What is MIN-Heap? Create the MIN-Heap for the given list 6, 15, 30, 22, 43, 10

A Min-Heap is a complete binary tree in which the value in each internal node is smaller than or equal to the values in the children of that node. Mapping the elements of a heap into an array is trivial: if a node is stored at index k, then its left child is stored at index 2k + 1 and its right child at index 2k + 2.

Steps to create Min-Heap:

1. Start from the first index of the list, i.e., index 0.
2. For each index i, check the values of its children. If the value of i is greater than any of its children, swap the values.
3. Continue this process until the entire list satisfies the Min-Heap property.

Let's create a Min-Heap for the given list: 6, 15, 30, 22, 43, 10

Step	List	Comment
1	6, 15, 30, 22, 43, 10	Initial list
2	6, 15, 10, 22, 43, 30	Swap 30 and 10
3	6, 15, 10, 22, 43, 30	No swap needed
4	6, 15, 10, 22, 43, 30	No swap needed
5	6, 10, 15, 22, 43, 30	Swap 15 and 10
6	6, 10, 15, 22, 43, 30	No swap needed

So, the final Min-Heap is: 6, 10, 15, 22, 43, 30

This Min-Heap can be visualized as follows:

        6
       / \
      10  15
     / \  /
    22 43 30

In this Min-Heap, the parent nodes 6, 10, and 15 are smaller than their respective children, which satisfies the Min-Heap property.