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**Task** | Statistics

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

You are given an $n \times n$ grid representing the map of a forest. Each square is either empty or has a tree. Your task is to process $q$ queries of the following types:

- Change the state (empty/tree) of a square.

- How many trees are inside a rectangle in the forest?

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. The format of each line is either "$1$ $y$ $x$" or "2 $y_1$ $x_1$ $y_2$ $x_2$".

Print the answer to each query of the second type.

- $1 \le n \le 1000$

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

- $1 \le y,x \le n$

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

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

Input:

`4 3`

.*..

*.**

**..

****

2 2 2 3 4

1 3 3

2 2 2 3 4

Output:

`3`

4