Consider a two$-$stage Miller compensated amplifier as shown below. The amplifier has a load capacitance of $CL=1pF,$ and transconductance of the input transistors $($M$1,$ M$2)$ in the first stage is $\frac{1}{5}$ transconductance of the input transistor $($M$6)$ in the second stage. Ignore the right$-$half plane zero formed by Miller compensation for this problem. The amplifier has a gain of $80$ dB $.$

a$)$ For a target phase margin of $45$ degrees, calculate the value of $Cc=$

b$)$ Calculate transconductance of M$1=$ for unity gain frequency of $100$ MHz $.$