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Given a list of words, each word consists of English lowercase letters.
Let's say word1 is a predecessor of word2 if and only if we can add exactly one letter anywhere in word1 to make it equal to word2. For example, "abc" is a predecessor of "abac".
A word chain is a sequence of words [word_1, word_2, ..., word_k] with k >= 1, where word_1 is a predecessor of word_2, word_2 is a predecessor of word_3, and so on.
Return the longest possible length of a word chain with words chosen from the given list of words.
Example 1:
Input: words = ["a","b","ba","bca","bda","bdca"]
Output: 4
Explanation: One of the longest word chain is "a","ba","bda","bdca".
Example 2:
Input: words = ["xbc","pcxbcf","xb","cxbc","pcxbc"]
Output: 5
Constraints:
1 <= words.length <= 1000
1 <= words[i].length <= 16
words[i] only consists of English lowercase letters.
[Hash Table]
[Dynamic Programming]
Hints
Hint 1
Instead of adding a character, try deleting a character to form a chain in reverse.
Hint 2
For each word in order of length, for each word2 which is word with one character removed, length[word2] = max(length[word2], length[word] + 1).