Python - Count the frequency of matrix row length

Given a Matrix, the task is to write a Python program to get the count frequency of its rows lengths.

Input : test_list = [[6, 3, 1], [8, 9], [2], [10, 12, 7], [4, 11]]

Output : {3: 2, 2: 2, 1: 1}

Explanation : 2 lists of length 3 are present, 2 lists of size 2 and 1 of 1 length is present.

Input : test_list = [[6, 3, 1], [8, 9], [10, 12, 7], [4, 11]]

Output : {3: 2, 2: 2}

Explanation : 2 lists of length 3 are present, 2 lists of size 2.

Method #1 : Using dictionary + loop

In this we check for each row length, if length has occurred in the memorize dictionary, then the result is incremented or if a new size occurs, the element is registered as new.

The original list is : [[6, 3, 1], [8, 9], [2], [10, 12, 7], [4, 11]]
Row length frequencies : {3: 2, 2: 2, 1: 1}

Time complexity: O(n), where n is the total number of sublists in the input list.
Auxiliary space complexity: O(n), where n is the total number of sublists in the input list. The dictionary used to store the frequency of each length takes up O(n) space.

Method #2 : Using Counter() + map() + len()

In this, map() and len() get the lengths of each sublist in the matrix, Counter is used to keep the frequency of each of the lengths.

Output:

The original list is : [[6, 3, 1], [8, 9], [2], [10, 12, 7], [4, 11]]
Row length frequencies : {3: 2, 2: 2, 1: 1}

Time complexity: O(n), where n is the total number of elements in the input list.
Auxiliary space: O(k), where k is the number of unique row lengths in the input list.

Method #3 : Using count() method

The original list is : [[6, 3, 1], [8, 9], [2], [10, 12, 7], [4, 11]]
Row length frequencies : {1: 1, 2: 2, 3: 2}

Time complexity: O(n^2) where n is the length of the input list. 
Auxiliary space: O(n) where n is the length of the input list. 

Method #4 : Using operator.countOf() method

The original list is : [[6, 3, 1], [8, 9], [2], [10, 12, 7], [4, 11]]
Row length frequencies : {1: 1, 2: 2, 3: 2}

Time Complexity: O(N*N)
Auxiliary Space:  O(N*N)

Method #6: Using list comprehension and dictionary

1. Initialize a list of sublists test_list.
2. Print the original list using the print() function.
3. Use a list comprehension to create a new list lengths containing the lengths of all sublists in test_list. The len() function is used to get the length of each sublist.
4. Use a dictionary comprehension to count the frequency of each length in the lengths list obtained in step 3. The key of each key-value pair in the resulting dictionary is a length, and the value is the number of times that length appears in the lengths list. The count() method is used to count the frequency of each length.
5. Store the resulting dictionary in the variable res.
6. Print the resulting dictionary using the print() function.

The original list is : [[6, 3, 1], [8, 9], [2], [10, 12, 7], [4, 11]]
Row length frequencies : {3: 2, 2: 2, 1: 1}

Time complexity: O(n), where n is the length of test_list.
Auxiliary space: O(k), where k is the number of distinct row lengths in test_list.