a C++ program to find all rectangles containing binary sub-matrices with all 0s and return their areas, heights and widths. This C++ program uses Largest Rectangular Area In Histogram Algorithm and it is inspired from a python-3 version written by tommy carstensen ( https://stackoverflow.com/a/30418912).
The program print row, column indices of four corners points of each rectangle with all 0s detected in a sub-matrix. The 0s belonging to theses rectangles are shown in red color. .
The First detected rectangle with id=0 is the largest one.

To compile the program, only to do is to open new Linux terminal and put the following command:
g++ -O2 FindRectanglesInBinary2DMatrix.cc -o FindRectanglesInBinary2DMatrix

To run the program, you should type:
./FindRectanglesInBinary2DMatrix 2dbinarymatrix_file.txt numberOfColumns

Here a demonstrative example, the file 2dbinary_matrix.txt contains the following matrix:

1 0 0 0 0 0 1
0 0 0 0 0 0 1
1 1 0 0 0 0 1
0 1 1 1 0 0 0
0 1 1 1 0 0 0
1 1 1 0 0 1 1
1 1 1 0 0 1 1
0 0 1 1 1 1 1

As we can see the number of columns is 7 whereas the number of rows is 8.

./FindRectanglesInBinary2DMatrix 2dbinary_matrix.txt 7

Afte execution, the output of the program will be as follows: