A sequential circuit has one input (X) and two outputs (Z₁ and Z₂). An output Z₁ = 1 occurs every time the input sequence 010 is completed, provided that the sequence 100 has never occurred. An output Z₂ = 1 occurs every time the input 100 is completed. Note that once a Z₂ = 1 output has occurred, Z₁ = 1 can never occur but not vice versa. Find the Mealy state graph and state table (minimum number of states is eight).