用栈代码实现步骤1:将中缀表达式转换为后缀表达式 步骤2:计算中缀表达式
时间: 2023-10-09 15:06:26 浏览: 102
好的,关于您的第一个问题,以下是使用栈代码实现步骤1:将中缀表达式转换为后缀表达式的示例代码:
```python
# 定义操作符优先级
priority = {'(': 1, '+': 2, '-': 2, '*': 3, '/': 3}
# 将中缀表达式转换为后缀表达式
def infix_to_postfix(expression):
stack = []
postfix_expression = []
for char in expression:
if char.isdigit():
postfix_expression.append(char)
elif char == '(':
stack.append(char)
elif char == ')':
op = stack.pop()
while op != '(':
postfix_expression.append(op)
op = stack.pop()
else:
while stack and priority[char] <= priority.get(stack[-1], 0):
postfix_expression.append(stack.pop())
stack.append(char)
while stack:
postfix_expression.append(stack.pop())
return postfix_expression
# 定义计算后缀表达式的函数
def calculate_postfix(postfix_expression):
stack = []
for char in postfix_expression:
if char.isdigit():
stack.append(int(char))
else:
b = stack.pop()
a = stack.pop()
if char == '+':
stack.append(a + b)
elif char == '-':
stack.append(a - b)
elif char == '*':
stack.append(a * b)
elif char == '/':
stack.append(a / b)
return stack.pop()
# 示例
expression = '3*5+(6-2)/4'
postfix_expression = infix_to_postfix(expression)
print('中缀表达式:', expression)
print('后缀表达式:', ''.join(postfix_expression))
print('结果:', calculate_postfix(postfix_expression))
```
对于第二个问题,由于它需要先完成第一个问题的步骤1,因此请先完成步骤1再进行计算中缀表达式。
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