How many multiplications are performed by the programs named expo and super expo?

Answer 1

The expo program typically performs (O(\log n)) multiplications for exponentiation by squaring, where (n) is the exponent. In contrast, the super expo program, which can refer to a more advanced method like exponentiation by repeated squaring or other optimizations, may perform fewer multiplications depending on its specific implementation and optimizations, often approaching (O(\log \log n)) in some cases. The exact number of multiplications for both programs depends on the implementation details and the value of the exponent.