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Consider the language L whose strings are binary encodings (leading zeroes are ignored) of multiples of 17. L contains , 0, 00, 10001, 000010001, but

Consider the language L whose strings are binary encodings (leading zeroes are ignored) of multiples of 17. L contains , 0, 00, 10001, 000010001, but not 10, 11, 0001. Prove that L is regular.

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