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:
- Each tree will have at most
100
nodes. - Each value in each tree will be a unique integer in the range
[0, 99]
.
class Solution {
public:
bool flipEquiv(TreeNode* root1, TreeNode* root2) {
if (root1 == NULL) {
return root2 == NULL;
}
if (root2 == NULL) {
return root1 == NULL;
}
if (root1 -> val != root2 -> val) {
return false;
}
return (flipEquiv(root1 -> left, root2 -> left) && flipEquiv(root1 -> right, root2 -> right)) || (flipEquiv(root1 -> left, root2 -> right) && flipEquiv(root1 -> right, root2 -> left));
}
};
===== BFS =====
bool flipEquiv(TreeNode* root1, TreeNode* root2) {
queue<TreeNode*> q1;
queue<TreeNode*> q2;
if(root1) q1.push(root1);
if(root2) q2.push(root2);
while(!q1.empty() && !q2.empty()){
TreeNode* cur1 = q1.front();
TreeNode* cur2 = q2.front();
//cout << cur1->val << " :" << cur2->val <<endl ;
if(cur1->val != cur2->val) return false;
if(cur1->left) q1.push(cur1->left);
if(cur1->right) q1.push(cur1->right);
if(cur1->left && cur2->left && cur1->left->val == cur2->left->val)
q2.push(cur2->left);
else if(cur1->left && cur2->right && cur1->left->val == cur2->right->val)
q2.push(cur2->right);
if(cur1->right&& cur2->right && cur1->right->val == cur2->right->val)
q2.push(cur2->right);
else if(cur1->right && cur2->left && cur1->right->val == cur2->left->val)
q2.push(cur2->left);
q1.pop();
q2.pop();
}
if(!q1.empty() || !q2.empty()) return false;
else return true;
}
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