Question: Suppose you are given a sorted array, A, of n distinct integers in the range from 1 to n + 1, so there is exactly

Suppose you are given a sorted array, A, of n distinct integers in the range from 1 to n + 1, so there is exactly one integer in this range missing from A. Describe an O(log n)-time algorithm for finding the integer in this range that is not in A.

Step by Step Solution

★★★★★

3.37 Rating (172 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

We can use binary search to find the missing integer in Olog n time We can compare the midpo... View full answer

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 Data Structures Algorithms Questions!

Suppose you are given an integer c and an array, A, indexed from 1 to n, of n integers in the range from 1 to 5n (possibly with duplicates). Describe an efficient algorithm for determining if there...

Given an array, A, of n 2 unique integers in the range from 1 to n, describe an O(n)-time method for finding the two integers in the range from 1 to n that are not in A. You may use only O(1) space...

An array A contains n1 unique integers in the range [0,n1], that is, there is one number from this range that is not in A. Design an O(n)-time algorithm for finding that number. You are only allowed...

Question 2 . You are given a sorted array A of n distinct integers, drawn from 1 to m where A 1 , 2 , dots,mOAA 2 , 3 , 5 , 7 , 8 , 1 0 O ( n ) S n k n k S S n . That i s , A i s a subset o f 1 , 2 ,...

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...

Given an unsorted array A of n distinct integers and an integer k , you need to return the k smallest integers In the array in sorted order, where k may be any infeger between 1 and n . Suppose that...

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 algorithmdon't...

Suppose you are given a sorted array of n distinct positive integers. Then each one is arbitrarily incremented or decremented by a value between 0 and r for some positive integer r (that is a...

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...

Describe a dynamic programming algorithm to solve the problem of giving change optimally for all A. Analyze its runtime. Problem 5. Define the problem of giving change as follows: Given a sorted...

In a control chart, what would be the effect on the control limits if the sample size varied from one sample to the next?

List and describe the steps involved in laying the groundwork for a quality culture.

Panhandle of Nebraska Shipping has these account balances at December 31, 20252025: View the account balances. LOADING... Requirements Calculate Panhandle of Nebraska Shipping'sPanhandle of Nebraska...

1 List the core, expected and augmented product levels of a higher education. Do they differ from technical schools? How can a university change its product mix to better offer value to prospective...

Give a precise and complete definition of the concept of matching for grouping symbols in an arithmetic expression. Your definition may be recursive.

Give a recursive method for removing all the elements from a stack.

Implement a method with signature transfer(S, T) that transfers all elements from stack S onto stack T, so that the element that starts at the top of S is the first to be inserted onto T, and the...

You own a small networking startup. You have just received an offer to buy your firm from a large, publicly traded firm, JCH Systems. Under the terms of the offer, you will receive 1 million shares...

your company select and WHY? LBD is considering the purchase of a $225,000 new production line for manufacturing scarves. The line is classified as five-year MACRS. After four years (did you read...

1) At the age of 18, Andy makes a lump-sum investment of $22,000 in an account that compounds interest quarterly until he retires at the age shown in the tables below. Fill in the blanks showing how...