要求栈显示如下功能:\n1.入栈\n2.出栈\n3.查看栈顶元素\n4.查看栈长度\n5.查看栈中元素\n6.退出
时间: 2023-04-30 22:06:13 浏览: 66
这是一个二进制字符串,需要先将其转换为可读的文本。转换后为:
要求栈显示如下功能:
1.入栈
2.出栈
3.查看栈顶元素
4.查看栈长度
5.查看栈中元素
6.退出
答案:
这是一个栈数据结构的基本功能需求,包括入栈、出栈、查看栈顶元素、查看栈长度、查看栈中元素以及退出。
相关问题
创建顺序栈的结构、出栈、入栈、取栈顶元素算法: 2.创建判断表达式括号匹配、判断运算符、运算符优先级和两数运算的函数:
1. 创建顺序栈的结构、出栈、入栈、取栈顶元素算法:
```python
class Stack:
def __init__(self):
self.stack = []
def push(self, item):
self.stack.append(item)
def pop(self):
return self.stack.pop()
def peek(self):
return self.stack[-1]
def is_empty(self):
return len(self.stack) == 0
```
其中,`push` 方法用于入栈,`pop` 方法用于出栈,`peek` 方法用于取栈顶元素,`is_empty` 方法用于判断栈是否为空。
2. 创建判断表达式括号匹配、判断运算符、运算符优先级和两数运算的函数:
```python
def is_matching_parentheses(expr):
stack = Stack()
for char in expr:
if char in '({[':
stack.push(char)
elif char in ')}]':
if stack.is_empty():
return False
elif char == ')' and stack.peek() == '(':
stack.pop()
elif char == '}' and stack.peek() == '{':
stack.pop()
elif char == ']' and stack.peek() == '[':
stack.pop()
else:
return False
return stack.is_empty()
def is_operator(char):
return char in '+-*/'
def get_operator_precedence(char):
if char in '+-':
return 1
elif char in '*/':
return 2
else:
return -1
def evaluate(expr):
operand_stack = Stack()
operator_stack = Stack()
i = 0
while i < len(expr):
if expr[i].isdigit():
j = i
while j < len(expr) and expr[j].isdigit():
j += 1
operand = int(expr[i:j])
operand_stack.push(operand)
i = j
elif is_operator(expr[i]):
while not operator_stack.is_empty() and get_operator_precedence(operator_stack.peek()) >= get_operator_precedence(expr[i]):
operator = operator_stack.pop()
operand2 = operand_stack.pop()
operand1 = operand_stack.pop()
result = evaluate_operation(operand1, operand2, operator)
operand_stack.push(result)
operator_stack.push(expr[i])
i += 1
else:
i += 1
while not operator_stack.is_empty():
operator = operator_stack.pop()
operand2 = operand_stack.pop()
operand1 = operand_stack.pop()
result = evaluate_operation(operand1, operand2, operator)
operand_stack.push(result)
return operand_stack.pop()
def evaluate_operation(operand1, operand2, operator):
if operator == '+':
return operand1 + operand2
elif operator == '-':
return operand1 - operand2
elif operator == '*':
return operand1 * operand2
elif operator == '/':
return operand1 / operand2
else:
raise ValueError('Unknown operator: ' + operator)
```
其中,`is_matching_parentheses` 函数用于判断表达式中的括号是否匹配,`is_operator` 函数用于判断一个字符是否为运算符,`get_operator_precedence` 函数用于获取一个运算符的优先级,`evaluate` 函数用于计算表达式的值,`evaluate_operation` 函数用于对两个操作数进行指定的运算。
用Python创建顺序栈的结构、出栈、入栈、取栈顶元素算法: 2. 创建判断表达式括号匹配、判断运算符、运算符优先级和两数运算的函数: 3.实现中缀表达式求值算法:
1. 创建顺序栈的结构、出栈、入栈、取栈顶元素算法:
顺序栈可以使用Python中的列表来实现。定义一个空列表来表示空栈,使用append()方法实现入栈操作,使用pop()方法实现出栈操作并返回被移除元素。使用[-1]索引来取栈顶元素。
以下是示例代码:
```python
class Stack():
def __init__(self):
self.items = []
def is_empty(self):
return self.items == []
def push(self, item):
self.items.append(item)
def pop(self):
return self.items.pop()
def peek(self):
return self.items[-1]
```
2. 创建判断表达式括号匹配、判断运算符、运算符优先级和两数运算的函数:
可以使用栈来实现表达式求值。先将操作数压入栈中,当遇到运算符时,取出相应的操作数按照运算符计算,将结果再次压入栈中。最后栈中剩余的操作数即为最终结果。
以下是示例代码:
```python
def is_operator(c):
return c in ['+', '-', '*', '/']
def operator_priority(operator):
return {'+': 1, '-': 1, '*': 2, '/': 2}[operator]
def calculate(num1, num2, operator):
if operator == '+':
return num1 + num2
elif operator == '-':
return num1 - num2
elif operator == '*':
return num1 * num2
elif operator == '/':
return num1 / num2
def evaluate_expression(expression):
stack_num = []
stack_operator = []
for c in expression:
if c.isdigit():
stack_num.append(int(c))
elif is_operator(c):
while stack_operator and operator_priority(stack_operator[-1]) >= operator_priority(c):
num2 = stack_num.pop()
num1 = stack_num.pop()
operator = stack_operator.pop()
result = calculate(num1, num2, operator)
stack_num.append(result)
stack_operator.append(c)
elif c == '(':
stack_operator.append(c)
elif c == ')':
while stack_operator and stack_operator[-1] != '(':
num2 = stack_num.pop()
num1 = stack_num.pop()
operator = stack_operator.pop()
result = calculate(num1, num2, operator)
stack_num.append(result)
stack_operator.pop()
while stack_operator:
num2 = stack_num.pop()
num1 = stack_num.pop()
operator = stack_operator.pop()
result = calculate(num1, num2, operator)
stack_num.append(result)
return stack_num[0]
```
3. 实现中缀表达式求值算法:
实现中缀表达式求值算法的思路与上述样例类似。在算法中,需要将中缀表达式转为后缀表达式,在后缀表达式中进行求值。
以下是示例代码:
```python
def infix_to_postfix(expression):
stack_operator = []
postfix = []
for c in expression:
if c.isdigit():
postfix.append(c)
elif is_operator(c):
while stack_operator and stack_operator[-1] != '(' and operator_priority(stack_operator[-1]) >= operator_priority(c):
postfix.append(stack_operator.pop())
stack_operator.append(c)
elif c == '(':
stack_operator.append(c)
elif c == ')':
while stack_operator and stack_operator[-1] != '(':
postfix.append(stack_operator.pop())
stack_operator.pop()
while stack_operator:
postfix.append(stack_operator.pop())
return postfix
def evaluate_infix_expression(expression):
postfix = infix_to_postfix(expression)
stack = []
for c in postfix:
if c.isdigit():
stack.append(int(c))
elif is_operator(c):
num2 = stack.pop()
num1 = stack.pop()
result = calculate(num1, num2, c)
stack.append(result)
return stack[0]
```