Question: Give an efficient solution to determine if there exists an integer i such that A i = i in an array of integers A 1

Give an efficient solution to determine if there exists an integer i such that A_i = i in an array of integers A₁ < A₂ < A₃ < .....< A_n .

The naive and basic approach is to do the sequential search. Sequentially look at every item in the array and find whether there is a match for A[i] = i for any index i. The worst-case runtime of this algorithm is O(N), N being the size of input.

Please Note that, the array is sorted in ascending order. Can you find a better (more efficient than O(N)) solution to this problem?

Write down the better algorithm (in Pseudocode) and show the worst case and best case run time (using big-oh notation) of the algorithm

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

1. The two Java functions below each return a string of length N whose characters are all x. Determine the order of growth of the running time of each, e.g., log N, N, N log N, N^2, N^3, or 2^N. Give...

2. In this exercise, you will develop a quadratic-time algorithm for the 3-sum problem. When we ask you to design an algorithm, give a crisp and concise English description of your algorithm-don't...

Give an efficient algorithm to determine if there exists an integer i such that Ai = I in an array of integers A1

Implement this function in a functioning C++ program: 2.15 Give an efficient algorithm to determine if there exists an integer i such that Ai = i in an array of integers A1

6. Give an efficient algorithm to determine if there exists an integer i such that = in an array of N distinct integers, sorted in ascending order. What is the running time of given algorithm? (8...

Give an efficient algorithm to determine if there exists an integer i such that A i in an array of N distinct integers, sorted in ascending order. What is the running time of given algorithm

2 . 1 5 Give an efficient algorithm to determine if there exists an integer i such that A i = i in an array of integers A 1 . What i s the running time o f your algorithm?

2.15 Give an efficient algorithm to determine if there exists an integer i such that A in an array of integers Ai

College of San Mateo Computer & Information Systems Fall 2016 CIS 256: Data Structures (Thursday) Before Class General Instructions: Use printer paper (A4) for your answer sheets. Use blue or black...

Problem 1 (3SUM) 3SUM: Given n integers, are there elements a, b, c among these integers such that a+b+c= O? Formulate a BIP problem, and explain how you give a "yes" or "no" answer to the question...

(a) In the presence of dilute hydrochloric acid, compound A is converted to a constitutional isomer, compound B.

Why do you need to know the sampling distribution of the difference between two sample means in order to perform a hypothesis test to compare two population means?

True False Firm S is financed with 2 0 percent debt and 8 0 percent common equity. Firm T is financed with 7 0 percent debt and 3 0 percent common equity. Both firms operate in the same industry. The...

When are liabilities recorded under the accrual basis of accounting? At the end of the quarter When paid When incurred When the bank accounts are reconciled

12. Explain how training relates to attracting new employees, employee retention, and motivation.

11. How has new technology improved training and development? What are some of the limitations of using iPods or PDAs for training?

10. What are the implications of the aging work force? What strategies should companies consider from a training and development perspective to best utilize older employees and prepare for their...