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For each of the following programs,
 write the algorithm,
 draw the flow chart to solve the problem,
 and write the MATLAB Program with detailed comment.
Consider a set of N numbers, myArray, (represented as a row vector) which is not ordered. Write a function myStats which takes myArray and an integer k such that 1≤k≤N and returns the kth largest and kth smallest element in myArray. Your function should ensure the function is called with valid number of arguments and the validity of the arguments itself. Also note that, you cannot use any built-in functions to order the elements within myArray. You should write your own code to order the data, if necessary.

Function Name: erosion
Inputs (3): - (double) An MxN array representing the heights of the topsoil in a particular area
- (double) An MxN array representing the heights of the bedrock in the same area underneath the topsoil
- (double) An erosion factor
Outputs (1): - (double) An MxN array representing the new heights of the topsoil with the applied erosion factor
Function Description:
Write a function that takes in arrays representing the heights of topsoil and bedrock of the same area and an erosion factor, and outputs the new heights of topsoil with the applied erosion factor. Assume that the topography is uniformly eroded by subtracting the erosion factor from each element of the topsoil array. Since topsoil erodes much more easily than bedrock, the erosion factor can completely erode the topsoil but should not affect the bedrock. For example, for a particular spot that has a topsoil of 34, bedrock of 0, and erosion factor of 26, the new height should be 10 and not 8.