3 Show the result of performing three deleteMin operations in the heap of theprevious

Chapter 6, Problem 6.3

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QUESTION:

3 Show the result of performing three deleteMin operations in the heap of theprevious exercise.

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QUESTION:

3 Show the result of performing three deleteMin operations in the heap of theprevious exercise.

ANSWER:

Step 1 of 2

Consider that the below heap to apply the deleteMin operation:

                                                   

The deleteMin operation deletes the minimum value from the heap, which is the root. In a heap above, when 1 is deleted, the root candidates will be 3 and 2. To satisfy the heap order, choose the minimum value that is 2. This follows down the length of the heap in a similar fashion. The heap after the first deletion is given below:

                                                     

The second deleteMin operation will delete the next minimum value from the heap, which is the root again. In the heap above, when 2 will be deleted, the candidates for the root will be 3 and 4. To satisfy the heap order, choose the minimum value that is 3. This follows down the length of the heap in a similar fashion. The heap after the second deletion is given below:

                                                       

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