问题 E: Cyclically Isomorphic

If there exists an integer k such that string S becomes equal to string T after being cyclically right-shifted by k positions, then the strings S and T are said to be cyclically right-shifted. 
Now, given n strings of length m consisting of lowercase letters , there are a total of Q queries. Each query provides two positive integers x and y. If the strings sx and sy are cyclically right-shifted, output ’Yes’; otherwise, output ’No’. 

The input consists of multiple test cases. The first line contains a single integer T(1 ≤ T ≤ 5) — the number of test cases. Description of the test cases follows. 
The first line of each test case contains two integers n and m (1 ≤ n × m ≤ 105 )— the number of the strings and the length of strings. 
Each of the next n lines contains a string of lowercase letters si . 
The next line contains a positive integer Q (1 ≤ Q ≤ 105 ). 
Each of the next Q lines contains two integers x, y (1 ≤ x, y ≤ n) asks whether the string sx and the string sy are cyclic isomorphic.

For each test case, output Q lines. Each line should contain a string indicating whether the current query strings s_x and s_y are cyclically isomorphic. If they are cyclically isomorphic, output ’Yes’; otherwise, output ’No’.

2
2 2
ab
ba
1
1 2
4 3
aab
baa
bba
bab
6
1 2
1 3
1 4
2 3
2 4
3 4

Yes
Yes
No
No
No
No
Yes