Question: Is it possible to find a DFA that accepts the same language as the PDA M = ( { q 0 , q 1 }

Is it possible to find a DFA that accepts the same language as the PDA
M=({q0,q1},{a,b},{z},,q0,z,{q1})
with
(q0,a,z)={(q1,z)}
(q0,b,z)={(q0,z)}
(q1,a,z)={(q1,z)}
(q1,b,z)={(q0,z)}?
Is it possible to find a DFA that accepts the

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