Caesar's Cipher is a very famous encryption technique used in cryptography. It is a type of substitution cipher in which each letter in the plaintext is replaced by a letter some fixed number of positions down the alphabet. For example, with a shift of 3, D would be replaced by G, E would become H, X would become A and so on.
Encryption of a letter X by a shift K can be described mathematically as \(E_{K} ( X ) = ( X + K )\) % \(26\).
Given a plaintext and it's corresponding ciphertext, output the minimum non-negative value of shift that was used to encrypt the plaintext or else output -1 if it is not possible to obtain the given ciphertext from the given plaintext using Caesar's Cipher technique.
Input:
The first line of the input contains Q, denoting the number of queries.
The next Q lines contain two strings S and T consisting of only upper-case letters.
Output:
For each test-case, output a single non-negative integer denoting the minimum value of shift that was used to encrypt the plaintext or else print -1 if the answer doesn't exist.
Constraints:
- \(1 \le Q \le 5 \)
- \( 1 \le |S| \le 10^{5}\)
- \( 1 \le |T| \le 10^{5}\)
- \( |S| = |T| \)