Question: . Listthefiveinversionsofthearrayh 2 ; 3 ; 8 ; 6 ; 1 i . 4 2 Chapter 2 Getting Started b . What array with elements

. Listthefiveinversionsofthearrayh2;3;8;6;1i.
42 Chapter 2 Getting Started
b. What array with elements from the set f1; 2; : : : ; ng has the most inversions? How many does it have?
c. What is the relationship between the running time of insertion sort and the number of inversions in the input array? Justify your answer.
d. Give an algorithm that determines the number of inversions in any permutation on n elements in .n lg n/ worst-case time. (Hint: Modify merge sort.)

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