Consider the following recursive mediod:
public static int p(int x)
{ if (x<3) {
return x;
}
else {
return p(x-l) * p(x-3);
} // end if
} // end p
Letm(x) be the number of multiplication operations that the execution ofp(x) performs.
a. Write a recursive definition ofm(x).
b. Prove that your answer to Parta is correct by using mathematical induction.
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