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Shown below is the code for the bubble sort consisting of two recursive methods that replace the two nested loops that would be used in

Shown below is the code for the bubble sort consisting of two recursive methods that replace the two nested loops that would be used in its iterative counterpart:

void bubbleSort(int array[])

{ sort(array, 0); }

void sort(int[] array, int i)

{

if (i < array.length - 1) { bubble(array, i, array.length - 1); sort(array, i + 1); }

}

void bubble(int[] array, int i, int j)

{

if (j <= i) return; if (array[j] < array[j - 1])

{ int temp = array[j]; array[j] = array[j - 1]; array[j - 1] = temp; } bubble(array, i, j - 1); }

Draw the recursion tree for bubbleSort when it is called for an array of length 4 with data that represents the worst case. Show the activations of bubbleSort, sort and bubble in the tree. Explain how the recursion tree would be different in the best case.

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