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P2 [25 points] Let Cartesian TM be a TM variant, where we have a 2D tape instead of 1D. The head starts at down-left corner

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P2 [25 points] Let Cartesian TM be a TM variant, where we have a 2D tape instead of 1D. The head starts at down-left corner and it can go left, right, up and down. The input is written to the first line as shown in the figure below. Show that this TM model is equivalent to the ordinary TM model

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