You are given an array of n integers and q queries of the form: how many distinct values are there in a range [a,b]?

Input

The first input line has two integers n and q: the array size and number of queries.

The next line has n integers x_1,x_2,\dots,x_n: the array values.

Finally, there are q lines describing the queries. Each line has two integers a and b.

Output

For each query, print the number of distinct values in the range.

Constraints

• 1 \le n,q \le 2 \cdot 10^5
• 1 \le x_i \le 10^9
• 1 \le a \le b \le n

Example

Input:

5 3
3 2 3 1 2
1 3
2 4
1 5

Output:

2
3
3