# Start bucket coloring
	fun colorize(buckets: Map[H, Set[E]]): Map[E, Int] do
		compute_conflicts(buckets)
		var min_color = 0
		for holder, hbuckets in buckets do
			for bucket in hbuckets do
				if colors.has_key(bucket) then continue
				var color = min_color
				while not is_color_free(bucket, color) do
					color += 1
				end
				colors[bucket] = color
				color = min_color
			end
		end
		return colors
	end