How to draw a Mealy Finite State Machine to detect a text?

Let’s say I want to detect the pattern “PARTY”.


First State: waiting for ‘P’.

If I got P, I go to second State.

Second State: got ‘P’.


Now...(Here’s my question)

If I got A..I’ll go to third state.

If not...I’ll have two options..if I got ‘P’.. I’ll go back to second State. If not, I’ll go back to first state.


Is this how it is supposed to be done?