Question: A robot named Wall-E wanders around a two-dimensional grid. He starts out at (0, 0) and is allowed to take four different types of steps:

A robot named Wall-E wanders around a two-dimensional grid. He starts out at (0, 0) and is allowed to take four different types of steps: (+2, -1) 2. (+1, -2) (+1, +1) 4. (-3, 0) Thus, for example, Wall-E might walk as follows. The types of his steps are listed above the arrows. (0, 0) rightarrow^1 (2, -1) rightarrow^3 (3, 0) rightarrow^2 (4, -2) rightarrow^4 (1, -2) rightarrow. .. Wall-E's true love, the fashionable and high-powered robot, Eve, awaits at (0, 2). Describe a state machine model of this problem. Will Wall-E ever find his true love? Either find a path from Wall-E to Eve, or use the Invariant Principle to prove that no such path exists. A robot named Wall-E wanders around a two-dimensional grid. He starts out at (0, 0) and is allowed to take four different types of steps: (+2, -1) 2. (+1, -2) (+1, +1) 4. (-3, 0) Thus, for example, Wall-E might walk as follows. The types of his steps are listed above the arrows. (0, 0) rightarrow^1 (2, -1) rightarrow^3 (3, 0) rightarrow^2 (4, -2) rightarrow^4 (1, -2) rightarrow. .. Wall-E's true love, the fashionable and high-powered robot, Eve, awaits at (0, 2). Describe a state machine model of this problem. Will Wall-E ever find his true love? Either find a path from Wall-E to Eve, or use the Invariant Principle to prove that no such path exists
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