Similar Strings

You are given three strings, 'A', 'B', and 'C', each of length 'N' consisting of lower case alphabets. The difference between the three strings is defined as ∑|A[i] − B[i]| + |A[i] − C[i]| where |A[i] − B[i]| and |A[i] − C[i]| are the absolute differences between ASCII values of the characters at the position i in strings 'A', 'B' and 'A' ,'C' respectively. You are allowed to rotate the string 'A' cyclically. There are a total of 'N' possible rotations of a string of length 'N'.

Your task is to return the maximum and minimum difference of the three strings for all the possible rotations of string a.

For Example:

If the value of 'N' is 2, 'A' is "ab" , 'B' is "aa" and 'C' is "bb".
Then the answer for this input is
min = 2 
max = 2

Because current difference is 1 + 1 = 2
After one rotation difference will be 1 + 1 = 2
Hence, the minimum and the maximum answer is 2.

Input Format:

The first line contains a single integer 'T' denoting the number of test cases to be run. Then the test cases follow.

First line: Single integer 'N' (the length of the three strings)

Following three lines: Strings 'A, 'B', and 'C', respectively.

Output Format:

For each test case, Print two space-separated integers denoting the maximum and minimum difference of the three strings for all possible rotations of string a.

Output for each test case will be printed in a separate line.

Note

You are not required to print anything; it has already been taken care of. Just implement the function.

Constraints:

1 <= T <= 50
1 <= N <= 10^4

Time Limit: 1 sec.