In a binary tree, the root node is at depth 0
, and children of each depth k
node are at depth k+1
.
Two nodes of a binary tree are cousins if they have the same depth, but have different parents.
We are given the root
of a binary tree with unique values, and the values x
and y
of two different nodes in the tree.
Return true
if and only if the nodes corresponding to the values x
and y
are cousins.
Example 1:
Input: root = [1,2,3,4], x = 4, y = 3
Output: false
Example 2:
Input: root = [1,2,3,null,4,null,5], x = 5, y = 4
Output: true
Example 3:
Input: root = [1,2,3,null,4], x = 2, y = 3
Output: false
Note:
- The number of nodes in the tree will be between
2
and100
. - Each node has a unique integer value from
1
to100
.
Solution
这个题的基本思路是写一个方法,用这个方法返回对应某个节点的父节点和相应的度,然后分别输入x和y调用相应的函数,如果2次函数的返回值中度相同而且父节点不相同,则返回True,否则返回false。
# Definition for a binary tree node.
# class TreeNode:
# def __init__(self, val=0, left=None, right=None):
# self.val = val
# self.left = left
# self.right = right
class Solution:
def isCousins(self, root: TreeNode, x: int, y: int) -> bool:
def dfs(node, parent, depth, mod):
if node:
if node.val == mod:
return depth, parent
return dfs(node.left, node, depth + 1, mod) or dfs(node.right, node, depth + 1, mod)
dx, px, dy, py = dfs(root, None, 0, x) + dfs(root, None, 0, y)
return dx == dy and px != py
下面的视频提供了另一种思路,就是按层次遍历树,如果它们是在同一层,而且parent不同则返回True,否则返回false。