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# Python | Adding two list elements

There can be many situations in which one requires to find index wise summation of two different lists. This can have a possible applications in day-day programming. Lets discuss various ways in which this task can be performed.

Method #1 : Naive Method In this method, we simply run a loop and append to the new list the summation of the both list elements at similar index till we reach end of the smaller list. This is the basic method to achieve this task.

## Python3

 `# Python code to demonstrate``# addition of two list``# naive method` `# initializing lists``test_list1 ``=` `[``1``, ``3``, ``4``, ``6``, ``8``]``test_list2 ``=` `[``4``, ``5``, ``6``, ``2``, ``10``]` `# printing original lists``print` `("Original ``list` `1` `: " ``+` `str``(test_list1))``print` `("Original ``list` `2` `: " ``+` `str``(test_list2))` `# using naive method to``# add two list``res_list ``=` `[]``for` `i ``in` `range``(``0``, ``len``(test_list1)):``    ``res_list.append(test_list1[i] ``+` `test_list2[i])` `# printing resultant list``print` `("Resultant ``list` `is` `: " ``+` `str``(res_list))`

Output :

```Original list 1 : [1, 3, 4, 6, 8]
Original list 2 : [4, 5, 6, 2, 10]
Resultant list is : [5, 8, 10, 8, 18]```

Time Complexity: O(n)
Auxiliary Space: O(n)

Method #2 : Using List Comprehension The shorthand for the above explained technique, list comprehensions are usually quicker to type and hence must be preferred to perform these kind of programming tasks.

## Python3

 `# Python code to demonstrate``# addition of two list``# list comprehension` `# initializing lists``test_list1 ``=` `[``1``, ``3``, ``4``, ``6``, ``8``]``test_list2 ``=` `[``4``, ``5``, ``6``, ``2``, ``10``]` `# printing original lists``print` `("Original ``list` `1` `: " ``+` `str``(test_list1))``print` `("Original ``list` `2` `: " ``+` `str``(test_list2))` `# using list comprehension to``# add two list``res_list ``=` `[test_list1[i] ``+` `test_list2[i] ``for` `i ``in` `range``(``len``(test_list1))]` `# printing resultant list``print` `("Resultant ``list` `is` `: " ``+` `str``(res_list))`

Output :

```Original list 1 : [1, 3, 4, 6, 8]
Original list 2 : [4, 5, 6, 2, 10]
Resultant list is : [5, 8, 10, 8, 18]```

Time Complexity: O(n)
Auxiliary Space: O(n)

Method #3 : Using map() + add() map() can also be used, as we can input the add operation to the map() along with the two list and map() can perform the addition of both the techniques. This can be extended to any mathematical operation possible.

## Python3

 `# Python code to demonstrate``# addition of two list``# map() + add()``from` `operator ``import` `add` `# initializing lists``test_list1 ``=` `[``1``, ``3``, ``4``, ``6``, ``8``]``test_list2 ``=` `[``4``, ``5``, ``6``, ``2``, ``10``]` `# printing original lists``print` `("Original ``list` `1` `: " ``+` `str``(test_list1))``print` `("Original ``list` `2` `: " ``+` `str``(test_list2))` `# using map() + add() to``# add two list``res_list ``=` `list``(``map``(add, test_list1, test_list2))` `# printing resultant list``print` `("Resultant ``list` `is` `: " ``+` `str``(res_list))`

Output :

```Original list 1 : [1, 3, 4, 6, 8]
Original list 2 : [4, 5, 6, 2, 10]
Resultant list is : [5, 8, 10, 8, 18]```

Time Complexity: O(n)
Auxiliary Space: O(n)

Method #4 : Using zip() + sum() sum() can perform the index-wise addition of the list that can be “zipped” together using the zip(). This is quite elegant way to perform this particular task.

## Python3

 `# Python code to demonstrate``# addition of two list``# zip() + sum()``from` `operator ``import` `add` `# initializing lists``test_list1 ``=` `[``1``, ``3``, ``4``, ``6``, ``8``]``test_list2 ``=` `[``4``, ``5``, ``6``, ``2``, ``10``]` `# printing original lists``print` `("Original ``list` `1` `: " ``+` `str``(test_list1))``print` `("Original ``list` `2` `: " ``+` `str``(test_list2))` `# using zip() + sum() to``# add two list``res_list ``=` `[``sum``(i) ``for` `i ``in` `zip``(test_list1, test_list2)]` `# printing resultant list``print` `("Resultant ``list` `is` `: " ``+` `str``(res_list))`

Output :

```Original list 1 : [1, 3, 4, 6, 8]
Original list 2 : [4, 5, 6, 2, 10]
Resultant list is : [5, 8, 10, 8, 18]```

Time Complexity: O(n)
Auxiliary Space: O(n)

Method #5: Using numpy.sum()

Step-by-step approach:

• Import the numpy library.
• Initialize the two lists.
• Convert the lists to numpy arrays using the numpy.array() method.
• Use the numpy.sum() method with axis=0 to sum the two arrays element-wise.
• Convert the result back to a list using the tolist() method.

## Python3

 `# Python code to demonstrate``# addition of two list``# numpy.sum()` `import` `numpy as np` `# initializing lists``test_list1 ``=` `[``1``, ``3``, ``4``, ``6``, ``8``]``test_list2 ``=` `[``4``, ``5``, ``6``, ``2``, ``10``]` `# printing original lists``print``(``"Original list 1 : "` `+` `str``(test_list1))``print``(``"Original list 2 : "` `+` `str``(test_list2))` `# using numpy.sum() to add two lists``res_array ``=` `np.array(test_list1) ``+` `np.array(test_list2)``res_list ``=` `res_array.tolist()` `# printing resultant list``print``(``"Resultant list is : "` `+` `str``(res_list))`

```OUTPUT :
Original list 1 : [1, 3, 4, 6, 8]
Original list 2 : [4, 5, 6, 2, 10]
Resultant list is : [5, 8, 10, 8, 18]```

Time complexity: O(n), where n is the length of the lists.
Auxiliary space: O(n), where n is the length of the lists, for the numpy arrays.

My Personal Notes arrow_drop_up