Exercise_4.py

# Time Complexity : O(n log n)
# Space Complexity : O(n)

# Did this code successfully run on Leetcode : Yes
# Any problem you faced while coding this :  No

# 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 into 2 halves
        L = arr[:mid]
        R = arr[mid:]

        # Recursive call to sort both halves
        mergeSort(L)
        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


#write your code here
  
# Code to print the list 
def printList(arr):
    for i in range(len(arr)):
        print(arr[i], end=" ")
    print()

    
    #write your code here
  
# driver code to test the above 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)