Here is the pseudocode for the divide and conquer algorithm for the maximum contiguous sum

with a print statement added:

function mes$(A,L,R)$

if $L=R$

return$(A[L])$

else

$C=\frac{L+R}{\frac{?}{?}}2$

Lax$=mct(A,L,C)$

Rax$=$mes$(A,C+1,R)$

Lhas $=-$infinity

Lhsum $=0$

for i $-$ C downto L inclusive

Lhsun $=$ Lhsun $+$ A$[$i$]$

if Lhsum $>$ Lhnax

Lhnax $-$ Lhsun

end

end

Rhnax $=-$infinity

Rhsum $=0$

for $i=C+1$ to $R$ inclusive

Rhaun $=$ Rhsun $+$ A$[$i$]$

if Rhsum $>$ Rhnax:

Rhnax $-$ Rhsun

end

end

Snax $=$ Lhnax $+$ Rhnax

print $($Lmax $+",+$ Smax $+","+$ Rnax$)$

end if

end function

Suppose this code is run on a list of length $8$ with the following incomplete output where we've

replaced some output by variables.

$=1,1,2$

$0,4,4$

$2,a,b$

$=1,2,3$

$8,10,2$

$c,d,10$

$e,18,13$

$18$

$($a$)$ What was the original list? You do not need to know the values of the variables to answer

this.

$($b$)$ What are the values of the variables?