[Solved] Given the following partial memoization cache after computi... Given the following partial memoization cache after computing diameter for a binary tree, which of these trees could produce this cache? | Tree: Depth-First Search

Tree: Depth-First Search - Diameter of Binary Tree

Given the following partial memoization cache after computing diameter for a binary tree, which of these trees could produce this cache? Memo cache: {node1: 3, node2: 1, node3: 2} where values represent subtree heights.

AA skewed tree with all nodes on the left

BA balanced tree with root node1, left child node2, right child node3

CA tree with node1 as leaf and node2, node3 as internal nodes

DA tree with node1 disconnected from node2 and node3

Step-by-Step Solution

Solution:

Step 1: Interpret memo cache
Node1 height=3, node2=1, node3=2 suggests node1 is root with children node2 and node3.
Step 2: Match tree structure
Balanced tree with node1 root, node2 left child (height 1), node3 right child (height 2) fits cache.
Final Answer:
Option B -> Option B
Quick Check:
Cache heights correspond to balanced tree structure [OK]

Quick Trick: Memo heights reflect subtree structure

Common Mistakes:

MISTAKES

Misinterpreting heights as diameters
Assuming skewed tree for given heights

Trap Explanation:

PITFALL

Candidates confuse memo heights with diameters or ignore subtree relations.

Interviewer Note:

CONTEXT

Tests deep understanding of memoization and tree height relations

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More Tree: Depth-First Search Quizzes

Given the following partial memoization cache after computing diameter for a binary tree, which of these trees could produce this cache?

Step 1: Interpret memo cache

Step 2: Match tree structure

Final Answer:

Quick Check:

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