Let $$b_i > 1$$ for i = 1, 2, ......, 101. Suppose $$\log_e b_1, \log_e b_2, ......., \log_e b_{101}$$ are in Arithmetic Progression (A.P.) with the common difference $$\log_e 2$$. Suppose $$a_1, a_2, ........, a_{101}$$ are in A.P. such that $$a_1 = b_1$$ and $$a_{51} = b_{51}$$. If $$t = b_1 + b_2 + ....... + b_{51}$$ and $$s = a_1 + a_2 + ..... + a_{51}$$, then

A

$$s > t$$ and $$a_{101} > b_{101}$$

B

$$s > t$$ and $$a_{101} < b_{101}$$

C

$$s < t$$ and $$a_{101} > b_{101}$$

D

$$s < t$$ and $$a_{101} < b_{101}$$