Given an array $x$ of $n$ integers, your task is to process $q$ queries of the form: how many integers $i$ satisfy $a \le i \le b$ and $c \le x_i \le d$?

Input

The first line has two integers $n$ and $q$: the number of values and queries.

The second 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 four integers $a$, $b$, $c$ and $d$: how many integers $i$ satisfy $a \le i \le b$ and $c \le x_i \le d$?

Output

Print the result of each query.

Constraints

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

Example

Input:

8 4
3 2 4 5 1 1 5 3
2 4 2 4
5 6 2 9
1 8 1 5
3 3 4 4

Output:

2
0
8
1