Design a Turing machine with input alphabet {0, l} that accepts an input string u if i) u=R(M) w

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Step 1: Understand the problem. The Turing machine we need to design must accept a string $u$ if

Design a Turing machine with input alphabet $\{0, l\}$ that accepts an input string $u$ if i) $u=R(\mathrm{M}) w$ for some Turing machine $\mathrm{M}$ and input string $w$, and ii) when $\mathrm{M}$ is run with input $w$, there is a transition in the computation that prints a 1 .