Suppose that instead of partitioning matrices by index calculation in

MATRIX$-$MULTIPLY$-$RECURSIVE, you copy the appropriate

elements of $A,B,$ and $C$ into separate $\frac{n}{2}\frac{n}{2}$ submatrices $A_{11},A_{12},$

$A_{21},A_{22}$;$B_{11},B_{12},B_{21},B_{22}$; and $C_{11},C_{12},C_{21},C_{22},$ respectively.

After the recursive calls, you copy the results from $C_{11},C_{12},C_{21},$ and

$C_{22}$ back into the appropriate places in $C.$ How does recurrence $(4\mathrm{.}9)$

change, and what is its solution?