What might really happen if P=NP?
Hi, I have been recently interested in this topic. Together with my schoolmate, we may have found an algorithm to solve an NPcomplete problem, but nothing is sure for now, so I won't go into much detail about it, except that it should be able to determine the solvability of the said problem in O(n^{6}) and find a solution in O(n^{12})  take the Otimes with a grain of salt, I may have made a mistake when determining them.
So my question is: How much of use (and in which areas of science and life) would this algorithm have if it turned out to be correct?
I heard and read about GPS navigation ride routing, for example. How big and complicated of a ride would need to be planned in order for it to benefit from the algorithm?
