For a string s ∈ {0, 1} let denote the number represented by in the binary * s2 s numeral system. for example 1110 in binary has a value of 14 . consider the language: l = {u#w | u, w ∈ {0, 1} , u } , * 2 + 1 = w2 meaning it contains all strings u#w such that u + 1 = w holds true in the binary system. for example, 1010#1011 ∈ l and 0011#100 ∈ l . construct a tm that decides this language.

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