1. Given an array A= [ 3, 17, 8, 32, 20, 9, 6, 11, 12], what is the resulting sequence of the numbers in A after making a call to partition (A, 1,9). (Hint: Find the correct position of 12)
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- Plot the result of (given) selectionsort(A) when A is a perfectly sorted and contains randoms integers ,0 to 100 inclusive, for array sizes n = 2,4,8,16,..1024. please provide code for A and generating the plot for each doubling array, as well as the resulting plot. def selectionsort(A): for i in range(len(A)): min_idx = i for j in range(i + 1, len(A)): if A[min_idx] > A[j]: min_idx = j A[i], A[min_idx] = A[min_idx], A[i] return AFollowing is the partition function for quicksort, where we have used the leftmost number as a pivot. Assume that our array, ARR = {14, 8, 7, 38, 22, 15, 9}, which is 7 in size. What will be the array ARR after we apply "partition(A, 0, 6)"* 9, 15, 22, 38, 7, 8, 14 7, 8, 9, 14, 15, 22, 38 9, 8, 14, 7, 22, 15, 38 9, 8, 7, 14, 22, 15, 38 7, 9, 15, 22, 38, 14, 6 38, 22, 15, 14, 9, 8, 7Below is how the arrays are represented ARRAY1[] = [1, 5, 6, 6, 9, 9, 9, 11, 11, 21] Here length of ARRAY1 is m. ARRAY2[] = [6, 6, 9, 11, 21, 21, 21] Here length of ARRAY2 is n. Array to be returned would be: ARRAY[] = [6, 9, 11, 21] ATTN : Further, please be reminded that you cannot use library functions to either sort and or perform the de-duplication operation. solve the problem in two ways In a separate implementation, code up a solution in such a way that your solution solves the problem with O(nlog(m)) time complexity 2 or O(mlog(n)) time complexity. Here log means to the base of 2. I’m sure you already know that the hint is to use Binary Search. In the form of sentences, as a comment in your code (at the bottom of your Solution2), you are required to suggest how can Solution2 be improved by leveraging the fact that both the arrays are already sorted. Suggest a solution so that your suggested solution can run linearly with O(m + n) time complexity. Your suggestion should be no…
- 1) Consider an integer array a of length n with indexing starting at 0, where n is a positive integer.If the elements of array a are to be written out in reverse order, which of the following C++ code fragment does NOT do the job? Question options: a. int i=n-1; while (i>=1){cout << a[i] << endl; i = i-1;} cout << a[i] << endl; b. int i=n-1; while (i>=1){cout << a[i] << endl; i = i-1;} c. int i=n-1; while (i>=0){cout << a[i] << endl; i = i-1;} d. int i=n; while (i>0){cout << a[i-1] << endl; i = i-1;} 2) Assume we use 8-bit cell to store floating point numbers, 1 bit for sign, 3 bits for excessed exponent, and 4 bits for significand. What is the decimal value for a cell with bit pattern 0 111 1101 Question options: a. 125 b. 224…Let A be an array with n = 2k − 1 elements, where k is some positive integer. Determine a formula (in terms of n) for the minimum possible number of total comparisons required by Quicksort, as well as a formula for the maximum possible number of total comparisons required by Quicksort.Given are group of integers separated by space and a single integer, store the group of integers in an array, return the sorted array, reverse order of the array and number of occurrence of single integer in the sorted array. ex. input: group of integers = 5 6 8 3 5 7 2 4 1 4 7 9 5 single integer = 5 output: [1, 2, 3, 4, 4, 5, 5, 5, 6, 7, 7, 8, 9] [9, 8, 7, 7, 6, 5, 5, 5, 4, 4, 3, 2, 1] 3
- Consider an array of 10 integers (7,6,8,11,13,12,9,4,2,21). Draw this array after the two iteration of selection sort by mentioning steps in a tabular form.Read in two integers n and m (n, m < 50). Read n integers in an array A. Read m integers in anarray B. Then do the following (write separate programs for each, only the reading part iscommon).a) Find if there are any two elements x, y in A and an element z in B, such that x + y = z.b) Copy in another array C all elements that are in both A and B (intersection).c) Copy in another array C all elements that are in either A and B (union).d) Copy in another array C all elements that are in A but not in B (difference).c programm please tell all the answerImplement a Binary Search algorithm, and using the results from Exercise 5, show how longthe Binary Search takes (on average) for arrays of size 10, 100, and 1000. (You do not haveto print out the values in the array).
- Make a 2D array of int to contain the following collections of numbers 1,4,1 1,0 null and 2,2Please keep the simulation neat and well organized. It is a request. Perform MergeSort on the given array. You need to show the whole simulation. A = [10,3,9,18,21,26,30,8,15,6,17].// function to generate all subsequences of given arrayfunction generate_subseq(arr): // length of arr n = len(arr) // total subsequences for array of length n m = 2**n // to store all subsequences seqs = [] // running a loop for m times for i in range(1, m): // creating an array of zeros of length n a = [0]*n num = i // to use as an index for 'a' j = n-1 // run this loop till num > 0 while num > 0: if num is odd: a[j] = 1 // divide num by 2 num = num/2 // subtract 1 from 'j' j -= 1 // to store current subsequence seq = [] // iterating for n times for i in range(n): // add ith index value to 'seq' if a[i] == 1: seq.append(arr[i]) // add 'seq' to 'seqs' seqs.append(seq) // return seqs return seqs // given listsS1 = ['B','C','D','A','A','C','D']S2 = ['A','C','D','B','A','C']…