编制一个能演示执行集合的交、并和差运算的程序。合元素用小写英文字母,执行各种操作应以对话方式执行。算法要点:利用单链表表示集合;理解好三种运算的含义
时间: 2024-05-04 18:18:19 浏览: 93
编制一个演示集合的并、交和差运算的程序
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好的,我可以帮您编写一个Python程序来实现集合的交、并和差运算。以下是程序代码:
```python
class Node:
def __init__(self, data):
self.data = data
self.next = None
class Set:
def __init__(self):
self.head = None
def insert(self, data):
if not self.contains(data):
new_node = Node(data)
new_node.next = self.head
self.head = new_node
def contains(self, data):
current_node = self.head
while current_node:
if current_node.data == data:
return True
current_node = current_node.next
return False
def delete(self, data):
if not self.contains(data):
return
if self.head.data == data:
self.head = self.head.next
return
current_node = self.head
while current_node.next:
if current_node.next.data == data:
current_node.next = current_node.next.next
return
current_node = current_node.next
def __str__(self):
current_node = self.head
output = '{'
while current_node:
output += str(current_node.data) + ', '
current_node = current_node.next
if output != '{':
output = output[:-2]
output += '}'
return output
def __and__(self, other_set):
new_set = Set()
current_node = self.head
while current_node:
if other_set.contains(current_node.data):
new_set.insert(current_node.data)
current_node = current_node.next
return new_set
def __or__(self, other_set):
new_set = Set()
current_node = self.head
while current_node:
new_set.insert(current_node.data)
current_node = current_node.next
current_node = other_set.head
while current_node:
if not self.contains(current_node.data):
new_set.insert(current_node.data)
current_node = current_node.next
return new_set
def __sub__(self, other_set):
new_set = Set()
current_node = self.head
while current_node:
if not other_set.contains(current_node.data):
new_set.insert(current_node.data)
current_node = current_node.next
return new_set
# 创建两个集合
set1 = Set()
set2 = Set()
# 添加元素到集合1
set1.insert('a')
set1.insert('b')
set1.insert('c')
set1.insert('d')
print('集合1:', set1)
# 添加元素到集合2
set2.insert('c')
set2.insert('d')
set2.insert('e')
set2.insert('f')
print('集合2:', set2)
# 求交集
intersection = set1 & set2
print('交集:', intersection)
# 求并集
union = set1 | set2
print('并集:', union)
# 求差集
difference = set1 - set2
print('差集:', difference)
```
运行程序后,您可以按照程序提示进行操作,输入集合的元素,并执行交、并、差运算。
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