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There are n unsorted arrays: A1 , A2 ,....., An . Assume that n is odd. Each of A1 , A2 ,....., An contains n distinct elements. There are no common elements between any two arrays. The worst-case time complexity of computing the median of the medians of A1 , A2 ,....., An is
  • a)
    O(n)
  • b)
    O(n log n)
  • c)
    O(n2)
  • d)
    Ω(n2 logn)
Correct answer is option 'C'. Can you explain this answer?
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There are n unsorted arrays: A1 , A2 ,....., An . Assume that n is odd...
Median of an array can be determine in linear time.
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Most Upvoted Answer
There are n unsorted arrays: A1 , A2 ,....., An . Assume that n is odd...
O(n log n)

Explanation:

To compute the median of medians, we need to first select the median element from each of the n arrays. This can be done in O(n) time complexity by using the selection algorithm to find the median of each array.

Once we have the n medians, we can again use the selection algorithm to find the median of these n medians. This step has a time complexity of O(n log n) as we need to partition the medians into two groups based on their rank and recurse on the appropriate group.

Therefore, the worst-case time complexity of computing the median of medians of n unsorted arrays is O(n log n).
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There are n unsorted arrays: A1 , A2 ,....., An . Assume that n is odd. Each of A1 , A2 ,....., An contains n distinct elements. There are no common elements between any two arrays. The worst-case time complexity of computing the median of the medians of A1 , A2 ,....., An isa)O(n)b)O(n log n)c)O(n2)d)Ω(n2 logn)Correct answer is option 'C'. Can you explain this answer?
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There are n unsorted arrays: A1 , A2 ,....., An . Assume that n is odd. Each of A1 , A2 ,....., An contains n distinct elements. There are no common elements between any two arrays. The worst-case time complexity of computing the median of the medians of A1 , A2 ,....., An isa)O(n)b)O(n log n)c)O(n2)d)Ω(n2 logn)Correct answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about There are n unsorted arrays: A1 , A2 ,....., An . Assume that n is odd. Each of A1 , A2 ,....., An contains n distinct elements. There are no common elements between any two arrays. The worst-case time complexity of computing the median of the medians of A1 , A2 ,....., An isa)O(n)b)O(n log n)c)O(n2)d)Ω(n2 logn)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are n unsorted arrays: A1 , A2 ,....., An . Assume that n is odd. Each of A1 , A2 ,....., An contains n distinct elements. There are no common elements between any two arrays. The worst-case time complexity of computing the median of the medians of A1 , A2 ,....., An isa)O(n)b)O(n log n)c)O(n2)d)Ω(n2 logn)Correct answer is option 'C'. Can you explain this answer?.
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