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lbest(i,i) = rbest(i,i) = best(i,i) = max{ 0, array[i] }

...
                  lbest(i,k) }, where k = int((j+i)/2)
rbest(i,j) = max{ rbest(i,k) + total(k+1,j),
                  rbest(k+1,j) }, where k = int((j+i)/2)