Tree-dp

4 articles

dsa6 min read

House Robber III — Tree DP with Pair Return (LC 337)

LC 337 House Robber III extends the classic House Robber DP to a binary tree where adjacent nodes cannot both be robbed. The optimal O(n) solution uses post-order DFS returning a (rob, skip) pair — a fundamental tree DP pattern tested at Amazon and Microsoft.

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dsa6 min read

Binary Tree Cameras — LC 968 Greedy 3-State DFS

LC 968 Binary Tree Cameras asks for the minimum number of cameras to monitor all nodes. The O(n) greedy solution assigns three states per node in a bottom-up DFS — delay camera placement as high as possible, a pattern tested at Amazon and Google.

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dsa6 min read

Binary Tree Maximum Path Sum — LC 124 Hard DFS Interview Classic

LC 124 Binary Tree Maximum Path Sum finds the highest-value path in a binary tree where the path can start and end at any node. The O(n) solution uses a post-order DFS that tracks the global max while returning only one branch to the parent — a critical FAANG interview problem at Amazon, Google, and Facebook.

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dsa6 min read

Maximum Sum BST in Binary Tree — LC 1373 Post-Order Metadata

LC 1373 Maximum Sum BST in Binary Tree finds the highest sum among all BST subtrees of a binary tree. The O(n) solution uses post-order DFS returning a 4-tuple of (is_bst, min, max, sum) metadata — a hard FAANG problem tested at Amazon and Google.

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