In the jungle, \(100\) monkey families live on tree houses, which we think of the little squares arranged on a \(10\times 10\) square grid. Today it turns out that \(9\) of these houses have been infected with Bananavid-19, which spreads every day! Thankfully, a healthy home can only be infected if has at least two infected neighbours (we don’t count diagonals on the grid as neighbours), prove that the infection will not spread to the whole monkey village.