Consider a sequential system that has a input x$($t$)$ in $\{0,1,2,3,4,5,6,7,8,9\}$

and one bit as output y$($t$)$ in $\{0,1\}.$ The output is one if the number of times the pattern $53$ has occurred in x$(0,$ t$)$ is even. Otherwise, the output is zero. Show the state diagram of the system.