簡介
快速排序被評為20世紀十大算法之一,最早由圖靈獎獲得者Tony Hoare設計出來,很牛。。。
基本思想
(摘抄自《大話數據結構》)
快速排序的基本思想是:
通過一趟排序將待排記錄分割成獨立的兩部分,其中一部分記錄的關鍵字均比另一部分記錄的關鍵字小,則可分別對這兩部分記錄繼續進行排序,以帶到整個序列有序的目的。
Python實現
以下給出Python實現版本,結合打印信息應該就能看明白了。
遞歸版本
# coding=utf-8
'''遞歸版本
'''
def swap(lst, left, right):
lst[left], lst[right] = lst[right], lst[left]
def paritition(lst, left, right):
key = lst[left]
while left < right:
if left < right and key <= lst[right]:
right = right - 1
swap(lst, left, right)
if left < right and lst[left] <= key:
left = left + 1
swap(lst, left, right)
print 'left: {} right: {}'.format(left, right)
print lst
return left
def Qsort(lst, left, right):
piviot = 0
if left < right:
piviot = paritition(lst, left, right)
Qsort(lst, left, piviot - 1)
Qsort(lst, piviot + 1, right)
def Quicksort(lst):
Qsort(lst, 0, len(lst) - 1)
l = [1, 20, 3, 50, 40, 70, 23, 100, 23]
Quicksort(l)
Console輸出:
left: 0 right: 0
[1, 20, 3, 50, 40, 70, 23, 100, 23]
left: 2 right: 2
[1, 3, 20, 50, 40, 70, 23, 100, 23]
left: 6 right: 6
[1, 3, 20, 23, 40, 23, 50, 100, 70]
left: 3 right: 3
[1, 3, 20, 23, 40, 23, 50, 100, 70]
left: 5 right: 5
[1, 3, 20, 23, 23, 40, 50, 100, 70]
left: 8 right: 8
[1, 3, 20, 23, 23, 40, 50, 70, 100]
非遞歸版本
'''非遞歸版本 (區別僅為Qsort方法,使用棧來保存中間結果),python3 執行
'''
def swap(lst, left, right):
lst[left], lst[right] = lst[right], lst[left]
def paritition(lst, left, right):
key = lst[left]
while left < right:
if left < right and key <= lst[right]:
right = right - 1
swap(lst, left, right)
if left < right and lst[left] <= key:
left = left + 1
swap(lst, left, right)
print('left: {} right: {} lst: {}'.format(left, right, lst))
return left
def Qsort(lst, left, right):
piviots = [(left, right)]
while len(piviots) > 0:
piviot = piviots.pop(0)
if piviot[0] < piviot[1]:
piviot_num = paritition(lst, piviot[0], piviot[1])
if piviot_num - 1 > piviot[0]:
piviots.append((piviot[0], piviot_num-1))
if piviot_num + 1 < piviot[1]:
piviots.append((piviot_num+1, piviot[1]))
def Quicksort(lst):
Qsort(lst, 0, len(lst) - 1)
if __name__ == "__main__":
ll = [1, 20, 3, 50, 40, 70, 23, 100, 23]
Quicksort(ll)