You are given a sequence of integers in non-decreasing order. In addition to that, you are given several queries consisting of indices and . For each query, determine the most frequent value among the integers .
Consists of several test cases. Each test case starts with a line containing two integers and . The next line contains integers . You can assume that for each . The following lines contain one query each, consisting of two integers and , which indicate the boundary indices for the query.
The last test case is followed by a line containing a single .
For each query, print one line with one integer: the number of occurrences of the most frequent value within the given range.