https://leetcode.com/problems/flip-equivalent-binary-trees/

判断两棵二叉树是否等价:若两棵二叉树可以通过任意次的交换任意节点的左右子树变为相同,则称两棵二叉树等价。

思路:遍历二叉树,判断所有的子树是否等价。

struct TreeNode
{
int val;
TreeNode *left;
TreeNode *right;
TreeNode(int x)
: val(x), left(NULL), right(NULL) {}
}; class Solution
{
public:
void exchangeSons(TreeNode* root)
{
TreeNode* tmp = root->left;
root->left = root->right;
root->right = tmp;
} int getNum(TreeNode* node)
{
if(node == NULL)
return -;
else
return node->val;
}
int compareSons(TreeNode* root1, TreeNode* root2)
{
TreeNode* left1 = root1->left;
TreeNode* right1 = root1->right;
TreeNode* left2 = root2->left;
TreeNode* right2 = root2->right;
int l1,l2,r1,r2;
l1 = getNum(left1);
l2 = getNum(left2);
r1 = getNum(right1);
r2 = getNum(right2);
if(l1 == l2 && r1 == r2)
return ;
else if(l1 == r2 && r1 == l2)
return ;
else
return ;
}
bool flipEquiv(TreeNode* root1, TreeNode* root2)
{
if(root1 == NULL && root2 == NULL)
return ;
else if(root1 == NULL)
return ;
else if(root2 == NULL)
return ;
int comres = compareSons(root1, root2);
if(comres == )
return ;
else if(comres == )
exchangeSons(root2);
bool leftEquiv = ,rightEquiv = ;
if(root1->left != NULL)
leftEquiv = flipEquiv(root1->left, root2->left);
if(root1->right != NULL)
rightEquiv = flipEquiv(root1->right, root2->right);
if(leftEquiv&&rightEquiv)
return ;
else
return ;
}
};

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.

Write a function that determines whether two binary trees are flip equivalent.  The trees are given by root nodes root1 and root2.

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.

Note:

  1. Each tree will have at most 100 nodes.
  2. Each value in each tree will be a unique integer in the range [0, 99].

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