Welcome to the fascinating world of Data Structures and Algorithms! Today, we'll explore one of the intriguing concepts - the Left View of a Tree. š”
A tree is a hierarchical data structure consisting of nodes interconnected by edges. Let's visualize a simple binary tree:
1
/ \
2 3
/ / \
4 5 6
In this example, 1 is the root node, and 2, 3, 4, 5, and 6 are the child nodes.
The left view of a tree is a vertical path from the root to the leftmost leaf node. It represents the nodes visible from the leftmost side while traversing down the tree.
Let's visualize the left view of our binary tree:
1
/
2
In this example, the left view consists of the root node (1) and the leftmost child node (2).
To find the left view of a tree, we can perform a level order traversal, but we will only consider nodes from the leftmost side at each level.
Let's implement the algorithm using Python:
class Node:
def __init__(self, key):
self.left = None
self.right = None
self.val = key
def left_view(root):
if not root:
return None
queue = [root]
left_view_list = []
while queue:
size = len(queue)
for _ in range(size):
temp_node = queue.pop(0)
if temp_node not in left_view_list:
left_view_list.append(temp_node.val)
if temp_node.left:
queue.append(temp_node.left)
if temp_node.right:
queue.append(temp_node.right)
return left_view_list
# Test the function
root = Node(1)
root.left = Node(2)
root.right = Node(3)
root.left.left = Node(4)
root.left.right = Node(5)
root.right.right = Node(6)
print(left_view(root)) # Output: [1, 2, 4, 3, 6]The left view of a tree can be used in various real-world applications such as network traffic monitoring, where it represents the earliest incoming packets or requests from each level of the network hierarchy.
What is the left view of the following binary tree?