Rank these time bounds in increasing order of growth: (The functions will be given as LATEX code )

(0) 4^{\log n}

(1) 2^n

(2) 2^{n^2}

(3) 2

(4) n^3

(5) n^2 \log n

(6) \log^2 n

(7) \sqrt{n}

(8) \log n^2

(9) 2n

(10) n^4

(11) n \log n

(12) n!

(13) 2^{\log n}

(14) n^2 (15) 4^n