One measure of "unsortedness" in a sequence is the number of pairs of entries that are out of order with respect to each other. For instance, in the letter sequence "DAABEC", this measure is 5, since D is greater than four letters to its right and E is greater than one letter to its right. This measure is called the number of inversions in the sequence. The sequence "AACEDGG" has only one inversion (E and D) – it is nearly sorted – while the sequence "ZWQM" has 6 inversions. Formally speaking, t
One measure of "unsortedness" in a sequence is the number of pairs o…
Apr 17, 2023
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