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🔮 Question - 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:

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

🐉 Solution