Range Interval Queries

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