Problem Description
Given the root of a binary tree and an integer targetSum, return true if the tree has a root-to-leaf path such that adding up all the values along the path equals targetSum.
A leaf is a node with no children.
Examples
Example 1: Input: root = [5,4,8,11,null,13,4,7,2,null,null,null,1], targetSum = 22 Output: true Explanation: The root-to-leaf path with the target sum is shown. Example 2: Input: root = [1,2,3], targetSum = 5 Output: false Explanation: There two root-to-leaf paths in the tree: (1 → 2): The sum is 3 (1 → 3): The sum is 4 There is no root-to-leaf path with sum = 5. Example 3: Input: root = [], targetSum = 0 Output: false Explanation: Since the tree is empty, there are no root-to-leaf paths.
Python Solution
# Definition for a binary tree node.
# class TreeNode:
# def __init__(self, val=0, left=None, right=None):
# self.val = val
# self.left = left
# self.right = right
def hasPathSum(root: Optional[TreeNode], targetSum: int) -> bool:
if not root:
return False
# If it's a leaf node, check if current value equals remaining sum
if not root.left and not root.right:
return root.val == targetSum
# Recursively check left and right subtrees with reduced target
return (hasPathSum(root.left, targetSum - root.val) or
hasPathSum(root.right, targetSum - root.val))
Java Solution
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode() {}
* TreeNode(int val) { this.val = val; }
* TreeNode(int val, TreeNode left, TreeNode right) {
* this.val = val;
* this.left = left;
* this.right = right;
* }
* }
*/
class Solution {
public boolean hasPathSum(TreeNode root, int targetSum) {
if (root == null) {
return false;
}
// If it's a leaf node, check if current value equals remaining sum
if (root.left == null && root.right == null) {
return root.val == targetSum;
}
// Recursively check left and right subtrees with reduced target
return hasPathSum(root.left, targetSum - root.val) ||
hasPathSum(root.right, targetSum - root.val);
}
}
C++ Solution
/**
* Definition for a binary tree node.
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode() : val(0), left(nullptr), right(nullptr) {}
* TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
* TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
* };
*/
class Solution {
public:
bool hasPathSum(TreeNode* root, int targetSum) {
if (!root) {
return false;
}
// If it's a leaf node, check if current value equals remaining sum
if (!root->left && !root->right) {
return root->val == targetSum;
}
// Recursively check left and right subtrees with reduced target
return hasPathSum(root->left, targetSum - root->val) ||
hasPathSum(root->right, targetSum - root->val);
}
};
JavaScript Solution
/**
* Definition for a binary tree node.
* function TreeNode(val, left, right) {
* this.val = (val===undefined ? 0 : val)
* this.left = (left===undefined ? null : left)
* this.right = (right===undefined ? null : right)
* }
*/
/**
* @param {TreeNode} root
* @param {number} targetSum
* @return {boolean}
*/
var hasPathSum = function(root, targetSum) {
if (!root) {
return false;
}
// If it's a leaf node, check if current value equals remaining sum
if (!root.left && !root.right) {
return root.val === targetSum;
}
// Recursively check left and right subtrees with reduced target
return hasPathSum(root.left, targetSum - root.val) ||
hasPathSum(root.right, targetSum - root.val);
};
C# Solution
/**
* Definition for a binary tree node.
* public class TreeNode {
* public int val;
* public TreeNode left;
* public TreeNode right;
* public TreeNode(int val=0, TreeNode left=null, TreeNode right=null) {
* this.val = val;
* this.left = left;
* this.right = right;
* }
* }
*/
public class Solution {
public bool HasPathSum(TreeNode root, int targetSum) {
if (root == null) {
return false;
}
// If it's a leaf node, check if current value equals remaining sum
if (root.left == null && root.right == null) {
return root.val == targetSum;
}
// Recursively check left and right subtrees with reduced target
return HasPathSum(root.left, targetSum - root.val) ||
HasPathSum(root.right, targetSum - root.val);
}
}
Complexity Analysis
- Time Complexity: O(n) where n is the number of nodes in the tree
- Space Complexity: O(h) where h is the height of the tree
Solution Explanation
This solution uses a recursive DFS approach:
- Key concept:
- Path sum tracking
- Leaf node check
- Recursive traversal
- Algorithm steps:
- Check base cases
- Verify leaf nodes
- Reduce target sum
- Traverse recursively
Key points:
- Handle empty tree
- Check leaf nodes
- Subtract node values
- Efficient recursion