The Little Elephant loves playing with arrays. He has array a, consisting of n positive integers, indexed from 1 to n. Let's denote the number with index i as a_i.

Additionally the Little Elephant has m queries to the array, each query is characterised by a pair of integers l_j and r_j (1 ≤ l_j ≤ r_j ≤ n). For each query l_j, r_j the Little Elephant has to count, how many numbers x exist, such that number x occurs exactly x times among numbers a_{l_j}, a_{l_j + 1}, ..., a_{r_j}.

Help the Little Elephant to count the answers to all queries.

Input

The first line contains two space-separated integers n and m (1 ≤ n, m ≤ 10⁵) — the size of array a and the number of queries to it. The next line contains n space-separated positive integers a₁, a₂, ..., a_n (1 ≤ a_i ≤ 10⁹). Next m lines contain descriptions of queries, one per line. The j-th of these lines contains the description of the j-th query as two space-separated integers l_j and r_j (1 ≤ l_j ≤ r_j ≤ n).

Output

In m lines print m integers — the answers to the queries. The j-th line should contain the answer to the j-th query.

Little Elephant and Array

Examples