The value of $$\cot \left(\sum_{n = 1}^{23}\cot^{-1} \left(1 + \sum_{k = 1}^n 2k\right)\right)$$ is

A

$$\frac{23}{25}$$

B

$$\frac{25}{23}$$

C

$$\frac{23}{24}$$

D

$$\frac{24}{23}$$