For a prototype OpAmp, given VDD$=9$V$,-$VSS$=-9$V$,$ and given $gm2=gm6=gm7=gm8=5mS,gm9=1\mathrm{.}7ms.$ VTN$=1\mathrm{.}4$ V$,$ VTP$=-1\mathrm{.}0$V

$V_{GS1}=V_{GS2}=V_{GS5}=V_{GS}=2\mathrm{.}3V,V_{GS}=V_{GS}=2\mathrm{.}3V,V_{SG10}=V_{SG11}=2\mathrm{.}1V$

Determine the minimum voltage for the common mode input