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  1. Abstract Data Structures
  2. Abstract Data Structures:
  3. Sorting

Merge Sort

# Python program for implementation of MergeSort
def mergeSort(arr):
    if len(arr) > 1:
 
         # Finding the mid of the array
        mid = len(arr)//2
 
        # Dividing the array elements
        L = arr[:mid]
 
        # into 2 halves
        R = arr[mid:]
 
        # Sorting the first half
        mergeSort(L)
 
        # Sorting the second half
        mergeSort(R)
 
        i = j = k = 0
 
        # Copy data to temp arrays L[] and R[]
        while i < len(L) and j < len(R):
            if L[i] < R[j]:
                arr[k] = L[i]
                i += 1
            else:
                arr[k] = R[j]
                j += 1
            k += 1
 
        # Checking if any element was left
        while i < len(L):
            arr[k] = L[i]
            i += 1
            k += 1
 
        while j < len(R):
            arr[k] = R[j]
            j += 1
            k += 1
 
# Code to print the list
 
 
def printList(arr):
    for i in range(len(arr)):
        print(arr[i], end=" ")
    print()
 
 
# Driver Code
if __name__ == '__main__':
    arr = [12, 11, 13, 5, 6, 7]
    print("Given array is", end="\n")
    printList(arr)
    mergeSort(arr)
    print("Sorted array is: ", end="\n")
    printList(arr)
 
function mergeSort(arr) {
    if (arr.length < 2) {
        // Arrays of length 0 or 1 are sorted by definition.
        return arr;
    }

    const left = arr.slice(0, Math.floor(arr.length / 2));
    const right = arr.slice(Math.floor(arr.length / 2), Math.floor(arr.length));

    return merge(mergeSort(left), mergeSort(right));
}

function merge(arr1, arr2) {
    const merged = [];
    let i = 0, j = 0;

    while (i < arr1.length && j < arr2.length) {
        if (arr1[i] <= arr2[j]) {
            merged.push(arr1[i]);
            i++;
        } else if (arr2[j] < arr1[i]) {
            merged.push(arr2[j]);
            j++;
        }
    }

    merged.push(...arr1.slice(i), ...arr2.slice(j));
    return merged;
}

const deepEqual = require('./deepEqual');

console.log(deepEqual(
    mergeSort([]),
    [],
));
console.log(deepEqual(
    mergeSort([1]),
    [1],
));
console.log(deepEqual(
    mergeSort([2, 1]),
    [1, 2],
));
console.log(deepEqual(
    mergeSort([7, 2, 4, 3, 1, 2]),
    [1, 2, 2, 3, 4, 7],
));
console.log(deepEqual(
    mergeSort([1, 2, 3, 4, 5, 0]),
    [0, 1, 2, 3, 4, 5],
));
console.log(deepEqual(
    mergeSort([10, 9, 8, 7, 6, 5, 4, 3, 2, 1]),
    [1, 2, 3, 4, 5, 6, 7, 8, 9, 10],
));
console.log(deepEqual(
    mergeSort([98322, 3242, 876, -234, 34, 12331]),
    [-234, 34, 876, 3242, 12331, 98322],
));
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