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# -*- coding: utf-8 -*-
"""assignment-lists-f22.ipynb
Automatically generated by Colaboratory.
Original file is located at
https://colab.research.google.com/drive/1x6L0YQtnlu96uhVtx4vXaPQIWLSICCZ6
### Doubly Linked List
The purpose of this assignment is to make you familiar with implementing a data structure in Python in an object oriented way.
During lectures we implemented a few simple linear data structres: queue, list, deques, stacks. Now we expect you to implement one of these structures yourself.
You are provided with two classes: **Node** and **DoublyLinkedList**. The first one is already implemented (you don't need to modify it), the second one consist only a structure of empty methods defined. Your task is to come up with an implementation of these methods.
_Note_: If a list is doubly linked, each node contains a reference to the _previous_ node in the chain and a reference to the _next_ node.
You are expected to implement every function in DoublyLinkedList. Including the *next()* function, which is used by an iterator object in python. The *map(func)* function applies a function to every element in the list.
All other functions are available in the PSADS book.
## Constructing a Doubly Linked List
The **Node** class implementation is already given:
"""
class Node(object):
"""Doubly linked node which stores an object"""
def __init__(self, element, next_node=None, previous_node=None):
# The underscores are to prevent overwriting the variables if inherited and prevents access from outside of scope
self.element = element
self.next_node = next_node
self.previous_node = previous_node
def __repr__(self):
return str((self.element, self.next_node))
"""The following code snippet is a constructor provided by the **DoublyLinkedList** Python class for the creation of a new doubly linked list. **Extend the snippet below with your implementation of the DoublyLinkedList**. """
class DoublyLinkedList(object):
"""Doubly linked node data structure"""
def __init__(self):
self.__size = 0
self.__header = Node('Header')
self.__trailer = Node('Trailer')
self.__header.next_node = (self.__trailer)
self.__trailer.previous_node = (self.__header)
self.__current = None
def __repr__(self):
"""This needs to work in order to pass the assertions below"""
out = '('
node = self.__header.next_node
for i in range(self.__size):
out += f"({node.element}), "
node = node.next_node
return out[:-2]+')'
def __iter__(self):
"""Standard python iterator method"""
self.__current = None
return self
def __next__(self):
"""Standard python iterator method"""
if self.is_empty():
raise StopIteration()
#beggingin
elif self.__current is None:
self.__current = self.__header
#midds
self.__current = self.__current.next_node
#endo
if self.__current == self.__trailer:
raise StopIteration()
else:
return self.__current
def map(self, function):
"""Run function on every element in the list"""
pass
def size(self):
"""Returns the number of elements in the list"""
return self.__size
def is_empty(self):
"""Returns the number of elements in the list"""
return self.size() == 0
def get_first(self):
"""Get the first element of the list"""
pass
def get_last(self):
"""Get the last element of the list"""
pass
def get_previous(self, node):
"""Returns the node before the given node"""
pass
def get_next(self, node):
"""Returns the node after the given node"""
pass
def add_before(self, new, existing):
"""Insert the new before existing"""
previous = existing.previous_node
previous.next_node = new
new.previous_node = previous
new.next_node = existing
existing.previous_node = new
self.__size += 1
def add_after(self, new, existing):
"""Insert the new after existing"""
pass
def add_first(self, new):
"""Insert the node at the head of the list"""
pass
def add_last(self, new):
"""Insert the node at the tail of the list"""
self.add_before(new,self.__trailer)
def remove(self, node):
"""Remove the given node from the list"""
pass
"""**Task 1 (5 points)**: Using the constructor from the **DoublyLinkedList**, create a new doubly linked list of integers between 0 and 3."""
dL = DoublyLinkedList()
for i in range(4):
dL.add_last(Node(i))
for node in dL:
print(f"NODES: {node}")
print(f"136: {dL}")
# assert str(dL) == f"((0), (1), (2), (3))"
"""## Using a Doubly Linked List
The given **DoublyLinkedList** Python class
contains helpful methods for using a doubly linked list.
Answer the following questions while implementing
the methods of the **DoublyLinkedList** class.
