Computers and Technology, 21.12.2019 03:31 22katelynfrankouqqrb
Recall the problem of finding the number of inversions. as in the text, we are given a sequence of numbers a1, . . , an, which we assume are all distinct, and we define an inversion to be a pair i < j such that aj < ai . we motivated the problem of counting inversions as a good measure of how different two orderings are. however, one might feel that this measure is too sensitive. lets call a pair a significant inversion if i < j and 2aj < ai .
(a) describe a o(n log n) algorithm to count the number of significant inversions between two orderings. make clear how is it that your algorithm would achieve the given o(n log n) execution time bound.
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Recall the problem of finding the number of inversions. as in the text, we are given a sequence of n...
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