Leetcode 2236: Root Equals Sum of Children
You are given a binary tree with three nodes: the root, its left child, and its right child. Determine whether the value of the root node is equal to the sum of the values of its two children.
Problem
Approach
Steps
Complexity
Input: The input consists of a binary tree with exactly three nodes: a root node, a left child, and a right child. Each node contains an integer value.
Example: Input: root = [7, 3, 4]
Constraints:
• The binary tree always has three nodes: root, left child, and right child.
• -100 <= Node.val <= 100
Output: Return a boolean value indicating whether the value of the root node is equal to the sum of the values of its two children.
Example: Output: true
Constraints:
• The output should be either true or false.
Goal: Check if the sum of the values of the left and right children equals the value of the root node.
Steps:
• 1. Access the value of the root node.
• 2. Access the values of the left and right child nodes.
• 3. Compute the sum of the left and right child node values.
• 4. Compare the computed sum with the value of the root node.
• 5. Return true if they are equal; otherwise, return false.
Goal: The binary tree structure is fixed with exactly three nodes, and all node values fall within the specified range.
Steps:
• The tree will always consist of three nodes: root, left child, and right child.
• Node values are integers within the range -100 to 100.
Assumptions:
• The binary tree input will always be valid with three nodes.
• No additional nodes or structures are present in the input.
• Input: Input: root = [7, 3, 4]
• Explanation: The value of the root is 7, and the sum of the left and right children is 3 + 4 = 7. Since they are equal, the output is true.
• Input: Input: root = [8, 5, 2]
• Explanation: The value of the root is 8, and the sum of the left and right children is 5 + 2 = 7. Since they are not equal, the output is false.
Approach: The approach involves simple arithmetic comparisons to validate the relationship between the root and its children.
Observations:
• The tree is small with only three nodes, so the logic is straightforward.
• The problem only requires basic comparison of integer values.
• Accessing and comparing node values directly should be sufficient to solve this problem efficiently.
Steps:
• 1. Retrieve the values of the root, left child, and right child.
• 2. Compute the sum of the left and right child node values.
• 3. Compare the computed sum to the root node value.
• 4. Return true if they match; otherwise, return false.
Empty Inputs:
• Not applicable, as the input always contains three nodes.
Large Inputs:
• Not applicable, as the input size is fixed to three nodes.
Special Values:
• All node values are zeros, e.g., root = [0, 0, 0].
• The root value is negative, and its children sum to match it.
Constraints:
• Ensure comparisons handle both negative and positive integers correctly.
bool checkTree(TreeNode* root) {
return (root->left->val)+(root->right->val)==root->val;
}
1 : Function Definition
bool checkTree(TreeNode* root) {
Defines the 'checkTree' function that takes a pointer to the root of a binary tree and returns a boolean value.
2 : Return Statement
return (root->left->val)+(root->right->val)==root->val;
Returns 'true' if the sum of the values of the left and right children of the root node equals the root's value; otherwise, returns 'false'.
Best Case: O(1)
Average Case: O(1)
Worst Case: O(1)
Description: The time complexity is constant because the binary tree always contains exactly three nodes.
Best Case: O(1)
Worst Case: O(1)
Description: The solution uses constant space as no additional memory is required beyond the input.
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