951 Flip Equivalent Binary Trees 翻转等价二叉树
Description:
For a binary tree T, we can define a flip operation as follows: choose any node, and swap the left and right child subtrees.
A binary tree X is flip equivalent to a binary tree Y if and only if we can make X equal to Y after some number of flip operations.
Given the roots of two binary trees root1 and root2, return true if the two trees are flip equivalent or false otherwise.
Example:
Example 1:
Input: root1 = [1,2,3,4,5,6,null,null,null,7,8], root2 = [1,3,2,null,6,4,5,null,null,null,null,8,7]
Output: true
Explanation: We flipped at nodes with values 1, 3, and 5.
Example 2:
Input: root1 = [], root2 = []
Output: true
Example 3:
Input: root1 = [], root2 = [1]
Output: false
Example 4:
Input: root1 = [0,null,1], root2 = []
Output: false
Example 5:
Input: root1 = [0,null,1], root2 = [0,1]
Output: true
Constraints:
The number of nodes in each tree is in the range [0, 100].
Each tree will have unique node values in the range [0, 99].
题目描述:
我们可以为二叉树 T 定义一个翻转操作，如下所示：选择任意节点，然后交换它的左子树和右子树。
只要经过一定次数的翻转操作后，能使 X 等于 Y，我们就称二叉树 X 翻转等价于二叉树 Y。
编写一个判断两个二叉树是否是翻转等价的函数。这些树由根节点 root1 和 root2 给出。
示例 :
输入：root1 = [1,2,3,4,5,6,null,null,null,7,8], root2 = [1,3,2,null,6,4,5,null,null,null,null,8,7]
输出：true
解释：我们翻转值为 1，3 以及 5 的三个节点。
提示:
每棵树最多有 100 个节点。
每棵树中的每个值都是唯一的、在 [0, 99] 范围内的整数。
思路:
递归
参考LeetCode #226 Invert Binary Tree 翻转二叉树
如果都为空返回 true
如果有一个为空返回 false
如果两个根节点值不相等返回 false
然后按照 root1.left, root2.left 和 root1.right, root2.right 或者 root1.right, root2.left 和 root1.left, root2.right 分别比较是否相等
时间复杂度为 O(n), 空间复杂度为 O(h), 其中 n 表示两棵树的最大结点数, h 表示两棵树的最大高度 h <= n
代码:
C++:
/**
* Definition for a binary tree node.
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode() : val(0), left(nullptr), right(nullptr) {}
* TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
* TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
* };
*/
class Solution
{
public:
bool flipEquiv(TreeNode* root1, TreeNode* root2)
{
return (root1 == root2) ? true : (!root1 or !root2 or root1 -> val != root2 -> val) ? false : (flipEquiv(root1 -> left, root2 -> left) and flipEquiv(root1 -> right, root2 -> right) or flipEquiv(root1 -> left, root2 -> right) and flipEquiv(root1 -> right, root2 -> left));
}
};
Java:
class Solution {
public int[] deckRevealedIncreasing(int[] deck) {
Arrays.sort(deck);
Queue queue = new LinkedList<>();
for (int i = deck.length - 1; i > -1; i--) {
if (!queue.isEmpty()) {
queue.add(queue.poll());
}
queue.add(deck[i]);
}
for (int i = deck.length - 1; i > -1; i--) deck[i] = queue.poll();
return deck;
}
}
Python:
# 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 flipEquiv(self, root1: Optional[TreeNode], root2: Optional[TreeNode]) -> bool:
return True if (root1 is None and root2 is None) else False if (root1 is None or root2 is None) else True if (root1.val == root2.val and (self.flipEquiv(root1.left, root2.left) and self.flipEquiv(root1.right, root2.right) or self.flipEquiv(root1.left, root2.right) and self.flipEquiv(root1.right, root2.left))) else False