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Inserting a node in a complete binary tree with python

How to insert a node in a complete binary tree without using queue DS? I tried the following code:
class TreeNode:
def __init__(self, value=None) -> None:
self.left = None
self.value = value
self.right = None
class Tree:
def __init__(self, root=None) -> None:
self.__root = root if not root else TreeNode(root)
self.__len = 1 if root else 0
def append(self, data, root="_"):
if self.__root.value is None:
self.__root = TreeNode(data)
self.__len += 1
return
root = self.__root if root == "_" else root
if not root:
return False
if root.left is None and root.right is None:
root.left = TreeNode(data)
self.__len += 1
return True
elif root.left is not None and root.right is None:
root.right = TreeNode(data)
self.__len += 1
return True
elif root.left is not None and root.right is not None:
if self.append(data, root.left):
return
else:
self.append(data, root.right)
return
the recursive call of that function always add the new node on the left side of the tree, so what should I do to make it recursively checks the right side too?

First of all, the first line in your append code seems to give a special meaning to the value in the root node. When it is None it is not considered a real node, but to represent an empty tree. This is not a good approach. An empty tree is represented by a __root that is None -- nothing else. I would also suggest to remove the optional data argument from the constructor. Either the constructor should allow an arbitrary number of values or none at all. To allow one is odd and strengthens the idea that a tree could have a special None in its root node.
To the core of your question. There is nice attribute to complete binary trees. The paths from the root to a leaf can be represented by a bit pattern, where a 0 means "go left" and a 1 means "go right". And the path to the "slot" where a new node should be injected has a relationship with the size of the tree once that node has been added:
new size
binary representation
path to new node
1
1
[]
2
10
[left]
3
11
[right]
4
100
[left,left]
5
101
[left,right]
In general the path to the new node is defined by the bits in the binary representation of the new tree size, ignoring the leftmost 1.
This leads to the following code:
class Tree:
def __init__(self) -> None:
self.__root = None
self.__len = 0
def append(self, data):
self.__len += 1
if self.__len == 1: # First node
self.__root = TreeNode(data)
return
node = self.__root
# Iterate all the bits except the leftmost 1 and the final bit
for bit in bin(self.__len)[3:-1]:
node = [node.left, node.right][int(bit)] # Choose side
if self.__len & 1: # Use final bit to determine where child goes:
node.right = TreeNode(data)
else:
node.left = TreeNode(data)

Removing a node from binary tree

I'm currently working on leetcode problem 366 where we have to find list of lists that contains values of leaves of each generation. I wanted to achieve this by recursion where if a node does not have left or right child, the value is recorded then the node removed by setting it to None. Here is my code:
def findLeaves(self, root: Optional[TreeNode]) -> List[List[int]]:
leaf_list = []
sub_list = []
def traverse(node):
if node == None:
return
if node.left == None and node.right == None:
sub_list.append(node.val)
node = None
return
traverse(node.left)
traverse(node.right)
return root
while True:
if root == None:
break
sub_list = []
traverse(root)
leaf_list.append(sub_list)
print(leaf_list)
return leaf_list
The problem seems to be that when a certain node is set to None, that change isn't retained. Why is it that I can't set a node to None to remove it?
Thanks

The tree can only be mutated when you assign to one if its node's attributes. An assignment to a variable, only changes what the variable represents. Such assignment never impacts whatever previous value that variable had. Assigning to a variable is like switching from one value to another without affecting any data structure. So you need to adapt your code such that the assignment of None is done to a left or right attribute.
The exception is for the root node itself. When the root is a leaf, then there is no parent to mutate. You will then just discard the tree and switch to an empty one (None).
One way to achieve this, is to use the return value of traverse to update the child-reference (left or right) that the caller of traverse needs to update.
Here is your code with those adaptations:
def findLeaves(root):
sub_list = []
def traverse(node):
if not node:
return
if not node.left and not node.right:
sub_list.append(node.val)
return # By returning None, the parent can remove it
node.left = traverse(node.left) # Assign the returned node reference
node.right = traverse(node.right)
return node # Return the node (parent does not need to remove it)
leaf_list = []
while root:
sub_list = []
root = traverse(root)
leaf_list.append(sub_list)
return leaf_list

Linked lists in Python

I have a Linked Lists assignment for school although I am just getting the hang of class constructors. I am trying to simply get the basics of the linked list data structure down, and I understand the basic concept. I have watched lots of Youtube tutorials and the like, but where I am failing to understand is how to print out the cargo or data in my nodes using a loop.
I have written something along these lines:
class Node:
def __init__(self, value, pointer):
self.value = value
self.pointer = pointer
node4 = Node(31, None)
node3 = Node(37, None)
node2 = Node(62, None)
node1 = Node(23, None)
Now...I understand that each node declaration is a call to the class constructor of Node and that the list is linked because each node contains a pointer to the next node, but I simply don't understand how to print them out using a loop. I've seen examples using global variables for the "head" and I've seen subclasses created to accomplish the task. I'm old and dumb. I was wondering if someone could take it slow and explain it to me like I'm 5. If anyone out there has the compassion and willingness to hold my hand through the explanation, I would be greatly obliged. Thank you in advance, kind sirs.

