An array A contains n numbers Design a data structure to support the following operations add(i,v) add the value v to the ith number partialSum(i) return the sum of the first i numbers Each operation should take O(log n) time The data structure should take at most O(n) space Explain how your data structure works, how each of the operations are realized, and how the running time and space meets the requirements

The Answer is in the image, click to view ...

Question: An array A contains n numbers. Design a data structure to support the following operations: add(i,v) - add the value v to the ith number

An array A contains n numbers. Design a data structure to support the following operations:

add(i,v) - add the value v to the ith number
partialSum(i) - return the sum of the first i numbers

Each operation should take O(log n) time. The data structure should take at most O(n) space. Explain how your data structure works, how each of the operations are realized, and how the running time and space meets the requirements.

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!

Suppose you are given n (key,value) pairs. Design a data structure to support the following operations: add(k,v) - add the value v to the element with key k partialSum(k) - return the sum of all of...

Answer in Java. RSA Public-Key Cryptosystem Overview. Write a program to implement the RSA public-key cryptosystem. The RSA (Rivest-Shamir-Adleman) cryptosystem is widely used for secure...

Let A[1..n] be an array of real numbers. Design a data structure to perform any sequence of the following operations: Add_At_Index(y, index) - Add the value y to the number at index....

A min-heap is useful when we are interested in the minimum value of a set of numbers. Now, instead of the min, we are interested in the K-th smallest value. a.) Please design a data structure to...

(i) Design BRUTE FORCE algorithms for the below given tasks. It is appreciated to keep your algos python/C++/Java free. (ii) Roughly calculate how many (loop ) iterations are being done in each given...

Java program: Screenshot your output Use the program provided below then write a similar program for this exercise. (We cannot use libraries to do this, everything must be coded) You should create 3...

Hello, this is for programming in C++ . Please please please please FOLLOW the assignment below. I have several errors and I just dont know how to do this, please oh please help. I included the...

Hello, this is for programming with the C++ language. Below is the assignment package. I included the default programs given with assignment at the bottom. I attempted this; however, like they say,...

Hello, this is for programming in C++ . Please follow the assignment below. I have several errors and I just dont know how to do this, please oh please help. I included the default programs that are...

Suppose a probability distribution has the shape of a semicircle. What is the radius of the semicircle?

Looking at figure in the chapter, when were the two largest falls in velocity? What do declines like this suggest about how velocity moves with the business cycle? Given the data in figure, is it...

1 7 Multiple Choice 4 points The City of Matlock issues $ 2 0 , 0 0 0 , 0 0 0 face value of general obligation bonds for $ 1 9 , 9 0 0 , 0 0 0 . The bonds will be used for the construction of new...

Discuss the policy statement concept and identify three focus areas / procedures where a clearpolicy statement / operating procedure

3. Behavior. Ask whether the trainees on-the-job behavior changed because of the training program. For example, are employees in the stores complaint department more courteous toward disgruntled...

Choose a well- known organisation (e. g. a retail company or a business with a high media profile) and collect as much information as you can about it: artefacts such as products; communications...

Choose one of the descriptive models (e. g. Harrison or Deal and Kennedy) and use it to analyse the culture of your organisation. 1 What are the main strengths and weaknesses of your organisational...