LeetCode-in-All

437. Path Sum III

Medium

Given the root of a binary tree and an integer targetSum, return the number of paths where the sum of the values along the path equals targetSum.

The path does not need to start or end at the root or a leaf, but it must go downwards (i.e., traveling only from parent nodes to child nodes).

Example 1:

Input: root = [10,5,-3,3,2,null,11,3,-2,null,1], targetSum = 8

Output: 3

Explanation: The paths that sum to 8 are shown.

Example 2:

Input: root = [5,4,8,11,null,13,4,7,2,null,null,5,1], targetSum = 22

Output: 3

Constraints:

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 __init__(self):
        self.count = 0

    def pathSum(self, root: Optional[TreeNode], targetSum: int) -> int:
        if root is None:
            return 0
        self.helper(root, targetSum, 0)
        self.pathSum(root.left, targetSum)
        self.pathSum(root.right, targetSum)
        return self.count

    def helper(self, node: TreeNode, targetSum: int, currSum: int) -> None:
        if node is None:
            return
        currSum += node.val
        if targetSum == currSum:
            self.count += 1
        if node.left is not None:
            self.helper(node.left, targetSum, currSum)
        if node.right is not None:
            self.helper(node.right, targetSum, currSum)