Describe an advanced data structure : Manacher’s Algorithm

The video tutorial explains Manacher's algorithm, which efficiently finds the longest palindromic substring in a given string. It covers the algorithm's theory, step-by-step example, and implementation details, highlighting its linear complexity. The tutorial concludes with coding the algorithm and testing its performance on large inputs.

What is the primary purpose of Manacher's Algorithm?

• To find the shortest substring in a string

• To sort a string alphabetically

• To find the length of the longest palindromic substring

• To reverse a string

Why does Manacher's Algorithm insert spaces between characters in the input string?

• To increase the length of the string

• To handle even-length palindromes more easily

• To separate vowels and consonants

• To make the string more readable

In Manacher's Algorithm, what is the role of the 'mirror' concept?

• To use symmetry to avoid recomputation

• To double the length of the string

• To find the center of the string

• To reflect the string horizontally

During the computation of L values, what happens if the characters around the center are equal?

• The algorithm stops

• The L value is decremented

• The L value is incremented

• The center is shifted

What is the significance of updating the center and right boundary in the algorithm?

• To ensure the algorithm runs in quadratic time

• To decrease the complexity of the algorithm

• To reset the string to its original form

• To maintain the longest palindrome found so far

What is the final complexity of Manacher's Algorithm?

• O(n^2)

• O(log n)

• O(n)

• O(n log n)

Why is it important to test the algorithm on a large input, like a 1,000,000 character string?

• To ensure the algorithm uses minimal memory

• To check if the algorithm can handle small inputs

• To verify the algorithm's speed and correctness

• To test the algorithm's ability to sort characters