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54 lines
2.5 KiB
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54 lines
2.5 KiB
HTML
<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>
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<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>
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<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 <= i <= n - 1</code> after performing all the operations.</p>
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<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>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> nums1 = [1,2,3,4,5], nums2 = [1,2,3,4,5]
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<strong>Output:</strong> 10
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<strong>Explanation:</strong>
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One of the ways we can perform the operations is:
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- Swap values at indices 0 and 3, incurring cost = 0 + 3 = 3. Now, nums1 = [4,2,3,1,5]
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- Swap values at indices 1 and 2, incurring cost = 1 + 2 = 3. Now, nums1 = [4,3,2,1,5].
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- Swap values at indices 0 and 4, incurring cost = 0 + 4 = 4. Now, nums1 =[5,3,2,1,4].
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We can see that for each index i, nums1[i] != nums2[i]. The cost required here is 10.
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Note 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.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> nums1 = [2,2,2,1,3], nums2 = [1,2,2,3,3]
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<strong>Output:</strong> 10
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<strong>Explanation:</strong>
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One of the ways we can perform the operations is:
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- Swap values at indices 2 and 3, incurring cost = 2 + 3 = 5. Now, nums1 = [2,2,1,2,3].
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- Swap values at indices 1 and 4, incurring cost = 1 + 4 = 5. Now, nums1 = [2,3,1,2,2].
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The total cost needed here is 10, which is the minimum possible.
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</pre>
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<p><strong class="example">Example 3:</strong></p>
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<pre>
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<strong>Input:</strong> nums1 = [1,2,2], nums2 = [1,2,2]
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<strong>Output:</strong> -1
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<strong>Explanation:</strong>
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It can be shown that it is not possible to satisfy the given conditions irrespective of the number of operations we perform.
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Hence, we return -1.
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>n == nums1.length == nums2.length</code></li>
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<li><code>1 <= n <= 10<sup>5</sup></code></li>
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<li><code>1 <= nums1[i], nums2[i] <= n</code></li>
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</ul>
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