Edit: Fixed Martin DeMello code.
When I run the Martin DeMello code (accepted answer) I get:
[["B", "C", "E", "F"], ["A", "B", "C", "D"], ["F", "G"]] =>
[["B", "C", "E", "F", "A", "D", "G"], ["A", "B", "C", "D"], ["F", "G"]]
and
[["B", "C", "E", "F"], ["A", "B", "C", "D"], ["G"], ["G", "H"]] =>
[["B", "C", "E", "F", "A", "D"], ["A", "B", "C", "D"], ["G", "H"], ["G", "H"]]
which doesn't seem to fit your specification.
Here is my approach using several of his ideas:
a = [["B", "C", "E", "F"], ["A", "B", "C", "D"], ["F", "G"]]
b = [["B", "C", "E", "F"], ["A", "B", "C", "D"], ["G"], ["G", "H"]]
def reduce(array)
h = Hash.new {|h,k| h[k] = []}
array.each_with_index do |x, i|
x.each do |j|
h[j] << i
if h[j].size > 1
# merge the two sub arrays
array[h[j][0]].replace((array[h[j][0]] | array[h[j][1]]).sort)
array.delete_at(h[j][1])
return reduce(array)
# recurse until nothing needs to be merged
end
end
end
array
end
puts reduce(a).to_s #[["A", "B", "C", "D", "E", "F", "G"]]
puts reduce(b).to_s #[["A", "B", "C", "D", "E", "F"], ["G", "H"]]