Question

Insert the following integers, one at a time and in the order given, to a binary min heap. (Do not use the buildheap operation.) 50, 10, 25, 44, 36, 7. The integer items are stored in a basic array, according to the implicit representation presented in the lecture videos. Assume that the root item is stored at index 1. To indicate the state of the binary min heap after all items have been inserted, fill in the blank by providing the integer item stored at each array index.

Answer 1

To insert the given integers into a binary min heap, we insert each integer one by one, maintaining the min heap property.

Step-by-step explanation:

To insert the given integers into a binary min heap, we will start with an empty heap and insert each integer one by one. We will maintain the property that the value of each node is smaller than or equal to the values of its children. Starting with the first integer, 50, we insert it at the root of the heap. Then we insert the other integers in order, comparing them with their parent nodes and swapping if necessary to maintain the min heap property.

After inserting all the integers, the resulting binary min heap will have the following items stored in the array:

1. 7
2. 10
3. 25
4. 44
5. 36
6. 50