Word Pattern

To solve this coding challenge, we need to determine if a given string adheres to a provided pattern. This requires ensuring there's a one-to-one correspondence (bijection) between each character in the pattern and each word in the string. Here's how we can achieve this:

Explanation

  1. Initial Check :
    • First, we should verify if the number of characters in the pattern matches the number of words in the string. If they don't match, it's impossible for there to be a one-to-one correspondence, and we can immediately return
      False
      .
  2. Splitting the String :
    • Convert the string
      s
      into a list of words.
  3. Create Mappings :
    • We'll use two dictionaries:
      char_to_word
      to map characters from the pattern to words in the string, and
      word_to_char
      to map words in the string back to characters in the pattern. This helps ensure that the mapping is bijective (one-to-one and onto).
  4. Iterate and Validate :
    • Iterate through pairs of characters from the pattern and words from the string.
    • For each pair, check:
      • If the character has been seen before but maps to a different word, return
        False
        .
      • If the word has been seen before but maps to a different character, return
        False
        .
    • If the character and word have not been seen before, update the mappings.
  5. Conclusion :
    • If we successfully iterate through all pairs without finding inconsistencies, then the string follows the pattern and we return
      True
      .

    Step-by-Step Explanation/Detailed Steps in Pseudocode

    Input:
  6. pattern
    ("abba")
  7. s
    ("dog cat cat dog")
  8. Initialize Structures :
    • Create empty dictionaries
      char_to_word
      and
      word_to_char
      .
  9. Split String :
    • Split the string
      s
      into a list of words:
      words = ["dog", "cat", "cat", "dog"]
      .
  10. Check Length :
    • If the length of
      pattern
      is not equal to the length of
      words
      , return
      False
      .
  11. Iterate Through Paired Items :
    • For each character (from
      pattern
      ) and word (from
      words
      ):
      • Check if the character is already in
        char_to_word
        :
        • If yes, but the mapped word differs from the current word, return
          False
          .
      • Check if the word is already in
        word_to_char
        :
        • If yes, but the mapped character differs from the current character, return
          False
          .
      • If neither is found, update both dictionaries with the new mapping.
  12. Final Check :
    • After iterating, if no inconsistencies were found, return
      True
      .

Pseudocode

                                            
// Initialize dictionaries to hold mappings
char_to_word = {}
word_to_char = {}

// Split the string into a list of words
words = split_string_on_spaces(s)

if length_of(pattern) != length_of(words)
    return False

// Iterate through each character and corresponding word
for char, word in paired_elements(pattern, words)
    // Check if character is in char_to_word
    if char in char_to_word
        if char_to_word[char] != word
            return False
    else
        // Add new mapping to char_to_word
        char_to_word[char] = word

    // Check if word is in word_to_char
    if word in word_to_char
        if word_to_char[word] != char
            return False
    else
        // Add new mapping to word_to_char
        word_to_char[word] = char

// If all checks passed, return True
return True

                                        
In this pseudocode, the
split_string_on_spaces(s)
function splits the input string
s
into individual words. The
paired_elements(pattern, words)
function pairs each character in
pattern
with each corresponding word in
words
for iteration.
This approach ensures a clear, detailed, and step-by-step methodology for solving the problem, providing a comprehensive understanding of the process.