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