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A FSA which recognizes the set of strings over {a,b} where the number of as is even and the number of bs has remainder one

A FSA which recognizes the set of strings over {a,b} where the number of as is even and the number of bs has remainder one when divided by three.

do they accept or reject this Strings: empty string, aa, baa, aba, aabb, babababab, aabbaabb, aaababbaa, abbbbaa, bbbbbbb

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