[Solved] Given the following memo dictionary after running a memoized Hous... Given the following memo dictionary after running a memoized House Robber III on a tree, which node value is most likely the root? | Tree: Depth-First Search

Tree: Depth-First Search - House Robber III (On Tree)

Given the following memo dictionary after running a memoized House Robber III on a tree, which node value is most likely the root? memo = { id(nodeA): 7, id(nodeB): 3, id(nodeC): 4, id(nodeD): 0 } Where nodeB and nodeC are children of nodeA, and nodeD is a leaf child of nodeB.

AnodeD

BnodeA

CnodeB

DnodeC

Step-by-Step Solution

Solution:

Step 1: Analyze memo values
Root node typically has the highest max rob amount, here 7 at nodeA.
Step 2: Check child values
Children nodeB=3, nodeC=4, leaf nodeD=0, consistent with nodeA being root aggregating children.
Final Answer:
Option B -> Option B
Quick Check:
Highest memo value corresponds to root node [OK]

Quick Trick: Root node has max memoized rob value [OK]

Common Mistakes:

MISTAKES

Confusing leaf or child nodes as root based on values

Trap Explanation:

PITFALL

Candidates may misinterpret memo values without considering tree structure.

Interviewer Note:

CONTEXT

Tests ability to reason backward from DP memoization

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More Tree: Depth-First Search Quizzes

Given the following memo dictionary after running a memoized House Robber III on a tree, which node value is most likely the root?

Step 1: Analyze memo values

Step 2: Check child values

Final Answer:

Quick Check:

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