House Robber III
Understand how to apply backtracking to the House Robber III problem where houses form a binary tree. Learn to calculate the maximum amount of money that can be robbed without triggering alarms by avoiding adjacent nodes. Practice implementing a solution that balances traversal and decision making effectively.
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Statement
A thief has discovered a new neighborhood to target, where the houses can be represented as nodes in a binary tree. The money in the house is the data of the respective node. The thief can enter the neighborhood from a house represented as root of the binary tree. Each house has only one parent house. The thief knows that if he robs two houses that are directly connected, the police will be notified. The thief wants to know the maximum amount of money he can steal from the houses without getting caught by the police. The thief needs your help determining the maximum amount of money he can rob without alerting the police.
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