can't do something well the first sort of very useful way in which the lower bounds were uses for algorithm engineering so if I prove that a lower bound on a particular mathematical formalization or a problem that just often just means that the way you set the problem formally is not the right sort of way it's math it just not going to help you if you try for all this if you set if you wrote the problem down in this way so so you could try something else you try to read for me at the problem go back to it and and see if you