The start state is 1, and the final state is 3.
We can write the equations:
$x_1 = (0,1)x_2$
$x_2 = (0,1)x_1 + 1x_3$
$x_3 = \epsilon$
Substituting $x_3 = \epsilon$ into the second equation, we get $x_2 = (0,1)x_1 + 1$.
Substituting this into the first equation, we
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