Question: Draw this as a DFA please : Start - - > { q 0 } { q 0 } - - a - - >

Draw this as a DFA please :
Start -->{q0}
{q0}--a-->{q0, q1}
{q0}--b-->{q0}
{q0, q1}--a-->{q0, q1, q2}
{q0, q1}--b-->{q0}
{q0, q1, q2}--a-->{q0, q1, q2}
{q0, q1, q2}--b-->{q0, q2}
{q0, q2}--a-->{q0, q1}
{q0, q2}--b-->{q0, q2}

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