One of the interesting things we can do with nested loops is generate dynamic patterns based on user input. We'll start off by making a simple demonstration of this - a checkerboard pattern. You will prompt the user to enter a width and height, then print out a pattern based off of these dimensions. Make sure to check if the input values are greater than 0 before letting the user continue! Your pattern should alternate between the "" and ""symbols, and each row should start with the opposite symbol from the start of the previous row (E.g. 1st row starts with "", 2nd row starts with "", 3rd row once again starts with "", and so on). You can copy and paste the characters from this PDF to add them to your print statements. Hint: The mod operator's ability to determine if a number is even or odd will really help with this assignment! Call the file name Assignment4B(.java, .cs, .cpp) and the class name Assignment4B. User input is indicated in bold. Sample Output #1: Enter the checkerboard's width: 9 Enter the checkerboard's height: 5