Arrange the following functions in a list so each is big-O of the next one in the list: \text { a) } n^{3}+88 n^{2}+3, \log n^{4}, 3^{n}, n^{2} \log n,

n \cdot 2^{n}, 10900 \text { b) } \log n^{2}, \log \log n, n \log n, \log \left(n^{2}+1\right), \log 2^{n}