Find Median of Large File (External Sort)

**Problem Statement:** Given the required input arguments, write an efficient algorithm to solve the **Find Median of Large File (External Sort)** problem. Implement the required logic as specified by standard definitions for this classic algorithmic challenge. **Hint / Expected Approach:** Bucket/value-range frequency binary search **Edge Cases to Consider:** - (1) All same values - (2) Even vs odd count - (3) Values at int boundaries

Examples

Example 1

Input: [1,2,3,4,5]

Output: 3

Explanation: Odd count

Example 2

Input: [1,2,3,4]

Output: 2.5

Explanation: Even count

Example 3

Input: [5]

Output: 5

Explanation: Single element

Constraints

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

Watch Out For Edge Cases

▪All same values
▪Even vs odd count
▪Values at int boundaries

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