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In Java Write a recursive program that checks if an user give language belongs to the following language: L(S : S is in the form

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Write a recursive program that checks if an user give language belongs to the following language: L"(S : S is in the form of Ag for some n >#0) Thus a string is in L If and only if It starts with an A and is followed by twice as many B's. For example, ABB, AABBBB,... are in L but AAB or ABBB, etc. are not In L. The empty string also exist in L

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