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Is there a TM with space complexity of s(n)=4n 2 , |Sigma|=2, |Gamma|=8 and |Q|=12, such that there exists some input x in Sigma*, on

Is there a TM with space complexity of s(n)=4n2, |Sigma|=2, |Gamma|=8 and |Q|=12, such that there exists some input x in Sigma*, on which the TM halts exactly after 1020 steps? Prove it.

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