Alfredo Spaghetti really likes soup, especially when it contains alphabet
pasta. Every day he constructs a sentence from letters, places the letters
into a bowl of broth and enjoys delicious alphabet soup.

Today, after constructing the sentence, Alfredo remembered that the Facebook
Hacker Cup starts today! Thus, he decided to construct the phrase "HACKERCUP".
As he already added the letters to the broth, he is stuck with the letters he
originally selected. Help Alfredo determine how many times he can place the
word "HACKERCUP" side-by-side using the letters in his soup.

### Input

The first line of the input file contains a single integer T: the number of
test cases. T lines follow, each representing a single test case with a
sequence of upper-case letters and spaces: the original sentence Alfredo
constructed.

### Output

Output T lines, one for each test case. For each case, output "Case #t: n",
where t is the test case number (starting from 1) and n is the number of times
the word "HACKERCUP" can be placed side-by-side using the letters from the
sentence.

### Constraints

  * 1 < T ≤ 20 
  * Sentences contain only the upper-case letters A-Z and the space character 
  * Each sentence contains at least one letter, and contains at most 1,000 characters, including spaces