Questions
FIT1008-FIT2085_S1_2025 Week 11 Workshop Quiz
Multiple choice
I want to generate a balanced BST from a list with numbers from 1 to 10 inclusive and apply no self-balancing. To do that, what order should I insert items in?
Options
A.a. 5, 2, 1, 4, 3, 8, 6, 7, 9, 10
B.b. 5, 1, 2, 4, 3, 8, 6, 7, 9, 10
C.c. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
D.d. 5, 2, 1, 3, 4, 8, 7, 6, 10, 9
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Step-by-Step Analysis
We’re asked to evaluate insertion orders for 1..10 that produce a balanced binary search tree (BST) without any self-balancing mechanism.
Option a. 5, 2, 1, 4, 3, 8, 6, 7, 9, 10
- Root is 5. The left subtree (5’s left) is built from 2, 1, 4, 3, forming a structure where 2 has a left child 1 and a right child 4, which itself has a left child 3. The right subtree (5’s right) is built from 8, 6, 7, 9, 10, with 8 having left 6 (which has right 7) and right 9 (which has right 10).
- Check balance at each node: At node 2 (left side), the left subtree height is 1 (node 1) and the right subtree h......Login to view full explanationLog in for full answers
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