Class MaxPairWiseProduct4

java.lang.Object
topics.foundation.maxpairwise.MaxPairWiseProduct4
public class MaxPairWiseProduct4 extends Object

Maximum Pairwise Product (Sorting Strategy)

Evaluates the maximum pairwise product from a dataset of integers loaded from an external text file. This implementation drastically improves upon the O(N²) brute-force method by leveraging a sorting algorithm to instantly identify the two largest values in the sequence.

Complexity

  • Time Complexity: O(N log N) - The time required is strictly dominated by the sorting operation (typically TimSort in Java). This completely eliminates the quadratic bottleneck, allowing the algorithm to handle massive datasets efficiently.
  • Space Complexity: O(N) - Requires linear memory to store the dataset in the collection prior to sorting.
Author:
vicegd

  • Constructor Summary

    Constructors
    Constructor
    Description
    MaxPairWiseProduct4()
    Initializes the computational context by reading a single-line dataset of space-separated integers from the filesystem into memory.

  • Method Summary

    Modifier and Type
    Method
    Description
    long
    compute()
    Computes the maximum mathematical product by sorting the array descending and multiplying the top two absolute maximums.

    Methods inherited from class Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • MaxPairWiseProduct4

      public MaxPairWiseProduct4()
      Initializes the computational context by reading a single-line dataset of space-separated integers from the filesystem into memory.

  • Method Details

    • compute

      public long compute()
      Computes the maximum mathematical product by sorting the array descending and multiplying the top two absolute maximums.

      Note: This specific logic assumes a dataset where the largest product stems from two positive integers.

      Returns:
      The highest mathematical pairwise product found in the dataset.
      Throws:
      IllegalStateException - if the dataset contains fewer than two elements.