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| 1 | +/** |
| 2 | + * Definition for a binary tree node. |
| 3 | + * function TreeNode(val, left, right) { |
| 4 | + * this.val = (val===undefined ? 0 : val) |
| 5 | + * this.left = (left===undefined ? null : left) |
| 6 | + * this.right = (right===undefined ? null : right) |
| 7 | + * } |
| 8 | + */ |
| 9 | + |
| 10 | +/** |
| 11 | + * Level Order Traversal | BFS |
| 12 | + * Time O(n) | Space O(n) |
| 13 | + * https://leetcode.com/problems/even-odd-tree |
| 14 | + * @param {TreeNode} root |
| 15 | + * @return {boolean} |
| 16 | + */ |
| 17 | +var isEvenOddTree = function(root) { |
| 18 | + |
| 19 | + // helper function |
| 20 | + const isStricklyIncreasingAndOdd = (arr) => { |
| 21 | + |
| 22 | + for (let i = 0; i < arr.length; i++) { |
| 23 | + const currElement = arr[i]; |
| 24 | + const nextElement = (arr[i+1] !== undefined && arr[i+1]) || Infinity; |
| 25 | + if (currElement >= nextElement || currElement%2 === 0) return false; |
| 26 | + } |
| 27 | + |
| 28 | + return true; |
| 29 | + } |
| 30 | + |
| 31 | + // helper function |
| 32 | + const isStricklyDecreasingAndEven = (arr) => { |
| 33 | + |
| 34 | + for (let i = 0; i < arr.length; i++) { |
| 35 | + const currElement = arr[i]; |
| 36 | + const nextElement = (arr[i+1] !== undefined && arr[i+1]) || -Infinity; |
| 37 | + if (currElement <= nextElement || currElement%2 === 1) return false; |
| 38 | + } |
| 39 | + |
| 40 | + return true; |
| 41 | + } |
| 42 | + |
| 43 | + const q = new Queue(); |
| 44 | + q.enqueue([root, 0]); |
| 45 | + |
| 46 | + while (!q.isEmpty()) { |
| 47 | + const size = q.size(); |
| 48 | + |
| 49 | + const levelArr = []; |
| 50 | + const level = q.front()[1]; |
| 51 | + |
| 52 | + for (let i = 0; i < size; i++) { |
| 53 | + |
| 54 | + const element = q.dequeue(); |
| 55 | + const node = element[0]; |
| 56 | + levelArr.push(node.val); |
| 57 | + |
| 58 | + node.left && q.enqueue([node.left, level+1]); |
| 59 | + node.right && q.enqueue([node.right, level+1]); |
| 60 | + } |
| 61 | + |
| 62 | + if (level%2 === 0 && !isStricklyIncreasingAndOdd(levelArr)) return false; |
| 63 | + if (level%2 === 1 && !isStricklyDecreasingAndEven(levelArr)) return false; |
| 64 | + } |
| 65 | + |
| 66 | + return true; |
| 67 | +}; |
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