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September 18, 2018 20:02
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Binary Search Tree implementation
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""" | |
Defining Binary Search Tree Data Structure | |
""" | |
class Node: | |
def __init__(self, val, right = None, left = None, parent = None ): | |
## Inspiration: | |
## http://interactivepython.org/runestone/static/pythonds/Trees/SearchTreeImplementation.html | |
self.val = val | |
self.left = left | |
self.right = right | |
self.parent = parent | |
def __str__(self): | |
return str(self.val) | |
def __repr__(self): | |
return repr(self.val) | |
class BSTree(): | |
def __init__(self): | |
self.root = Node(None) | |
def _create(self, val): | |
## BST representaions are not unique | |
## With a given set of numbers, many representations can be drawn. | |
if not self.root.val: | |
self.root.val = val | |
else: | |
current = self.root | |
stop = False | |
while not stop: | |
if val < current.val: | |
if not current.left: | |
current.left = Node(val, parent = current) | |
stop = True | |
else: | |
current = current.left | |
elif val > current.val: | |
if not current.right: | |
current.right = Node(val, parent = current) | |
stop = True | |
else: | |
current = current.right | |
else: | |
stop = True | |
def create_bst(self, arr): | |
for val in arr: | |
self._create(val) | |
def add_value(self, val): | |
self._create(val) | |
def _delete(self, node): | |
parent = node.parent | |
if not(node.left and node.right): | |
if parent.val < node.val: | |
node.val = None | |
parent.right = None | |
else: | |
node.val = None | |
parent.left = None | |
elif node.left and node.right: | |
smallest = node.right | |
while smallest.left: | |
smallest = smallest.left | |
if smallest.parent.val == node.val: | |
node.val = smallest.val | |
smallest.val = None | |
node.right = None | |
else: | |
node.val = smallest.val | |
s_right = smallest.right | |
while s_right.right: | |
s_right = s_right.right | |
s_right.right = node.right | |
node.right = smallest.right | |
smallest.val = None | |
smallest.right = None | |
else: | |
if node.left: | |
child = node.left | |
else: | |
child = node.right | |
if parent.val < node.val: | |
node.val = None | |
parent.right = child | |
else: | |
node.val = None | |
parent.left = child | |
def _search(self, val): | |
current = self.root | |
while True: | |
if current.val == val: | |
return current | |
elif current.val > val: | |
if current.left: | |
current = current.left | |
else: | |
return False | |
else: | |
if current.right: | |
current = current.right | |
else: | |
return False | |
def delete(self, val): | |
## Inspiration : | |
## http://www.algolist.net/Data_structures/Binary_search_tree/Removal | |
if not self.root.val: | |
print("Empty Binary Search Tree! Nothing to delete.") | |
else: | |
node = self._search(val) | |
if not node: | |
print("Value not found!") | |
else: | |
self._delete(node) | |
def breadth_first_traversal(tree): | |
q = [tree.root] | |
while len(q): | |
current = q.pop(0) | |
print(current, end = " ") ## Calls the __str__() method of Node Class | |
if current.left: | |
q.append(current.left) | |
if current.right: | |
q.append(current.right) | |
def dft_pre_order(tree): | |
s = [tree.root] | |
while len(s): | |
current = s.pop() | |
print(current, end = " ") ## Calls the __str__() method of Node Class | |
if current.right: | |
s.append(current.right) | |
if current.left: | |
s.append(current.left) | |
def dft_post_order(tree): | |
s1 = [tree.root] | |
s2 = [] | |
while len(s1): | |
current = s1.pop() | |
s2.append(current) | |
if current.right: | |
s1.append(current.right) | |
if current.left: | |
s1.append(current.left) | |
while len(s2): | |
current = s2.pop() | |
print(current, end = " ") ## Calls the __str__() method of Node Class | |
#### Test Cases #### | |
# arr = [8,3,1,6,4,7,10,14,13] | |
# tree = BSTree() | |
# tree.create_bst(arr) | |
# print("Breadth First Traversal") | |
# breadth_first_traversal(tree) | |
# print("\nPre Order Traversal") | |
# dft_pre_order(tree) | |
# print("\nPost Order Traversal") | |
# dft_post_order(tree) | |
# tree.add_value(5) | |
# tree.add_value(22) | |
# print("\n########################") | |
# print("Breadth First Traversal") | |
# breadth_first_traversal(tree) | |
# print("\nPre Order Traversal") | |
# dft_pre_order(tree) | |
# print("\nPost Order Traversal") | |
# dft_post_order(tree) | |
# tree.delete(5) | |
# tree.delete(22) | |
# print("\n########################") | |
# print("Breadth First Traversal") | |
# breadth_first_traversal(tree) | |
# print("\nPre Order Traversal") | |
# dft_pre_order(tree) | |
# print("\nPost Order Traversal") | |
# dft_post_order(tree) | |
# print() |
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