Good morning! Here's your coding interview problem for today.

This question was asked by BufferBox.

Given a binary tree where all nodes are either 0 or 1, prune the tree so that subtrees containing all 0s are removed.

For example, given the following tree:

   0
  / \
 1   0
    / \
   1   0
  / \
 0   0

should be pruned to:

   0
  / \
 1   0
    /
   1

We do not remove the tree at the root or its left child because it still has a 1 as a descendant.