In the circuit given below, for transistors Q$1,$ Q$2$ and Q$3,$ VBE$($on$)=0\mathrm{.}7$V$,$ VBE$($sat$)=0\mathrm{.}8$V$,$ VCE$($sat$)=0\mathrm{.}2$V and $=100.$ For Zener diode, VZ $=5\mathrm{.}6$V$.$ R$1=2560.$

The circuit consisting of transistors Q$1$ and Q$2,$ R$1,$ R$2$ and R$3$ is called $$Schmitt Trigger$.$ Transistors $($Q$1,$ Q$2$ and Q$3)$ are either cut$-$off or saturation. Neglect the base currents of the transistors while solving.

Analyze this circuit theoretically and draw the transfer characteristic $($v$0-$vIN$)$ of the given circuit according to the input voltage of the output voltage. In the calculations, it should be written in a way that there are at least four $(4)$ digits after the decimal point.