Direction: A 3-ary max heap is like a binary max heap, but instead of 2 children, nodes have 3 children. A 3-ary heap can be represented by an array as follows: The root is stored in the first location, a[0], nodes in the next level, from left to right is stored from a[1] to a [3]. The nodes from the second level of the tree from left to right are stored from a[4] location onward. An item x can be inserted into a 3-ary heap containing n items by placing x in the location a[n] and pushing it up the tree to satisfy the heap property.
-
Which one of the following is a valid sequence of elements in an array representing 3 – ary max heap?
-
- 1, 3, 5, 6, 8, 9
- 9, 6, 3, 1, 8, 5
- 9, 3, 6, 8, 5, 1
- 9, 5, 6, 8, 3, 1
- 1, 3, 5, 6, 8, 9
Correct Option: D
Create max heap for options.
Here in options (a), (b) and (c), value present at node is not greater than all its children. Hence (d) is correct option.