1, Below is a list of ten functions on n!1 20, n0.5, 1, 8logn, Vlogn,105,4n,log log n, Vn log n, 5000n +25 logn a. Arrange them in increasing order of growth rate. b. Among the functions above, which ones are polynomial (i.e., there is a constant c > 1 so that the function is 0(n-)? c. Among the functions above, which ones are exponential (i.e., there is a constant a 1 so that the function is S2(a")? 2. Let n and b be positive integers such thatn > b1. Consider the loops below. Com- pute the number of iterations each loop has to go through. How does it compare with log, n? Is it (log, n)? (log, n)? or O(log, n)? Loopl(n) while n > 1 endwhile Loop2(n) while n > 100 endwhile Loop3(n) while n