Question: Implement the following functions: • RootCalculator(): This function estimates the Nth root of the positive number x by stepping through values y = 0.001,0.002, 0.003, and so on until yN > x. Then y is the estimated Nth root of x. Note that this iterative algorithm (brute-force search) yields an estimated Nth root with error tolerance equal to the step size of 0.001. NOTE: The use of the math library is not allowed in this question! It means that you have to calculate the root using a loop and not the pow() function. Dataln(): The function returns 0 if the file datain.txt does not exist. Otherwise, the function reads the content of the input file, assumed to be a sequence of real values, and stores them in an array. Finally the function returns the size of the array. Assume that there will be no more than 100 real values in the input file. • RootsArray(): This function takes an array of double precision values as an input argument and returns two arrays containing the square roots and cube roots of each input array element using the function RootCalculator(). • DataOut(): This function writes the program output (see example below) to an output file called dataout.txt. For example, if the input file datain.txt contains: 5.0 9.0 12.0 14.2 27.0 then dataout.txt must contain: square cube root root 5.00 1.71 9.00 3.00 2.08 12.00 3.46 2.29 14.20 3.77 2.42 27.00 5.20 3.00 Copy and paste your program into the box below.