Sort the following 25 functions from asymptotically smallest to asymptotically largest, indi- cating ties if there are any. You do not need to turn in proofs (in fact, please don't turn in proofs). 42 lg n n2.1 lg* (n) 1+ lg lg lg n cos(n) + 2 VIgn lgn (lg* n)lgn n5 lg* 222" 21gn 4i 3=D1 n3/(2lgn) n (2n) 12 + [lg lg n] (lg n)gn 15n (1+ 154) n lg* n n'/lg lgn. n'g lgn lg201 n n'/125