if i have some matrix unknown how to generate a matrix with condition to give the same matrix?

if i have some matrix unknown how to generate a matrix with condition to give the same matrix? for example

A = [ 0 1 1 1 0      this matrix will be unknown 
      1 1 0 1 1
      1 0 0 0 1
      1 1 0 1 1
      0 1 1 1 0 ]

and if i have these matrix

B = [  0 3        represent number of group of ones in each row in the New matrix (X)
       2 2
       1 1 
       2 2
       0 3]

AND  C = [ 0 2 1 2 0               represent number of group of ones in each column in the New matrix (X)
           3 2 1 2 3 ]

And after generate a random matrix X I need some function to compute matrix B and C and give a solution very closed to the Matrix A

• note X NOT equal exactly for A

[Geoff Hayes]

Firas - I'm not clear on what is known and unknown. You suggest that B and C are known but then you want to use X to create B and C. Please clarify what information you have to start with and what information (matrix) you want to end up with. What are the rules?

[Geoff Hayes]

Firas - is this a duplicate of http://www.mathworks.com/matlabcentral/answers/278135-how-can-i-combine-the-matrix-a-and-matrix-b-to-generate-the-random-matrix? Please don't post duplicate questions and delete either that question or this one.