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n a sequence = [ 1 , 2 , . . . , ] of integers, an inversion is a pair of elements and where
n a sequence of integers, an inversion is a pair of elements and where
that is appears before in the sequence and For example, in the sequence
the pairs and are inversions.
An array with elements may have as many as
inversions. When the number of inversions, may be any value between and
the best
algorithm for counting inversions has running time log There also exists a
algorithm for counting inversions, which is when in
Your goal in this lab is to create two algorithms which count the number of inversions in an input
sequence:
Input: An array of integers in the range to
Output: An integer, corresponding to the number of inversions in
The first algorithm will have a log runtime and will be better for counting inversions
when The second algorithm will have runtime and will be better when
ie
Bonus:
Time permitting, you should try to implement them.
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