A rectangular foundation of $1$m x $2$m is as shown. Estimate the secondary consolidation settlement $($to $1^{st}$ decimal pt$.)$ at the middle of clay layer $5$ years after the completion of primary consolidation which takes $1\mathrm{.}3$ years, based on the one$-$dimensional consolidation theory. $=dr\frac{y}{?}$ moist unit weight; ${}_{\text{s}\text{a}\text{t}}=$ saturated unit weight; $E_s=$ soil Young's modulus; $v_s=$ soil Poisson' ratio; $e_0=$ initial void ratio; $C_c=$ primary compression index; $=$ secondary compression index; and $q_0$ of $150k\frac{N}{m^2}$ is the pressure imposed later at footing base. $($Hint: $<mn>5</mn><mn>0</mn><mi>m</mi><mi>m</mi><mtext></mtext><mi>)</mi>$