1. A binary search of a sorted array with 3 unique elements where the search is...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. A binary search of a sorted array with 3 unique elements where the search is always successful can be viewed as an array with each element having a probability of being selected = 1/3 and the number of comparisons a binary search requires to find the element is shown inside the array. 2 1 Then the average number of comparisons would be A(3) = (1/3) [2 + 1 + 2] = 5/3 You will find the A(15) for an array with 15 elements for the same binary search algorithm. (a) Draw the 15-element array showing the number of comparisons needed to find each element. (b) Determine A(15) A(n) 2 2k-1): (c) In class, our formula for A(n) for binary search was developed to be (where n = k ;2- i=1 (k-1)2* +1 2-1 2-1 Plug your problem where n = 15 into the formula and show that it equals your answer = i-1 = (lg(n+1)1)(n+1)+1 n (d) Simplify the A(n) final answer I provided in (c) for very large values of n. 1. A binary search of a sorted array with 3 unique elements where the search is always successful can be viewed as an array with each element having a probability of being selected = 1/3 and the number of comparisons a binary search requires to find the element is shown inside the array. 2 1 Then the average number of comparisons would be A(3) = (1/3) [2 + 1 + 2] = 5/3 You will find the A(15) for an array with 15 elements for the same binary search algorithm. (a) Draw the 15-element array showing the number of comparisons needed to find each element. (b) Determine A(15) A(n) 2 2k-1): (c) In class, our formula for A(n) for binary search was developed to be (where n = k ;2- i=1 (k-1)2* +1 2-1 2-1 Plug your problem where n = 15 into the formula and show that it equals your answer = i-1 = (lg(n+1)1)(n+1)+1 n (d) Simplify the A(n) final answer I provided in (c) for very large values of n.
Expert Answer:
Answer rating: 100% (QA)
a The 15element array showing the number of comparisons needed to find each element in a successful ... View the full answer
Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
Posted Date:
Students also viewed these programming questions
-
Mr X's daughter just turned eight. He plans to save for her college education by making equal annual deposits in an investment account earning 7.5% compounded semi annually. After his daughter turns...
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
The truss shown has pulleys attached at joints D and E, with a 20 kn weight attached to the end of the cable that is supported at an external support at K. Determine: a) The forces applied to joints...
-
Would individual mandates for health insurance be more or less burdensome to the poor than employer mandates? Would lower-income groups be wise to favor one plan over the other?
-
A circular loop of wire of radius r is in a uniform magnetic field, with the plane of the loop perpendicular to the direction of the field (Fig. P31.59). The magnetic field varies with time according...
-
For a steady-flow process at approximately atmospheric pressure, what is the entropy change of the gas: (a) When 10 mol of SO2 is heated from 200 to 1.100oC? (b) W hen 12 mol of propane is heated...
-
Coola Vents Ltd has prepared a fixed budget performance report for the year ended 30 June 2025 as follows. Required (a) Convert the fixed budget performance report prepared by Coola Vents Ltd to a...
-
Steven Corporation has been authorized to issue 40,000 shares of $100 par value, 8%, noncumulative preferred stock and 2,000,000 shares of no-par common stock . The corporation assigned a $5 stated...
-
Using the pipework isometric drawing in Figure 6. list the number of welds of each type and size required; create a list of cut lengths for each pipe (neglect weld size and spacing); and . determine...
-
The beginning inventory at Midnight Supplies and data on purchases and sales for a three month period ending March 31 are as follows: Date Transaction Number of Units Per Unit Total Jan. 1 Inventory...
-
"What size of government is appropriate for America, and what are the economic effects the government will have on business?"
-
Luke Dwyer and Sue Mayes met when they were both crewing on a yacht in a round-the-world sailing race. They married, started a software business on a shoe- string, came up with several innovative...
-
What are the molecular mechanisms underlying mitochondrial fission and fusion dynamics, and how do alterations in these processes impact organelle morphology, distribution, and function?
-
1) The cost of childcare in a community is normally distributed with families paying an average of $200 per week with a standard deviation of $50. (a) What childcare cost is ranked 20th percentile?...
-
Which of the demand determinants is relevant to your decision-making when purchasing something?
-
Given the following information, compute price/earning value. Book value of assets = $550,000 Total sales per share= $261 Earning per share = $28 Dividend payout ratio = 30% Operating cash flow =...
-
Kenzie purchases a small popcorn for $3.25 and one ticket for $6.50 each time she goes to the movie theater. Write an equation that will find how many times she can visit the movie theater for $25.
-
Refrigerant-134a enters an adiabatic compressor as saturated vapor at 120 kPa at a rate of 0.3 m3/min and exits at 1-MPa pressure. If the isentropic efficiency of the compressor is 80 percent,...
-
Derive a point-value representation for A rev (x) = n 1 j = 0 a n - 1 j x j from a point value representation for A(x) = A (x) = n 1 j = 0 a j x j , assuming that none of the points is 0.
-
Suppose that w(u, ) 0 for all edges (u, ) E. What is the relationship between the weight functions w and w?
-
Argue that for any constant 0 < 1/2, the probability is approximately 1 - 2 that on a random input array, PARTITION produces a split more balanced than 1 to .
-
What methods can a company use to raise capital?
-
Does higher expected inflation increase, decrease, or have no effect on the required rate of return?
-
You have been asked to consult for an entrepreneur who is assembling investors for a new professional sport league. A critical decision for the league will be whether to organize under a...
Study smarter with the SolutionInn App