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 $s_x$ and $s_y$ 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 $m (1≤n×m≤10^5)$— the number of the strings and the length of strings.
Each of the next $n$ lines contains a string of lowercase letters $s_i$。
The next line contains a positive integer $Q (1≤Q≤10^5)$。
Each of the next $Q$ lines contains two integers $x,y (1≤x,y≤n)$ asks whether the string $s_x$ and the string $s_y$ 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
\n · \n \n \n \n · \n · \n \n \n \n \n \n · \n · \n · \n · \n · \n · \n
Yes Yes No No No No Yes
\n \n \n \n \n \n \n