For two flip-flops $F_{1}$ and $F_{2}$ and input $\mathrm{X}$, the next state and output is given as
\[
\begin{array}{c}
F_{1}(t+1)=\sum(1,2,5,6) \\
F_{2}(t+1)=\sum(3,7) \\
Y\left(F_{1}, F_{2}, X\right)=\sum(4,6)
\end{array}
\]
Write functions for the next state and output of the circuit.
