is_cyclic.py

def is_cyclic(input_list):
    """
    The intuition is very simple and can be thought of as traversing a double-linked list or tree-traversals.
    - For the given_list to be cyclic, the first and last chars in words that form the list should match.
    - Which means, these chars should form even pairs.
    
    Thus, this function, 
    1. Creates a new list consisting of only the first and last character of every word in the list.
    2. Convert the new list into a string.
    3. Counts the number of occurences of every character in the new string in step 2.
    4. Checks, if all the character occurences are even. If true, then the list is cyclic else it will not be cyclic.
    """
    from collections import Counter
    return all(v%2 == 0 for v in Counter("".join([f"{c[0]}{c[-1]}" for c in input_list])).values())

given_list = ['chair', 'height', 'racket', 'touch', 'tunic']
is_cyclic(given_list) # True or False