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Greedy

Queue Reconstruction by Height

**Problem Statement:** Given the required input arguments, write an efficient algorithm to solve the **Queue Reconstruction by Height** problem. Implement the required logic as specified by standard definitions for this classic algorithmic challenge. **Hint / Expected Approach:** Sort by height desc, then by k asc; insert at index k **Edge Cases to Consider:** - (1) All same height - (2) Already valid order - (3) k > current array length

Examples

Example 1
Input: [[7,0],[4,4],[7,1],[5,0],[6,1],[5,2]]
Output: [[5,0],[7,0],[5,2],[6,1],[4,4],[7,1]]
Explanation: Classic
Example 2
Input: [[6,0],[5,0],[4,0],[3,2],[2,2],[1,4]]
Output: [[4,0],[5,0],[2,2],[3,2],[1,4],[6,0]]
Example 3
Input: [[1,0]]
Output: [[1,0]]
Explanation: Single person

Constraints

  • ▪Input arguments are within valid ranges
  • ▪Optimize for execution speed
  • ▪Handle null/empty inputs gracefully

Watch Out For Edge Cases

  • ▪All same height
  • ▪Already valid order
  • ▪k > current array length
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