Question: Programs A and B are analyzed and are found to have worst-case running times no greater than and , respectively. Answer the following questions, if possible.
a. Which program has the better guarantee on the running time for large values of N (N > 10,000)?
b. Which program has the better guarantee on the running time for small values of N (N < 100)?
c. Which program will run faster on average for N = 1,000?
d. Can program B run faster than program A on all possible inputs?