Question

le) powerset: This function should accept a set or frozenset, and compute its power set: the set of all its subsets. While the input could be a set, the output must be a frozenset (or set) of frozensets; python does not permit mutable sets nested within a set because a mutation could change a set's hashcode and thus its position in the outer hashset containing it. Try writing this inductively as you did for assignment 0. What are the base case and the recursive case? (Hint: You may want to use mutable set's \texttt{set.pop()} to separate an arbitrary set element from the rest of a set. Hint 2: Not knowing if the argument s is a set or frozenset, you can use \texttt{set(s)} or \texttt{frozenset(s)} to instantiate a new set or frozenset based on the argument in either case.)

          le) powerset: This function should accept a set or frozenset, and compute its power set: the set of all its subsets. While the input could be a set, the output must be a frozenset (or set) of frozensets; python does not permit mutable sets nested within a set because a mutation could change a set's hashcode and thus its position in the outer hashset containing it. Try writing this inductively as you did for assignment 0. What are the base case and the recursive case? (Hint: You may want to use mutable set's \texttt{set.pop()} to separate an arbitrary set element from the rest of a set. Hint 2: Not knowing if the argument s is a set or frozenset, you can use \texttt{set(s)} or \texttt{frozenset(s)} to instantiate a new set or frozenset based on the argument in either case.)

le) powerset: This function should accept a set or frozenset, and compute its power set: the set of all its subsets. While the input could be a set, the output must be a frozenset (or set) of frozensets; python does not permit mutable sets nested within a set because a mutation could change a set's hashcode and thus its position in the outer hashset containing it. Try writing this inductively as you did for assignment 0. What are the base case and the recursive case? (Hint: You may want to use mutable set's set.pop() to separate an arbitrary set element from the rest of a set. Hint 2: Not knowing if the argument s is a set or frozenset, you can use set(s) or frozenset(s) to instantiate a new set or frozenset based on the argument in either case.)

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