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This PR improves performance and adds robustness to several algorithms:

  • Replace iterative solutions with mathematical formulas in sumSquare and sumTriangle for better performance
  • Optimize countPairs using HashMap to reduce complexity from O(n²) to O(n)
  • Add null checks and array bounds validation in countDuplicates
  • Modernize sumMatrix with Java 8 Stream API features

Technical changes:

  • Added java.util dependencies (HashMap, Map, Arrays)
  • Replaced nested loops with mathematical formulas where possible
  • Implemented safety checks for null inputs and array bounds
  • Leveraged Stream API for cleaner array processing

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