在python中合并排序代码 - 递归函数调用

时间:2018-04-17 16:07:23

标签: python function recursion mergesort

我正在尝试理解下面用于合并排序的python代码。

函数mergeSort没有返回任何值,也没有将排序列表存储到lefthalf变量。那么在调用函数之后,变量lefthalf的值如何变化{例如变为[26,54]}。

def mergeSort(alist):
    print("Splitting ",alist)
    if len(alist)>1:
        mid = len(alist)//2
        lefthalf = alist[:mid]
        righthalf = alist[mid:]

        print("Before left call------>",lefthalf)
        mergeSort(lefthalf)
        print("after left call------>",lefthalf)
        mergeSort(righthalf)

        i=0
        j=0
        k=0
        while i < len(lefthalf) and j < len(righthalf):
            if lefthalf[i] < righthalf[j]:
                alist[k]=lefthalf[i]
                i=i+1
            else:
                alist[k]=righthalf[j]
                j=j+1
            k=k+1

        while i < len(lefthalf):
            alist[k]=lefthalf[i]
            i=i+1
            k=k+1

        while j < len(righthalf):
            alist[k]=righthalf[j]
            j=j+1
            k=k+1
    print("Merging ",alist)

alist = [54,26,93,17,77,31,44,55,20]
mergeSort(alist)
print(alist)

输出

Splitting  [54, 26, 93, 17, 77, 31, 44, 55, 20]
Before left call------> [54, 26, 93, 17]
Splitting  [54, 26, 93, 17]
Before left call------> [54, 26]
Splitting  [54, 26]
Before left call------> [54]
Splitting  [54]
Merging  [54]
after left call------> [54]
Splitting  [26]
Merging  [26]
Merging  [26, 54]
after left call------> [26, 54]
Splitting  [93, 17]
Before left call------> [93]
Splitting  [93]
Merging  [93]
after left call------> [93]
Splitting  [17]
Merging  [17]
Merging  [17, 93]

... ......依此类推,直至排序清单。

提前谢谢。

2 个答案:

答案 0 :(得分:0)

数组内容会在函数末尾写回alist,而alist lefthalf位于上一级。

当我从C切换到Python时,我发现这真的很混乱,但在Python中,一切都是对象的引用,所以所有函数调用都是有效的pass-by-reference

答案 1 :(得分:0)

首先,在lefthalf = alist[:mid]righthalf = alist[mid:]。它创建了两个新列表:lefthalf和rightlhalf,它们是alist中左半部分整数和右半部分整数的副本。更新这些列表时,alist不会更改。您可以使用以下代码进行测试:

>>> x = [1, 2, 3, 4]
>>> a = x[:2]
>>> a
[1, 2]
>>> b = x[2:]
>>> b
[3, 4]
>>> a[1] = 10
>>> a
[1, 10]
>>> b
[3, 4]
>>> x
[1, 2, 3, 4]

其次,在合并过程中,alist值就地突变。例如。当alist为[54,26]时,lefthalf为[54],righthalf为[26],merge将更新alist为[26,54]。这就是为什么在调用mergeSort(lefthalf)时将lefthalf更改为[26,54]。

最后,当它调用megeSort(lefthalf)mergeSort(righthalf)时,由于通过引用传递,它实际上更新了lefthalf和righthalft。这可以使用代码进行测试:

>>> l = [1, 2, 3]
>>> def update(x):
...     x[0] = 100
...
>>> update(l)
>>> l
[100, 2, 3]

总而言之,整个过程是针对给定的alist,它创建了两个新列表:lefthalf和righthalf。在对lefthalf和righthalf进行排序之后,通过合并lefthalf和righthalf来更新alist。递归地执行此过程将对alist进行排序。

让我知道现在是否清楚。