给定一个序列1,5,9,2,6,8,3,4,7,采用以下排序方法分别对序列升序排序。写出代码 (1) 冒泡排序; (2) 堆排序; (3) 插入排序; (4) 选择排序。
时间: 2024-09-30 12:06:32 浏览: 30
当然可以,以下是四种排序算法在Python中的实现,用于对给定序列进行升序排序:
1. **冒泡排序** (Bubble Sort):
```python
def bubble_sort(lst):
n = len(lst)
for i in range(n):
for j in range(0, n - i - 1):
if lst[j] > lst[j + 1]:
lst[j], lst[j + 1] = lst[j + 1], lst[j]
return lst
unsorted_list = [1, 5, 9, 2, 6, 8, 3, 4, 7]
sorted_bubble = bubble_sort(unsorted_list)
print("Sorted using Bubble Sort:", sorted_bubble)
```
2. **堆排序** (Heap Sort):
```python
import heapq
def heapify(lst, n, i):
largest = i
l = 2 * i + 1
r = 2 * i + 2
if l < n and lst[i] < lst[l]:
largest = l
if r < n and lst[largest] < lst[r]:
largest = r
if largest != i:
lst[i], lst[largest] = lst[largest], lst[i]
heapify(lst, n, largest)
def heap_sort(lst):
n = len(lst)
for i in range(n // 2 - 1, -1, -1):
heapify(lst, n, i)
for i in range(n - 1, 0, -1):
lst[i], lst[0] = lst[0], lst[i]
heapify(lst, i, 0)
return lst
sorted_heap = heap_sort(unsorted_list.copy())
print("Sorted using Heap Sort:", sorted_heap)
```
3. **插入排序** (Insertion Sort):
```python
def insertion_sort(lst):
for i in range(1, len(lst)):
key = lst[i]
j = i - 1
while j >= 0 and lst[j] > key:
lst[j + 1] = lst[j]
j -= 1
lst[j + 1] = key
return lst
sorted_insertion = insertion_sort(unsorted_list)
print("Sorted using Insertion Sort:", sorted_insertion)
```
4. **选择排序** (Selection Sort):
```python
def selection_sort(lst):
for i in range(len(lst)):
min_index = i
for j in range(i+1, len(lst)):
if lst[min_index] > lst[j]:
min_index = j
lst[i], lst[min_index] = lst[min_index], lst[i]
return lst
sorted_selection = selection_sort(unsorted_list)
print("Sorted using Selection Sort:", sorted_selection)
```
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