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// Root is the node that we start with, but also what we continue with.
// Val is used to keep track of the value at the current depth that we
// have to add the current node to.
- (NSInteger)sumOfPaths:(Node<NSNumber *> *)root val:(NSInteger)val {
    NSInteger total = 0;
    
    val = (val * 10) + root.val.integerValue;
    // If there are any nodes left, then visit them.
    if (root.right || root.left) {
        if (root.right) {
            total += [self sumOfPaths:root.right val:val];
        }
        
        if (root.left) {
            total += [self sumOfPaths:root.left val:val];
        }
        
    } else {
        // If there isn't a right or left, then this is a dead end.
        // Time to count.
        total = val;
    }
    
    return total;
}