BUILDING JAVA PROGRAMS-TEXT
BUILDING JAVA PROGRAMS-TEXT
5th Edition
ISBN: 2810023481209
Author: REGES
Publisher: PEARSON
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Chapter 18.2, Problem 26SCP

Explanation of Solution

Min-heap:

  • A Min-heap is known as a complete binary tree in which the value present in each internal node is smaller than or equal to the values in the children of the respective node.
  • In this case, mapping the elements of a heap into an array is trivial.
  • Example:
    • If a node is stored an index “k”, then its left child is stored at index “2k+1” and its right child at index “2k+2”.
  • In this case, the heap is initially empty and the values 11,9,12,14,3,15,7,8, and 1 are to be added to the empty heap.
  • Therefore, after adding 11,9,12,14,3,15,7,8, and 1 to the heap the result is:

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