You are given two permutations p and q , consisting of n elements, and m queries of the form: l 1, r 1, l 2, r 2 (l 1 ≤ r 1; l 2 ≤ r 2). The response for the query is the number of such integers from 1 to n , that their position in the first permutation is in segment [l 1, r 1] (borders included), and position in the second permutation is in segment [l 2, r 2] (borders included too). A permutation of n elements is the sequence of n distinct integers, each not less than 1 and not greater than n . Position of number v (1 ≤ v ≤ n) in permutation g 1, g 2, ..., g n is such number i , that g i = v .
输入描述:
The first line contains one integer n (1 ≤ n ≤ 106), the number of elements in both permutations. The following line contains n integers, separated with spaces: p1, p2, ..., pn (1 ≤ pi ≤ n). These are elements of the first permutation. The next line contains the second permutation q1, q2, ..., qn in same format.The following line contains an integer m (1 ≤ m ≤ 2·105), that is the number of queries.The following m lines contain descriptions of queries one in a line. The description of the i-th query consists of four integers: a, b, c, d (1 ≤ a, b, c, d ≤ n). Query parameters l1, r1, l2, r2 are obtained from the numbers a, b, c, d using the following algorithm: Introduce variable x. If it is the first query, then the variable equals 0, else it equals the response for the previous query plus one. Introduce function f(z) = ((z - 1 + x) modn) + 1. Suppose l1 = min(f(a), f(b)), r1 = max(f(a), f(b)), l2 = min(f(c), f(d)), r2 = max(f(c), f(d)).
输出描述:
Print a response for each query in a separate line.
示例1
输入
3
3 1 2
3 2 1
1
1 2 3 3
4
4 3 2 1
2 3 4 1
3
1 2 3 4
1 3 2 1
1 4 2 3
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