def doorsopen?(n=100)

doors=[false]*n

	(1..n).each do |i|
		(0..(n-1)).each do |j|
			if ((j+1)%i)==0
				if doors[j]==true
					doors[j]=false
				else
					doors[j]=true
				end
			else
				next
			end
		end
	end
return doors
end