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Cormen Edition 3 Exercise 2.4 Question 4 (Page No. 42)
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Give an algorithm that determines the number of inversions in any permutation on $n$ elements in $\Theta (n\ lg\ n)$ worst-case time. (Hint: Modify merge sort.)
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Cormen Edition 3 Exercise 2.4 Question 3 (Page No. 42)
What is the relationship between the running time of insertion sort and the number of inversions in the input array? Justify your answer.
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Cormen Edition 3 Exercise 2.4 Question 2 (Page No. 42)
What array with elements from the set $\{1,2,\dots n\}$ has the most inversions? How many does it have?
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Jun 26, 2019
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Cormen Edition 3 Exercise 2.4 Question 1 (Page No. 41)
List the five inversions of the array $\langle 2,3,8,6,1\rangle$
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Jun 26, 2019
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Cormen Edition 3 Exercise 2.3 Question 7 (Page No. 39)
Describe a $\Theta(n\ lg\ n)$ time algorithm that, given a set $S$ of $n$ integers and another integer $x$, determines whether or not there exist two elements in $S$ whose sum is exactly $x$.
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