Artemis: Refactor and Optimize Mathematical and Array Operations

[mike-turintech]

Summary of Changes:

This pull request focuses on refactoring and optimizing several mathematical and array operations to enhance code efficiency and readability. The following changes have been implemented:

1. sumSquare Method:

   • Simplified the logic by eliminating nested loops, utilizing a single loop to compute the sum of squares using the formula i * i.

2. sumTriangle Method:

   • Refactored to employ a single loop, leveraging the formula (i * (i - 1)) / 2 for calculating triangular numbers, thereby simplifying the computation.

3. countPairs Method:

   • Added checks for null and array length to handle edge cases.
   • Replaced nested loops with a frequency array to count occurrences, improving efficiency by reducing time complexity.
   • Removed division by 2 in the return statement, as the frequency array directly counts pairs.

4. countDuplicates Method:

   • Streamlined logic by removing nested loops, comparing elements at the same index in both arrays up to the minimum length.

5. sumMatrix Method:

   • Enhanced readability by adopting an enhanced for loop to iterate over the 2D array, maintaining functionality.

Benefits:

• Improved Efficiency:

  • The refactoring reduces unnecessary complexity, leading to more efficient code execution.

• Enhanced Readability:

  • The changes make the codebase easier to understand and maintain.

• Robustness:

  • The addition of edge case handling in countPairs ensures the code is more robust and less prone to errors.

These updates collectively contribute to a more efficient and maintainable codebase, ensuring better performance and clarity.