{ "data": { "question": { "questionId": "2592", "questionFrontendId": "2499", "boundTopicId": null, "title": "Minimum Total Cost to Make Arrays Unequal", "titleSlug": "minimum-total-cost-to-make-arrays-unequal", "content": "
You are given two 0-indexed integer arrays nums1
and nums2
, of equal length n
.
In one operation, you can swap the values of any two indices of nums1
. The cost of this operation is the sum of the indices.
Find the minimum total cost of performing the given operation any number of times such that nums1[i] != nums2[i]
for all 0 <= i <= n - 1
after performing all the operations.
Return the minimum total cost such that nums1
and nums2
satisfy the above condition. In case it is not possible, return -1
.
\n
Example 1:
\n\n\nInput: nums1 = [1,2,3,4,5], nums2 = [1,2,3,4,5]\nOutput: 10\nExplanation: \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\n\n
Example 2:
\n\n\nInput: nums1 = [2,2,2,1,3], nums2 = [1,2,2,3,3]\nOutput: 10\nExplanation: \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\n\n
Example 3:
\n\n\nInput: nums1 = [1,2,2], nums2 = [1,2,2]\nOutput: -1\nExplanation: \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\n\n
\n
Constraints:
\n\nn == nums1.length == nums2.length
1 <= n <= 105
1 <= nums1[i], nums2[i] <= n
nums1
will be considered for swapping? How to minimize the number of such operations?",
"It can be seen that greedily swapping values of indices where nums1[i] == nums2[i]
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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