Question
1. (a) Determine the number of inversions of the sequence 5,3,9,2,1,0,8,4,6,7 with respect to the sequence 0; 1; 2; : : : 9 (b) What
1. (a) Determine the number of inversions of the sequence 5,3,9,2,1,0,8,4,6,7 with respect to the sequence 0; 1; 2; : : : 9 (b) What would be the last number of inversions returned from our modified merge function? (c) Assume we have a list of n items. Determine a relationship between the number of inversions with respect to the ascending sorted list and the number of inversions with respect to the descending sorted list.
2. Consider the following recurrence relation: T(1) = a T(n) = 3T(n - 1) - 2 (a) Determine a closed form expression for T(n) (b) Assuming a > 0, what are the possible big-Oh classes for T(n)?
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