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RED BLACK Tree.py
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269 lines (236 loc) · 8.2 KB
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class Node:
def __init__(self, data):
self.data = data
self.color = "red"
self.left = None
self.right = None
self.parent = None
class RedBlackTree:
def __init__(self):
self.TNULL = Node(0)
self.TNULL.color = "black"
self.root = self.TNULL
def insert(self, key):
node = Node(key)
node.parent = None
node.data = key
node.left = self.TNULL
node.right = self.TNULL
parent = None
current = self.root
while current != self.TNULL:
parent = current
if node.data < current.data:
current = current.left
else:
current = current.right
node.parent = parent
if parent is None:
self.root = node
elif node.data < parent.data:
parent.left = node
else:
parent.right = node
node.color = "red"
self.fix_insert(node)
def fix_insert(self, k):
while k.parent and k.parent.color == "red":
if k.parent == k.parent.parent.right:
u = k.parent.parent.left
if u and u.color == "red":
u.color = "black"
k.parent.color = "black"
k.parent.parent.color = "red"
k = k.parent.parent
else:
if k == k.parent.left:
k = k.parent
self.right_rotate(k)
k.parent.color = "black"
k.parent.parent.color = "red"
self.left_rotate(k.parent.parent)
else:
u = k.parent.parent.right
if u and u.color == "red":
u.color = "black"
k.parent.color = "black"
k.parent.parent.color = "red"
k = k.parent.parent
else:
if k == k.parent.right:
k = k.parent
self.left_rotate(k)
k.parent.color = "black"
k.parent.parent.color = "red"
self.right_rotate(k.parent.parent)
if k == self.root:
break
self.root.color = "black"
def delete(self, data):
self.delete_node(self.root, data)
def delete_node(self, node, key):
z = self.TNULL
while node != self.TNULL:
if node.data == key:
z = node
if node.data <= key:
node = node.right
else:
node = node.left
if z == self.TNULL:
print("Key not found in the tree")
return
y = z
y_original_color = y.color
if z.left == self.TNULL:
x = z.right
self.rb_transplant(z, z.right)
elif z.right == self.TNULL:
x = z.left
self.rb_transplant(z, z.left)
else:
y = self.minimum(z.right)
y_original_color = y.color
x = y.right
if y.parent == z:
x.parent = y
else:
self.rb_transplant(y, y.right)
y.right = z.right
y.right.parent = y
self.rb_transplant(z, y)
y.left = z.left
y.left.parent = y
y.color = z.color
if y_original_color == "black":
self.fix_delete(x)
def fix_delete(self, x):
while x != self.root and x.color == "black":
if x == x.parent.left:
s = x.parent.right
if s.color == "red":
s.color = "black"
x.parent.color = "red"
self.left_rotate(x.parent)
s = x.parent.right
if s.left.color == "black" and s.right.color == "black":
s.color = "red"
x = x.parent
else:
if s.right.color == "black":
s.left.color = "black"
s.color = "red"
self.right_rotate(s)
s = x.parent.right
s.color = x.parent.color
x.parent.color = "black"
s.right.color = "black"
self.left_rotate(x.parent)
x = self.root
else:
s = x.parent.left
if s.color == "red":
s.color = "black"
x.parent.color = "red"
self.right_rotate(x.parent)
s = x.parent.left
if s.right.color == "black" and s.left.color == "black":
s.color = "red"
x = x.parent
else:
if s.left.color == "black":
s.right.color = "black"
s.color = "red"
self.left_rotate(s)
s = x.parent.left
s.color = x.parent.color
x.parent.color = "black"
s.left.color = "black"
self.right_rotate(x.parent)
x = self.root
x.color = "black"
def rb_transplant(self, u, v):
if u.parent is None:
self.root = v
elif u == u.parent.left:
u.parent.left = v
else:
u.parent.right = v
v.parent = u.parent
def left_rotate(self, x):
y = x.right
x.right = y.left
if y.left != self.TNULL:
y.left.parent = x
y.parent = x.parent
if x.parent is None:
self.root = y
elif x == x.parent.left:
x.parent.left = y
else:
x.parent.right = y
y.left = x
x.parent = y
def right_rotate(self, x):
y = x.left
x.left = y.right
if y.right != self.TNULL:
y.right.parent = x
y.parent = x.parent
if x.parent is None:
self.root = y
elif x == x.parent.right:
x.parent.right = y
else:
x.parent.left = y
y.right = x
x.parent = y
def search_tree(self, k):
return self.search_tree_helper(self.root, k)
def search_tree_helper(self, node, key):
if node == self.TNULL or key == node.data:
return node
if key < node.data:
return self.search_tree_helper(node.left, key)
return self.search_tree_helper(node.right, key)
def traverse_in_order(self, node):
if node != self.TNULL:
self.traverse_in_order(node.left)
print(node.data, end=" ")
self.traverse_in_order(node.right)
def minimum(self, node):
while node.left != self.TNULL:
node = node.left
return node
if __name__ == "__main__":
rbt = RedBlackTree()
while True:
print("\nRed-Black Tree Operations:")
print("1. Insert")
print("2. Delete")
print("3. Search")
print("4. Traverse")
print("5. Exit")
choice = int(input("Enter your choice: "))
if choice == 1:
key = int(input("Enter value to insert: "))
rbt.insert(key)
elif choice == 2:
key = int(input("Enter value to delete: "))
rbt.delete(key)
elif choice == 3:
key = int(input("Enter value to search: "))
result = rbt.search_tree(key)
if result != rbt.TNULL:
print(f"Value {key} found in the tree.")
else:
print(f"Value {key} not found.")
elif choice == 4:
print("In-order Traversal: ", end="")
rbt.traverse_in_order(rbt.root)
print()
elif choice == 5:
print("Exiting...")
break
else:
print("Invalid choice. Please try again.")