The integer closest to $$\sqrt{111\ldots1-222\ldots2}$$, where there are $$2018$$ ones and $$1009$$ twos, is

A

$$\frac{10^{1009}-1}{3}$$

B

$$\frac{10^{1009}-1}{9}$$

C

$$\frac{10^{2018}-1}{3}$$

D

$$\frac{10^{2018}-1}{9}$$