Alice gets N strings. Now she has Q questions to ask you. For each question, she wanna know how many different prefix strings between Lth and Rth strings. It's so easy right? So solve it!
The input contains multiple test cases.
For each test case, the first line contains one integer $N(1\leq N\leq 100000)$. Then next N lines contain N strings and the total length of N strings is between 1 and 100000. The next line contains one integer $Q(1\leq Q\leq 100000)$. We define a specail integer Z=0. For each query, you get two integer L, R(0=<L,R<N). Then the query interval [L,R] is [min((Z+L)%N,(Z+R)%N)+1,max((Z+L)%N,(Z+R)%N)+1]. And Z change to the answer of this query.
For each question, output the answer.