Questions
FIT1008-FIT2085 Fundamentals of algorithms - S1 2025
Single choice
What is the index of the right child of a node at index i in an Array representation of a Max heap? Assume the cell at index 0 is empty.
Options
A.a. i/2
B.b. 2i + 1
C.c. 2i
D.d. i-1
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Step-by-Step Analysis
To determine the index of a node's right child in an array-based heap, we rely on the standard indexing scheme for a binary heap.
First, recall the common formulas when using 1-based indexing: the left child of node at index i is at index 2i, and the right child is ......Login to view full explanationLog in for full answers
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Similar Questions
Heap Algo 4 You are using the HeapPriorityQueue class implemented with a binary min-heap, which is stored as an array (Python list) in level-order. The heap currently stores the following key-value pairs: [(2, 'A'), (4, 'B'), (6, 'C'), (8, 'D'), (5, 'E')] After calling remove_min() once, what will be the contents of the heap (in array/list format)? (Assume that the heap properties are restored correctly after the operation.) Pseudocode for remove_min() remove_min(): swap the root with the last element remove the last element (which is the min) call _downheap(0) Pseudocode for _downheap(j) _downheap(j): if left child exists: small_child = left if right child exists and right < left: small_child = right if small_child < j: swap(j, small_child) _downheap(small_child) In this implementation, for an element at index j: Left child is at index 2j + 1 Right child is at index 2j + 2 Parent is at index (j - 1) // 2
A max‑heap is always a:
How many children can a node in a binary heap have?
What is the index of the right child of a node at index i in an Array representation of a Max heap? Assume the cell at index 0 is empty.
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