Trees
Build a Binary Tree
Create a fixed seven-node binary tree and render its shape.
Algorithm
The canonical tree is 4(2(1,3),6(5,7)), so this Python DSA
implementation can be compared directly with the rest of the DSA track.
Basic Implementation
basic.py
class Node:
def __init__(self, value, left=None, right=None):
self.value = value
self.left = left
self.right = right
def render(node):
if node is None:
return "_"
if node.left is None and node.right is None:
return str(node.value)
return f"{node.value}({render(node.left)},{render(node.right)})"
def sample_tree():
n1 = Node(1)
n3 = Node(3)
n2 = Node(2, n1, n3)
n5 = Node(5)
n7 = Node(7)
n6 = Node(6, n5, n7)
return Node(4, n2, n6)
root = sample_tree()
print(render(root))
Complexity
- Time: O(n)
- Space: O(n)
Implementation notes
- Render tree structure explicitly instead of printing node objects.
- The replay highlights the node, traversal state, queue, path, or search cursor that changes at each step.
node links
A node stores one value plus references to its left and right children.