2) Sort the elements of the following array using heap-sort in increasing order. All steps of the solution are written in the details. A=(9,4,3,7,2,1,8,5)
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- Complete the swift function given below and test it for the array [14, 67, 4, 16]Programming Language:- C12) Fun With Mergesort. Given the recursive mergesort function below. Modify the msort function such that, msort calls msort for sub arrays with more than 1024 elements, and msort calls bsort for sub arrays with 1024 or less elements. Assume both functions operate on the same global array. int data[4294967296]; // REALLY BIG array void bsort (int f, int 1); // forward declaration void msort (int f, int 1) int m; if (f<1) { m - (f+1)/2; msort (f, m): msort (m+1,1): merge (f,m, 1);
- Q: Consider an array consisting of the following sequence: 1, 4, 9, 16, 25, 49, …, n [10] Suppose a number in the sequence is missing. Write the mathematical process to find the missing number, i.e. some equation. What is the time complexity of finding the missing number in the sequence?Subject: Data structureALGO1(A)// A is an integer array, an index that starts at 11): for i=1 to n-1 do2): minIndex = findSmallest(A,i)3): exchange A[i] with A[minIndex] The sub-routine find the smallest(A, i) in Line 2, and returns the index of the smallest element in thesub-array A[i:n]Suppose the array below is provided as input to ALGO1 2 5 6 7 3 8 1 4 Fill in the Blanks At the end of the first iteration of the for loop (i.e. with i=1)1) a) the element at index 1 is : b) the element at index 4 is : c) the element at index 7 is :
- JAVA Problem Create a function that determines whether elements in an array can be re-arranged to form a consecutive list of numbers where each number appears exactly once. Examples cons([5, 1, 4, 3, 2]) → true // Can be re-arranged to form [1, 2, 3, 4, 5] cons([5, 1, 4, 3, 2, 8]) → false cons([5, 6, 7, 8, 9, 9]) → false //9 appears twiceConsider the following array of int values. [17, 11, 6, 22, -3, 8, 4, 22, 2, 35, -4, 10] Write the contents of the array after 4 passes of the outermost loop of selection sort. Assume selection sort is sorting slots from low-to-high Write the contents of the array during each of the the recursive calls of merge sort.VelTech Codeathon Jan Finals Test will be Lowest Common Multiple (LCM) You are given an array of positive integers, arr, of size array length. You are asked to build set S which consists of the LCM of every pair of adjacent elements in arr. Your task is to find the largest element in set S For example, for the array (1, 2, 3, 4), set S = { Icm(1,2), Icrm(2,3), Icrm(3,4) } = (2, 6, 12). The largest element is Fill you 12 Notes The array contains only positive integers. Adjacent elements may NOT be circular, ie. they may not wrap around the end of the array Definition of LCM A multiple of a number, num, is a number that can be divided by num. For example, the multiples of 5 are 5, 10, 15, 20, 25, and so on, The lowest common multiple (LCM) of two numbers, a and b, is the smallest positive number that is a multiple of both a and b Example 1 Input 4 1324 Output 9. Explanation set S= (lcm(1, 3), Icm(3, 2), Icm(2, 4) ) = (3, 6, 4) Largest element 6 Example 2 Pro Input 7329 12 Output 36…