Discover MakerZone

MATLAB and Simulink resources for Arduino, LEGO, and Raspberry Pi test

Learn more

Discover what MATLAB® can do for your career.

Opportunities for recent engineering grads.

Apply Today

MATLAB Academy

New to MATLAB?

Learn MATLAB today!

Problem 658. Find the biggest empty box

Created by Ned Gulley

You are given a matrix that contains only ones and zeros. Think of the ones as columns in an otherwise empty floor plan. You want to fit a big square into the empty space (denoted by zeros). What is the largest empty square sub-matrix you can find in the given matrix? You will return the row and column extent of the sub-matrix. The answer may not be unique. We will test that your sub-matrix is square, that it is empty, and that it contains the correct number of elements.


 Input a = [ 1 0 0 
             0 0 0 
             0 0 0 ]
 Output si = [ 2 3 2 3 ]

That is, the square indices are a(2:3,2:3). We verify that sum(sum(a(2:3,2:3))) is zero, and that it has four elements.


Problem Group

Solution Statistics

226 correct solutions 237 incorrect solutions
Last solution submitted on May 20, 2016

Problem Comments

Solution Comments