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leetcode-problemset/leetcode-cn/originData/find-the-maximum-length-of-valid-subsequence-i.json
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{
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"question": {
"questionId": "3490",
"questionFrontendId": "3201",
"categoryTitle": "Algorithms",
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"title": "Find the Maximum Length of Valid Subsequence I",
"titleSlug": "find-the-maximum-length-of-valid-subsequence-i",
"content": "You are given an integer array <code>nums</code>.\n<p>A <span data-keyword=\"subsequence-array\">subsequence</span> <code>sub</code> of <code>nums</code> with length <code>x</code> is called <strong>valid</strong> if it satisfies:</p>\n\n<ul>\n\t<li><code>(sub[0] + sub[1]) % 2 == (sub[1] + sub[2]) % 2 == ... == (sub[x - 2] + sub[x - 1]) % 2.</code></li>\n</ul>\n\n<p>Return the length of the <strong>longest</strong> <strong>valid</strong> subsequence of <code>nums</code>.</p>\n\n<p>A <strong>subsequence</strong> is an array that can be derived from another array by deleting some or no elements without changing the order of the remaining elements.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [1,2,3,4]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The longest valid subsequence is <code>[1, 2, 3, 4]</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [1,2,1,1,2,1,2]</span></p>\n\n<p><strong>Output:</strong> 6</p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The longest valid subsequence is <code>[1, 2, 1, 2, 1, 2]</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [1,3]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The longest valid subsequence is <code>[1, 3]</code>.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 2 * 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>7</sup></code></li>\n</ul>\n",
"translatedTitle": "找出有效子序列的最大长度 I",
"translatedContent": "<p>给你一个整数数组 <code>nums</code>。</p>\n\n<p><code>nums</code> 的子序列 <code>sub</code> 的长度为 <code>x</code> ,如果其满足以下条件,则称其为 <strong>有效子序列</strong></p>\n\n<ul>\n\t<li><code>(sub[0] + sub[1]) % 2 == (sub[1] + sub[2]) % 2 == ... == (sub[x - 2] + sub[x - 1]) % 2</code></li>\n</ul>\n\n<p>返回 <code>nums</code> 的 <strong>最长的有效子序列</strong> 的长度。</p>\n\n<p>一个&nbsp;<strong>子序列</strong>&nbsp;指的是从原数组中删除一些元素(也可以不删除任何元素),剩余元素保持原来顺序组成的新数组。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">nums = [1,2,3,4]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>最长的有效子序列是 <code>[1, 2, 3, 4]</code>。</p>\n</div>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">nums = [1,2,1,1,2,1,2]</span></p>\n\n<p><strong>输出:</strong> 6</p>\n\n<p><strong>解释:</strong></p>\n\n<p>最长的有效子序列是 <code>[1, 2, 1, 2, 1, 2]</code>。</p>\n</div>\n\n<p><strong class=\"example\">示例 3</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">nums = [1,3]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>最长的有效子序列是 <code>[1, 3]</code>。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 2 * 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>7</sup></code></li>\n</ul>\n",
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"Considering only the parity of elements, there are only 4 possibilities and we can try all of them.",
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