mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-10 18:48:13 +08:00
182 lines
29 KiB
JSON
182 lines
29 KiB
JSON
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"categoryTitle": "Algorithms",
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"title": "Even Odd Tree",
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"titleSlug": "even-odd-tree",
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"content": "<p>A binary tree is named <strong>Even-Odd</strong> if it meets the following conditions:</p>\n\n<ul>\n\t<li>The root of the binary tree is at level index <code>0</code>, its children are at level index <code>1</code>, their children are at level index <code>2</code>, etc.</li>\n\t<li>For every <strong>even-indexed</strong> level, all nodes at the level have <strong>odd</strong> integer values in <strong>strictly increasing</strong> order (from left to right).</li>\n\t<li>For every <b>odd-indexed</b> level, all nodes at the level have <b>even</b> integer values in <strong>strictly decreasing</strong> order (from left to right).</li>\n</ul>\n\n<p>Given the <code>root</code> of a binary tree, <em>return </em><code>true</code><em> if the binary tree is <strong>Even-Odd</strong>, otherwise return </em><code>false</code><em>.</em></p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/09/15/sample_1_1966.png\" style=\"width: 362px; height: 229px;\" />\n<pre>\n<strong>Input:</strong> root = [1,10,4,3,null,7,9,12,8,6,null,null,2]\n<strong>Output:</strong> true\n<strong>Explanation:</strong> The node values on each level are:\nLevel 0: [1]\nLevel 1: [10,4]\nLevel 2: [3,7,9]\nLevel 3: [12,8,6,2]\nSince levels 0 and 2 are all odd and increasing and levels 1 and 3 are all even and decreasing, the tree is Even-Odd.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/09/15/sample_2_1966.png\" style=\"width: 363px; height: 167px;\" />\n<pre>\n<strong>Input:</strong> root = [5,4,2,3,3,7]\n<strong>Output:</strong> false\n<strong>Explanation:</strong> The node values on each level are:\nLevel 0: [5]\nLevel 1: [4,2]\nLevel 2: [3,3,7]\nNode values in level 2 must be in strictly increasing order, so the tree is not Even-Odd.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/09/22/sample_1_333_1966.png\" style=\"width: 363px; height: 167px;\" />\n<pre>\n<strong>Input:</strong> root = [5,9,1,3,5,7]\n<strong>Output:</strong> false\n<strong>Explanation:</strong> Node values in the level 1 should be even integers.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li>The number of nodes in the tree is in the range <code>[1, 10<sup>5</sup>]</code>.</li>\n\t<li><code>1 <= Node.val <= 10<sup>6</sup></code></li>\n</ul>\n",
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"translatedTitle": "奇偶树",
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"translatedContent": "<p>如果一棵二叉树满足下述几个条件，则可以称为 <strong>奇偶树</strong> ：</p>\n\n<ul>\n\t<li>二叉树根节点所在层下标为 <code>0</code> ，根的子节点所在层下标为 <code>1</code> ，根的孙节点所在层下标为 <code>2</code> ，依此类推。</li>\n\t<li><strong>偶数下标</strong> 层上的所有节点的值都是 <strong>奇</strong> 整数，从左到右按顺序 <strong>严格递增</strong></li>\n\t<li><strong>奇数下标</strong> 层上的所有节点的值都是 <strong>偶</strong> 整数，从左到右按顺序 <strong>严格递减</strong></li>\n</ul>\n\n<p>给你二叉树的根节点，如果二叉树为 <strong>奇偶树 </strong>，则返回 <code>true</code> ，否则返回 <code>false</code> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/10/04/sample_1_1966.png\" style=\"height: 229px; width: 362px;\" /></strong></p>\n\n<pre>\n<strong>输入：</strong>root = [1,10,4,3,null,7,9,12,8,6,null,null,2]\n<strong>输出：</strong>true\n<strong>解释：</strong>每一层的节点值分别是：\n0 层：[1]\n1 层：[10,4]\n2 层：[3,7,9]\n3 层：[12,8,6,2]\n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。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/10/04/sample_2_1966.png\" style=\"height: 167px; width: 363px;\" /></strong></p>\n\n<pre>\n<strong>输入：</strong>root = [5,4,2,3,3,7]\n<strong>输出：</strong>false\n<strong>解释：</strong>每一层的节点值分别是：\n0 层：[5]\n1 层：[4,2]\n2 层：[3,3,7]\n2 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。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/10/04/sample_1_333_1966.png\" style=\"height: 167px; width: 363px;\" /></p>\n\n<pre>\n<strong>输入：</strong>root = [5,9,1,3,5,7]\n<strong>输出：</strong>false\n<strong>解释：</strong>1 层上的节点值应为偶数。\n</pre>\n\n<p><strong>示例 4：</strong></p>\n\n<pre>\n<strong>输入：</strong>root = [1]\n<strong>输出：</strong>true\n</pre>\n\n<p><strong>示例 5：</strong></p>\n\n<pre>\n<strong>输入：</strong>root = [11,8,6,1,3,9,11,30,20,18,16,12,10,4,2,17]\n<strong>输出：</strong>true\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li>树中节点数在范围 <code>[1, 10<sup>5</sup>]</code> 内</li>\n\t<li><code>1 <= Node.val <= 10<sup>6</sup></code></li>\n</ul>\n",
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