March 17, 2019

102. Binary Tree Level Order Traversal

102. Binary Tree Level Order Traversal

Solution1. BFS

这是一道经典 BFS 题目。

Tree related problem + address relationship on the same level -> 通常想到 BFS。用 Queue 实现。

expand(1)-> generate(3) and generate(2)
操作过程:1) Expand a node s 2) Generate s’s neighbor node: reach out to its nrighboring node: First, generate node 3, and then generate node 2. 数据结构:Queue (FIFO) (Termination condition is when the queue is empty.)
Time=O(n), Space=O(n)。

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
class Solution {
    public List<List<Integer>> levelOrder(TreeNode root) {
        List<List<Integer>> res = new ArrayList<>();
        if (root == null) {
            return res;
        }        
        Queue<TreeNode> queue = new LinkedList<>();
        queue.offer(root);
        while (!queue.isEmpty()) {
            int size = queue.size();
            List<Integer> cur = new ArrayList<>();
            for (int i = 0; i < size; i ++) {
                TreeNode curNode = queue.poll();
                cur.add(curNode.val);
                if (curNode.left != null) {
                    queue.offer(curNode.left);
                }
                if (curNode.right != null) {
                    queue.offer(curNode.right);
                }
            }
            res.add(cur);
        }
        return res;
    }
}

Solution2. DFS

本题也可以用 DFS 来做。Time=O(n), Space=O(n)。

/**
 * 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 List<List<Integer>> levelOrder(TreeNode root) {
        List<List<Integer>> res = new ArrayList<>();
        if (root == null) {
            return res;
        }
        helper(root, 0, res);
        return res;
    }
    
    private void helper(TreeNode node, int level, List<List<Integer>> res) {
        if (res.size() == level) {
            res.add(new ArrayList<>());
        }
        res.get(level).add(node.val);
        if (node.left != null) {
            helper(node.left, level + 1, res);
        }
        if (node.right != null) {
            helper(node.right, level + 1, res);
        }
    }
}
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