What is the basic operation of merge sort?

Merge sort is one of the most efficient sorting algorithms. It works on the principle of Divide and Conquer. Merge sort repeatedly breaks down a list into several sublists until each sublist consists of a single element and merging those sublists in a manner that results into a sorted list.

Which sort uses swapping?

Bubble sort, sometimes referred to as sinking sort, is a simple sorting algorithm that repeatedly steps through the list, compares adjacent elements and swaps them if they are in the wrong order.

Is Mergesort stable?

YesMerge sort / Stable

How many comparison and swap does insertion sort require?

In the expected case, insertion sort requires 1/4(N2 – N) comparisons, and thus should require about 1/2 the comparisons needed by selection sort. This result is verified by the eight item list of Figure 5.11 and Figure 5.13.

Which is better insertion sort or Merge Sort?

Insertion Sort is preferred for fewer elements. It becomes fast when data is already sorted or nearly sorted because it skips the sorted values. Efficiency: Considering average time complexity of both algorithm we can say that Merge Sort is efficient in terms of time and Insertion Sort is efficient in terms of space.

How to merge two sorted subarrays into one?

The merge (arr, l, m, r) is a key process that assumes that arr [l..m] and arr [m+1..r] are sorted and merges the two sorted sub-arrays into one. See the following C implementation for details. MergeSort (arr [], l, r) If r > l 1.

What is the time complexity of mergermerge sort?

Merge Sort is a recursive algorithm and time complexity can be expressed as following recurrence relation. The above recurrence can be solved either using the Recurrence Tree method or the Master method. It falls in case II of Master Method and the solution of the recurrence is θ (nLogn).

What is the difference between quick sort and merge sort?

Merge Sort. Like QuickSort, Merge Sort is a Divide and Conquer algorithm. It divides input array in two halves, calls itself for the two halves and then merges the two sorted halves.

How to implement merge sort without extra space for linked lists?

Therefore merge operation of merge sort can be implemented without extra space for linked lists. In arrays, we can do random access as elements are contiguous in memory. Let us say we have an integer (4-byte) array A and let the address of A [0] be x then to access A [i], we can directly access the memory at (x + i*4).