Problem1) Use at least two different algorithms and methods to carry out each of the following (a) Using the nested for loops, find the factorials of odd numbers between 15-1 and even numbers between 2 16. (b) Find squares of all numbers between +14 to-14 :Design your square function; (c ) Find cubes of all numbers between -14 to +14:Design your cube function; (d) Find 5th power of all numbers between-10 to +10 using the above square/cube functions (e ) Provide objective comparison about the two different methods you have used