Algorithm


Problem Name: 951. Flip Equivalent Binary Trees

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 1:

Flipped Trees Diagram
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

 

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]

Code Examples

#1 Code Example with C++ Programming

Code - C++ Programming


class Solution {
public:
    bool flipEquiv(TreeNode* root1, TreeNode* root2) {
        if (!root1 || !root2) {
            return !root1 && !root2;
        }
        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);
    }
};
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Input

x
+
cmd
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]

#2 Code Example with Java Programming

Code - Java Programming


class Solution {
  public boolean flipEquiv(TreeNode root1, TreeNode root2) {
    if (root1 == null && root2 == null) {
      return true;
    }
    if (root1 == null || root2 == null) {
      return false;
    }
    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)
        )
      );
  }
}
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Input

x
+
cmd
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

x
+
cmd
true

#3 Code Example with Javascript Programming

Code - Javascript Programming


const flipEquiv = function(root1, root2) {
  if(root1 == null || root2 == null) return root1 === root2
  return root1.val === root2.val &&
    (
      (flipEquiv(root1.left, root2.left) && flipEquiv(root1.right, root2.right)) ||
      (flipEquiv(root1.left, root2.right) && flipEquiv(root1.right, root2.left))
    )
};
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Input

x
+
cmd
root1 = [], root2 = []

Output

x
+
cmd
true

#4 Code Example with Python Programming

Code - Python Programming


class Solution:
    def flipEquiv(self, root1, root2):
        if not root1 or not root2: return root1 == root2
        if root1.left and root2.left and root1.left.val != root2.left.val or (not root1.left and root2.left) or (root1.left and not root2.left):
            root1.left, root1.right = root1.right, root1.left
        return root1.val == root2.val and self.flipEquiv(root1.left, root2.left) and self.flipEquiv(root1.right, root2.right)
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Input

x
+
cmd
root1 = [], root2 = []

Output

x
+
cmd
true

#5 Code Example with C# Programming

Code - C# Programming


namespace LeetCode
{
    public class _0951_FlipEquivalentBinaryTrees
    {
        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));
        }
    }
}
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Input

x
+
cmd
root1 = [], root2 = [1]

Output

x
+
cmd
false
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