\r\n\r\n<p>&nbsp;</p>\r\n<p><strong>Constraints:</strong></p>\r\n\r\n<ul>\r\n\t<li><code>1 &lt;= instructions.length &lt;= 10<sup>5</sup></code></li>\r\n\t<li><code>1 &lt;= instructions[i] &lt;= 10<sup>5</sup></code></li>\r\n</ul>",
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