Kth Largest Element Using Max Heap in DSA Javascript - Build from Scratch

Kth Largest Element Using Max Heap

📖 Scenario: You have a list of exam scores from students. You want to find the kth largest score to see who scored in the top ranks.

🎯 Goal: Build a program that uses a max heap to find the kth largest element in a list of numbers.

📋 What You'll Learn

Create an array called scores with exact values

Create a variable called k to hold the rank number

Build a max heap from the scores array

Extract the maximum element k times to find the kth largest score

Print the kth largest score

💡 Why This Matters

🌍 Real World

Finding the kth largest value is useful in ranking systems, like finding the top scores in exams or the highest sales in a store.

💼 Career

Understanding heaps and selection algorithms is important for software engineers working on data processing, search engines, and performance optimization.

1

Create the scores array

Create an array called scores with these exact values: 85, 42, 96, 73, 58, 99, 67

DSA Javascript

// Create the scores array with the given values
// Your code here

Hint

Use const scores = [85, 42, 96, 73, 58, 99, 67]; to create the array.

2

Set the kth largest rank

Create a variable called k and set it to 3 to find the 3rd largest score

DSA Javascript

const scores = [85, 42, 96, 73, 58, 99, 67];
// Create the variable k and set it to 3
// Your code here

Hint

Use const k = 3; to set the rank.

3

Build max heap and extract kth largest

Write a function called buildMaxHeap that takes an array and builds a max heap. Then write a function called extractMax that removes and returns the largest element from the heap. Use these functions to extract the maximum element k times from scores and store the last extracted value in a variable called kthLargest

DSA Javascript

const scores = [85, 42, 96, 73, 58, 99, 67];
const k = 3;
// Write buildMaxHeap and extractMax functions
// Extract max k times and save in kthLargest
// Your code here

Hint

Use heapify to build the max heap. Extract max k times to get the kth largest.

4

Print the kth largest score

Write a console.log statement to print the value of kthLargest

DSA Javascript

const scores = [85, 42, 96, 73, 58, 99, 67];
const k = 3;

// ... heap functions and extraction code ...

// Print the kth largest score
// Your code here

Hint

Use console.log(kthLargest); to print the result.