Write a C++ program that read number of elements in a set first and then your program should read the elements of the set. After that display all the possible decimal numbers, corresponding binary numbers, and subsets one by one. For the program, you can assume that the number of elements in a set is less than 10. Sample Run 0: Assume that the user typed the following input. Note that there are three elements in the set with the elements A, B, and C. 3 ABC This is the correct output. 0:000:EMPTY 1:001:C 2:010:B 3:011:B C 4100 :A 5:101:A C 6:110:A B 7:111:A B C The first line indicates that the first decimal number and its binary number are "0" and "000". Note that the first bit 'O' in the binary number is for the element 'A', the second bit '0' for the element B, and the last bit '0' for the element C. Since all three bits in the binary number are '0', the corresponding subset is "EMPTY".

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