A company has two machines. During any day, each machine that is working at the beginning of the day has a chance of breaking down. If a machine breaks down during the day, it is sent to a repair facility and will be working two days after it breaks. (Thus, if a machine breaks down during day 3, it will be working at the beginning of day 5.) Construct a Markov chain for this system and find the one-step transition probability matrix for this situation.

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