1609. Even Odd Tree
https://leetcode.com/problems/even-odd-tree
Description
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 index1
, their children are at level index2
, 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
ac
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