Need to sort these 16 numbers according to the bitonic mergesort by hand. explained answers are...
Need to sort these 16 numbers according to the bitonic mergesort by hand. explained answers are appreciated
12 11 2 9 4 1 10 5 15 7 14 8 3 13 16 6
Homework Answers
Bitonic Merge Sort is Sorting technique based on Merge sort that works on Bitonic sequence.
A Bitonic Sequence is a sequence where half of the elements are in increasing order and half elements are in decreasing order.
To change the given 12 11 2 9 4 1 10 5 15 7 14 8 3 13 16 6 to a
Bitonic sequence we perform transformation .
The 1st + operator when applied on 2 elements,IF 1st element is smaller than the 2nd element than the position remains the same ,otherwise the position is exchanged.
The 2nd - operator when applied on 2 elements. IF 1st element is larger than the 2nd element then no change in position,otherwise if 1st element is smaller it will exchange place with 2nd element,
we get the following Bitonic Sequence after transformation
1 2 4 5 9 10 11 12 16 15 14 13 8 7 6 3
We then apply the Bitonic Merge Sort on this bitonic sequence
Since there are 16 elements the, IT sorts elements in group of 8 (16/2),
Then by in those to 8 element groups sorting takes place in group of 4 elements
Then the elements are sorted in group of 4 .And lastly in Group of 2 .
This Gives us the Full Sorted List using Bitonic Merge Sort.
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