suppose we have a system with the current value of F(xo=2)where xo is some initial point in the search space. The system wants to slide down to the minimum value of F(x)(the lowest point of F(xi)). Assume F(x)=2X2 4,device a mechanism for the system such that it autonomously keeps sliding down to the minimum point of F(x)each time xi moves to Xi 1 where xi 1=Xj 0.5.How many steps does the system need to reach the minimum point of F(x)(the bottom)?Write code to simulate the behavior of this system in its attempt to reach the goal listing all the values of xi and F(xi).