Blue Mary is a typist of some secret department. Now she has to type in many passwords in an hour, each of which has a fixed length: 6.Of course, the fewer times she presses the keyboard, the happier she is.

Unfortunately, the keyboard to type in the password is extraordinary designed to keep secrets. The keyboard has 6 particular keys instead of 10 number keys. To explain the usages of these keys, let's define the 6 position on the screen 1, 2, 3, 4, 5, 6 from left to right. The keys' usages are shown below:

At start,6 random digits will be given on the screen, and the cursor will in position 1.After some smart presses, she can type in the correct password, at that time the cursor position is unimportant.

Here is an example("()"denotes to the cursor):

key pressed       screen
                  (1)23456
Swap1             (6)23451
Right             6(2)3451
Swap0             2(6)3451
Down              2(5)3451
Right             25(3)451
Up                25(4)451
Right             254(4)51
Down              254(3)51
Right             2543(5)1
Up                2543(6)1
Swap0             6543(2)1

Now Mary wants to know the minimal number of keys she has to press. Can you help her?

Input

The first line contains a single integer t(about 1000).t lines follow, each contains two 6-digit string, which show the digits on the screen at start and the password Mary is to type in, separated by a single space.

Output

t lines, each contains a single integer - the answer.

Example

Sample input:
1
123456 654321

Sample output:
11

Added some new test data.