Problem Link

Description


Given a pattern and a string s, find if s follows the same pattern.

Here follow means a full match, such that there is a bijection between a letter in pattern and a non-empty word in s. Specifically:

  • Each letter in pattern maps to exactly one unique word in s.
  • Each unique word in s maps to exactly one letter in pattern.
  • No two letters map to the same word, and no two words map to the same letter.

 

Example 1:

Input: pattern = "abba", s = "dog cat cat dog"

Output: true

Explanation:

The bijection can be established as:

  • 'a' maps to "dog".
  • 'b' maps to "cat".

Example 2:

Input: pattern = "abba", s = "dog cat cat fish"

Output: false

Example 3:

Input: pattern = "aaaa", s = "dog cat cat dog"

Output: false

 

Constraints:

  • 1 <= pattern.length <= 300
  • pattern contains only lower-case English letters.
  • 1 <= s.length <= 3000
  • s contains only lowercase English letters and spaces ' '.
  • s does not contain any leading or trailing spaces.
  • All the words in s are separated by a single space.

Solution


Python3

class Solution:
    def wordPattern(self, pattern: str, s: str) -> bool:
        def f(s):
            seen = {}
            res = []
 
            for x in s:
                if x not in seen:
                    seen[x] = len(seen)
                
                res.append(seen[x])
            
            return "".join(map(str, res))
        
        return f(pattern) == f(s.split())