X293: Binary Tree Has Path Sum Exercise

We define a "root-to-leaf path" to be any sequence of nodes in a tree starting with the root node and proceeding downward to a leaf. The "root-to-leaf path sum" for that path is the sum of all the nodes (including the root) along that path. Define an empty tree to contain no root-to-leaf paths (and so its sum is zero). Define a tree with one node to have a root-to-leaf path consisting of just the root (and so its sum is the value of the root). Given a binary tree and a value "sum", return true if the tree has some root-to-leaf path such that adding up all the values along the path equals "sum". Return false if no such path can be found.

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