To solve this problem, we need to split a given string into the maximum number of non-overlapping palindromic substrings, where each character in the string is used exactly once.

Approach

The key insight here is that every single character is a palindrome. Therefore, the maximum number of non-overlapping palindromic substrings we can get from any string is equal to the length of the string. This is because splitting the string into individual characters (each being a palindrome) gives us the maximum possible number of substrings (since each substring must contain at least one character).

Solution Code

def max_palindromic_substrings(s):
    return len(s)

Explanation

• Palindrome Property: A single character is always a palindrome.
• Maximum Substrings: Since each character can be a substring by itself, the maximum number of non-overlapping palindromic substrings is the length of the string. This approach is optimal as we cannot split the string into more substrings than the number of characters it contains.

This solution runs in O(1) time complexity (since we are just returning the length of the string) and uses O(1) additional space. It is the most efficient way to solve the problem.

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