Let $b_i>1$ for $i=1,2, \ldots, 101$. Suppose $\log _e b_1, \log _e b_2, \ldots, \log _e b_{101}$ are in Arithmetic Progression (A.P.) with the common difference $\log _e 2$. Suppose $a_1, a_2, \ldots ., a_{101}$ are in A.P. such that $a_1=b_1$ and $\mathrm{a}_{51}=\mathrm{b}_{51}$. If $\mathrm{t}=\mathrm{b}_1+\mathrm{b}_2+\ldots .+\mathrm{b}_{51}$ and $\mathrm{s}=\mathrm{a}_1+\mathrm{a}_2+\ldots .+\mathrm{a}_{51}$, then