用python解决以下问题给定一组序列 A=[11, 6, 8, 19, 4, 10, 5, 17, 43, 49, 31],,实现如下三种算法程序。 (1)插入排序算法 (2)选择排序算法 (3)合并排序算法
时间: 2023-08-06 22:05:46 浏览: 44
插入排序算法的Python实现:
```python
def insertion_sort(arr):
for i in range(1, len(arr)):
key = arr[i]
j = i - 1
while j >= 0 and arr[j] > key:
arr[j + 1] = arr[j]
j -= 1
arr[j + 1] = key
return arr
A = [11, 6, 8, 19, 4, 10, 5, 17, 43, 49, 31]
print(insertion_sort(A))
```
选择排序算法的Python实现:
```python
def selection_sort(arr):
for i in range(len(arr)):
min_index = i
for j in range(i + 1, len(arr)):
if arr[j] < arr[min_index]:
min_index = j
arr[i], arr[min_index] = arr[min_index], arr[i]
return arr
A = [11, 6, 8, 19, 4, 10, 5, 17, 43, 49, 31]
print(selection_sort(A))
```
合并排序算法的Python实现:
```python
def merge_sort(arr):
if len(arr) > 1:
mid = len(arr) // 2
left_half = arr[:mid]
right_half = arr[mid:]
merge_sort(left_half)
merge_sort(right_half)
i = j = k = 0
while i < len(left_half) and j < len(right_half):
if left_half[i] < right_half[j]:
arr[k] = left_half[i]
i += 1
else:
arr[k] = right_half[j]
j += 1
k += 1
while i < len(left_half):
arr[k] = left_half[i]
i += 1
k += 1
while j < len(right_half):
arr[k] = right_half[j]
j += 1
k += 1
return arr
A = [11, 6, 8, 19, 4, 10, 5, 17, 43, 49, 31]
print(merge_sort(A))
```
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