Again a simple task from Oz! He has given you two strings \(STR1\) and \(STR2\). Each character of both strings is from the set {A, B, C, D, E, F, G, H, I, J}. You can perform 3 types of conversions on string \(STR1\) :
- Replace a character(except 'J') by next character from the set. i.e "ABE" to "ACE"
- Replace a character(except 'A') by previous character from the set. i.e "ABE" to "ABD"
- Swap any two characters. i.e "ABE" to "EBA"
Now you have to convert \(STR1\) into \(STR2\) using minimum number of conversions. Output the minimum number of conversions required.
Input:
First line of the input contains a single integer T denoting the number of test cases.
Each test case consist of two lines. First line contains \(STR1\) and second line contains \(STR2\).
Output:
For each test case, output minimum number of conversions required.
Constraints:
1 ≤ T ≤ 10
1 ≤ |\(STR1\)| ≤ 8
|\(STR1\)| = |\(STR2\)|
Following are 3 conversion steps :
- first swap 'B' and 'C' so STR1 becomes "CB"
- Replace 'C' by next character 'D' so STR1 becomes "DB"
- Replace 'B' by previous character 'A' so STR1 becomes "DA"
we can not convert STR1 into STR2 in fewer than 3 steps.
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