Draw the state diagram of a synchronous single$-$input Moore$-$type sequential circuit

a one$-$bit X output, and a one$-$bit Y output, which gives Y$=1$ whenever

recognizes the sequence $11011$ at input X in $5$ consecutive clock cycles $($receiving the sequence

done serially from left to right$).$ The sequence may overlap with part of it

previous $($for example the sequence $11011011$ contains the requested sequence twice$).$

Use symbolic names to name the diagram states.