An arithmetic array is one whose elements form an arithmetic sequence, in order - i.e., they're...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
An arithmetic array is one whose elements form an arithmetic sequence, in order - i.e., they're arrays of the form A [a, a +c, a + 2c,..., a + (n - - 1)c], where A has length n (for n 2). You're given an arithmetic array with one element missing from somewhere in the middle (i.e., it's not the first or last element that's been removed). For example, the missing number in [3, 6, 12, 15, 18] is 9. The missing number in [1, 15, 22, 29, 36] is 8. 1. Describe a way to calculate e in constant time. 2. Design an algorithm to efficiently find the missing number in the array. 3. Briefly justify a good asymptotic runtime of your algorithm. An arithmetic array is one whose elements form an arithmetic sequence, in order - i.e., they're arrays of the form A [a, a +c, a + 2c,..., a + (n - - 1)c], where A has length n (for n 2). You're given an arithmetic array with one element missing from somewhere in the middle (i.e., it's not the first or last element that's been removed). For example, the missing number in [3, 6, 12, 15, 18] is 9. The missing number in [1, 15, 22, 29, 36] is 8. 1. Describe a way to calculate e in constant time. 2. Design an algorithm to efficiently find the missing number in the array. 3. Briefly justify a good asymptotic runtime of your algorithm.
Expert Answer:
Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Posted Date:
Students also viewed these programming questions
-
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
-
can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...
-
Write Python code that prompts the user to enter his or her age and assigns the users input to an integer variable named age.
-
If a ball is drawn, what is the probability that it is (a) White and odd-numbered? (b) White or odd-numbered? (c) White or even-numbered? A bag contains 5 red balls numbered 1, 2, 3, 4, 5 and 9 white...
-
Calculate the magnetic force of attraction between the northern and southern hemispheres of a spinning charged spherical shell (Ex. 5.11).
-
Two plates are at temperatures of \(T_{1}\) and \(T_{2}\) and a chemical reaction is producing heat at a constant rate within the system. Derive a model to predict the temperature distribution within...
-
Casey Fisher and Logan Baylor formed a partnership in which the partnership agreement provided for salary allowances of $40,000 and $35,000, respectively. Determine the division of a $20,000 net loss...
-
Royal Lawncare Company produces and sells two packaged products-Weedban and Greengrow. Revenue and cost information relating to the products follow. Selling price per unit Variable expenses per unit...
-
Garvey Company sells machine parts to industrial equipment manufacturers for an average price of $0.75 per part. There are two types of customers: those who place small, frequent orders and those who...
-
Firm B's expected earnings per share next year are $2.30. In the last ten years, its div-idend payout rate was, on average, 70%, and its growth rate of dividends per share was, on average, 3% per...
-
A device is connected to a \(60.0-\mathrm{Hz} \mathrm{AC}\) source for which the emf is given by \(\mathscr{E}=\mathscr{E}_{\max } \sin (\omega t)\). If after \(5.00 \mathrm{~ms}\) the current is...
-
A resistor for which \(R=60.0 \Omega\) is connected to an \(\mathrm{AC}\) source. The source emf is given by \(\mathscr{E}=\mathscr{E}_{\max } \sin \left(\omega t+\phi_{i} ight)\), where...
-
You have ordered a \(10.00 \mathrm{~mm} \times 10. 00 \mathrm{~mm} \times 2. 000 \mathrm{~mm}\) sheet of pure silicon from a laboratory supply company, but the sheet the company sends has a mass of...
-
You have an intrinsic semiconductor, a \(p\)-type semiconductor, and an \(n\)-type semiconductor. The doped samples each contain the same number density of dopant atoms. Which of the three...
-
What is the reactance of a \(50.0-\mathrm{mH}\) inductor when connected to an \(\mathrm{AC}\) current source that has a frequency of \(120 \mathrm{~Hz}\) ?
-
XXX Company stocks part AA at its warehouse for supplying field service offices. The yearly demand for these parts is 2600 units. XXX Company estimates its annual holding cost for this item to be $...
-
Q:1 Take any product or service offered in Pakistan and apply all determinents of customer Perceived value ?
-
Let A, B U. Prove that (a) (A B) (B A) = (A B) (A B); and (b) (A B) (B A) (A B) (A B).
-
Determine how many integer solutions there are to x1 + x2 + x3 + x4 = 19, if (a) 0 x1 for all 1 i 4 (b) 0 x1 < 8 for all 1 i 4 (c) 0 x1 5, 0 x2 6, 3 x3 7, 3 x4 8
-
If A = {1, 2, 3, 4}, B = {2, 5}, and C = {3, 4, 7}, determine A B; (B A); A U (B C); (A B) C; (A C) U (B C).
-
A large building has a roof with dimensions $50 \mathrm{ft} \times 200 \mathrm{ft}$, which drains into a gutter system. The gutter contains three drawn aluminum downspouts that have a square cross...
-
A drainage canal is to be dug to keep a low-lying area from flooding during heavy rains. The canal would carry the water to a river that is 1 mile away and $6 \mathrm{ft}$ lower in elevation. The...
-
Oil with a viscosity of $25 \mathrm{cP}$ and $\mathrm{SG}$ of 0.78 is stored in a large open tank. A vertical tube made of stainless steel with an ID of $1 \mathrm{in}$. and a length of $6...
Study smarter with the SolutionInn App