Suppose that lines $15$ and $16$ in algorithm $3($Fig$.2\mathrm{.}7)$ are replaced by

$15$ int maxLeftSum $=$ maxSumRec$($ a$,$ left, center $-1)$;

$16$ int maxRightSum $=$ maxSumRec$($ a$,$ center, right $)$;

Would the routine still work?