Python (Game: nine heads and tails) Nine coins are placed in a 3 * 3 matrix with some face-up and some face down. You can represent the state of the coins with the values 0 (heads) and 1 (tails). Here are some examples: 000 101 110 101 100

010 001 100 110 111

000 100 001 100 110 Each state can also be represented using a binary number. For example, the pre- ceding matrices correspond to the numbers: 000010000 101001100 110100001 101110100 100111110 There are a total of 512 possibilities. So, you can use the decimal numbers 0, 1, 2, 3, ..., and 511 to represent all states of the matrix. Write a program that prompts the user to enter a number between 0 and 511 and displays the corresponding 3 * 3 matrix with the characters H and T. Here is a sample run: The user entered 7, which corresponds to 000000111. Since 0 stands for H and 1 for T, the output is correct.