ZCC loves straight flush

Time Limit: 2000/1000 MS (Java/Others)

Memory Limit: 131072/65536 K (Java/Others)


After losing all his chips when playing Texas Hold'em with Fsygd on the way to ZJOI2015, ZCC has just learned a black technology. Now ZCC is able to change all cards as he wants during the game. ZCC wants to get a Straight Flush by changing as few cards as possible.

We call a five-card hand a Straight Flush when all five cards are consecutive and of the same suit. You are given a five-card hand. Please tell ZCC how many cards must be changed so as to get a Straight Flush.
Cards are represented by a letter('A', 'B', 'C', 'D') which denotes the suit and a number('1', '2', $\cdots$, '13') which denotes the rank.
Note that number '1' represents ace which is the largest actually. "1 2 3 4 5" and "10 11 12 13 1" are both considered to be consecutive while "11 12 13 1 2" is not.


First line contains a single integer $T(T=1000)$ which denotes the number of test cases.
For each test case, there are five short strings which denote the cards in a single line. It's guaranteed that all five cards are different.


For each test case, output a single line which is the answer.

Sample Input

3 A1 A2 A3 A4 A5 A1 A2 A3 A4 C5 A9 A10 C11 C12 C13

Sample Output

0 1 2




BestCoder Round #41