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GATE | GATE-CS-2005 | Question 39

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  • Last Updated : 19 Feb, 2021
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Suppose there are ⌈ log n ⌉ sorted lists of ⌊ n/log n ⌋ elements each. The time complexity of producing a sorted list of all these elements is :
(Hint : Use a heap data structure)
(A) O(n log log n)
(B) θ(n log n)
(C) Ω(n log n)
(D) Ω(n3/2)

Answer: (A)

Explanation: We can merge x arrays of each size y in in O(xy*Logy) time using Min Heap.

x = Logn
y = n/Logn

We get O(n/Logn * Logn * Log Log n) which is O(nLogLogn)

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