段树最小值和最大值

时间:2018-01-07 12:22:02

标签: python python-3.x algorithm segment-tree

我正在尝试构建一个段树,其父节点应该包含其子节点的最小值和最大值。现在当我尝试实现它时,我面临一个错误,即一个子节点可以返回整数而其他子节点可以返回一个列表并运行max或min函数会引发错误。如何克服这个问题?

from math import log2,ceil
def segment(low,high,pos):

    if (low==high):
        segment_tree[pos]=arr[low]
        return

    mid=(high+low)//2

    segment(low,mid,2*pos+1)
    segment(mid+1,high,2*pos+2)

    segment_tree[pos]=[min(segment_tree[2*pos+1],segment_tree[2*pos+2]),max(segment_tree[2*pos+1],segment_tree[2*pos+2])]

length=5
arr=[1,2,3,4,5]
low=0
high=length-1
height=int(ceil(log2(length)))
pos=0 
size_of_segment_tree=2*int(pow(2,height))-1
segment_tree=[0]*size_of_segment_tree
segment(low,high,pos)

2 个答案:

答案 0 :(得分:1)

这将使用isinstance(对象,列表)

segment_tree[pos]=[min(min(segment_tree[2*pos+1]) if isinstance(segment_tree[2*pos+1],list) else segment_tree[2*pos+1],min(segment_tree[2*pos+2]) if isinstance(segment_tree[2*pos+2],list) else segment_tree[2*pos+2]),max(max(segment_tree[2*pos+1]) if isinstance(segment_tree[2*pos+1],list) else segment_tree[2*pos+1],max(segment_tree[2*pos+2]) if isinstance(segment_tree[2*pos+2],list) else segment_tree[2*pos+2])]

编辑:为了清晰起见重新格式化:

segment_tree[pos]=  [
    min(min(segment_tree[2*pos+1]) 
        if isinstance(segment_tree[2*pos+1],list) 
        else segment_tree[2*pos+1],
    min(segment_tree[2*pos+2]) 
        if isinstance(segment_tree[2*pos+2],list) 
        else segment_tree[2*pos+2]),
    max(max(segment_tree[2*pos+1]) 
        if isinstance(segment_tree[2*pos+1],list) 
        else segment_tree[2*pos+1],
    max(segment_tree[2*pos+2]) 
        if isinstance(segment_tree[2*pos+2],list) 
        else segment_tree[2*pos+2])
        ]

答案 1 :(得分:0)

如果我理解问题,你可以自己写一个最小/最大功能:

def my_min(value):
    if isinstance(value, list):
        return min(value)
    else:
        return value

def my_max(value):
    if isinstance(value, list):
        return max(list)
    else:
        return value