For the list [44, 18, 74, 61, 42, 31], how will the array elements look like after secondpass (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 = iwhile position>0 and a[position-1]>currentvalue:a[position]=a[position-1]position = position-1a[position]=currentvaluereturn 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]

After the second pass of Insertion Sort, the array will be: [18, 44, 74, 61, 42, 31]The first two…

Answered: For the list [44, 18, 74, 61, 42, 31],…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Write the pseudocode for an algorithm that takes as input a list of numbers that are sorted in nondecreasing order, and finds the location(s) of the most frequently occurring element(s) in the list. If there are more than one element that is the most frequently occurring, then return the locations of all of them. Analyze the worst-case time complexity of this algorithm and give the O() estimate. (A list is in nondecreasing order if each number in the list is greater than or equal to the number preceding it.) ((Thank you for your help))
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According to the Master Theorem, what is the run time of the algorithm described by the function T(n) - 4T () +e(nº")
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…
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.
(a) For integers a, b, q, r, prove that if a = bq + r then (a, b) = (b, r). (b) Determine (1000, 2025) by using the Euclidean algorithm. Then express the answer as a linear combination of 1000 and 2025. Show all your working. (c) Suppose that G = (a), a ‡e, and a5 : = e. Construct a Cayley table for the group (G,.). (d) Determine the right cosets of ((1 2), [1]) € S3 × Zi₂. (e) Find the subgroups of Z24.
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
how would the u substitution work for the last two steps

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