Letters Q and F#11143
Little Lev is learning how to draw letters Q and F. Initially, he has a white grid of size n \times m. Then he will draw several letters of one of the following two shapes:
Lev will not rotate or mirror these two shapes. Every time he draws a new letter, he will choose a position for the letter inside the grid and paint all cells of the shape black. Lev will only draw letters in such a way that before drawing all black cells of the letter are white — that is, he will never paint a cell twice.
You are given the final coloring of the grid. Count the number of letters Q and letters F drawn by Lev.
The first line contains two integers and — the height and the width of the grid (5 \le n \le 300; 3 \le m \le 300).
The next lines contain characters each, denoting the final state of the grid. A white cell is denoted by '.', a black cell is denoted by '#'.
It is guaranteed that the grid is a valid result of Lev's drawing.
Print two integers — the number of letters Q and the number of letters F drawn by Lev, respectively.
Example 1
Example 2
Example 3
Example 4
Illustration for the fourth example test: