{ "data": { "question": { "questionId": "3228", "questionFrontendId": "3002", "boundTopicId": null, "title": "Maximum Size of a Set After Removals", "titleSlug": "maximum-size-of-a-set-after-removals", "content": "
You are given two 0-indexed integer arrays nums1
and nums2
of even length n
.
You must remove n / 2
elements from nums1
and n / 2
elements from nums2
. After the removals, you insert the remaining elements of nums1
and nums2
into a set s
.
Return the maximum possible size of the set s
.
\n
Example 1:
\n\n\nInput: nums1 = [1,2,1,2], nums2 = [1,1,1,1]\nOutput: 2\nExplanation: We remove two occurences of 1 from nums1 and nums2. After the removals, the arrays become equal to nums1 = [2,2] and nums2 = [1,1]. Therefore, s = {1,2}.\nIt can be shown that 2 is the maximum possible size of the set s after the removals.\n\n\n
Example 2:
\n\n\nInput: nums1 = [1,2,3,4,5,6], nums2 = [2,3,2,3,2,3]\nOutput: 5\nExplanation: We remove 2, 3, and 6 from nums1, as well as 2 and two occurrences of 3 from nums2. After the removals, the arrays become equal to nums1 = [1,4,5] and nums2 = [2,3,2]. Therefore, s = {1,2,3,4,5}.\nIt can be shown that 5 is the maximum possible size of the set s after the removals.\n\n\n
Example 3:
\n\n\nInput: nums1 = [1,1,2,2,3,3], nums2 = [4,4,5,5,6,6]\nOutput: 6\nExplanation: We remove 1, 2, and 3 from nums1, as well as 4, 5, and 6 from nums2. After the removals, the arrays become equal to nums1 = [1,2,3] and nums2 = [4,5,6]. Therefore, s = {1,2,3,4,5,6}.\nIt can be shown that 6 is the maximum possible size of the set s after the removals.\n\n\n
\n
Constraints:
\n\nn == nums1.length == nums2.length
1 <= n <= 2 * 104
n
is even.1 <= nums1[i], nums2[i] <= 109
n / 2
elements from each array is the same as keeping n / 2 elements in each array.",
"Think of a greedy algorithm.",
"For each array, we will greedily keep the elements that are only in that array. Once we run out of such elements, we will keep the elements that are common to both arrays."
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"sampleTestCase": "[1,2,1,2]\n[1,1,1,1]",
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