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40 changes: 38 additions & 2 deletions lib/possible_bipartition.rb
Original file line number Diff line number Diff line change
@@ -1,4 +1,40 @@
# goal - start with first dog, assign it's disliked dogs to opposite groups
# then look at disliked dog's disliked dogs and assign them to groups
# if the disliked dog's disliked dogs groups are already assigned and conflict
# return false
# create an array to store group num for each dog
# create a queue to use to check dog dislikes
# when happen upon current dog, add to visited
# for each current dog, assign it's disliked dogs to a group

# time: O(E + N)?
# space: O(N)
require 'set'

def possible_bipartition(dislikes)
raise NotImplementedError, "possible_bipartition isn't implemented yet"
end

return true if dislikes.empty?

group_nums = [1]
q = Queue.new
q.enq(0)
seen_before = Set.new

while !q.empty?
current_dog = q.deq
if !seen_before.include?(current_dog)
seen_before.add(current_dog)
dislikes[current_dog].each do |disliked_dog|
if !group_nums[disliked_dog]
group_nums[disliked_dog] = group_nums[current_dog] == 1 ? 0 : 1
q.enq(disliked_dog)
else
return false if group_nums[disliked_dog] == group_nums[current_dog]
end
end
end
dislikes[current_dog].empty? ? q.enq(1) : current_dog
end

return true
end