3. Divide the following functions into classes so that two functions f(n) and g(n) are in the same class if and only if f(n) is (g(n)). Arrange the classes from the lowest order of magnitude to the highest. (5 pts) Note: There could be one or several functions in a class. 100n, n210n,loglogn,nlgn,(lgn)2,lglgn99,lgn4,99999,3n,log4n, 12n4+1,3n+2