Oh, no! You have accidentally removed all spaces, punctuation, and capitalization in a lengthy document. A sentence like "I reset the computer. It still didn't boot!" became "iresetthecomputeritstilldidntboot''. You'll deal with the punctuation and capi­talization later; right now you need to re-insert the spaces. Most of the words are in a dictionary but a few are not. Given a dictionary (a list of strings) and the document (a string), design an algorithm to unconcatenate the document in a way that minimizes the number of unrecognized characters. Return the number of unrecognized characters.

Note: This problem is slightly different from the original one in the book.

Example:

Input: 

dictionary = ["looked","just","like","her","brother"]

sentence = "jesslookedjustliketimherbrother"

Output:  7

Explanation:  After unconcatenating, we got "jess looked just like tim her brother", which containing 7 unrecognized characters.

Note:

• 0 <= len(sentence) <= 1000
• The total number of characters in dictionary is less than or equal to 150000.
• There are only lowercase letters in dictionary and sentence.