Pseudocode to compare two trees

Question

This is a problem I\'ve encountered a few times, and haven\'t been convinced that I\'ve used the most efficient logic.

As an example, presume I have two trees: one is a

Answer 1

public boolean compareTrees(TreeNode root1, TreeNode root2) {
  if ((root1 == null && root2 != null) || 
      (root1 != null && root2 == null)) {
    return false;
  }

  if (root1 == null && root2 == null) {
    return true;
  }

  if (root1.data != root2.data) {
    return false;
  }

  return compareTrees(root1.left, root2.left) && 
    compareTrees(root1.right, root2.right);
}