LuoTianyi and the Function

Description:

Input:

The first line contains two integers $$$n$$$ and $$$q$$$ ($$$1\le n,q\le 10^6$$$) — the length of the array $$$a$$$ and the number of queries.

The second line contains $$$n$$$ integers $$$a_1,a_2,\ldots,a_n$$$ ($$$1\le a_i\le n$$$) — the elements of the array $$$a$$$.

Next $$$q$$$ lines describe a query. The $$$i$$$-th line contains four integers $$$l,r,x,y$$$ ($$$1\le l\le r\le n, 1\le x\le y\le n$$$) — the integers in the $$$i$$$-th query.

Output:

Print $$$q$$$ lines where $$$i$$$-th line contains one integer — the answer for the $$$i$$$-th query.

Sample Input:

6 4
1 2 2 1 3 4
1 1 4 5
2 3 3 3
3 6 1 2
6 6 6 6

Sample Output:

6
6
0
6

Sample Input:

10 5
10 2 8 10 9 8 2 1 1 8
1 1 10 10
2 2 3 3
6 6 6 6
1 1 4 5
4 8 4 8

Sample Output:

4
2
6
4
80

Note:

In the first example:

In the first query, the answer is $$$g(1,4)+g(1,5)=3+3=6$$$.

$$$x=1,2,3$$$ can satisfies $$$\{a_p:1\le p\le 4\}\subseteq\{a_q:x\le q\le 4\}$$$, $$$3$$$ is the largest integer so $$$g(1,4)=3$$$.

In the second query, the answer is $$$g(2,3)+g(3,3)=3+3=6$$$.

In the third query, the answer is $$$0$$$, because all $$$i > j$$$ and $$$g(i,j)=0$$$.

In the fourth query, the answer is $$$g(6,6)=6$$$.

In the second example:

In the second query, the answer is $$$g(2,3)=2$$$.

In the fourth query, the answer is $$$g(1,4)+g(1,5)=2+2=4$$$.