Vectors, matrices, scalars

Consider a black and white picture. To encode such a picture, we can use a matrix, in which $1$ stands for a white pixel and $0$ stands for a black pixel.

Let's define a following operation that we can apply to a picture:

Put $1$ in every entry of the matrix that has a neighboring entry with a $1$ in it.

For example, the result of an application of that operation to the matrix

$\begin{pmatrix} 1 & 0 & 0 & 0 & 1 & 0\\ 0 & 0 & 0 & 0 & 0 & 0\\ 0 & 0 & 0 & 0 & 0 & 0\\ 0 & 0 & 0 & 1 & 1 & 0\\ 0 & 1 & 0 & 0 & 0 & 0\\ 0 & 0 & 0 & 0 & 0 & 0\\ \end{pmatrix}$would look like this

$\begin{pmatrix} 1 & 1 & 0 & 1 & 1 & 1\\ 1 & 1 & 0 & 1 & 1 & 1\\ 0 & 0 & 1 & 1 & 1 & 1\\ 1 & 1 & 1 & 1 & 1 & 1\\ 1 & 1 & 1 & 1 & 1 & 1\\ 1 & 1 & 1 & 0 & 0 & 0\\ \end{pmatrix}$What will happen if we apply that operation to the following $600 \times 600$ picture?