leetcode-problemset/leetcode/originData/minimum-total-cost-to-make-arrays-unequal.json

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            "title": "Minimum Total Cost to Make Arrays Unequal",
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            "content": "<p>You are given two <strong>0-indexed</strong> integer arrays <code>nums1</code> and <code>nums2</code>, of equal length <code>n</code>.</p>\n\n<p>In one operation, you can swap the values of any two indices of <code>nums1</code>. The <strong>cost</strong> of this operation is the <strong>sum</strong> of the indices.</p>\n\n<p>Find the <strong>minimum</strong> total cost of performing the given operation <strong>any</strong> number of times such that <code>nums1[i] != nums2[i]</code> for all <code>0 &lt;= i &lt;= n - 1</code> after performing all the operations.</p>\n\n<p>Return <em>the <strong>minimum total cost</strong> such that </em><code>nums1</code> and <code>nums2</code><em> satisfy the above condition</em>. In case it is not possible, return <code>-1</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [1,2,3,4,5], nums2 = [1,2,3,4,5]\n<strong>Output:</strong> 10\n<strong>Explanation:</strong> \nOne of the ways we can perform the operations is:\n- Swap values at indices 0 and 3, incurring cost = 0 + 3 = 3. Now, nums1 = [4,2,3,1,5]\n- Swap values at indices 1 and 2, incurring cost = 1 + 2 = 3. Now, nums1 = [4,3,2,1,5].\n- Swap values at indices 0 and 4, incurring cost = 0 + 4 = 4. Now, nums1 =[5,3,2,1,4].\nWe can see that for each index i, nums1[i] != nums2[i]. The cost required here is 10.\nNote that there are other ways to swap values, but it can be proven that it is not possible to obtain a cost less than 10.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [2,2,2,1,3], nums2 = [1,2,2,3,3]\n<strong>Output:</strong> 10\n<strong>Explanation:</strong> \nOne of the ways we can perform the operations is:\n- Swap values at indices 2 and 3, incurring cost = 2 + 3 = 5. Now, nums1 = [2,2,1,2,3].\n- Swap values at indices 1 and 4, incurring cost = 1 + 4 = 5. Now, nums1 = [2,3,1,2,2].\nThe total cost needed here is 10, which is the minimum possible.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [1,2,2], nums2 = [1,2,2]\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> \nIt can be shown that it is not possible to satisfy the given conditions irrespective of the number of operations we perform.\nHence, we return -1.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == nums1.length == nums2.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums1[i], nums2[i] &lt;= n</code></li>\n</ul>\n",
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                "How can we check which indices of <code>nums1</code> will be considered for swapping? How to minimize the number of such operations?",
                "It can be seen that greedily swapping values of indices where <code>nums1[i] == nums2[i]</code> is the most optimal choice. How many values cannot be swapped this way?",
                "Find which indices we will swap these remaining values with, and if there are enough such indices."
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