Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at $$100^\circ C$$, while the other one is at $$0^\circ  C$$. If the two bodies are brought into contact, then, assuming no heat loss, the final common temperature is

A

more than $$50^\circ C$$

B

less than $$50^\circ C$$ but greater than $$0^\circ C$$

C

$$0^\circ C$$

D

$$50^\circ C$$