Updated April 12, 2023

## Definition of Insertion sort in Python

Insertion sort in Python is an efficient programming sorting algorithm that is used for making the entire program stable and easy. This sorting algorithm has a lot of features that make it entirely flexible and versatile. The entire concept of Insertion sort relates to bubble sorting somewhat but not completely. It makes the entire implementation of sorting stable, easy, and in place for elements that are present in fewer amounts. Although this sorting paradigm has a lot of advantages with it still it has some of the cons related to the slow processing of elements within the data structure due to nested loops presents within it.

**Syntax:**

There is no specific syntax related to Python insertion sorting but there exist some of the algorithmic differences within it which makes it quite pivotal in the sense-making it implementable with respect to requirement and is represented as follows:

- Create a function() for performing insertion sort
- One outer loop is applied to make the traversal easy and streamline
- Move all the elements that are one step ahead of the entire positioning of elements among them the current element.
- Then make the entire driver code to drive the code from scratch till the end.

### How does Insertion sort work in Python?

Insertion sorting has a working paradigm and flows which is very important to follow in the sense it helps in making the entire sorting technique easy and stable at the time of implementation. Insertion sort in Python works in a way where the concept applies to the in-place and sorting algorithm. It is considered one of the stable algorithms which manage the order of equal objects from the array at the time of initialization. Secondly, it is considered an in-place algorithm also which manages and requires additional space without taking care of the input given for the size of the collection set it takes.

Once sorting is allowed to be performed all the actual elements present within the array get sorted and rewrites the memory allocation and traces the actual location for the elements. In Insertion sort, if more number elements are present within the array then it has the capability to adjust itself with all the elements and then placing them properly in an order to make it feasible and working accordingly. Only one element can be inserted at a time and doesn’t require an advance or prior knowledge of anything in this at a time.

It is efficient and worthy to keep the elements of the array size as small as possible with the size of 10 and less. Playing of cards can be considered as the best example for Insertion sort in python because the cards are compared with each other in order to sort the cards. Sorting of cards happens using insertion sort which makes the entire sorting and efficient process. All the cards once arranged in ascending order after applying insertion sort helps in making the process efficient.

All the nested loops are present in the implementation due to which the sorting of elements is not so fast. Basically, the actual working flow starts in a way where the entire array of elements get split into two sub-arrays such as one unsorted array and one sorted array. The sorted array consists of the first element of the array containing the initial element and the rest of the array contains the unsorted subpart where the elements present in the unsorted set of an array are compared to the sorted array. Once all the arrangement of sorting happens properly then it will be placed properly into a proper sub-array.

Inserting elements focus on moving elements towards the left side of the elements in the right side are compared. It means values present on the right side are smaller than the left side eventually. It will repeatedly occur until all the elements are positioned in the correct place like the inplace concept satisfies the need. The main algorithmic steps following insertion sort are as follows :

- Split the list or the array into two sets of sorted and unsorted arrays.
- Iterate from arr[1] to arr[n] till all the elements are in their respective order.
- The current element is compared to the next element within the array.
- If the current element is smaller than the other one then, in that case, a comparison needs to be made with the element and increments to the next element which is greater than the actual at the time of comparison.

An example will help the understanding more simplified and easier to get the actual implementation.

There is a provision that exists in Python particularly for the Insertion sort in the way that it allows the custom objects to get sorted easily and don’t create much hustle.

A custom class can be created and within that, some algorithmic tweaks can be performed in order to get the refinement of the actual comparison parameter and keep the same code as above. It is needed to make the operators overloaded for the sorting of objects in some different ways. Operator overloading can be performed in a way where there are ways to handle the arguments that get passed using another argument to insertion sort function making the lambda functions integrate and function properly. Lambda functions are quite trending and are used simultaneously with the sorting method present in python for calling the sorting method.

#### Example

This program demonstrates the Insertion sort in Python with the required output as shown below.

**Code:**

```
def insertion_Sort_1(arr_0):
for o in range(1, len(arr_0)):
key = arr_0[o]
j = o-1
while o >=0 and key < arr_0[o] :
arr_0[j+1] = arr_0[j]
j -= 1
arr_0[j+1] = key
arr_0 = [8, 20, 11, 15, 6]
insertion_Sort_1(arr_0)
print ("Array_In_Sorted_form:")
for o in range(len(arr_0)):
print ("%d" %arr_0[o])
```

**Output:**

### Conclusion

Insertion sort in python is really efficient and stable algorithm that is used for making the implementation easier for the developers. It gives the developers flexibility and versatility as per the requirement to get the insertion sorting solves the problem of placing the elements in order. The arrangement of elements in order is quite significant.

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