2015/round1/autocomplete.md

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 **i**th 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.