Since you crave state-of-the-art technology, you've just purchased a phone with a great new feature: autocomplete! Your phone's version of autocomplete has some pros and cons. On the one hand, it's very cautious. It only autocompletes a word when it knows exactly what you're trying to write. On the other hand, you have to teach it every word you want to use.
You have N distinct words that you'd like to send in a text message in order. Before sending each word, you add it to your phone's dictionary. Then, you write the smallest non-empty prefix of the word necessary for your phone to autocomplete the word. This prefix must either be the whole word, or a prefix which is not a prefix of any other word yet in the dictionary.
What's the minimum number of letters you must type to send all N words?
Input
Input begins with an integer T, the number of test cases. For each test case, there is first a line containing the integer N. Then, N lines follow, each containing a word to send in the order you wish to send them.
Output
For the ith test case, print a line containing "Case #i: " followed by the minimum number of characters you need to type in your text message.
Constraints
1 ≤ T ≤ 100
1 ≤ N ≤ 100,000
The N words will have a total length of no more than 1,000,000 characters.
The words are made up of only lower-case alphabetic characters.
The words are pairwise distinct.
NOTE: The input file is about 10-20MB.
Explanation of Sample
In the first test case, you will write "h", "he", "l", "hil", "hill", for a total of 1 + 2 + 1 + 3 + 4 = 11 characters.