1 [12 marks] Order all the following twelve functions by order of growth from slowest to fastest. That is, find an arrangement fi(n), f2(n),..., /2(n) of these functions such that f1-0(f2(n)), fz-O(fa(n)), , fil-0(2(n)). Partition your list into groups such that two functions f(n) and g(n) are in the same group if and only if f(n) = (g(n))