Outline an argument that shows how a two-way TM could b e simulated on a TM using

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Outline an argument that shows how a two-way TM could b e simulated on a TM using the trick of interlacing cells on the TAPE. That is, the TAPE starts with a $ in cell i, and then cell ii represents cell 0 on the two-way TM, cell iii on the TM represents cell i on the two-way TM, cell iv on the TM represents cell - i on the two-way TM, cell v represents cell ii, and so on. Show how to simulate the two-way TM instructions on this arrangement for a TM.

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