Then its quiet simple.
See earliar also i explained that metals have infinite dielectric constant.
So here the capacitance is the resultant of series combination of C1 and C2. Say Ceff
Here C1 = capacitance of the unfilled region = C/2
C
2 = Capactance of the region filled with metallic slab =

So Ceff = C1 x C2 / (C1 + C2)
Under the limiting case when C
2 tends to

Ceff = C1 = C/2