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.
Input: ["a","b","ba","bca","bda","bdca"] Output: 4 Explanation: one of the longest word chain is "a","ba","bda","bdca".
1 <= words.length <= 1000
1 <= words[i].length <= 16
words[i] only consists of English lowercase letters.
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