Given an array of element 5, 7, 9, 1, 3, 10, 8, 4. Which of the following are the correct sequences of elements after inserting all the elements in a min-heap?

Category: QuestionsGiven an array of element 5, 7, 9, 1, 3, 10, 8, 4. Which of the following are the correct sequences of elements after inserting all the elements in a min-heap?
Editor">Editor Staff asked 4 weeks ago

Given an array of element 5, 7, 9, 1, 3, 10, 8, 4. Which of the following are the correct sequences of elements after inserting all the elements in a min-heap?
 
(a) 1,3,4,5,7,8,9,10
 
(b) 1,4,3,9,8,5,7,10
 
(c) 1,3,4,5,8,7,9,10
 
(d) 1,3,7,4,8,5,9,10
 
My doubt stems from Binary Heap in section Heap of Data Structures & Algorithms I
 
The question was asked during an online exam.

1 Answers
Editor">Editor Staff answered 4 weeks ago

The correct choice is (a) 1,3,4,5,7,8,9,10
 
Easy explanation – Building a min-heap the result will a sorted array so the 1, 3, 4, 5, 7, 8, 9, 10 is correct. If we change the implementation strategy 1, 4, 3, 8, 9, 5, 7, 10 is also correct. (First filling the right child rather than left child first).