The abbreviation of a word is a concatenation of its first letter, the number of characters between the first and last letter, and its last letter. If a word has only two characters, then it is an abbreviation of itself.

For example:

• dog --> d1g because there is one letter between the first letter 'd' and the last letter 'g'.
• internationalization --> i18n because there are 18 letters between the first letter 'i' and the last letter 'n'.
• it --> it because any word with only two characters is an abbreviation of itself.

Implement the ValidWordAbbr class:

• ValidWordAbbr(String[] dictionary) Initializes the object with a dictionary of words.
• boolean isUnique(string word) Returns true if either of the following conditions are met (otherwise returns false):
  • There is no word in dictionary whose abbreviation is equal to word's abbreviation.
  • For any word in dictionary whose abbreviation is equal to word's abbreviation, that word and word are the same.

 

Example 1:

Input
["ValidWordAbbr", "isUnique", "isUnique", "isUnique", "isUnique", "isUnique"]
[[["deer", "door", "cake", "card"]], ["dear"], ["cart"], ["cane"], ["make"], ["cake"]]
Output
[null, false, true, false, true, true]

Explanation
ValidWordAbbr validWordAbbr = new ValidWordAbbr(["deer", "door", "cake", "card"]);
validWordAbbr.isUnique("dear"); // return false, dictionary word "deer" and word "dear" have the same abbreviation "d2r" but are not the same.
validWordAbbr.isUnique("cart"); // return true, no words in the dictionary have the abbreviation "c2t".
validWordAbbr.isUnique("cane"); // return false, dictionary word "cake" and word "cane" have the same abbreviation  "c2e" but are not the same.
validWordAbbr.isUnique("make"); // return true, no words in the dictionary have the abbreviation "m2e".
validWordAbbr.isUnique("cake"); // return true, because "cake" is already in the dictionary and no other word in the dictionary has "c2e" abbreviation.

 

Constraints:

• 1 <= dictionary.length <= 3 * 104
• 1 <= dictionary[i].length <= 20
• dictionary[i] consists of lowercase English letters.
• 1 <= word.length <= 20
• word consists of lowercase English letters.
• At most 5000 calls will be made to isUnique.