def create_n_to_tuple(): """Tuple to Integer In set theory, we can represent natural numbers recursively initially with empty sets. https://en.wikipedia.org/wiki/Set-theoretic_definition_of_natural_numbers We will use tuple in place of set to implement this representation. you will define two functions n_to_tuple and tuple_to_n, and return two function. The functions' specification is: n_to_tuple Args: n (int): an integer. Returns: t (tuple): tuple representation of the integer. None if integer cannot be represented. tuple_to_n Args: t (tuple): tuple representation of the integer Returns: n: integer which t represents -1 if tuple is invalid. # We will implement a time test on this function. >>> n_to_tuple, tuple_to_n = create_n_to_tuple() >>> n_to_tuple(0) () >> n_to_tuple(1) ((),) >> n_to_tuple(2) ((), (),)) >>> r = n_to_tuple(-1) >>> print(r) None >>> tuple_to_n(((), (),), ((),), (), ((),)))) # invalid -1 ### Modify your code here return

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
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### Q7: Set to Numbers
def create_n_to_tuple():
"""Tuple to Integer
In set theory, we can represent natural numbers recursively
initially with empty sets.
https://en.wikipedia.org/wiki/Set-theoretic_definition_of_natural_numbers
We will use tuple in place of set to implement this representation.
you will define two functions n_to_tuple and tuple_to_n, and
return two function. The functions' specification is:
n_to_tuple
Args:
n (int): an integer.
Returns:
t (tuple): tuple representation of the integer.
None if integer cannot be represented.
tuple_to_n
Args:
t (tuple): tuple representation of the integer
Returns:
n: integer which t represents
-1 if tuple is invalid.
# We will implement a time test on this function.
>> n_to_tuple, tuple_to_n = create_n_to_tuple()
>> n_to_tuple(0)
()
>> n_to_tuple(1)
((),)
>> n_to_tuple(2)
((), ((),))
>>> r = n_to_tuple(-1)
>>> print(r)
None
>> tuple_to_n(((), (),), (),)), ((), (),)))) # invalid
-1
### Modify your code here
return
### Modify your code here
Transcribed Image Text:### Q7: Set to Numbers def create_n_to_tuple(): """Tuple to Integer In set theory, we can represent natural numbers recursively initially with empty sets. https://en.wikipedia.org/wiki/Set-theoretic_definition_of_natural_numbers We will use tuple in place of set to implement this representation. you will define two functions n_to_tuple and tuple_to_n, and return two function. The functions' specification is: n_to_tuple Args: n (int): an integer. Returns: t (tuple): tuple representation of the integer. None if integer cannot be represented. tuple_to_n Args: t (tuple): tuple representation of the integer Returns: n: integer which t represents -1 if tuple is invalid. # We will implement a time test on this function. >> n_to_tuple, tuple_to_n = create_n_to_tuple() >> n_to_tuple(0) () >> n_to_tuple(1) ((),) >> n_to_tuple(2) ((), ((),)) >>> r = n_to_tuple(-1) >>> print(r) None >> tuple_to_n(((), (),), (),)), ((), (),)))) # invalid -1 ### Modify your code here return ### Modify your code here
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