1. Given three arrays of N names each, describe an O(nlogn) algorithm to determine if there...

1. Given three arrays of N names each, describe an O(nlogn) algorithm

to determine if there is any name common to all three arrays, and if so, return the first such name.?

2. Given an input array with all equal values, compare the following sorting algorithm using big-O notation.

	Running Time	Space Complexity
Merge Sort
Quick Sort
Heap Sort

Expert Solution

The following algorithm takes O(NlogN) in sorting and O(N +N +N) in finding the intersection of three arrays. Thus the total running time is O(NlogN), taking the dominant term.

The solution for 2. part is below: Note: the answers depend heavily on the implementation of the sorting algorithms.

venereology answered 1 year ago

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