Examining the slide

Imagine that the we are examining bacteria on a slide under a microscope. The slide is represented as a two-dimensional grid of cells, each of which is either empty or filled. If the cell is empty we associate it with $$0$$ and if the cell is filled we associate it with $$1$$. Any group of cells which are connected horizontally,vertically or diagonally is called a blob. We want to write a program to estimate the severity of infection.

For example, there are $$2$$ blobs in the example above, the largest of which constitutes of $$5$$ cells. What is the size of the largest blob in in this square matrix?

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