Recurrence Relation and Complexity Derivation and Pseudo Code - Computer Science Assignment Help

Assignment Task

For every subpart the following points are mandatory:

• Recurrence Relation and complexity derivation.
• What each variable stands for
• Pseudo Code
• Name of the algorithm used, and how the answers of subproblems are used to find the answer of the main problem. Also mention the subproblem which will give the final answer.

Question 1. Mickeymouse loves numbers in the range [m1, m2] (m1 and m2 included). Minnie decides to gift Mickey an array of numbers for his birthday. Mickey wants to find the number of pairs of indices [l, r] for which the sum of all the elements in the range [l, r] lies between m1 and m2.

1. Come up with an algorithm with a worst case complexity of O(N2 ).

2. Now improvise this algorithm, assuming all numbers are positive integers.

3. What if the numbers could be negative as well? Can you think of an O(nlogn) solution in this case?

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