Create a random walk program with certain variations in Processing. Clamp the values to make sure they always stay within a particular range. The range therefore would be 0 and the width for the x value, and 0 and height for the y value. The user interface includes:

-A start button to clear the previous result and begin a new random walk

-A checkbox to control whether or not the color ramps up based on the number of iterations (should go from black (0,0,0) to white (255,255,255))

-A checkbox to control whether the random walk is executed all at once, or gradually (one frame at a time)

-A slider control the maximum number of iterations, with a range of 100 to 50,000

-A slider control the number of steps to be executed at once in the gradual process, with a range of 1 to 200

-The rendered data itself, the visual result of the random walk algorithm you implement