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1609-奇偶树(Even Odd Tree)
发表于:2021-12-03 | 分类: 中等
字数统计: 984 | 阅读时长: 5分钟 | 阅读量:

原文链接: https://leetcode-cn.com/problems/even-odd-tree

英文原文

A binary tree is named Even-Odd if it meets the following conditions:

  • The root of the binary tree is at level index 0, its children are at level index 1, their children are at level index 2, etc.
  • For every even-indexed level, all nodes at the level have odd integer values in strictly increasing order (from left to right).
  • For every odd-indexed level, all nodes at the level have even integer values in strictly decreasing order (from left to right).

Given the root of a binary tree, return true if the binary tree is Even-Odd, otherwise return false.

 

Example 1:

Input: root = [1,10,4,3,null,7,9,12,8,6,null,null,2]
Output: true
Explanation: The node values on each level are:
Level 0: [1]
Level 1: [10,4]
Level 2: [3,7,9]
Level 3: [12,8,6,2]
Since levels 0 and 2 are all odd and increasing, and levels 1 and 3 are all even and decreasing, the tree is Even-Odd.

Example 2:

Input: root = [5,4,2,3,3,7]
Output: false
Explanation: The node values on each level are:
Level 0: [5]
Level 1: [4,2]
Level 2: [3,3,7]
Node values in the level 2 must be in strictly increasing order, so the tree is not Even-Odd.

Example 3:

Input: root = [5,9,1,3,5,7]
Output: false
Explanation: Node values in the level 1 should be even integers.

Example 4:

Input: root = [1]
Output: true

Example 5:

Input: root = [11,8,6,1,3,9,11,30,20,18,16,12,10,4,2,17]
Output: true

 

Constraints:

  • The number of nodes in the tree is in the range [1, 105].
  • 1 <= Node.val <= 106

中文题目

如果一棵二叉树满足下述几个条件,则可以称为 奇偶树

  • 二叉树根节点所在层下标为 0 ,根的子节点所在层下标为 1 ,根的孙节点所在层下标为 2 ,依此类推。
  • 偶数下标 层上的所有节点的值都是 整数,从左到右按顺序 严格递增
  • 奇数下标 层上的所有节点的值都是 整数,从左到右按顺序 严格递减

给你二叉树的根节点,如果二叉树为 奇偶树 ,则返回 true ,否则返回 false

 

示例 1:

输入:root = [1,10,4,3,null,7,9,12,8,6,null,null,2]
输出:true
解释:每一层的节点值分别是:
0 层:[1]
1 层:[10,4]
2 层:[3,7,9]
3 层:[12,8,6,2]
由于 0 层和 2 层上的节点值都是奇数且严格递增,而 1 层和 3 层上的节点值都是偶数且严格递减,因此这是一棵奇偶树。

示例 2:

输入:root = [5,4,2,3,3,7]
输出:false
解释:每一层的节点值分别是:
0 层:[5]
1 层:[4,2]
2 层:[3,3,7]
2 层上的节点值不满足严格递增的条件,所以这不是一棵奇偶树。

示例 3:

输入:root = [5,9,1,3,5,7]
输出:false
解释:1 层上的节点值应为偶数。

示例 4:

输入:root = [1]
输出:true

示例 5:

输入:root = [11,8,6,1,3,9,11,30,20,18,16,12,10,4,2,17]
输出:true

 

提示:

  • 树中节点数在范围 [1, 105]
  • 1 <= Node.val <= 106

通过代码

高赞题解

解题思路

此处撰写解题思路

代码

/**
 * 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 boolean isEvenOddTree(TreeNode root) {
         Queue<TreeNode> queue=new LinkedList<>();
            List<List<Integer>> lists=new ArrayList<>();
            if(root != null){
                queue.add(root);
            }
            while(!queue.isEmpty()){
                List<Integer> list=new ArrayList<>();
                for(int i=queue.size();i>0;i--){
                    TreeNode tmp =queue.poll();
                    list.add(tmp.val);
                    if(tmp.left != null){
                        queue.add(tmp.left);
                    }
                    if(tmp.right != null){
                        queue.add(tmp.right);
                    }
                }
                lists.add(list);
            }

            if(lists.get(0).get(0) %2 == 0){
                    return false;
            }

            for(int i=1;i<lists.size();i++){
                for(int j=0;j<lists.get(i).size();j++){
                        if(i%2!=0){
                             if(lists.get(i).get(j) %2!=0 ){
                                return false;
                            }

                            if(j+1<lists.get(i).size() &&(lists.get(i).get(j) %2!=0 || lists.get(i).get(j) - lists.get(i).get(j+1) < 0 || lists.get(i).get(j) ==lists.get(i).get(j+1) )){
                                return false;
                            }
                        }else{
                            if( lists.get(i).get(j) %2==0 ){
                                return false;
                            }

                            if(j+1<lists.get(i).size() && (lists.get(i).get(j) %2==0 || lists.get(i).get(j) - lists.get(i).get(j+1) > 0 || lists.get(i).get(j) ==lists.get(i).get(j+1) ) ){
                                return false;
                            }
                        }
                }
            }
            return true;
    }
}

统计信息

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7580 14821 51.1%

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