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DSA · Theory

Largest BST in Binary Tree

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Theory

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Largest BST in Binary Tree

Don’t start Largest BST in Binary Tree with jargon. Start with folder on disk. That is the whole point.

For Largest BST in Binary Tree, a dry-run table is in play. Don’t blame it until you have traced folder on disk.

Skip Largest BST in Binary Tree and unbalanced BST becoming a list shows up in a file explorer.

Largest BST in Binary Tree shows up in a file explorer. Name folder on disk, not “a real-world scenario”.

If folder on disk breaks under Largest BST in Binary Tree, check unbalanced BST becoming a list first.

After Largest BST in Binary Tree, Farhan should still remember unbalanced BST becoming a list.

Close Largest BST in Binary Tree with: “If I skip it, folder on disk goes wrong like this: unbalanced BST becoming a list.”

Diagram
      8
     / \
    3   10
   / \
  1   6
Exam tip

Board: folder on disk. Dry-run Largest BST in Binary Tree. Name the trap: unbalanced BST becoming a list.

Example

class Node:
    def __init__(self, val):
        self.val = val
        self.left = None
        self.right = None

def insert(root, val):
    if root is None:
        return Node(val)
    if val < root.val:
        root.left = insert(root.left, val)
    elif val > root.val:
        root.right = insert(root.right, val)
    return root

root = None
for v in [5, 2, 7, 1]:
    root = insert(root, v)
print(root.val, root.left.val, root.right.val)

Largest BST in Binary Tree — bST invariant: left < node < right — enables log-time search when balanced.

Short notes

  • DefLargest BST in Binary Tree — Farhan uses it for folder on disk in a file explorer.
  • RuleLargest BST in Binary Tree → left < root < right.
  • RememberLargest BST in Binary Tree + a dry-run table (a file explorer).
  • UseLargest BST in Binary Tree in a file explorer (folder on disk).
  • TrapLargest BST in Binary Tree — unbalanced BST becoming a list.
  • ExLargest BST in Binary Tree → folder on disk.

Questions

1

Define Largest BST in Binary Tree without jargon. Then point at folder on disk.

2

If you skip Largest BST in Binary Tree, what breaks in a file explorer?

3

How do you catch unbalanced BST becoming a list?

4

Show Largest BST in Binary Tree in a dry-run table terms — three lines max.

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