How can I get the intersection, union, and subset of arrays in Ruby?

Utilizing the fact that you can do set operations on arrays by doing &(intersection), -(difference), and |(union).

Obviously I didn't implement the MultiSet to spec, but this should get you started:

class MultiSet
  attr_accessor :set
  def initialize(set)
    @set = set
  end
  # intersection
  def &(other)
    @set & other.set
  end
  # difference
  def -(other)
    @set - other.set
  end
  # union
  def |(other)
    @set | other.set
  end
end

x = MultiSet.new([1,1,2,2,3,4,5,6])
y = MultiSet.new([1,3,5,6])

p x - y # [2,2,4]
p x & y # [1,3,5,6]
p x | y # [1,2,3,4,5,6]

I assume X and Y are arrays? If so, there's a very simple way to do this:

x = [1, 1, 2, 4]
y = [1, 2, 2, 2]

# intersection
x & y            # => [1, 2]

# union
x | y            # => [1, 2, 4]

# difference
x - y            # => [4]

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