Question: THIS IS JAVA PROGRAMMING... - Nine coins are placed in a 3x3 matrix with some face up and some face down. You can represent the

THIS IS JAVA PROGRAMMING...

-Nine coins are placed in a 3x3 matrix with some face up and some face down. You can represent the state

of the coins using a 3x3 matrix with values 0 (heads) and 1 (tails). Here are some examples:

0 0 0 1 0 1 1 1 0
0 1 0 0 0 1 1 0 0
0 0 0 1 0 0 0 0

1

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

numbers: 000010000 101001100 110100001

-There are a total of 512 possibilities, so you can use decimal numbers 0, 1, 2, 3,..., 511 to represent all the states of

the matrix.

QUESTION:

Write a program that prompts the user to enter a number between 0 and 511 and displays the corresponding matrix

with the characters H and T

SAMPLE RUN #1 JAVA HEADSANDTAILS:

Enter an integer representing the state of the coins: 255

H T T
T T T
T T T

SAMPLE RUN #2 JAVA HEADSANDTAILS:

Enter an integer representing the state of the coins: 107

H H T
T H T
H T T

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