The calculation performed in the chaos program can be written in a number of ways that are algebraically equivalent. Write a version of the chaos program for each of the following ways of doing the computation. Have your modified programs print out 100 iterations of the function and compare the results when run on the same input.(a) 3.9 * x * (1 - x)(b) 3.9 * (x - x * x)(c) 3.9 * x - 3.9 * x * xExplain the results of this experiment.