We are given the head node 
root of a binary tree, where additionally every node's value is either a 0 or a 1.
Return the same tree where every subtree (of the given tree) not containing a 1 has been removed.
(Recall that the subtree of a node X is X, plus every node that is a descendant of X.)
Example 1: Input: [1,null,0,0,1] Output: [1,null,0,null,1] Explanation: Only the red nodes satisfy the property "every subtree not containing a 1". The diagram on the right represents the answer.![]()
Example 2: Input: [1,0,1,0,0,0,1] Output: [1,null,1,null,1]![]()
Example 3: Input: [1,1,0,1,1,0,1,0] Output: [1,1,0,1,1,null,1]![]()
Note:
- The binary tree will have at most 
100 nodes. - The value of each node will only be 
0or1. 
/*
 * @lc app=leetcode id=814 lang=java
 *
 * [814] Binary Tree Pruning
 */
/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
class Solution {
    public TreeNode pruneTree(TreeNode root) {
        if (root == null) {
            return null;
        }
        ResultType ans = pruneTreeHelper(root);
        return ans.root;
    }
    private ResultType pruneTreeHelper(TreeNode root) {
        if (root == null) {
            return new ResultType(null, true);
        }
        ResultType left = pruneTreeHelper(root.left);
        ResultType right = pruneTreeHelper(root.right);
        if (left.isZeroTree) {
            root.left = null;
        }
        if (right.isZeroTree) {
            root.right = null;
        }
        boolean isZeroTree = left.isZeroTree && right.isZeroTree && root.val == 0;
        
        return new ResultType(root, isZeroTree);
    }
}
class ResultType {
    TreeNode root;
    boolean isZeroTree;
    public ResultType(TreeNode root, boolean isZeroTree) {
        this.root = root;
        this.isZeroTree = isZeroTree;
    }
}
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