Please note time complexity is O(n^2).
One of the most frequently asked coding interview questions on Arrays in companies like Google, Facebook, Amazon, LinkedIn, Microsoft, Uber, Apple, Adobe etc.
LeetCode 437. Path Sum III
Question : 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:
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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Please note the corrected complexity:
Time complexity: O(n^2)
Space complexity: O(n)
![](https://i.ytimg.com/vi/x87RihNvRaY/mqdefault.jpg)