In a max-heap, which of the following statements is true?

Practice Questions

Q1
In a max-heap, which of the following statements is true?
  1. The parent is always less than the children
  2. The parent is always greater than the children
  3. The children can be greater than the parent
  4. All elements are in sorted order

Questions & Step-by-Step Solutions

In a max-heap, which of the following statements is true?
  • Step 1: Understand what a max-heap is. A max-heap is a special type of binary tree where the value of each parent node is greater than or equal to the values of its children.
  • Step 2: Identify the max-heap property. This property ensures that for any given node, the value is always greater than or equal to the values of its left and right children.
  • Step 3: Apply the max-heap property to a specific example. If you have a parent node with a value of 10, its children can have values like 5 and 7, but not 12, because 12 is greater than 10.
  • Step 4: Conclude that in a max-heap, the statement 'the parent node is always greater than or equal to its children' is true.
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