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Data Structures
  • Data Structures Manual
  • Arrays
    • Array ADT
    • Linear Search
    • Binary Search
    • Some More Basic Operations
    • Reversing an Array
    • Operations in a Sorted Array
    • Merging Two Arrays
    • Set Operations
    • Finding Missing Elements
    • Duplicates in an Array
    • Getting a Pair whose Sum = K
    • Finding Max & Min in Single Scan
  • Strings
    • Finding the Length of a String
    • Changing Cases in a String
    • Finding Number of Vowels, Consonants & Words
    • Reversing a String
    • Checking for Palindrome
    • Duplicates in a String
    • Checking if Strings are Anagrams
    • Permutations of a String
  • Singly Linked List
    • Displaying the Nodes
    • Counting the Nodes
    • Sum of all Nodes
    • Finding the Maximum Element
    • Searching in a Node
    • Inserting a Node
    • Inserting a Node in Sorted List
    • Deleting a Node
    • Checking if List is Sorted
    • Removing Duplicates from a List
    • Reversing a Linked List
    • Concatenating Two Lists
    • Detecting a Loop in Linked List
    • Merge Two Sorted Lists
    • Finding the Middle Node
  • Cirular Linked List
    • Displaying the Nodes
    • Inserting a Node
    • Deleting a Node
  • Doubly Linked List
    • Inserting a Node
    • Deleting a Node
    • Reversing a Doubly Linked List
    • Circular Doubly Linked List
  • Stack
    • Stack Using Array
    • Stack Using Linked List
    • Balancing Parenthesis
    • Infix to Postfix
    • Evaluation of Postfix Expression
  • Queue
    • Queue using Array
    • Queue using Linked List
    • Double Ended Queue
  • Binary Tree
    • Creating a Binary Tree using Queue
    • Recursive Tree Traversals
    • Iterative Tree Traversals
    • Level Order Traversal
    • Counting Nodes in a Binary Tree
    • Finding the Height of Tree
    • Finding Sum of All Nodes
  • Binary Search Tree
    • Searching in a BST
    • Inserting in a BST
    • Deleting in a BST
  • AVL Tree
    • Inserting in an AVL Tree
    • AVL Tree Rotations
    • Deleting in an AVL Tree
  • Heap
    • Inserting in a Heap
    • Deleting in a Heap
    • Heapify
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  • Some basics :
  • Inserting in a Max Heap :
  • Inserting in a Min Heap :
  • Creating a Heap from Existing Array :

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  1. Heap

Inserting in a Heap

Some basics :

  • Heap is stored in an array representation.

  • Starting index is considered to be 1. Element at index 0 will be 0.

  • For an element in index i, its left child will be at index 2i and right child will be at index 2i + 1.

  • For elements at index > 2, its parent element will be at the floor value of index /2.

Inserting in a Max Heap :

void insertMaxHeap(int h[], int data, int index) {

    // Check if data is greater than parent
    while (index > 1 && data > h[index/2]) {
        h[index] = h[index/2];
        index = index/2;
    }
    h[index] = data;

}

Inserting in a Min Heap :

void insertMinHeap(int h[], int data, int index) {

    // Check if data is lesser than parent
    while (index > 1 && data < h[index/2]) {
        h[index] = h[index/2];
        index = index/2;
    }
    h[index] = data;

}

Creating a Heap from Existing Array :

void createHeap(int h[], int size) {

    for (int i = 2; i <= size; i++) {
        insertMaxHeap(h, h[i], i);
    }

}

// int h[5] = {0, 34, 12, 56, 4}; 
// Heap size is 4. Don't include first index.
// createHeap(h, 4);
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Last updated 4 years ago

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