Answer the given question with a proper explanation and step-by-step solution. 3. 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; return sum(array, first, mid) + sum(array, mid + 1, last); } Determine a formula that counts the numbers of nodes in the recursion tree. What is the Big- for execution time? Determine a formula that expresses the height of the tree. What is the Big- for memory? Write an iterative solution for this same problem and compare its efficiency with this recursive solution. 4. Using the recursive method in problem 3 and assuming 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. Please answer both of those questions asap.
Answer the given question with a proper explanation and step-by-step solution.
3. 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;
return sum(array, first, mid) + sum(array, mid + 1, last);
}
Determine a formula that counts the numbers of nodes in the recursion tree.
What is the Big- for execution time?
Determine a formula that expresses the height of the tree.
What is the Big- for memory?
Write an iterative solution for this same problem and compare its efficiency with this recursive solution.
4. Using the recursive method in problem 3 and assuming 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
Please answer both of those questions asap.
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