Asymptotic relations like O, Ohm, and Theta represent relationships between functions, and these relationships are transitive. That is, if some f(n) = Ohm(g(n)), and g(n) = Ohm(h(n)), then it is also true that f(n) = Ohm(h(n)). This means that we can sort functions by their asymptotic growth.^1 Sort the following functions by order of asymptotic growth such that the final arrangement of functions g_1, g_2, , g_12 satisfies the ordering constraint g_1 = Ohm (g_2), g_2 = Ohm (g_3), , g_11 = Ohm (g_12). Give the final sorted list and identify which pair(s) functions f(n), g(n), if any, are in the same equivalence class, i.e., f(n) = Theta (g(n))