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Grokking the Coding Interview Patterns in Go

Solution: Binary Tree Cameras

Explore how to determine the minimum cameras needed to monitor every node in a binary tree by applying dynamic programming. Understand node coverage states and a recursive strategy that balances camera placement for optimal monitoring.

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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 ...