   Table of content

## Merge Sort in Kotlin

Merge sort is an algorithm that is `n * log n` in runtime complexity. It’s a divide and conquer algorithm that splits a given list in half recursively until each list only has 1 element in it. Then it merges these lists back into one big list by sorting each one of these smaller lists and merging them back up into larger and larger lists.

Merge Sort follows the rule of Divide and Conquer to sort a given set of numbers/elements, recursively, hence consuming less time.

Kotlin Standard Functions

#### Divide & Conquer with Kotlin

Both merge sort and quicksort employ a common algorithmic paradigm based on recursion. This paradigm, divide-and-conquer, breaks a problem into subproblems that are similar to the original problem, recursively solves the subproblems, and finally combines the solutions to the subproblems to solve the original problem.

Because divide-and-conquer solves subproblems recursively, each subproblem must be smaller than the original problem, and there must be a base case for subproblems.

You should think of a divide-and-conquer algorithm as having three parts:

• Divide : Divide the problem into a number of subproblems that are smaller instances of the same problem.
• Conquer : Conquer the subproblems by solving them recursively. If they are small enough, solve the subproblems as base cases.
• Combine : Combine the solutions to the subproblems into the solution for the original problem.

Classes in kotlin ``````fun mergeSort(list: List<Int>): List<Int> {
if (list.size <= 1) {
return list
}

val middle = list.size / 2
var left = list.subList(0,middle);
var right = list.subList(middle,list.size);

return merge(mergeSort(left), mergeSort(right))
}
fun merge(left: List<Int>, right: List<Int>): List<Int>  {
var indexLeft = 0
var indexRight = 0
var newList : MutableList<Int> = mutableListOf()

while (indexLeft < left.count() && indexRight < right.count()) {
if (left[indexLeft] <= right[indexRight]) {
indexLeft++
} else {
indexRight++
}
}

while (indexLeft < left.size) {
indexLeft++
}

while (indexRight < right.size) {
indexRight++
}
return newList;
}

fun main(args: Array<String>) {
val numbers = mutableListOf(38,27,43,3,9,82,10)
val sortedList = mergeSort(numbers)
println("Unsorted: \$numbers")
println("Sorted: \$sortedList")
}``````

The output of the Merge sort in kotlin

``````Unsorted: [38, 27, 43, 3, 9, 82, 10]
Sorted: [3, 9, 10, 27, 38, 43, 82]``````
Comment / Suggestion Section
Point our Mistakes and Post Your Suggestions

## Subscribe to See Videos

Subscribe to my Youtube channel for new videos : Subscribe Now