**Time limit:**1.00 s**Memory limit:**512 MB

Your task is to process $q$ queries of the form: how many trees are inside a given rectangle in the forest?

**Input**

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

Then, there are $n$ lines describing the forest. Each line has $n$ characters:

`.`

is an empty square and `*`

is a tree.Finally, there are $q$ lines describing the queries. Each line has four integers $y_1$, $x_1$, $y_2$, $x_2$ corresponding to the corners of a rectangle.

**Output**

Print the number of trees inside each rectangle.

**Constraints**

- $1 \le n \le 1000$

- $1 \le q \le 2 \cdot 10^5$

- $1 \le y_1 \le y_2 \le n$

- $1 \le x_1 \le x_2 \le n$

**Example**

Input:

`4 3`

.*..

*.**

**..

****

2 2 3 4

3 1 3 1

1 1 2 2

Output:

`3`

1

2