DSA · Theory

Floor and Ceiling in Binary Search Tree

Theory

320/810

Floor and Ceiling in Binary Search Tree

Floor and Ceiling in Binary Search Tree is a DSA topic. In plain words you use it for folder on disk in a file explorer. Don’t start with a slogan — start with that picture.

Smallest example: left < root < right. Type it, run it, and say what you see. If you can do that from memory, you know Floor and Ceiling in Binary Search Tree.

From the example next to this theory: Floor and Ceiling in Binary Search Tree — binary search halves a sorted array each step — O(log n).

Trap — unbalanced BST becoming a list. Fix that before you talk about advanced DSA.

Viva — what is Floor and Ceiling in Binary Search Tree? Then show left < root < right. Then name the trap.

Diagram

Exam tip

What is Floor and Ceiling in Binary Search Tree? Show this: left < root < right. Trap: unbalanced BST becoming a list.

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))

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

Short notes

DefFloor and Ceiling in Binary Search Tree — folder on disk in a file explorer.
Ruleleft < root < right
Trapunbalanced BST becoming a list
Usea file explorer

DSA · Theory

Floor and Ceiling in Binary Search Tree

← All stacks

Theory

320/810

Floor and Ceiling in Binary Search Tree

Floor and Ceiling in Binary Search Tree is a DSA topic. In plain words you use it for folder on disk in a file explorer. Don’t start with a slogan — start with that picture.

Smallest example: left < root < right. Type it, run it, and say what you see. If you can do that from memory, you know Floor and Ceiling in Binary Search Tree.

From the example next to this theory: Floor and Ceiling in Binary Search Tree — binary search halves a sorted array each step — O(log n).

Trap — unbalanced BST becoming a list. Fix that before you talk about advanced DSA.

Viva — what is Floor and Ceiling in Binary Search Tree? Then show left < root < right. Then name the trap.

Diagram

Exam tip

What is Floor and Ceiling in Binary Search Tree? Show this: left < root < right. Trap: unbalanced BST becoming a list.

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))

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

Short notes

DefFloor and Ceiling in Binary Search Tree — folder on disk in a file explorer.
Ruleleft < root < right
Trapunbalanced BST becoming a list
Usea file explorer

Floor and Ceiling in Binary Search Tree

Example

Short notes

Questions

Floor and Ceiling in Binary Search Tree

Example

Short notes

Questions