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1138. Anagram


Description

Orz has two strings of the same length: A and B. Now she wants to transform A into an anagram of B (which means, a rearrangement of B) by changing some of its letters. The only operation the girl can make is to “increase” some (possibly none or all) characters in A. E.g., she can change an 'A' to a 'B', or a 'K' to an 'L'. She can increase any character any times. E.g., she can increment an 'A' three times to get a 'D'. The increment is cyclic: if she increases a 'Z', she gets an 'A' again.

For example, she can transform "ELLY" to "KRIS" character by character by shifting 'E' to 'K' (6 operations), 'L' to 'R' (again 6 operations), the second 'L' to 'I' (23 operations, going from 'Z' to 'A' on the 15-th operation), and finally 'Y' to 'S' (20 operations, again cyclically going from 'Z' to 'A' on the 2-nd operation). The total number of operations would be 6 + 6 + 23 + 20 = 55. However, to make "ELLY" an anagram of "KRIS" it would be better to change it to "IRSK" with only 29 operations.  You are given the strings A and B. Find the minimal number of operations needed to transform A into some other string X, such that X is an anagram of B.

Input

There will be multiple test cases. For each test case:
There is two strings A and B in one line. |A| = |B| ≤ 50. A and B will contain only uppercase letters from the English alphabet ('A'-'Z').


Output

For each test case, output the minimal number of operations.

Samples

Input Copy
ABCA BACA
ELLY KRIS
AAAA ZZZZ
Output
0
29
100

Source

第九届山东省赛
Problem Information

Time Limit: 1000MS (C/C++,Others×2)
Memory Limit: 128MB (C/C++,Others×2)
Special Judge: No
AC/Submit: 1 / 1
Tags:
Contests involved

1017. 2018 SD ACM
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