Heap Insert Operation Bubble Up in DSA Javascript - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is the purpose of the bubble up operation in a heap insert?

The bubble up operation moves the newly inserted element up the heap to restore the heap property, ensuring the parent node is always greater (max-heap) or smaller (min-heap) than its children.

beginner

In a max-heap, when does the bubble up operation stop?

It stops when the inserted element is less than or equal to its parent or when it reaches the root of the heap.

beginner

How do you find the parent index of a node at index i in a heap array?

The parent index is calculated as Math.floor((i - 1) / 2).

intermediate

What happens if the newly inserted element is larger than its parent in a max-heap during bubble up?

They swap places, and the bubble up continues with the new parent index until the heap property is restored.

beginner

Why is bubble up important for heap insert operation?

Because it maintains the heap structure and order after adding a new element, ensuring efficient retrieval of the max or min element.

What is the first step after inserting a new element at the end of a heap array?

A Do nothing

B Remove the root element

C Sort the entire array

D Perform bubble up to restore heap property

After insertion at the end, bubble up moves the element up to maintain heap order.

In a max-heap, if the inserted element is smaller than its parent, what happens during bubble up?

A Stop bubbling up

B Swap with parent

C Swap with child

D Remove the element

Bubble up stops because the heap property is satisfied.

How do you calculate the parent index of a node at index 5 in a heap array?

A 2

B 3

C 4

D 1

Parent index = Math.floor((5 - 1) / 2) = 2.

What data structure property does bubble up help maintain?

A Stack order

B Queue order

C Heap property

D Linked list order

Bubble up restores the heap property after insertion.

Which of these is true about bubble up in a min-heap?

A It moves the element down

B It moves the element up if smaller than parent

C It swaps with the smaller parent

D It swaps with the larger parent

In a min-heap, bubble up moves the element up if it is smaller than its parent.

Explain the bubble up process during a heap insert operation.

Think about how the new element moves up to keep the heap order.

Describe how to find the parent of a node in a heap stored as an array and why this is important for bubble up.

Remember the formula for parent index and its role in bubble up.