What is the optimal time complexity of solving Palindromic partitions?

The optimized solution achieves a time complexity of O(n) by using sorting, mathematical shortcuts, or hash table lookups.

What is the auxiliary space complexity for Palindromic partitions?

The space complexity is O(1) since we only use a minimal/constant amount of extra memory for tracking variables (or auxiliary space if dynamic structures are allocated).

What are the typical edge cases we must handle in Palindromic partitions?

Key edge cases include empty collections, negative or large bounds causing integer overflow, arrays with only one element, or inputs where target criteria are not met.

How can we optimize the brute force approach for Palindromic partitions?

Brute force methods often inspect all possible combinations. We optimize this by sorting the input list to enable binary search, or tracking processed items in a set to avoid redundant nested loop lookups.

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Python BasicsEasy

Palindromic partitions

Learn how to solve the 'Palindromic partitions' problem. This detailed resource details brute force and optimized approaches.

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Problem Statement

Easy

Write a function palindromic_partitions(s) that returns all possible ways to partition the string s such that every substring in the partition is a palindrome. Return a sorted list of partitions, where each partition is a list of strings. Sort by comparing partitions lexicographically.

Constraints

•1 <= len(s) <= 16
•s contains only lowercase English letters

Examples

Example 1

Input

s = 'aab'

Output

[['a', 'a', 'b'], ['aa', 'b']]

Explanation

'a','a','b' are all palindromes. 'aa' is a palindrome and 'b' is a palindrome. 'aab' itself is not a palindrome.

Example 2

Input

s = 'a'

Output

[['a']]

Explanation

A single character is always a palindrome.

Example 3

Input

s = 'aba'

Output

[['a', 'b', 'a'], ['aba']]

Explanation

Both ['a','b','a'] and ['aba'] consist of only palindromic substrings.

Need a Hint?

Use simple arithmetic operators (like modulo `%`, division `//`), conditional checks, or loops to inspect number properties.

Edge Cases to Watch

Empty list or null input variables
Single item lists/arrays
Extremely large input bounds causing integer or stack overflow

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