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.

  Example 1:

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

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.