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112. Path Sum (Easy)

Date and Time: Jul 16, 2024, 21:17 (EST)

Link: https://leetcode.com/problems/path-sum/


Question:

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.

Edge case:

Input: root = [1, 2], targetSum = 1

Output: false

Explanation: We want the tree has a root-to-leaf path.


Constraints:

  • The number of nodes in the tree is in the range [0, 5000].

  • -1000 <= Node.val <= 1000

  • -1000 <= targetSum <= 1000


KeyPoints:

We recurse dfs on root.left and root.right, until we reach the leaf (if not root.left and not root.right), we start comparing if curSum == targetSum.


My 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
class Solution:
    def hasPathSum(self, root: Optional[TreeNode], targetSum: int) -> bool:
        # Running DFS from root to leaf, return True if curSum == targetSum

        # TC: O(n), n is # nodes in the tree, SC: O(1)
        def dfs(node, curSum):
            if not node:
                return False
            curSum += node.val
            # When we reach the leaf node
            if not node.left and not node.right:
                return curSum == targetSum
            return dfs(node.left, curSum) or dfs(node.right, curSum)
        return dfs(root, 0)

Time Complexity: $O(n)$
Space Complexity: $O(1)$


CC BY-NC-SABY: credit must be given to the creatorNC: Only noncommercial uses of the work are permittedSA: Adaptations must be shared under the same terms