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?
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?
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Python has an inbuilt process, in, for doing this.For instance: x in thislist. You should not use this method
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4061eb31-6ba2-4539-9b51-dd7b05481e7e%2Fbe402f25-ecb8-427b-8122-3cb2d2761fb3%2Fvzf4u3_processed.png&w=3840&q=75)
Transcribed Image Text: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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