3. A palindrome is a nonempty string over some alphabet that reads the same forward and backward. Examples of palindromes include all strings of length 1, civic, racecar, and aibohphobia (which is the officially unofficial name for the fear of palindromes). Design an efficient algorithm for finding the longest palindrome that is a substring of a given input string. For example, given the input caracter your algorithm should return carac. Prove the correctness of your algorithm and analyze its running time.
3. A palindrome is a nonempty string over some alphabet that reads the same forward and backward. Examples of palindromes include all strings of length 1, civic, racecar, and aibohphobia (which is the officially unofficial name for the fear of palindromes). Design an efficient algorithm for finding the longest palindrome that is a substring of a given input string. For example, given the input caracter your algorithm should return carac. Prove the correctness of your algorithm and analyze its running time.
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Transcribed Image Text:3. A palindrome is a nonempty string over some alphabet that reads the same forward and
backward. Examples of palindromes include all strings of length 1, civic, racecar, and
aibohphobia (which is the officially unofficial name for the fear of palindromes). Design an
efficient algorithm for finding the longest palindrome that is a substring of a given input
string. For example, given the input caracter your algorithm should return carac. Prove
the correctness of your algorithm and analyze its running time.
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