*IN JAVA*

A Sierpinski Triangle is a fractal formed by drawing a triangle, and then using the midpoints of each side of triangle to form another triangle. This inner triangle is then removed. The result is three smaller triangles (one at the top and one in each corner) on which the process is repeated. After iteration N, the image will contain 3^N traingles, each of which is similar to the original triangle.

Write a program that implements a recursive algorithm for drawing a Sierpinski Triangle. The user interface for the program should include a JSlider that allows the user to select a value for N. The slider should allow the user to pick a value for N between 0 and the maximum value of N possible based on the size of the program window. The maximum slider value should change as appropriate when the window is resized.