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Consider the following recursive function:
int p( int x)
{
if (x =< 3)
return x;
else
return p(x-1) * p(x-3);
} // end p
Let m (x) be the number of multiplication operations that the execution of p(x) performs.
a. Write a recursive definition of m (x).
b. Prove that your answer to part a is correct by using mathematical induction.
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1.) Write a program that will define the following string manipulation functions. Each is analogous to thecorresponding C++ string function.
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Fibonacci numbers are really fascinating and turn up in many unexpected places. They are also a good example of recursion. write a recursive method that will calculate the nth Fibonacci number. Now write a method that will do it iteratively.
For a direct-mapped cache design with a 32-bit address, the following bits of address are used to access the cache.
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