快速排序的基本思想:首先選定一個(gè)數(shù)組中的一個(gè)初始值,將數(shù)組中比該值小的放在左邊,比該值大的放在右邊,然后分別對(duì)左邊的數(shù)組進(jìn)行如上的操作,對(duì)右邊的數(shù)組進(jìn)行如上的操作。(分治+遞歸)
1.利用匿名函數(shù)lambda
匿名函數(shù)的基本用法func_name = lambda x:array,冒號(hào)左邊的x代表傳入的參數(shù),冒號(hào)右邊的array代表返回值,當(dāng)然名字是可以自己取的。
quick_sort = lambda array: / array if len(array) <= 1 / else quick_sort([item for item in array[1:] if item <= array[0]]) / + [array[0]] + / quick_sort([item for item in array[1:] if item > array[0]])
2.將匿名函數(shù)拆解封裝為函數(shù)
def func2(array): if len(array)<=1: return array tmp = array[0] left = [x for x in array[1:] if x<=tmp] right = [x for x in array[1:] if x>tmp] return func2(left) + [tmp] + func2(right)
3.網(wǎng)上常見(jiàn)的
def func2(array,left,right): if left>=right: return low=left high=right tmp=array[low] while left<right: while left<right and array[right]>tmp: right-=1 array[left] = array[right] while left<right and array[left]<=tmp: left+=1 array[right]=array[left] array[right]=tmp func2(array,low,left-1) func2(array,left+1,high)
4.算法導(dǎo)論里面的
def func3(array, l, r): if l < r: q = partition(array, l, r) func3(array, l, q - 1) func3(array, q + 1, r)def partition(array, l, r): x = array[r] i = l - 1 for j in range(l, r): if array[j] <= x: i += 1 array[i], array[j] = array[j], array[i] array[i + 1], array[r] = array[r], array[i + 1] return i + 1
5.利用棧實(shí)現(xiàn)非遞歸版本
def func4(array, l, r): if l >= r: return stack = [] stack.append(l) stack.append(r) while stack: low = stack.pop(0) high = stack.pop(0) if high - low <= 0: continue x = array[high] i = low - 1 for j in range(low, high): if array[j] <= x: i += 1 array[i], array[j] = array[j], array[i] array[i + 1], array[high] = array[high], array[i + 1] stack.extend([low, i, i + 2, high])
6.python內(nèi)置的
sorted(array)
本來(lái)是想利用裝飾器來(lái)測(cè)一下每個(gè)函數(shù)的運(yùn)行時(shí)間的,但是由于快排里面存在遞歸,使用裝飾器會(huì)報(bào)錯(cuò),就只好一個(gè)個(gè)計(jì)算了。這里還是貼一下用裝飾器計(jì)算時(shí)間的代碼:
def count_time(func): @wraps(func) def helper(func,*args,**kwargs): start=time() result = func(*args,**kwargs) end=time() print("函數(shù):", func.__name__, "運(yùn)行時(shí)間:", round(end - start, 4), "s") return result return helper
這里我們的輸入是隨機(jī)生成的在0-100間的整數(shù),我們測(cè)試一下在不同數(shù)量下的消耗時(shí)間:
from functools import wrapsfrom random import randintfrom time import timefunc1_start =time()res = quick_sort(array)func1_end =time()print("函數(shù):func1 運(yùn)行時(shí)間:", round(func1_end - func1_start, 4), "s")func2_start =time()func2(array)func2_end =time()print("函數(shù):func2 運(yùn)行時(shí)間:", round(func2_end - func2_start, 4), "s")func3_start =time()func3(array,0,len(array)-1)func3_end =time()print("函數(shù):func3 運(yùn)行時(shí)間:", round(func3_end - func3_start, 4), "s")func4_start =time()func4(array,0,len(array)-1)func4_end =time()print("函數(shù):func4 運(yùn)行時(shí)間:", round(func4_end - func4_start, 4), "s")func5_start =time()func5(array,0,len(array)-1)func5_end =time()print("函數(shù):func5 運(yùn)行時(shí)間:", round(func5_end - func5_start, 4), "s")func6_start =time()sorted(array)func6_end =time()print("函數(shù):func6 運(yùn)行時(shí)間:", round(func6_end - func6_start, 4), "s")
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