Find the expression of the program below for T(n), the number of times hello is printed, as a function of n, showing the details whenever possible. You can assume n is a power of 2 & give T(n) in its simplest notation.

for i = 1 to n {  for j = 1 to n  print hello  k = 1   while (k < n) {  print hello  k = k * 2  } }