Update EggDropping.java

[manishraj27]

Changes Made

1. Improved Documentation

   • Added comprehensive class-level JavaDoc
   • Added detailed method documentation with @param and @return tags
   • Added time and space complexity analysis (O(nmm) time, O(n*m) space)
   • Added comments explaining DP state transitions and base cases

2. Code Quality Improvements

   • Made class final and constructor private (utility class best practice)
   • Added try-catch block in main method for better error handling

The core dynamic programming algorithm remains unchanged, maintaining its educational value while improving code quality and documentation.

• [x] I have read CONTRIBUTING.md.
• [x] This pull request is all my own work -- I have not plagiarized it.
• [x] All filenames are in PascalCase.
• [x] All functions and variable names follow Java naming conventions.
• [x] All new algorithms have a URL in their comments that points to Wikipedia or other similar explanations.
• [x] All new code is formatted with clang-format -i --style=file path/to/your/file.java

[codecov-commenter]

Codecov Report

Attention: Patch coverage is 65.00000% with 7 lines in your changes missing coverage. Please review.

Project coverage is 72.96%. Comparing base (fd14016) to head (0ae0173).

Files with missing lines	Patch %	Lines
.../thealgorithms/dynamicprogramming/EggDropping.java	65.00%	6 Missing and 1 partial :warning:

Additional details and impacted files

```diff @@ Coverage Diff @@ ## master #6047 +/- ## ============================================ - Coverage 72.97% 72.96% -0.01% + Complexity 5029 5028 -1 ============================================ Files 655 655 Lines 17588 17590 +2 Branches 3387 3386 -1 ============================================ + Hits 12834 12835 +1 - Misses 4262 4263 +1 Partials 492 492 ```

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[manishraj27]

@siriak please review it!