First of all, your nodes should be created something like this :
node4 = Node(31, node3)
node3 = Node(37, node2)
node2 = Node(62, node1)
node1 = Node(23, None)
Now, i am sure you can see that the last node in the list would point to None. So, therefore, you can loop through the list until you encounter None. Something like this should work :
printhead = node4
while True:
print(printhead.value)
if printhead.pointer is None:
break;
else :
printhead = printhead.pointer

This is a very basic linked list implementation for educational purposes only.
from __future__ import print_function
"""The above is needed for Python 2.x unless you change
`print(node.value)` into `print node.value`"""
class Node(object):
"""This class represents list item (node)"""
def __init__(self, value, next_node):
"""Store item value and pointer to the next node"""
self.value = value
self.next_node = next_node
class LinkedList(object):
"""This class represents linked list"""
def __init__(self, *values):
"""Create nodes and store reference to the first node"""
node = None
# Create nodes in reversed order as each node needs to store reference to next node
for value in reversed(values):
node = Node(value, node)
self.first_node = node
# Initialize current_node for iterator
self.current_node = self.first_node
def __iter__(self):
"""Tell Python that this class is iterable"""
return self
def __next__(self):
"""Return next node from the linked list"""
# If previous call marked iteration as done, let's really finish it
if isinstance(self.current_node, StopIteration):
stop_iteration = self.current_node
# Reset current_node back to reference first_node
self.current_node = self.first_node
# Raise StopIteration to exit for loop
raise stop_iteration
# Take the current_node into local variable
node = self.current_node
# If next_node is None, then the current_node is the last one, let's mark this with StopIteration instance
if node.next_node is None:
self.current_node = StopIteration()
else:
# Put next_node reference into current_node
self.current_node = self.current_node.next_node
return node
linked_list = LinkedList(31, 37, 62, 23)
for node in linked_list:
print(node.value)
This doesn't handle many cases properly (including break statement in the loop body) but the goal is to show minimum requirements for linked list implementation in Python.

Binary Tree: How Do Class Instances Link?

I am trying to understand binary trees, but doing so has brought me to confusion about how class instances interact, how does each instance link to another?
My Implementation:
class Node(object):
def __init__(self, key):
self.key= key
self.L = None
self.R = None
class BinaryTree(object):
def __init__(self):
self.root = None
def get_root(self):
return self.root
def insert(self, key):
if self.get_root()==None:
self.root = Node(key)
else:
self._insert(key, self.root)
def _insert(self, key, node):
if key < node.key:
if node.L == None:
node.L = key
else:
self._insert(key, Node(node.L))
if key > node.key:
if node.R == None:
node.R = key
else:
self._insert(key, Node(node.R))
myTree= BinaryTree()
A Scenario
So lets say I want to insert 10, I do myTree.insert(10) and this will instantiate a new instance of Node(), this is clear to me.
Now I want to add 11, I would expect this to become the right node of the root node; i.e it will be stored in the attribute R of the root node Node().
Now here comes the part I don't understand. When I add 12, it should become the child of the root nodes right child. In my code this creates a new instance of Node() where 11 should the be key and 12 should be R.
So my question is 2-fold: what happens to the last instance of Node()? Is it deleted if not how do I access it?
Or is the structure of a binary tree to abstract to think of each Node() connected together like in a graph
NB: this implementation is heavily derived from djra's implementation from this question How to Implement a Binary Tree?

Make L and R Nodes instead of ints. You can do this by changing the parts of your _insert function from this:
if node.L == None:
node.L = key
to this:
if node.L == None:
node.L = Node(key)
There is also a problem with this line:
self._insert(key, Node(node.L))
The way you're doing it right now, there is no way to access that last reference of Node() because your _insert function inserted it under an anonymously constructed node that has no parent node, and therefore is not a part of your tree. That node being passed in to your insert function is not the L or R of any other node in the tree, so you're not actually adding anything to the tree with this.
Now that we changed the Ls and Rs to be Nodes, you have a way to pass in a node that's part of the tree into the insert function:
self._insert(key, node.L)
Now you're passing the node's left child into the recursive insert, which by the looks of thing is what you were originally trying to do.
Once you make these changes in your code for both the L and R insert cases you can get to the last instance of Node() in your
10
\
11
\
12
example tree via myTree.root.R.R. You can get its key via myTree.root.R.R.key, which equals 12.

