Exercise 2 Let M be the following Turing machine: 1 Input alphabet: E= {0, 1} Tape alphabet: T= {0,1,U} 9o | 91,0, R | qı,0, R q1,0, R| q1.0, R| Ф, Ц, L 91,0, R 91 Set of states: Q = {40, 91, 92, qa, Ir} 92 la L, L ,כ) For each statement indicate whether it is true or false. 1. M loops on all inputs. 2. M loops on some inputs. 3. The language accepted by M is not empty.

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