C Write a recursive algorithm mypowerlist (n) that, given a nat- ural number n as input, returns the "powerlist" (i.e. the power- set expressed as a list) of {1,...,n}. So the output of mypowerlist (2) should be the following list of sets: [set(),{1}, {2}, {1,2}]. Hint: it is obvious what the solution is for n=0. For n+1 note that there are two kinds of subset: those containing n+1, and those not. The latter can be obtained immediately by calling mypowerset (n). How can you obtain the first group?

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C Write a recursive algorithm mypowerlist (n) that, given a nat-
ural number n as input, returns the "powerlist" (i.e. the power-
set expressed as a list) of {1, ...,n}. So the output of mypowerlist (2)
should be the following list of sets: [set(),{1},{2}, {1,2}].
Hint: it is obvious what the solution is for n=0. For n+1 note
that there are two kinds of subset: those containing n+1, and
those not. The latter can be obtained immediately by calling
mypowerset (n). How can you obtain the first group?
Transcribed Image Text:C Write a recursive algorithm mypowerlist (n) that, given a nat- ural number n as input, returns the "powerlist" (i.e. the power- set expressed as a list) of {1, ...,n}. So the output of mypowerlist (2) should be the following list of sets: [set(),{1},{2}, {1,2}]. Hint: it is obvious what the solution is for n=0. For n+1 note that there are two kinds of subset: those containing n+1, and those not. The latter can be obtained immediately by calling mypowerset (n). How can you obtain the first group?
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