**Task 2 (10 points)**: Implement the `size` method that returns the size of a doubly linked list.
"""
#Test your implementation here
print(dL.size())
assert dL.size() == 4
"""**Task 3 (5 points)**: Implement the `is_empty` method that checks
whether a doubly linked list is empty.
"""
#Test your implementation here
print(dL.is_empty())
dL2 = DoublyLinkedList()
print(dL2.is_empty())
assert dL.is_empty() == False
assert dL2.is_empty() == True
del dL2
"""**T4 (10 points)**: Implement the methods `get_first` and `get_last`
to get the first and the last element of the list, respectively.
_Hint_: Return an exception in case the list is empty.
"""
#Test your implementation here
print(dL.get_first())
print(dL.get_last())
assert str(dL.get_first()) == f"(0, (1, (2, (3, ('Trailer', None)))))"
assert str(dL.get_last()) == f"(3, ('Trailer', None))"
"""**Task 5 (10 points)**: Implement the methods `get_previous` and `get_next`
to get the previous and the next node of the list, respectively.
_Hint_: Return an exception in case the list is empty.
"""
#Test your implementation here
print(dL.get_last().get_previous())
print(dL.get_first().get_next())
assert str(dL.get_last().get_previous()) == "(2, (3, ('Trailer', None)))"
assert str(dL.get_first().get_next()) == "(1, (2, (3, ('Trailer', None))))"
"""**Task 6(10 points)**: Implement the methods `add_before` and `add_after`
to respectively insert new elements before and after a node of the list.
"""
#Test your implementation here
dL.add_after(Node(42),dL.get_first())
dL.add_before(Node(34),dL.get_last())
print(dL)
assert str(dL) == f"((0), (42), (1), (2), (34), (3))"
"""**Task 7 (10 points)**: Implement the methods `add_first` and `add_last`
to respectively insert new nodes in the beginning and in the end of a list.
"""
#Test your implementation here
dL.add_first(Node(7))
dL.add_last(Node(-1))
print(dL)
assert str(dL) == "((7), (0), (42), (1), (2), (34), (3), (-1))"
"""**Task 8 (10 points)**: Implement the method `remove` to remove
a node from a list.
"""
#Test your implementation here
dL.remove(dL.get_first())
print(dL.get_first())
assert dL.get_first().get_element() == 0
"""**Task 9 (10 points)**: Implement the method `map` to apply a function on
each element of a list.
"""
#Test your implementation here
### USE THE MAP FUNCTION HERE
print(dL)
assert str(dL) == "((0), (1764), (1), (4), (1156), (9), (1))"
"""**Task 10 (10 points)**: Implement the method `next` to iterate the elements
of a list.
"""
#Test your implementation here
for node in dL:
print(node.get_element())
dL
"""## Applying methods of the DoublyLinkedList and Node classes
Answer the following questions by using
the implemented methods from the Node and DoublyLinkedList classes.
Apply your operations on the list you created in T1.
**Task 11 (5 points)**: Add 10 to each element of the list of integers in the twenties.
_Hint_: Use the methods `map`.
"""
# WRITE YOUR CODE HERE
print(twenties)
assert str(twenties) == "((20), (21), (22), (23), (24), (25), (26), (27), (28), (29))"
##Write more code here to change the DLL
print(twenties)
assert str(twenties) =="((30), (31), (32), (33), (34), (35), (36), (37), (38), (39))"
"""
**Task 12 (5 points)**: Multiply each element of the list of integers in the twenties by 5.
_Hint_: Use the methods `map`, `get_previous`, and `set_element`."""
# your code here
print(twentyBy5)
assert str(twentyBy5) == "((100), (105), (110), (115), (120), (125), (130), (135), (140), (145))"
"""
**Task 13 (5 points)**: Remove elements that are multiples of 4.
_Hint_: Use the methods `next` and `remove`."""
# Your code here
assert str(twentyBy5) == '((105), (110), (115), (125), (130), (135), (145))'
"""
**Task 14 (5 points)**: Remove elements from the list that are odd numbers.
_Hint_: Use the methods `get_previous` and `remove`."""
# Your code here
assert str(twentyBy5) == '((110), (130))'
"""## Proving performance properties
**T15 (5 points)**: Prove when the complexity to delete a node in a doubly linked list is $O(1)$
and $O(n)$.
"""
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