{ "data": { "question": { "questionId": "3190", "questionFrontendId": "2934", "boundTopicId": null, "title": "Minimum Operations to Maximize Last Elements in Arrays", "titleSlug": "minimum-operations-to-maximize-last-elements-in-arrays", "content": "
You are given two 0-indexed integer arrays, nums1
and nums2
, both having length n
.
You are allowed to perform a series of operations (possibly none).
\n\nIn an operation, you select an index i
in the range [0, n - 1]
and swap the values of nums1[i]
and nums2[i]
.
Your task is to find the minimum number of operations required to satisfy the following conditions:
\n\nnums1[n - 1]
is equal to the maximum value among all elements of nums1
, i.e., nums1[n - 1] = max(nums1[0], nums1[1], ..., nums1[n - 1])
.nums2[n - 1]
is equal to the maximum value among all elements of nums2
, i.e., nums2[n - 1] = max(nums2[0], nums2[1], ..., nums2[n - 1])
.Return an integer denoting the minimum number of operations needed to meet both conditions, or -1
if it is impossible to satisfy both conditions.
\n
Example 1:
\n\n\nInput: nums1 = [1,2,7], nums2 = [4,5,3]\nOutput: 1\nExplanation: In this example, an operation can be performed using index i = 2.\nWhen nums1[2] and nums2[2] are swapped, nums1 becomes [1,2,3] and nums2 becomes [4,5,7].\nBoth conditions are now satisfied.\nIt can be shown that the minimum number of operations needed to be performed is 1.\nSo, the answer is 1.\n\n\n
Example 2:
\n\n\nInput: nums1 = [2,3,4,5,9], nums2 = [8,8,4,4,4]\nOutput: 2\nExplanation: In this example, the following operations can be performed:\nFirst operation using index i = 4.\nWhen nums1[4] and nums2[4] are swapped, nums1 becomes [2,3,4,5,4], and nums2 becomes [8,8,4,4,9].\nAnother operation using index i = 3.\nWhen nums1[3] and nums2[3] are swapped, nums1 becomes [2,3,4,4,4], and nums2 becomes [8,8,4,5,9].\nBoth conditions are now satisfied.\nIt can be shown that the minimum number of operations needed to be performed is 2.\nSo, the answer is 2. \n\n\n
Example 3:
\n\n\nInput: nums1 = [1,5,4], nums2 = [2,5,3]\nOutput: -1\nExplanation: In this example, it is not possible to satisfy both conditions. \nSo, the answer is -1.\n\n\n
\n
Constraints:
\n\n1 <= n == nums1.length == nums2.length <= 1000
1 <= nums1[i] <= 109
1 <= nums2[i] <= 109
nums1[n - 1]
and nums2[n - 1]
are fixed (they are not swapped).",
"For each index i
, there are only 3
possibilities: nums1[i] <= nums1[n - 1] && nums2[i] <= nums2[n - 1]
. We don't need to swap them.nums1[i] <= nums2[n - 1] && nums2[i] <= nums1[n - 1]
. We have to swap them.2
cases to determine the minimum number of operations: nums1[n - 1]
and nums2[n - 1]
are fixed.1 +
the number of indices that need to be swapped when nums1[n - 1]
and nums2[n - 1]
are swapped.-1
if there is no solution in either case."
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