3. Write a C++ program that implements the following three algorithms and times them for various values of n .

The program should display a table of the run times of each algorithm for various values of n .

// Algorithm A sum = 0 for i = 1 to n sum = sum + i

// Algorithm B sum = 0 for i = 1 to n { for j = 1 to i sum = sum + 1 }

// Algorithm C sum = n * (n + 1) / 2