Consider the following hierarchical state machine with history transition from state B denoted by H and reset transition denoted by red arch: a/b input: a:pure output: b:pure a/ a/b a/ b H-history transition -reset transition Construct an equivalent flat FSM giving the semantics od the hierarchy. Describe in words the input/output behavior of this machine. Is there a simpler machine that exhibits the same behavior? You can use intuition and just consider what the state machine does when it reacts