Give in terms of $L$ and $N$ the order of complexity in a VQ codebook search, where $L$ is the number of codebook entries and $N$ is the codebook dimension. Consider the following cases: (i) a simple VQ, (ii) a multi-step VQ, and (iii) a split VQ. For (ii) and (iii), use configurations given in Figure 3.12 and Figure 3.14, respectively.