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Consider the following program, which we will refer to as s: while(n > 1){ } if (even (n)) then{n=n/2} else{n 3n+1} Assume that even

Consider the following program, which we will refer to as s: while(n > 1){ } if (even (n)) then{n=n/2} else{n 3n+1} Assume that even (n) returns true if n is even and false otherwise. a) Show the steps of evaluation to evaluate s with the state = {n = 5} until it reaches skip. You can define shorthands, e.g., let b be the body of the while loop, and use notations like 2 to skip boring steps. Do not skip over any steps that perform state updates. You don't need to show work for the evaluation of expressions (e.g., below we realize that (n> 1) = T and (even(n)), but don't show that). The first couple steps are shown as an example. > (s, {n = 5}) (b; s, {n = 5}} (n=3n+1;s, {n = 5}) b) What is M(s, )? You don't need to show work.

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