Show that if d(n) is O( (n)) and e(n) is O(g(n)), then d(n) +e(n) is O(
Question:
Show that if d(n) is O( ∫ (n)) and e(n) is O(g(n)), then d(n) +e(n) is O( ∫ (n)+g(n)).
Transcribed Image Text:
Algorithm Ex1(A): Input: An array A storing n ≥ 1 integers. Output: The sum of the elements in A. S← A[0] for i 1 to n - 1 do s+s+A[i] return s Algorithm Ex2(A): Input: An array A storing n> 1 integers. Output: The sum of the elements at even cells in A. S← A[0] for i 2 to n-1 by increments of 2 do s+s+A[i] return s Algorithm Ex3(A): Input: An array A storing n ≥ 1 integers. Output: The sum of the prefix sums in A. -0 S← for i 0 to n-1 do s+S+A[0] for j1 to i do s+s+A[j]
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
Solution We can do this because dn en is defined from 0 through n Also in the special c...View the full answer
Answered By
Labindao Antoque
I graduated in 2018 with a Bachelor of Science degree in Psychology from Dalubhasaan ng Lungsod ng San Pablo. I tutored students in classes and out of classes. I use a variety of strategies to tutor students that include: lecture, discussions about the subject matter, problem solving examples using the principles of the subject matter being discussed in class , homework assignments that are directed towards reinforcing what we learn in class , and detailed practice problems help students to master a concept. I also do thorough research on Internet resources or textbooks so that I know what students need to learn in order to master what is being taught in class .
0.00
0 Reviews
10+ Question Solved
Related Book For
Data Structures And Algorithms In C++
ISBN: 9780470383278
2nd Edition
Authors: Michael T. Goodrich, Roberto Tamassia, David M. Mount
Question Posted:
Students also viewed these Computer science questions
-
Show that if D is an n à n diagonal matrix, then ll D112 = max (ldil)
-
Show that if d is positive and b > 1, then nd is O(bn) but bn is not O(nd).
-
(a) Show that if D is a diagonal matrix with nonnegative entries on the main diagonal, then there is a matrix S such that S2 = D. (b) Show that if A is a diagonalizable matrix with nonnegative...
-
a1a2 (d) Suppose a Cobb Douglass production function with two inputs and exponents inside the production function y = xx22 that are less than one. Derive the profit maximizing choices of x1, x2, andy...
-
Will It Blend? Story. How do the videos create earned media? Are there any other things the company could do to engage users to create more earned media?
-
An air bubble of volume 20 cm3 is at the bottom of a lake 40 m deep, where the temperature is 4.0oC. The bubble rises to the surface, which is at a temperature of 20oC.Take the temperature of the...
-
Implementation plays a critical part in environmental management.Why might environmental management fail at the implementation stage? Can these reasons for failure be corrected or avoided?
-
Lloyd Industries manufactures electrical equipment from specifications received from customers. Job X10 was for 1,000 motors to be used in a specially designed electrical complex. The following costs...
-
The microchip shortage that is blocking the production of Cellphones will extend into 2022. You need to set up an inventory ordering system for a Copper wafer based on the following data (assume a...
-
Ming, CPA, is engaged to audit the financial statements of Wellington Sales, Inc., for the year ended December 31, 20X0. Ming obtained and documented an understanding of the clients business and...
-
For each function (n) and time t in the following table, determine the largest size n of a problem P that can be solved in time t if the algorithm for solving P takes (n) microseconds (one entry is...
-
Graph the functions 8n, 4nlog n, 2n 2 , n 3 , and 2 n using a logarithmic scale for the x- and y-axes. That is, if the function is (n) is y, plot this as a point with x-coordinate at logn and...
-
A company has discovered that a recent batch of batteries had manufacturing flaws, and has issued a recall. You have 10 batteries covered by the recall, and 3 are dead. You choose 2 batteries at...
-
Mr. Rafael is a sole trade who maintain his non-current asset at cost. On 31 December 2020, he owned the following non-current asset which had been depreciated on a yearly basis: Asset Lorry...
-
Please view the video and think through what these supply chains may look like if these technologies or practices become ubiquitous. Let me know your thoughts within 500 word limit in the context of...
-
Suppose you invest $2,600 into a savings account with a 4.25% annual interest rate that compounds interest quarterly. Determine the balance of the account after 5 years.
-
(10%) Problem 10: Consider the point charges arranged at the corners and at the center of a square, as depicted in the figure. qa 9b ad Find the magnitude of the net Coulomb force, in newtons, on the...
-
Explained one experience you had with with discrimination in your own life.
-
Work Problem 34, assuming that the angle is 75o rather than 90o.
-
The following T-accounts show postings of selected transactions. Indicate the journal used in recording each of these postings a through e. Cash Accounts Receivable Inventory (d) 500 (e) 300 (b)...
-
For the following C statement, write a minimal sequence of MIPS assembly instructions that does the identical operation. Assume $t1 = A, $t2 = B, and $s1 is the base address of C. A = C[0] < < 4;
-
Assume $t0 holds the value 0x00101000. What is the value of $t2 aft er the following instructions? $t2, $0, slt $t0 bne $t2, $0, ELSE DONE ELSE: addi $t2, $t2, 2 DONE:
-
Suppose the program counter (PC) is set to 0x2000 0000. Is it possible to use the jump (j) MIPS assembly instruction to set the PC to the address as 0x4000 0000? Is it possible to use the...
-
Suppose Stocks A, B and C are the only three component stocks in a benchmark index. The number of shares outstanding of Stocks A, B and C are 369,000 shares, 327,000 shares, and 240,000 shares,...
-
Botanists have determined that some species of weed grow in a circular pattern. For one such species, the area A , in square meters, can be approximated by A ( t ) = 0.004 t 2 , where t is the time...
-
Book Print ciences Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services, the company has always charged a flat fee per hundred square feet of...
Study smarter with the SolutionInn App