Now that Anqi Li has taught us a lot about combinatorics, I think we should test our knowledge.
Consider 3 coins (green color) placed on an infinite chessboard (infinite in positive x and positive y direction) as shown. Each coin is a special coin in the sense that each coin can disintegrate into 2 new coins.Follow the diagram to understand this property.
The 4 squares that are encompassed by the red box are the prison. Using the above property, is it possible to have no coins inside the prison? Support your argument with a proof.
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