# Challenge name: Valid Palindrome # # Given a string s, determine if it is a palindrome, # considering only alphanumeric characters and ignoring cases. # # Example 1: # Input: s = "A man, a plan, a canal: Panama" # Output: true # Explanation: "amanaplanacanalpanama" is a palindrome. # # Example 2: # Input: s = "race a car" # Output: false # Explanation: "raceacar" is not a palindrome. # # Constraints: # 1 <= s.length <= 2 * 105 # s consists only of printable ASCII characters. # @param {String} s # @return {Boolean} # # Approach 1: Using Ruby method .reverse # # Time Complexity: O(n) # def is_palindrome(s) letters_only = s.downcase.gsub(/[^0-9a-z]/i, '') letters_only.reverse == letters_only end s = 'A man, a plan, a canal: Panama' puts is_palindrome(s) # Output: true # Explanation: "amanaplanacanalpanama" is a palindrome. s = 'race a car' puts is_palindrome(s) # Output: false # Explanation: "raceacar" is not a palindrome. s = 'ab_a' puts is_palindrome(s) # Output: true # Explanation: "aba" is a palindrome. # # Approach 2: Reversed array # # Time Complexity: O(n) # def is_palindrome(s) letters_only_array = s.downcase.gsub(/[^0-9a-z]/i, '').split('') reversed_array = [] letters_only_array.each do |letter| reversed_array.unshift(letter) end letters_only_array == reversed_array end s = 'A man, a plan, a canal: Panama' puts is_palindrome(s) # Output: true # Explanation: "amanaplanacanalpanama" is a palindrome. s = 'race a car' puts is_palindrome(s) # Output: false # Explanation: "raceacar" is not a palindrome. s = 'ab_a' puts is_palindrome(s) # Output: true # Explanation: "aba" is a palindrome. # # Approach 2: Two Pointers # # # Complexity Analysis: # # Time Complexity: O(n), in length n of the string. We traverse over each # character at most once until the two pointers meet in the middle, or when # we break and return early. # Space Complexity: O(1). No extra space required, at all. # def is_palindrome(s) letters_only = s.downcase.gsub(/[^0-9a-z]/i, '') p1 = 0 p2 = letters_only.length - 1 while p1 < p2 if letters_only[p1] == letters_only[p2] p1 += 1 p2 -= 1 else return false end end true end s = 'A man, a plan, a canal: Panama' puts is_palindrome(s) # Output: true # Explanation: "amanaplanacanalpanama" is a palindrome. s = 'race a car' puts is_palindrome(s) # Output: false # Explanation: "raceacar" is not a palindrome. s = 'ab_a' puts is_palindrome(s) # Output: true # Explanation: "aba" is a palindrome.