Question: Consider an 8 8 grid as pictured below. We can cover the grid with a bunch of 2 1 dominoes. For example, we can just
Consider an grid as pictured below.
We can cover the grid with a bunch of dominoes. For example, we can just place horizontal dominoes on each row.
Suppose we remove the bottom two corners. Then we can still cover the grid with dominoes. For example, we can do the same thing as before, but with only dominoes in the bottom row.
Return to the original grid. This time, remove the bottomleft and topright corners. Now can you cover the grid with a bunch of dominoes?
Your challenge is to answer the question in the rd bullet point. That is can the grid still be covered by dominoes? If so how? If not, can you prove it's impossible?
If you don't solve it that's ok just discuss your thoughtsprogress on the problem.
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