Common questions

How do you implement Mergesort?

How do you implement Mergesort?

Here’s how merge sort uses divide-and-conquer:

  1. Divide by finding the number q of the position midway between p and r.
  2. Conquer by recursively sorting the subarrays in each of the two subproblems created by the divide step.
  3. Combine by merging the two sorted subarrays back into the single sorted subarray array[p..

How do you write a mergesort in Java?

Algorithm

  1. Step 1: [INITIALIZE] SET I = BEG, J = MID + 1, INDEX = 0.
  2. Step 2: Repeat while (I <= MID) AND (J<=END) IF ARR[I] < ARR[J] SET TEMP[INDEX] = ARR[I] SET I = I + 1.
  3. Step 4: [Copy the contents of TEMP back to ARR] SET K = 0.
  4. Step 5: Repeat while K < INDEX. SET ARR[K] = TEMP[K] SET K = K + 1. [END OF LOOP]
  5. Step 6: Exit.

What is Mergesort in Java?

A merge sort is a type of a divide and conquer algorithm used to sort a given array; this means that the array is divided into halves and then further sub-divided till division can no longer take place. This happens when you reach a single element array as that has no middle to further divide the array on.

How does Mergesort work java?

Merge sort is a divide-and-conquer algorithm, which recursively calls itself on halved portions of the initial collection. That being said, it sounds a lot like Quicksort, which also partitions the collection and then recursively calls itself on the partitioned collections (which are typically halves).

How do you implement a bucket sort?

Bucket sort works as follows:

  1. Set up an array of initially empty “buckets”.
  2. Scatter: Go over the original array, putting each object in its bucket.
  3. Sort each non-empty bucket.
  4. Gather: Visit the buckets in order and put all elements back into the original array.

What are the benefits of merge sort?

Merge sort is more efficient and works faster than quick sort in case of larger array size or datasets. Quick sort is more efficient and works faster than merge sort in case of smaller array size or datasets.

Which sort algorithm is best?

Time Complexities of Sorting Algorithms:

Algorithm Best Worst
Bubble Sort Ω(n) O(n^2)
Merge Sort Ω(n log(n)) O(n log(n))
Insertion Sort Ω(n) O(n^2)
Selection Sort Ω(n^2) O(n^2)

Why is quicksort better than mergesort?

Quicksort usually is better than mergesort for two reasons: Quicksort has better locality of reference than mergesort, which means that the accesses performed in quicksort are usually faster than the corresponding accesses in mergesort.

What is the Order of merge sort?

Merge sort is the efficient algorithm of sorting the elements of the array in either ascending order or descending order because it has complexity O(n log(n)).

What are the applications of merge sort?

Merge Sort is useful for sorting linked lists in O (nLogn) time.

  • It is used in Inversion Count Problem.
  • We can use it in External Sorting.
  • How to merge two arrays in Java?

    then we will store values in both the arrays.

  • we will calculate the length of arrays a and b and will store it into the variables lets say a1 and b1.
  • we merge both the arrays and the result will be stored in the third array.