Added Sum of Squares Lagrange's Four Square algorithm implementation #6583
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The implementation includes:
Lagrange's Four Square Theorem algorithm(Very useful for competitive programming students will surely get help)(https://en.wikipedia.org/wiki/Lagrange%27s_four-square_theorem)
Comprehensive test cases covering all scenarios (1, 2, 3, and 4 squares)
Proper documentation and code structure
Edge case handling
clang-format -i --style=file path/to/your/file.java