# Design and Analysis of Algorithm

Consider the following algorithm:

Algorithm Secret(A[0..n 1])

//Input: An array A[0..n 1] of n real numbers

minvalA[0]

maxvalA[0]

for i 1 to n 1 do

if A[i]

minvalA[i]

if A[i]> maxval

maxvalA[i]

return maxval minval

a. What does this algorithm compute?

b. What is its basic operation?

c. How many times is the basic operation executed?

d. What is the efficiency class of this algorithm?

e. Suggest an improvement, or a better algorithm altogether, and indicate its efficiency class. If you cannot do it, try to prove that, in fact, it cannot be done.

Consider the following algorithm: Algorithm Secret (A[0n1]) //Input: An array A[0n1] of n real numbers minval A[0] maxval A[0] for i1 to n1 do if A[i]maxmal maxval A[i] a. What does this algorithm compute? b. What is its basic operation? c. How many times is the basic operation executed? d. What is the efficiency class of this algorithm? e. Suggest an improvement, or a better algorithm altogether, and indicate its efficiency class. If you cannot do it, try to prove that, in fact, it cannot be done