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Consider the language L of bitstrings that start with an even length palindrome, followed by a multipe of 4 1 ' s i . e

Consider the language L of bitstrings that start with an even length palindrome, followed by a multipe of 41's i.e.14n , where n is any positive integer. For example 00110011111111 would be in L since it starts with 001100 which is an even length palindrome and ends with 11111111 which is eight 1's. On the other hand, the string 101011111 would not be in L even though it has four 1's at the end, because the preceding string 10101 is not an even length palindrome.
1) Give a Context Free Grammare for L.
2) Show how the sample string 00110011111111 would be derived, using your grammar.
3) Is your grammar ambiguous? Please justify your answer.

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