What is Divide and Conquer Algorithm | Merge Sort Algorithm in JavaScript | JavaScript & Algorithms
What is divide and conquer algorithm? How to implement a merge sort algorithm in JavaScript? The merge sort algorithm is a divide and conquer algorithm. In the merge sort algorithm, the input array is divided into smaller arrays until each subarray contains only one element. Then, the sub-arrays are merged back together in sorted order. So write a function that implements a merge sort algorithm in JavaScript.
Here is an implementation of the merge sort algorithm in JavaScript. We will use recursion to divide the array, and a merge function to combine the subarrays. Define a function that takes an array as input. And a function that takes left and right as inputs. If the length of the array is less than or equal to 1, return the array as is. This is the base case for the recursive algorithm.
Calculate the middle index of the array by using Math floor array length divided by 2. Split the array into two sub-arrays, left and right, by using the slice method. left contains the elements from the start of the array up to the middle index, and right contains the elements from the middle index to the end of the array. Recursively call mergeSort on the left and right sub-arrays. Call the merge function on the sorted left and right sub-arrays to merge them into a single sorted array.
We have merge function. So this merge function will take two sorted arrays, left and right, as input. Initialize an empty array to store the merged array. Initialize two variables i and j to 0 to keep track of the current index in the left and right arrays respectively. Start a while loop that continues until i is less than the length of the left array and j is less than the length of the right array.
Within the loop, compare the values at the current indices in the left and right arrays. If the value in the left array is less than the value in the right array, push the value from the left array into the result array and increment i. If the value in the right array is less than the value in the left array, push the value from the right array into the result array and increment j.
Start two additional while loops to push the remaining elements from either the left array or the right array into the result array. Return the result array. Define an array and call mergeSort function on it. The result of the mergeSort function, a sorted array, will be the output.
This is how we can implement merge sort algorithm in JavaScript.
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