Write the truth table for a combinational circuit that takes three inputs, $x,y$ and $z$ and that behaves as follows:

If the input if less that $6,$ the integer part of the output implements $F=\sqrt[\phantom{2}]{3\text{i}\text{n}\text{p}\text{u}\text{t}}$

Otherwise, the output implements the integer part of the function $F=\sqrt[\phantom{2}]{2\text{i}\text{n}\text{p}\text{u}\text{t}}$