Sociological perspective on how to view the world.
October 18, 2020
The ability of diamond miners ability to dictate price and quantity to jewelry makers and sellers is an example of:
October 18, 2020

Draw the recursion tree when n = 8, where n represents the length of the array, for the following recursive method:

. Draw the recursion tree when n = 8, where n represents the length of the array, for the following recursive method:

int sum (int[] array, int first, int last) {

if (first == last)

return array[first];

int mid = (first + last) / 2;

ret urn sum ( array, first , mid) + sum( array , mid + 1, last);

}

 Determine a formula that counts the numbers of nodes in the recursion t ree.

 What is the B ig –  for execution time?

 Determine a formula that expresses the heig ht of the tree.

 What is the Big –  for memory?

 Write a iterative solution for this same problem and compare its efficiency with this recursive solution .

4. Using the recursive method in problem 3 and a ssuming n is the length of the array.

 Modify the recursion tree from the previous problem to show the amount of work on each activation and the row sums .

 Determine the initial conditions and recurrence equation.

 Determine the critical exponent.

 Apply the Little Master Theorem to solve that equation.

 Explain whether this algorithm optimal.  

 

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