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Grokking the Coding Interview Patterns

Solution: Binary Tree Cameras

Explore the dynamic programming approach to solve the binary tree cameras problem. Understand how to identify node states, apply recursive calculations, and optimize camera placement to cover all nodes with the minimum number of cameras.

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Statement

You are given the root of a binary tree. Cameras can be installed on any node, and each camera can monitor itself, its parent, and its immediate children.

Your task is to determine the minimum number of cameras required to monitor every node in the tree.

Constraints:

  • The number of nodes in the tree is in the range [1,1000][1, 1000].

  • Node.data ==0== 0

Solution

Each node in the tree can be in one of three possible states, based on how it's monitored:

  • State 0 (Not covered): All the nodes below this node are monitored, but this node is not. ...