By using python programming?

 To calculate the largest integer k in the following formula: N 2 2k where k and N are integer For 

To calculate the largest integer k in the following formula: N> 2k where k and N are integer For example, if N = 10, then k will be equal to 3. (a) Define a method calByLoop by using for loop from 0 to N to find the largest k which satisfy above formula. def calByLoop (N) : (b) Write a recursive method calByRec by means of division to calculate the largest value k. def calByRec (N) : (c) Compare their steps using Big O notation. Explain your finding.