Question: A robot wanders around a 2 - dimensional grid. He starts out at ( 1 , 1 ) . At any state it is in

A robot wanders around a 2-dimensional grid. He starts out at (1,1). At any state it is in, it can take the following steps: (+1,-4),(-2,+2),(+4,-1) and (0,+3). Define a state machine for this problem. Then, define a Preserved Invariant and prove that the robot can never get to (0,0).

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