814. Binary Tree Pruning

Question

Given the root of a binary tree, return the same tree where every subtree (of the given tree) not containing a 1 has been removed.

A subtree of a node node is node plus every node that is a descendant of node.

Solution 1

DFS搜索，首先递归两个子节点。
在搜索时如果节点为0且两个子节点均为null，则返回null。否则返回节点本身。

Code

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode() {}
 *     TreeNode(int val) { this.val = val; }
 *     TreeNode(int val, TreeNode left, TreeNode right) {
 *         this.val = val;
 *         this.left = left;
 *         this.right = right;
 *     }
 * }
 */
class Solution {
    public TreeNode pruneTree(TreeNode root) {
        if(root == null) return null;
        root.left = pruneTree(root.left);
        root.right = pruneTree(root.right);
        if(root.left == null && root.right == null && root.val == 0) return null;
        else return root;
    }
}

Solution 2

DFS搜索，返回子节点和自己中是否包含1。
如果节点为null，则返回false。
如果自己为1，则返回true。
否则返回两个子节点中是否有true。

BFS搜索，根据每个节点的子节点是否包含1来决定左右子节点是否保存。
如果没有1，则将对应的子节点修改为null。

Code

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode() {}
 *     TreeNode(int val) { this.val = val; }
 *     TreeNode(int val, TreeNode left, TreeNode right) {
 *         this.val = val;
 *         this.left = left;
 *         this.right = right;
 *     }
 * }
 */
class Solution {
    public TreeNode pruneTree(TreeNode root) {
        if(!hasOne(root)) return null;
        Queue<TreeNode> q = new LinkedList<>();
        q.add(root);
        while(!q.isEmpty()){
            TreeNode curr = q.poll();
            if(hasOne(curr.left)) q.add(curr.left);
            else curr.left = null;
            if(hasOne(curr.right)) q.add(curr.right);
            else curr.right = null;
        }
        return root;
    }
    
    private boolean hasOne(TreeNode root){
        if(root == null) return false;
        if(root.val == 1) return true;
        else return hasOne(root.left) || hasOne(root.right);
    }
}