后续会尽量完善:2018-08-01
稳定排序:是指当有一个相等的数字进来时,它会确定性的放在其相等数字的后面
1冒泡排序:
时间复杂度:最好状态O(n),最差O(n2),空间复杂度O(1),属于稳定排序
# -*- coding: utf-8 -*-
"""
Created on Wed Aug 1 08:36:54 2018
@author: zhipeng
function:冒泡排序
input:list
"""
def Bubblle_sort(data):
for i in range(0,len(data)):
for j in range(0,len(data)-1-i):
if data[j]>data[j+1]:
tmp = data[j+1]
data[j+1] = data[j]
data[j] = tmp
print(data)
data = [1,5,2,3,9,6]
Bubblle_sort(data)
打印内容:[1, 2, 3, 5, 6, 9]
更进一步,上面是顺序排列,如果需要倒序排列的话,data[j]<data[j+1],输出是[9,6,5,3,2,1]
2选择排序:
时间复杂度:最好=最差O(n2), 空间复杂度O(1), 稳定性:不稳定
# -*- coding: utf-8 -*-
"""
Created on Wed Aug 1 08:36:54 2018
@author: zhipeng
function:选择排序
input:list
"""
def select_sort(data):
for i in range(0,len(data)-1):
min_index = i
for j in range(i+1,len(data)):
if data[min_index]>data[j]:
min_index=j
tmp = data[min_index]
data[min_index] = data[i]
data[i] = tmp
print(data)
data = [1,5,2,3,9,6]
select_sort(data)
输出结果:[1,2,3,5,6,9]
同理,要是想倒序输出,改变一下if条件,就可以了。
3插入排序
复杂度:最好O(n),最差O(n2),空间复杂度O(1) ,稳定性:不稳定
# -*- coding: utf-8 -*-
"""
Created on Wed Aug 1 08:36:54 2018
@author: zhipeng
function:插入排序
input:list
"""
def insert_sort(data):
for i in range(1,len(data)):
pre_index = i - 1
current = data[i]
while pre_index>=0 and data[pre_index] > data[i]:
data[pre_index + 1] = data[pre_index]
pre_index -=1
data[pre_index +1] = current
print(data)
data = [1,5,2,3,9,6]
insert_sort(data)
打印内容:[1,2,3,5,6,9]
4归并排序
时间复杂度:最好=最坏O(nlogn),空间复杂度O(n),稳定性:不稳定
# -*- coding: utf-8 -*-
"""
Created on Wed Aug 1 08:36:54 2018
@author: zhipeng
function:归并排序
input:list
"""
def merge_sort(data):
if len(data) == 1:
return data
mid = int(len(data)/2)
left = data[:mid]
right = data[mid:]
left_merge = merge_sort(left)
right_merge = merge_sort(right)
return merge(left_merge,right_merge)
def merge(left,right):
result = []
while len(left)>0 and len(right)>0:
if left[0] <= right[0]:
result.append(left.pop(0))
else:
result.append(right.pop(0))
result += left
result += right
return result
data = [1,5,2,3,9,6]
print(merge_sort(data))
打印内容:[1,2,3,5,6,9]
5快速排序
时间复杂度:最好O(nlogn),最坏O(n2),稳定性,不稳定
# -*- coding: utf-8 -*-
"""
Created on Tue Jul 31 21:05:57 2018
@author: zhip_hu
function:quick_sort
input:list
"""
def quick_sort(arr,first_index,last_index):
if first_index < last_index:
divi_index = partition(arr,first_index,last_index)
quick_sort(arr,first_index,divi_index)
quick_sort(arr,divi_index+1,last_index)
return arr
else:
return arr
def dive_index(arr,first_index,last_index):
i = first_index -1
for j in range(first_index,last_index):
if arr[j]<= arr[last_index]:
i +=1
arr[i],arr[j] = arr[j],arr[i]
arr[i+1],arr[last_index] = arr[last_index],arr[i+1]
return i
arr = [1,5,3,2,88,7]
first_index = 0
last_index = len(arr) -1
print(quick_sort(arr,first_index,last_index))
打印内容:[1,2,3,5,7,88]