Consider a processor that runs at 3 GHz and 1 Volt. When running a given CPU-bound program, the processor consumes 100 W, of which 20 W is leakage. The program takes 20 seconds to execute. The processor is capable of running at different voltages and frequencies. Can you compute the following values:

(i) The smallest time it takes to execute the program.

(ii) The lowest power to execute the program.

(iii) The lowest energy to execute the program.

Assumptions: The processor is capable of executing safely at voltages between 0.8 V to 1.2 V. Voltage and frequency follow a linear relationship (i.e., if voltage doubles, frequency doubles as well).