The objective of the program you are going to produce is to evaluate boolean expressions as the one shown next: Expression: ( V | V ) & F & ( F | V ) where V is for True, and F is for False. The expressions may include the following operators: ! for not, & for and, | for or, the use of parenthesis for operations grouping is also allowed. To perform the evaluation of an expression, it will be considered the priority of the operators, the not having the highest, and the or the lowest. The program must yield V or F, as the result for each expression in the input file. Input The expressions are of a variable length, although will never exceed 100 symbols. Symbols may be separated by any number of spaces or no spaces at all, therefore, the total length of an expression, as a number of characters, is unknown. The number of expressions in the input file is variable and will never be greater than 20. Each expression is presented in a new line, as shown below. Output For each test expression, print "Expression " followed by its sequence number, ": ", and the resulting value of the corresponding test expression. Separate the output for consecutive test expressions with a new line. Use the same format as that shown in the sample output shown below. Sample Input ( V | V ) & F & ( F| V) !V | V & V & !F & (F | V ) & (!F | F | !V & V) (F&F|V|!V&!F&!(F|F&V)) Sample Output Expression 1: F Expression 2: V Expression 3: V
时间: 2024-02-19 07:59:23 浏览: 102
NSGA-II.rar_NSGA_NSGA-II_The Number_evaluate_objective
Here's a Python program that can solve the problem you described:
```python
# Define a helper function to calculate the value of a boolean expression
def evaluate(expression):
stack = []
for symbol in expression:
if symbol == '!':
operand = stack.pop()
stack.append(not operand)
elif symbol == '&':
right_operand = stack.pop()
left_operand = stack.pop()
stack.append(left_operand and right_operand)
elif symbol == '|':
right_operand = stack.pop()
left_operand = stack.pop()
stack.append(left_operand or right_operand)
elif symbol == 'V':
stack.append(True)
elif symbol == 'F':
stack.append(False)
return stack.pop()
# Read input expressions from a file
with open('input.txt', 'r') as input_file:
expressions = input_file.readlines()
# Evaluate each expression and print the result
for i, expression in enumerate(expressions):
expression = ''.join(expression.split()) # remove all whitespace
result = evaluate(expression)
print(f"Expression {i+1}: {'V' if result else 'F'}")
```
You can save the input expressions to a file named `input.txt`, and then run the program to get the output.
Note that the `evaluate()` function uses a stack to keep track of the operands and operators in the expression. It starts by iterating over each symbol in the expression, and for each symbol, it performs the corresponding operation. When it's done, the final result is left at the top of the stack, which is then returned by the function.
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