A certain computer algorithm executes twice as many operations when it is run with an input of size k as when it is run with an input of size k - 1 (where k is an integer that is greater than 1). When the algorithm isrun with an input of size 1, it executes seven operations. How many operations does it execute when it is run with an input of size 23?For each integer n ≥ 1, let s - 1 be the number of operations the algorithm executes when it is run with an input of size n. Then so = 7Therefore, So, S1, S2 ... is a geometric sequencesize 23, the number of operations executed by the algorithm iswith constant multiplier22+, which is 2which equals 29360128and Sk. So, for every integer n ≥ 0, Sn==2S-1for each integer k ≥ 1.X. It follows that for an input of

Answered: Image /qna-images/answer/51d6d33f-2b5b-4596-8af3-fa43d5b9d8dc.jpg

Answered: A certain computer algorithm executes…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Needs Complete solution with 100 % accuracy. Otherwise skip if you can't give complete solution.thank you.
For the list [44, 18, 74, 61, 42, 31], how will the array elements look like after second pass (after i-2 but before i=3) of the Insertion sort algorithm? def insertionSort(a): for i in range(1,len(a)): currentvalue = a[i] position = i while position>0 and a[position-1]>currentvalue: a[position]=a[position-1] position = position-1 a[position]=currentvalue return a [18, 44, 74, 61, 42, 31] [18, 44, 61, 74, 42, 31] [18, 42, 44, 61, 74, 31] [18, 31, 42, 44, 61, 74]
2. integer. n is a non-negative Give a recursive algorithm for computing n(n+1), where
According to the Master Theorem, what is the run time of the algorithm described by the function T(n) - 4T () +e(nº")
Jump to level 1 Fill in the missing numbers of the sequence generated by Euclid's algorithm on inputs 58 and 10. gcd(58, 10) yields sequence: 58 10 Ex: 5 Ex: 5
4. [Ocean Weather] Information about ocean weather can be extracted from radar returns with the aid of a special algorithm. A study is conducted to estimate the difference in wind speed as measured on the ground and via the Seasat satellite. To do so, wind speeds (miles per hour) are measured on the ground and via the Seasat satellite simultaneously at 12 special times. The data is shown in the following table. The table also shows the difference between the wind speed on the ground and that via the Seasat satellite at each time, as well as some summary statistics. Difference Time Ground (x) Satellite (y) d= x – y 1 4.46 4.08 0.38 3.99 3.94 0.05 3 3.73 5.00 -1.27 4 3.29 5.20 -1.91 4.82 3.92 0.90 6 6.71 6.21 0.50 7 4.61 5.95 -1.34 8. 3.87 3.07 0.80 3.17 4.76 -1.59 10 4.42 3.25 1.17 11 3.76 4.89 -1.13 12 3.30 4.80 -1.50 d = -0.41 Sd = 1.14 It is claimed that the wind speed measured on the ground is lower than that measured via the Satellite on average. Set up your hypotheses to test this…
1. a. Find ged(31415, 14142) by applying Euclid's algorithm. b. Estimate how many times faster it will be to find ged(31415, 14142) by Euclid's algorithm compared with the algorithm based on checking con- secutive integers from min{m, n} down to gcd(m, n).
Solve in 15 min plz and take a thumb up plz
Express efficient algorithms clearly for the below problem. Also, explain the asymptotic behavior of the algorithm. Assume a list of building blocks. Each block is a cube with a given size, and has ontop, a list of all the other blocks that can be placed directly on top of it. You are also given a number k. Determine whether or not you can build a tower with block 0 at the bottom and block 1 at the top using no more than k blocks. If so, we want to know the height of the shortest such tower. Example: given 0: 8, ontop=2,3 1: 15, ontop=0 2: 11, ontop=1,3,4 3: 10, ontop=0,1,2 4: 7 ontop=1 if k were 2 the answer would be no. if k were 4 the answer would be yes, with height 33 (block0 then block3 then block1)
A student is tracing the following algorithm. The function INT gives the integer part of any number, eg INT(2.3) = 2 and INT (6.7) = 6. Line 10 Input A, B Line 20 Let C = INT(A ÷ B) Line 30 Let D = B × C Line 40 Let E = A – D Line 50 If E = 0 then go to line 90 Line 60 Let A = B Line 70 Let B = E Line 80 Go to line 20 Line 90 Print B Line 100 Stop Trace the algorithm in the case where the input values are: (a) (i) A = 36 and B = 16; (ii) A = 11 and B = 7. (b) State the purpose of the algorithm.
Sort 6, 2, 5, 4, 3 in increasing order using the following algorithm sort(a(1),..., a(n): real numbers with n ≥ 2) for i:=1 to n-1 for j:=1 to n-i if a(j) > a(j+1) then interchange a(j) and a(j+1) {a(1),...,a(n) is in increasing order} Which of the following steps do not attained during the procedure? 1. 2, 5, 6, 4, 3 II. 2, 6, 4, 5, 3 III. 2, 4, 3, 5, 6 IV. 2, 6, 5, 4, 3 V. 2, 4, 5, 6, 3 II and V I and II III and IV only V

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS