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Following function is supposed to calculate the maximum depth or height of a Binary tree -- the number of nodes along the longest path from the root node down to the farthest leaf node.
int maxDepth(struct node* node)
{
   if (node==NULL)
        return 0;
   else
   {
         /* compute the depth of each subtree */
        int lDepth = maxDepth(node->left);
        int rDepth = maxDepth(node->right);
       /* use the larger one */
       if (lDepth > rDepth)
           return X;
    else return Y;
     }
}
 
Q. What should be the values of X and Y so that the function works correctly?
  • a)
    X = lDepth, Y = rDepth
  • b)
    X = lDepth + 1, Y = rDepth + 1
  • c)
    X = lDepth - 1, Y = rDepth -1
  • d)
    None of the above
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Following function is supposed to calculate the maximum depth or heigh...
If a tree is not empty, height of tree is MAX(Height of Left Subtree, Height of Right Subtree) + 1 See program to Find the Maximum Depth or Height of a Tree for more details.
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Most Upvoted Answer
Following function is supposed to calculate the maximum depth or heigh...
Explanation:

The given function is a recursive function that calculates the maximum depth or height of a binary tree. It uses the concept of recursion to calculate the depth of each subtree and then returns the maximum depth among them.

To determine the correct values of X and Y, we need to understand the logic of the function.

1. Base Case:
The function starts with a base case which checks if the current node is NULL. If the node is NULL, it means we have reached the end of a subtree and there are no more nodes to explore. In this case, the function returns 0, indicating that the depth of this subtree is 0.

2. Recursive Case:
If the current node is not NULL, the function proceeds to calculate the depth of each subtree recursively. It does this by calling the maxDepth function on the left and right child nodes of the current node.

The depth of a subtree is calculated by finding the maximum depth among its left and right subtrees and adding 1 to it. This is because the depth of a subtree is equal to the maximum depth among its children plus 1 for the current node.

3. Choosing the Larger Depth:
Once the depths of the left and right subtrees are calculated, the function compares them to determine the larger depth. The larger depth represents the maximum depth among the left and right subtrees.

4. Returning the Maximum Depth:
Finally, the function returns the larger depth as the result. This is the maximum depth or height of the binary tree.

Choosing the Correct Values of X and Y:

Based on the logic of the function, the correct values for X and Y should be:

X = lDepth + 1
Y = rDepth + 1

This is because the depth of a subtree is equal to the maximum depth among its children plus 1 for the current node. So, to calculate the maximum depth of the binary tree, we need to add 1 to the larger depth among the left and right subtrees.

Therefore, the correct answer is option 'B': X = lDepth + 1, Y = rDepth + 1.
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Following function is supposed to calculate the maximum depth or height of a Binary tree -- the number of nodes along the longest path from the root node down to the farthest leaf node.int maxDepth(struct node* node){if (node==NULL) return 0; else{ /* compute the depth of each subtree */ int lDepth = maxDepth(node->left); int rDepth = maxDepth(node->right); /* use the larger one */ if (lDepth > rDepth) return X; else return Y; }}Q.What should be the values of X and Y so that the function works correctly?a)X = lDepth, Y = rDepthb)X = lDepth + 1, Y = rDepth + 1c)X = lDepth - 1, Y = rDepth -1d)None of the aboveCorrect answer is option 'B'. Can you explain this answer?
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Following function is supposed to calculate the maximum depth or height of a Binary tree -- the number of nodes along the longest path from the root node down to the farthest leaf node.int maxDepth(struct node* node){if (node==NULL) return 0; else{ /* compute the depth of each subtree */ int lDepth = maxDepth(node->left); int rDepth = maxDepth(node->right); /* use the larger one */ if (lDepth > rDepth) return X; else return Y; }}Q.What should be the values of X and Y so that the function works correctly?a)X = lDepth, Y = rDepthb)X = lDepth + 1, Y = rDepth + 1c)X = lDepth - 1, Y = rDepth -1d)None of the aboveCorrect answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Following function is supposed to calculate the maximum depth or height of a Binary tree -- the number of nodes along the longest path from the root node down to the farthest leaf node.int maxDepth(struct node* node){if (node==NULL) return 0; else{ /* compute the depth of each subtree */ int lDepth = maxDepth(node->left); int rDepth = maxDepth(node->right); /* use the larger one */ if (lDepth > rDepth) return X; else return Y; }}Q.What should be the values of X and Y so that the function works correctly?a)X = lDepth, Y = rDepthb)X = lDepth + 1, Y = rDepth + 1c)X = lDepth - 1, Y = rDepth -1d)None of the aboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Following function is supposed to calculate the maximum depth or height of a Binary tree -- the number of nodes along the longest path from the root node down to the farthest leaf node.int maxDepth(struct node* node){if (node==NULL) return 0; else{ /* compute the depth of each subtree */ int lDepth = maxDepth(node->left); int rDepth = maxDepth(node->right); /* use the larger one */ if (lDepth > rDepth) return X; else return Y; }}Q.What should be the values of X and Y so that the function works correctly?a)X = lDepth, Y = rDepthb)X = lDepth + 1, Y = rDepth + 1c)X = lDepth - 1, Y = rDepth -1d)None of the aboveCorrect answer is option 'B'. Can you explain this answer?.
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