You are given a sequence of integers a_1, a_2, \ldots, a_n in non-decreasing order. In addition to that, you are given several queries consisting of indices and j~(1 \le i \le j \le n). For each query, determine the most frequent value among the integers a_i, \ldots, a_j.
Consists of several test cases. Each test case starts with a line containing two integers and q~(1 \le n, q \le 10^5). The next line contains integers a_1, a_2, \ldots, a_n~(-10^5 \le a_i \le 10^5). You can assume that for each i \in \{1, \ldots, n - 1\}: a_i \le a_{i+1}. The following lines contain one query each, consisting of two integers and j~(1 \le i \le j \le n), 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.
Мысал 1