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Tree

Binary Tree Cameras

**Problem Statement:** Given the required input arguments, write an efficient algorithm to solve the **Binary Tree Cameras** problem. Implement the required logic as specified by standard definitions for this classic algorithmic challenge. **Hint / Expected Approach:** Post-order DFS with 3 states (covered/camera/uncovered) **Edge Cases to Consider:** - (1) Single node (needs 1 camera) - (2) Path graph - (3) Perfectly balanced tree

Examples

Example 1
Input: [0,0,null,0,0]
Output: 1
Explanation: One camera covers all
Example 2
Input: [0,0,null,0,null,0,null,null,0]
Output: 2
Explanation: Linear chain needs 2
Example 3
Input: [0]
Output: 1
Explanation: Single node needs 1 camera

Constraints

  • ▪The number of nodes in the tree is in the range [0, 2000]
  • ▪-1000 <= Node.val <= 1000
  • ▪Ensure depth-first or breadth-first traversals are memory-efficient

Watch Out For Edge Cases

  • ▪Single node (needs 1 camera)
  • ▪Path graph
  • ▪Perfectly balanced tree
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