![4. (5 Points) The following is another merge sort top down implementation, what is the running time and space complexity for this implementation in big-0? Briefly explain your answer. public static 〈T extends Comparable〈 T> > void sort2(T[] a) { sort2(a, , a.length - 1); @Suppresswarnings (unchecked) private static <T extends Comparable<T>> void sort2(ΤΠ a, intlo, int hi) { if (hi (z lo) return; T[] aux- (TLD new comparable[a,length]; int mid- (10 + hi) / 2; sort2 (a, lo, mid); // Sort left half sort2(a, mid + 1, hi); /I Sort right half merge (a, lo, mid, hi, aux);](http://img.homeworklib.com/questions/bca1f530-a9d7-11ea-b939-c14bb1f2e588.png?x-oss-process=image/resize,w_560)
Answers
Int mid = (lo + hi)/2: sort 2 (a, lo, mid): rightarrow T(n/2) sort 2(a, mid + 1, hi): rightarrow T(n/2) merge (a, lo, mid, hi, aux): rightarrow O(n) merge () fin c tales O(n) (linear time complexity) so, Recurrence Relation for sort z fun� will be T(n) = T(n/2) + T(n/2) + O(n) T(n) = 2T (n/2) + O_c (n) According to masters theorem a = 2, b = 2 n log^a_b = n log^2_2 = n O(n log v a) = O So, T(n) = O(n + log n) space axillary array of length of array so, if array length is n then Extra space used is O(n). (Merge sort is not in-place algorithm)
.
Similar Solved Questions
1 answer
Review the Unit 9 Assignment requirements and respond to the following questions: State your chosen topic....
Review the Unit 9 Assignment requirements and respond to the following questions: State your chosen topic. What is one specific legal issue related to your chosen topic? What is one specific ethical issues related to your chosen topic? Share a court case related to your chosen topic. Why did you ch...
1 answer
1. Francis Scott Key was inspired to write "The Star Spangled Banner" by the  
1. Francis Scott Key was inspired to write "The Star Spangled Banner" by the ...
1 answer
A chemical reaction takes place inside a flask submerged in a water bath. The water bath...
A chemical reaction takes place inside a flask submerged in a water bath. The water bath contains 6.50 kg of water at 35.3 °C. During the reaction 83.0 kJ of heat flows out of the flask and into the bath. Calculate the new temperature of the water bath. You can assume the specific heat capacity ...
1 answer
Question 3 2 pts lonization energy as you move down a column (top to bottom) and...
Question 3 2 pts lonization energy as you move down a column (top to bottom) and move across a period (left to right). _ as you increases; increases decreases; decreases increases; decreases decreases; increases...
1 answer
A point charge q0 moves from point A to B in a semicircular path of diameter...
A point charge q0 moves from point A to B in a semicircular path of diameter 2a, then to point C in a semicircular path of diameter a, and finally to point D in a circular path of radius a/2, as shown. Point A is at a distance 6a apart from infinitely long wire having linear charge density 2. All ci...
1 answer
Which data set has a larger standard deviation? First Data Set: 2, 4, 6, 8 Second Data Set: 12, 12, 12, 12
Which data set has a larger standard deviation? First Data Set: 2, 4, 6, 8 Second Data Set: 12, 12, 12, 12...
1 answer
A limited number of War of 1504 uniforms have been preserved. No matter how much buyers...
A limited number of War of 1504 uniforms have been preserved. No matter how much buyers are willing to pay for these uniforms as collectors items, there's no way to increase the quantity of uniforms in existence. Show the supply curve for authentic War of 1504 uniforms....
1 answer
Please show how to do What is the Macaulay's duration of a bond witha par value...
please show how to do What is the Macaulay's duration of a bond witha par value of $10,000 that has a coupon rate of 6.5 percent annually and a final maturity of two years? Assume that the required rate of return is 4 percent compounded semiannually. 4. a. 1.949 years b. 1.910 years 1.876 yea...
1 answer
Please answer all.... Thank you! 81)If a polypeptide chain contains 600 amino acids, then the gene...
Please answer all.... Thank you! 81)If a polypeptide chain contains 600 amino acids, then the gene coding for this polypeptide must contain _____. 600 nucleotides 1200 nucleotides 1800 nucleotides 1800 codons 1800 anticodons More than one of the above are correct. ...
1 answer
Collyer Products Inc. has a Valve Division that manufactures and sells a standard valve as follows:...
Collyer Products Inc. has a Valve Division that manufactures and sells a standard valve as follows: Capacity in units 230,000 Selling price to outside customers on the intermediate market $ 16 Variable costs per unit $ 10&nbs...
1 answer
2. Hand-draw a h IR 3500 3000 2500 2000 1500 1000 500 3. In Exp. 5...
2. Hand-draw a h IR 3500 3000 2500 2000 1500 1000 500 3. In Exp. 5 you will be analyzing the reaction product, isopentyl acetate, by gas chromatography, NMR spectroscopy, and IR spectroscopy. Look up the structure of this compound, and the starting material, and explain as many points of IR spectral...
1 answer
Q.1 (25 Pt.): Simulate the following circuit used for sensors with differential outputs. You may use...
Q.1 (25 Pt.): Simulate the following circuit used for sensors with differential outputs. You may use DC or sine-wave signals to demonstrate the behavior. You are to use PSIM (demo version should be more than enough.) R can be of any value, e.g., 1 k 2. V R R • Vout R R ww V2...
1 answer
Constants Periodic Table Each conductor in the figure carries current I into or out of the...
Constants Periodic Table Each conductor in the figure carries current I into or out of the page. For the path given in the figure the line integral is $ B.ds = 2.7 x 10-6T.m. Part A (Figure 1) What is the value of the current through each wire? Express your answer using three significant figures. VA...
1 answer
(1 point) -5 -2 -1 -2 2 Let y = Vi = V2 2 4 3...
(1 point) -5 -2 -1 -2 2 Let y = Vi = V2 2 4 3 -6 1 -18 Compute the distance d from y to the subspace of R4 spanned by vi and v2. d...
1 answer
63. In typical cell, which of the following has the highest electrochemical potential for movement? A....
63. In typical cell, which of the following has the highest electrochemical potential for movement? A. the electrochemical potential for Na to move into the cell B. the electrochemical potential for Na to move out of the cell C. the electrochemical potential for K to move into the cell D. the electr...