Efficient Painting

All submissions for this problem are available.
Chef recently took up painting. He likes painting pictures, but is always thinking of ways to make painting more efficient. Chef begins with a square canvas, initially painted completely white. He paints one rectangle at a time, where every edge must have integer length, and 2 edges of the rectangle must be parallel to the horizontal axis. When Chef paints a rectangle, he paints it in one of the following ways:
 White  paint the entire rectangle white
 Black  paint the entire rectangle black
 Flip  All white paint inside the rectangle becomes black, and all black paint becomes white
Chef wants your help in order to paint as few rectangles as possible. You will be given the final picture that Chef intends to paint. You must come up with a plan to paint the picture. Chef knows this is a difficult problem, so he isn't requiring optimal solutions, but the fewer rectangles you use the more points you will score.
Input
Input will begin with an integer N, the size of the painting. N lines follow with N characters each, describing the picture chef wishes to paint. The topleft corner is (0, 0), the topright corner is (0, N−1), the bottomleft corner is (N−1, 0), and the bottomright corner is (N−1, N1). A 'W' character indicates the corresponding cell of the painting is white, and a 'B' character indicates the cell is black.
Output
First output an integer L, the number of rectangles in your solution. This number must not exceed N^{2}. Then output L lines. Each line should consist of 2 pairs of integers followed by a 'W', 'B', or 'F' character. The first pair of integers is the (row, column) coordinates of the upperleft corner of the rectangle, and the second pair is the (row, column) coordinates of the bottomright corner. The final character indicates the operation to perform on the rectangle, 'W' for white, 'B' for black, and 'F' for flip.
Constraints
10 ≤ N ≤ 50 (excepting Sample Input)
All official inputs are generated by the method described in Test Generation.
Scoring
Your score for each test file is 10*L/N^{2}. Your overall score is the average of your scores on the individual test files. The goal is to minimize your score.
Sample Input
5
BWBBB
BBBWW
BBWWB
BBWWB
WBBBW
Sample Output
5 0 0 3 4 B 2 2 4 3 F 4 1 4 1 B 0 1 0 1 W 1 3 1 4 W
Explanation
The painting of the grid proceeds as follows:
WWWWW
WWWWW
WWWWW
WWWWW
WWWWW
BBBBB
BBBBB
BBBBB
BBBBB
WWWWW
BBBBB
BBBBB
BBWWB
BBWWB
WWBBW
BBBBB
BBBBB
BBWWB
BBWWB
WBBBW
BWBBB
BBBBB
BBWWB
BBWWB
WBBBW
BWBBB
BBBWW
BBWWB
BBWWB
WBBBW
This sample output would score 10*5/5^{2} = 2.
Test Generation
We have 50 official test cases, each of them is created as follows:
An integer N is chosen from [10, 50] uniformly at random. An real value p is chosen from [0.4, 0.6] uniformly at random. Then each cell is independently chosen as 'B' with probability p, 'W' with probability 1 − p.
Author:  pieguy 
Tester:  laycurse 
Editorial  http://discuss.codechef.com/problems/EFFPAINT 
Tags  adhoc, challenge, feb13, pieguy 
Date Added:  7012013 
Time Limit:  1 sec 
Source Limit:  50000 Bytes 
Languages:  C, CPP14, JAVA, PYTH, PYTH 3.5, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, NODEJS, HASK, SCALA, D, PERL, FORT, WSPC, ADA, CAML, ICK, BF, ASM, CLPS, PRLG, ICON, SCM qobi, PIKE, ST, NICE, LUA, BASH, NEM, LISP sbcl, LISP clisp, SCM guile, JS, ERL, TCL, PERL6, TEXT, CLOJ, FS 
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HELP
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