Problem: 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.
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.
Constraints:
- The number of nodes in the tree is in the range
[0, 5000]
. -1000 <= Node.val <= 1000
-1000 <= targetSum <= 1000
This problem is popular in LeetCode and GeeksForGeeks A collection of hundreds of interview questions and solutions are available in our blog at Interview Question
Solution:
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/** | |
Given a binary tree and a sum, determine if the tree has a root-to-leaf path such that adding up all the values along the path equals the given sum. | |
Note: A leaf is a node with no children. | |
Example: | |
Given the below binary tree and sum = 22, | |
5 | |
/ \ | |
4 8 | |
/ / \ | |
11 13 4 | |
/ \ \ | |
7 2 1 | |
return true, as there exist a root-to-leaf path 5->4->11->2 which sum is 22. | |
*/ | |
public class BinaryTreeRootToLeafPathSum{ | |
public boolean hasPathSum(TreeNode root, int sum){ | |
if(root==null){ | |
return sum==0; | |
} | |
//now recursively traverse the tree using DFS and check if the sum is obtained on the DFS path | |
int cursum = 0; | |
return performDFSTraversal(root, cursum, sum); | |
} | |
public boolean performDFSTraversal(TreeNode root, int cursum, int sum){ | |
if(root!=null && root.left==null && root.right==null && root.val+cursum==sum){ | |
return true; | |
} | |
if(root.left!=null){ | |
boolean leftvalid = performDFSTraversal(root.left, cursum+root.val, sum); | |
if(leftvalid){ | |
return true; | |
} | |
} | |
//now check the right branch | |
if(root.right!=null){ | |
return performDFSTraversal(root.right, cursum+root.val, sum); | |
} | |
return false; | |
} | |
} |
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