Question: Consider the following scenario and then develop an algorithm that uses divide and conquer to solve it (a) Suppose you have 9 coins and one

Consider the following scenario and then develop an algorithm that uses divide and conquer to solve it

(a) Suppose you have 9 coins and one of them is heavier than others. Other 8 coins weight equally. You are also given a balance. Develop and algorithm to determine the heavy coin using only two measurements with the help of the balance. Clearly write your algorithm in the form of a pseudocode using the similar notation that we have used in the class to represent sorting algorithms

(b) Now, suppose you have n coins and one of them is heavier. You can assume that n is a power of 3. Generalize the algorithm you have developed in part (a) above for this case. Clearly write your algorithm in the form of a pseudocode using the similar notation that we have used in the class to represent sorting algorithms Determine the running time of your algorithm? Clearly show how you have arrived at the solution.

Step by Step Solution

★★★★★

3.46 Rating (143 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Lets break down the problem and develop a divideandconquer algorithm for each part Part a 9 Coins Objective Identify the heavier coin using only two m... 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 Algorithms Questions!

Consider the following scenario and calculate beginning UCC, CCA, ending UCC, after-tax incremental cash flow, and CCA tax shield every year. Annual incremental cash flow includes the lost revenue of...

Consider the following scenario and answer the questions that follow: You have been consulted to advise on a new retail outlet selling upmarket mens clothing, targeting older, high income male...

Consider the following scenario (See text for the scenario): a. Provide a critique of the procedures used to support the claim that Sea Snapper's product is superior. Prepare it in a way that it...

Odd Coin Weighing Algorithm Consider the following scenario and then develop an algorithm to solve it. Suppose you have 9 coins and one of them is heavier than others. Other 8 coins weight equally....

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...

Explain informally the difference between Godel's completeness theorem and his first incompleteness theorem. [8 marks] (b) State the meaning of Hoare triples {P} C {Q} in separation logic. [3 marks]...

s1 educated (SSE) student for every three public school educated (PSE) students. Reasoning that students are not very dissimilar from threads, he suggests the following entry and exit routines be...

A creative engineer suggests structuring the TLB so that not all the bits of the presented address need match to result in a hit. Suggest how this might be achieved, and what might be the costs and...

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...

1 2.3 Definition of a Discrete Probability Function Definition: Let S be a discrete sample space from some experiment. A function P, defined on all events in S, is said to be a probability function...

Using the following information, compute total manufacturingoverhead. Indirect labor rate. Indirect materials rate. Utilities rate Property tax expense $133,600 $4.00 per unit $2.50 per unit $1.25...

A number of years ago, Lee acquired a 20% interest in the BlueSky Partnership for $60,000. The partnership was profitable through 2013, and Lee's amount at risk in the partnership interest was...

Barrez Chemicals manufoctures four chemical Chem 1 Chei 2 Chee 1 end Chem 4 fom spirt frocest The rote poin costs in My were \ 5 6 4 0 0 0 Addronal Fifortherien follows \ table [ [ Probect , units...

3.) On the next page is the result of a Beers' Law plot obtained in the lab. As can be seen, the Y-intercept is below zero, when Beer's Law indicates that it should be 0. Upon investigation, it was...

A large tank holds (400) gallons of brine solution with (50) pounds Q5: of salt. A concentration of (3 lb/gal) is pumped in the tank at the rate of ( 4gal/min) and the concentration is pumped out of...

2. Suppose X is a metric space with metric d. (a) Prove that d(r, y) 1+ d(x, y)' d'(r, y) 2, y e X is also a metric on X. (b) Show that d and d' are topologically equivalent in the sense that a set...

Question 3. Suppose that the random variable X is defined as X 0.6X1 +0.3X2 +0.1X3, where the probability distributions of the independent random variables X1, X2, and X3 are Ix, (=) = (:)0.1-0,9-,...

Calculate the average rate of change for f(x) = 4x2 + 4x from x to x + h.

During a period of high unemployment and low interest rate, which of the following would be the Keynesian prescription for curing the economy's ills? Oa. A government budget surplus accompanied by an...

What i need help with is making my test cases and adding comments, but here is the information for the code bellow: (in java) In this project we will consider the Maximum Subarray (or Largest Sum...

Computer Organization and Networks Practicals 2021/22 October 9, 2021 Computer Organization and Networks Practicals 2021/22 b68495714b Contents Contents 0 Introduction 3 0.1 Registration . . . . . ....

Python and most Python libraries are free to download or use, though many users use Python through a paid service. Paid services help IT organizations manage the risks associated with the use of...

Textbook, foundations-of-algorithms, Chapter 2, Exercise 43, coin weighting problem. Additional requirement: Show your solution for n=243 and assume #200 coin is the heavier one. ( I would perfer if...

Suppose we are given two sorted arrays (nondecreasing from index 1 to index n) X[1] ... X[n] and Y [1] ... Y[n] of integers. For simplicity, assume that n is a power of 2 (but, it is not needed in...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...