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DSA · Theory

Binary Search Tree

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Theory

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Binary Search Tree

Binary Search Tree sits in a file explorer. Riya’s job is folder on disk. Write that first.

Do Binary Search Tree once by hand. left < root < right. Change one input. Say the new result out loud.

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

Use Binary Search Tree when folder on disk must stay clear. If a simpler DSA step works, use that instead.

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

After Binary Search Tree, Riya should still remember unbalanced BST becoming a list.

Viva for Binary Search Tree — what it is → left < root < right → the mistake (unbalanced BST becoming a list).

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

For Binary Search Tree: definition + a file explorer + one failure.

Example

def binary_search(arr, target):
    lo, hi = 0, len(arr) - 1
    while lo <= hi:
        mid = (lo + hi) // 2
        if arr[mid] == target:
            return mid
        if arr[mid] < target:
            lo = mid + 1
        else:
            hi = mid - 1
    return -1

print(binary_search([1, 3, 5, 7, 9], 7))

Binary Search Tree — binary search halves a sorted array each step — O(log n).

Short notes

  • DefBinary Search Tree — Riya uses it for folder on disk in a file explorer.
  • RuleBinary Search Tree → left < root < right.
  • RememberBinary Search Tree + Big-O (a file explorer).
  • UseBinary Search Tree in a file explorer (folder on disk).
  • TrapBinary Search Tree — unbalanced BST becoming a list.
  • ExBinary Search Tree → folder on disk.

Questions

1

Define Binary Search Tree without jargon. Then point at folder on disk.

2

When would Riya actually reach for Binary Search Tree?

3

How do you catch unbalanced BST becoming a list?

4

Change one input on folder on disk. Predict the new result.

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