Most of you're questions come from not finishing the program; In your current code after myTree.insert(11) you're tree is setting R equal to a int rather than another Node.
If the value isn't found then create the new node at that point. Otherwise pass the next node into the recursive function to keep moving further down the tree.
def _insert(self, key, node):
if key < node.key:
if node.L == None:
node.L = Node(key)
else:
self._insert(key, node.L)
if key > node.key:
if node.R == None:
node.R = Node(key)
else:
self._insert(key, node.R)
P.S. This isn't finished you're going to need another level of logic testing incase something is bigger than the current Node.key but smaller than the next Node.

How could I make this singly linked list into a doubly linked list?

I've created a linked list in Python, and it is singly linked. This works perfectly fine, but I want to implement it so it's doubly linked, but I'm having trouble figuring out how to do it.
# node class
class node:
def __init__(self):
self.data = None # contains the data
self.next = None # contains the reference to the next node
# linked list class
class linked_list:
def __init__(self):
self.cur_node = None
def add_node(self, data):
new_node = node() # create a new node
new_node.data = data
new_node.next = self.cur_node # link the new node to the 'previous' node.
self.cur_node = new_node # set the current node to the new one.
def list_print(self):
node = self.cur_node # cant point to ll!
while node:
print(node.data)
node = node.next
I know I need to add self.previous to the node class, and I think I need to add something to the linked list constructor and add_node function, but I'm not sure where to start.
I don't actually need to use this functionality in a program, I'm just trying to learn about how linked lists are implemented at a lower level.

It's not so much a coding problem as a conceptual problem. You need to figure out how you want your code to behave. Implementing the desired behavior is not (in this case) at all difficult.
Say we want these behaviors:
# construction
dlist = DoublyLinkedList()
# access to head and tail nodes
dlist.head # should return the head node
dlist.tail # should return the tail node
dlist.head.prev is None # should be True
dlist.tail.next is None # should be True
# adding nodes at both ends
dlist.add_head()
dlist.add_tail()
# iteration in both directions
for node in dlist:
# do something to the node
for node in reversed(dlist):
# do something to the node
When you have written out the desired behavior like this, you'll also have got some test code ready.
Now let's start by modifying the Node class (you should use CamelCase for class names):
class Node:
def __init__(self, data=None, prev=None, next=None):
self.data = data
self.prev = prev
self.next = next
def __repr__(self):
return '<{}, {}>'.format(self.data, self.next)
We add prev since that's obviously needed. But we also improve on your original version by having data and next as parameters, so you can have these values set when a node is created. And __repr__ is always nice to have, for debugging if not for anything else.
Now for the list itself. The key is, (a) instead of one cur_node, you need two handles on the list, which I've been calling head and tail, and (b) when adding nodes, the very first node is a special case where we have to make changes to both head and tail.
class DoublyLinkedList:
def __init__(self):
self.head = None
self.tail = None
def __repr__(self):
return '<DoublyLinkedList {}>'.format(self.head)
def add_head(self, data=None):
if self.head is None:
self.head = self.tail = Node(data) # the very fist node
else:
new_head = Node(data=data, next=self.head) # prev is None
self.head.prev = self.head = new_head
def add_tail(self, data=None):
if self.tail is None:
self.head = self.tail = Node(data) # the very first node
else:
new_tail = Node(data=data, prev=self.tail) # next is None
self.tail.next = self.tail = new_tail
# implements iteration from head to tail
def __iter__(self):
current = self.head
while current is not None:
yield current
current= current.next
# implements iteration from tail to head
def __reversed__(self):
current = self.tail
while current is not None:
yield current
current = current.prev
Let's test this
>>> dlist = DoublyLinkedList()
>>> print(dlist)
<DoublyLinkedList None>
>>> dlist.add_head(1)
>>> dlist.add_tail(2)
>>> dlist.add_tail(3)
>>> dlist.add_head(0)
>>> print(dlist) # __repr__ is such a nice thing to have
<DoublyLinkedList <0, <1, <2, <3, None>>>>>
>>> print(dlist.head)
<0, <1, <2, <3, None>>>>
>>> print(dlist.tail)
<3, None>
>>> print(dlist.head.prev is None, dlist.tail.next is None)
True, True
>>> print(dlist.tail.prev.next is dlist.tail)
True
>>> [node.data for node in dlist]
[0, 1, 2, 3]
>>> for node in reversed(dlist):
... print(node.data, node)
3 <3, None>
2 <2, <3, None>>
1 <1, <2, <3, None>>>
0 <0, <1, <2, <3, None>>>>

For a doubly linked list, you should have, each node should have a reference to the previous node. This means that you will need to modify your add and remove methods to also assign this reference.