Write an algorithm that checks if an essentially complete, Data Structure & Algorithms

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Write an algorithm that checks if an essentially complete

Problem

1. Write an algorithm that checks if an essentially complete binary tree is a heap. Analyze your algorithm and show the results using order notation.

2. Show that there are 2 j nodes with depth j for j < d in a heap having n (a power of 2) nodes. here d is the depth of the>

3. Show that a heap with n nodes has n/2 leaves.

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