In PYTHON, complete the following code:

(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:

Each state can also be represented using a binary number. For example, the preceding 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.

0 0 0 1 0 1 1 1 0 1 0 1 110 0 1 0 0 0 1 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 1 1 0 0 Enter Enter a number between 0 and 511: 7