Question: Please show how to do the two proofs it asks for in this problem Problem S.,(20 points) Consider the following Scheme function: (define (mystery L)

Please show how to do the two proofs it asks for in this problem Please show how to do the two proofs it asks for

Problem S.,(20 points) Consider the following Scheme function: (define (mystery L) (if (null? L) 0 (if (null? (cdr L)) 1 +1 (mystery (cddr L)))) (a) (5 points) What is (mystery (list 12 34)) What is (mystery (list 1 2 3 4 5))? (b) (5 points) What is the function computed by mystery? Justify your answer with a proof. (c) (10 points) Now change the last line of mystery so the new definition becomes: (define (mystery L) (if (null? L)0 (if (null? (cdr L)) 1 +(mystery (cdr L)) (mystery (cddr L) What function does mystery now compute? Justify your answer with a proof. Problem S.,(20 points) Consider the following Scheme function: (define (mystery L) (if (null? L) 0 (if (null? (cdr L)) 1 +1 (mystery (cddr L)))) (a) (5 points) What is (mystery (list 12 34)) What is (mystery (list 1 2 3 4 5))? (b) (5 points) What is the function computed by mystery? Justify your answer with a proof. (c) (10 points) Now change the last line of mystery so the new definition becomes: (define (mystery L) (if (null? L)0 (if (null? (cdr L)) 1 +(mystery (cdr L)) (mystery (cddr L) What function does mystery now compute? Justify your answer with a proof

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