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Set Operations

Sets provide efficient operations for working with unique collections and mathematical set theory.

Union, intersection, difference​

  • Union: Combine elements from two sets (A ∪ B)
  • Intersection: Find common elements between sets (A ∩ B)
  • Difference: Find elements in first set but not second (A - B)
  • Symmetric Difference: Elements in either set but not both (A ⊕ B)

Subset & superset problems​

  • Subset Check: Determine if one set is subset of another
  • Superset Check: Determine if one set contains another
  • Proper Subset: Subset that is not equal to parent set
  • Power Set: Generate all possible subsets of a set

Unique element problems​

  • Find Unique: Identify elements that appear only once
  • Remove Duplicates: Eliminate duplicate elements
  • Unique Pairs: Find unique pairs from two sets
  • Unique Combinations: Generate unique combinations

Set-based algorithms​

  • Set Intersection: Efficiently find common elements
  • Set Union: Efficiently combine sets
  • Set Difference: Efficiently find differences
  • Set Membership: Quickly check if element exists

Mathematical set problems​

  • Cardinality: Count number of elements in set
  • Cartesian Product: Generate all ordered pairs
  • Set Partitioning: Divide set into disjoint subsets
  • Set Covering: Find minimum sets that cover universe