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(a) Compute 3 273 mod 100 using the efficient modular exponentiation algorithm. Show all intermediate results. (b) How many multiplications does the

(a) Compute 3 273 mod 100 using the efficient modular exponentiation algorithm. Show all intermediate results.

(b) How many multiplications does the algorithm use for this computation?

(c) For the multiplications performed by the algorithm, what is the maximum number of decimal digits in the result?

(d) Suppose that we instead computed the integer 3 273. How many decimal digits does it have?

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