I need help the problem below (system give me answer is wrong). 1. Write a program to simplify a Boolean expression. The user will enter from the keyboard a string  representing a valid Boolean expression with spaces between the letters. The operators used will be OR (+), AND (*) and NOT (~), and the only valid Input characters will be A, B, +, *, ~, ( , ), 1 and 0.  The expression will contain at most 3 operands, 3 operators and one set of parentheses. Output to the  screen a line printing the simplified equivalent of the given expression. Simplify means outputting the  fewest operators with no parentheses. Use the following list of Boolean Identities to simplify:  Refer to the sample output below. Sample Runs (2): Enter a string: ~(A + B) Simplified expression: ~A * ~B Enter a string: ~A * A + 1

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I need help the problem below (system give me answer is wrong).

1. Write a program to simplify a Boolean expression. The user will enter from the keyboard a string 
representing a valid Boolean expression with spaces between the letters. The operators used will be OR
(+), AND (*) and NOT (~), and the only valid Input characters will be A, B, +, *, ~, ( , ), 1 and 0. 
The expression will contain at most 3 operands, 3 operators and one set of parentheses. Output to the 
screen a line printing the simplified equivalent of the given expression. Simplify means outputting the 
fewest operators with no parentheses. Use the following list of Boolean Identities to simplify: 
Refer to the sample output below.


Sample Runs (2):
Enter a string: ~(A + B)
Simplified expression: ~A * ~B
Enter a string: ~A * A + 1

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