Modify the following algorithm of Merge Sort in such a way that during every recursive call it should divide the array into three partitions instead of two. What will be effect of this modification on the running time of Merge Time? Merge-Sort (A, left, right) if left z right return else middle e (left+right)/2 Merge-Sort(A, left, middle) Merge-Sort(A, middle+1, right) Merge(A, left, middle, right) Merge(A, left, middle, right) n; + middle - left +1 n; + right – middle create array L[n;], R[n;] fori < 0 to n;-1 do L[i] < A[left +i] forj+ 0 to n;-1 do R[j] < A[middle+j] while ik n; &j< n; if L[) < R[j] A[k++] < L[i++] else A[k++] < R[j++] while ik n. A[k++]

Trace the passes of insertion sort on the following lists:i) {H, K, M, N, P} ii) {P, N, M, K, H}Compare their performance in terms of the comparisons made.

Implement external sort: for sort phase use normal sort,   for merge phase use two way merge to merge n sorted files (merge2way(n)), for array sort use heapsort. Also write merge(f1, f2, f3) to merge two sorted files f1 and f2 into f3.. Write mergenway(n) method and print execution time of both merges for initial input file over 10MB data. A sample input is as follow:Note:First input is max array size for sort           10   84   82   52   80   96   85   75   75   82   87  92   89   57   94   93   92   63   99   87  72   73   56   74   50   84   62   72   55   86   75  74  100   83   60   53   68   89   67  66  65   72   94   73   54   98   96   85   75   75   82   87  92   89

The bubble sort algorithm discussed in class is used to sort the following sequence of integers: 2 16 38 9 4 14 How many passes must the algorithm perform to guarantee the entire sequence is sorted? What is the list obtained after the first pass? What is the list obtained after the third pass? What is the list obtained after the final pass?

Task - 2: Write a java program (AnyTypeMergeSort.java) to implement the Merge Sort algorithm to sort the array containing any type of elements (suppose strings). Your program will have the following method signature: ● ● public void mergeSort(T[] A, int lowerBound, int upperBound) public void merge(T[] A, int lowerBound, int midPoint, int upperBound) Following is the Merge Sort Algorithm MERGE-SORT (A, p,r) 1 if p≥r 2 3 4 5 6 // Merge A[p:q] and A[q + 1:r] into A[p:r]. 7 MERGE(A, p, q, r) 4 Where p and r represent lower (starting index) and upper (ending index) bounds of array A respectively. The Merge Sort calls the following Merge Algorithm that accepts q as the mid of the array along with p and r: MERGE(A, p, q, r) 1 n₂ = q-p+1 2 nR=r-9 3 let L[0:n 5 6 7 8 9 10 11 return ANZEIGEN q = [(p+r)/2] MERGE-SORT(A, p, q) MERGE-SORT (A, q + 1,r) 22 25 26 27 i = 0 j = 0 k = p 12 13 14 15 16 17 18 19 // Having gone through one of L and R entirely, copy the // remainder of the other to the end…

Please, answer and provide an explenation.

The best case behaviour occurs for quick sort when the partition function splits the sequence of size n into subarrays of size: Select one: a.n/4 : 3n/4 b.n/4 : 3n/2 c.3n/8 : (5n/8) d.n/2 : (n/2)-1 e.n/2 : n/3

Using Java, 1. Implement external sort: for sort phase use normal sort,   for merge phase use two way merge to merge n sorted files (merge2way(n)), for array sort use heapsort. Also write merge(f1, f2, f3) to merge two sorted files f1 and f2 into f3.. Write mergenway(n) method and print execution time of both merges for initial input file over 10MB data.  A sample input is as follow:Note:Fist input is max array size for sort           10   84   82   52   80   96   85   75   75   82   87  92   89   57   94   93   92   63   99   87  72   73   56   74   50   84   62   72   55   86   75  74  100   83   60   53   68   89   67  66  65   72   94   73   54   98   96   85   75   75   82   87  92   89

2. Suppose the function MergeSort( Vis a recursive implementation of the merge sort algorithm, which takes as input an integer array A. How many times is MergeSort( ) recursively called, if A is of size n? Answer: Select T Select Olnlogn 3. How many times is the Merge routine called in total, O(1) Oln 2) nswer. ISelect ]

Write the state/order of the elements of the following array after each pass of the outermost loop of the Selection sort algorithm [ 8, 5, -9, 14, 0, -1, -7, 3 ] for example,  1st pass: -9, 5, 8, 14, 0, -1, -7, 3 2nd pass:  3rd pass:  4th pass: