LeetCode: Path Sum III

LeetCode: Path Sum III

You are given a binary tree in which each node contains an integer value.

Find the number of paths that sum to a given value.

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

The tree has no more than 1,000 nodes and the values are in the range -1,000,000 to 1,000,000.

Example:

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root = [10,5,-3,3,2,null,11,3,-2,null,1], sum = 8

10
/ \
5 -3
/ \ \
3 2 11
/ \ \
3 -2 1

Return 3. The paths that sum to 8 are:

1. 5 -> 3
2. 5 -> 2 -> 1
3. -3 -> 11
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/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
public class Solution {
public int pathSum(TreeNode root, int sum) {
if (root == null) return 0;
return helper(root, sum) + pathSum(root.left, sum) + pathSum(root.right, sum);
}

private int helper(TreeNode node, int sum) {
if (node == null) return 0;
int result = 0;
if (node.val == sum) {
result++;
}
result += helper(node.left, sum - node.val);
result += helper(node.right, sum - node.val);
return result;
}
}