of log n finds the optimal solution and if the noise is bigger than that then it does not and if i plot this expression into so so again open problem prove this conjecture and if i plot this expression into my face diagram that is the blue line you see that that one is perfectly agreeing with the points that i got previously by numerically solving this integral differential dynamical mean field equation so so this this seems to be explaining whether or not the gradient flow work works and i can do exactly the same