Valid Palindrome

To solve this coding challenge, we need to determine if a given string is a palindrome after transforming it by converting all uppercase letters into lowercase and removing all non-alphanumeric characters. A string is termed a palindrome if it reads the same backward as it does forward. We'll proceed step-by-step, thoroughly explaining each phase and providing pseudocode.

Step-by-Step Explanation

  1. Initial Transformation : First, we'll convert all uppercase letters into lowercase letters because the case of the characters should not affect our palindrome check.
  2. Filtering Alphanumeric Characters : We'll remove all non-alphanumeric characters (characters which are neither letters nor digits). Only alphanumeric characters will be used to form the new version of the string we need to check for being a palindrome.
  3. Palindrome Check : We'll check if this newly formed string reads the same backward as it does forward.
  4. Detailed Steps in Pseudocode:
  5. Read the Input String : Start by reading the input string \( s \).
  6. Initialize an Empty Result String : Create an empty string \( filtered\_string \) which will store the alphanumeric characters of the transformed input.
  7. Iterate Over the Input String : Traverse each character in the input string \( s \).
    • Convert Character to Lowercase : For each character, convert it to lowercase.
    • Check if Character is Alphanumeric : Check if the character is alphanumeric (either a digit or a letter).
    • Append if Alphanumeric : If the character is alphanumeric, append it to \( filtered\_string \).
  8. Compare the Filtered String : Compare \( filtered\_string \) with its reverse to check if it forms a palindrome.
  9. Return the Result : Return
    true
    if \( filtered\_string \) is the same forward and backward, otherwise return
    false
    .
  10. Pseudocode with Comments

                                                
    # Function to check if a string is a palindrome
    FUNCTION isPalindrome(inputString):
    # Step 1: Initialize an empty string to store the filtered characters
    SET filtered_string TO EMPTY STRING
    
    # Step 2: Traverse each character in the input string
    FOR each character IN inputString:
    # Convert the character to lowercase
    SET lower_char TO LOWERCASE(character)
    
    # Check if the character is alphanumeric
    IF lower_char IS ALPHANUMERIC:
    # Append the alphanumeric character to filtered_string
    APPEND lower_char TO filtered_string
    
    # Step 3: Compare the filtered string with its reverse
    IF filtered_string IS EQUAL TO REVERSE(filtered_string):
    # Step 4: Return true if it is a palindrome
    RETURN true
    ELSE:
    # Step 4: Return false if it is not a palindrome
    RETURN false
    
                                            
    Explanation
  11. Reading and Initializing : We start by reading the input string
    inputString
    and initializing an empty string called
    filtered_string
    to store our valid alphanumeric characters.
  12. Iterate Over Input : We loop over each character in
    inputString
    . For each character, we convert it to lowercase to ensure uniformity.
  13. Filter Alphanumeric Characters : Within the loop, we check if the lowercase character is alphanumeric. If it is, we append it to our
    filtered_string
    .
  14. Palindrome Check : After building the filtered string with only lowercase alphanumeric characters, we compare it with its reverse version. If they match, the function returns
    true
    , indicating that the string is a palindrome. Otherwise, it returns
    false
    .
This method ensures that the string is properly transformed and checked for palindrome properties according to the specified conditions.