leetcode-problemset/leetcode-cn/originData/maximum-alternating-subsequence-sum.json

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            "questionId": "2022",
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            "categoryTitle": "Algorithms",
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            "title": "Maximum Alternating Subsequence Sum",
            "titleSlug": "maximum-alternating-subsequence-sum",
            "content": "<p>The <strong>alternating sum</strong> of a <strong>0-indexed</strong> array is defined as the <strong>sum</strong> of the elements at <strong>even</strong> indices <strong>minus</strong> the <strong>sum</strong> of the elements at <strong>odd</strong> indices.</p>\r\n\r\n<ul>\r\n\t<li>For example, the alternating sum of <code>[4,2,5,3]</code> is <code>(4 + 5) - (2 + 3) = 4</code>.</li>\r\n</ul>\r\n\r\n<p>Given an array <code>nums</code>, return <em>the <strong>maximum alternating sum</strong> of any subsequence of </em><code>nums</code><em> (after <strong>reindexing</strong> the elements of the subsequence)</em>.</p>\r\n\r\n<ul>\r\n</ul>\r\n\r\n<p>A <strong>subsequence</strong> of an array is a new array generated from the original array by deleting some elements (possibly none) without changing the remaining elements&#39; relative order. For example, <code>[2,7,4]</code> is a subsequence of <code>[4,<u>2</u>,3,<u>7</u>,2,1,<u>4</u>]</code> (the underlined elements), while <code>[2,4,2]</code> is not.</p>\r\n\r\n<p>&nbsp;</p>\r\n<p><strong class=\"example\">Example 1:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> nums = [<u>4</u>,<u>2</u>,<u>5</u>,3]\r\n<strong>Output:</strong> 7\r\n<strong>Explanation:</strong> It is optimal to choose the subsequence [4,2,5] with alternating sum (4 + 5) - 2 = 7.\r\n</pre>\r\n\r\n<p><strong class=\"example\">Example 2:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> nums = [5,6,7,<u>8</u>]\r\n<strong>Output:</strong> 8\r\n<strong>Explanation:</strong> It is optimal to choose the subsequence [8] with alternating sum 8.\r\n</pre>\r\n\r\n<p><strong class=\"example\">Example 3:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> nums = [<u>6</u>,2,<u>1</u>,2,4,<u>5</u>]\r\n<strong>Output:</strong> 10\r\n<strong>Explanation:</strong> It is optimal to choose the subsequence [6,1,5] with alternating sum (6 + 5) - 1 = 10.\r\n</pre>\r\n\r\n<p>&nbsp;</p>\r\n<p><strong>Constraints:</strong></p>\r\n\r\n<ul>\r\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\r\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>\r\n</ul>",
            "translatedTitle": "最大交替子序列和",
            "translatedContent": "<p>一个下标从 <strong>0</strong> 开始的数组的 <strong>交替和</strong> 定义为 <strong>偶数</strong> 下标处元素之 <strong>和</strong> 减去 <strong>奇数</strong> 下标处元素之 <strong>和</strong> 。</p>\n\n<ul>\n\t<li>比方说，数组 <code>[4,2,5,3]</code> 的交替和为 <code>(4 + 5) - (2 + 3) = 4</code> 。</li>\n</ul>\n\n<p>给你一个数组 <code>nums</code> ，请你返回 <code>nums</code> 中任意子序列的 <strong>最大交替和</strong> （子序列的下标 <strong>重新</strong> 从 0 开始编号）。</p>\n\n<ul>\n</ul>\n\n<p>一个数组的 <strong>子序列</strong> 是从原数组中删除一些元素后（也可能一个也不删除）剩余元素不改变顺序组成的数组。比方说，<code>[2,7,4]</code> 是 <code>[4,<strong>2</strong>,3,<strong>7</strong>,2,1,<strong>4</strong>]</code> 的一个子序列（加粗元素），但是 <code>[2,4,2]</code> 不是。</p>\n\n<p> </p>\n\n<p><b>示例 1：</b></p>\n\n<pre><b>输入：</b>nums = [<strong>4</strong>,<strong>2</strong>,<strong>5</strong>,3]\n<b>输出：</b>7\n<b>解释：</b>最优子序列为 [4,2,5] ，交替和为 (4 + 5) - 2 = 7 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><b>输入：</b>nums = [5,6,7,<strong>8</strong>]\n<b>输出：</b>8\n<b>解释：</b>最优子序列为 [8] ，交替和为 8 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><b>输入：</b>nums = [<strong>6</strong>,2,<strong>1</strong>,2,4,<strong>5</strong>]\n<b>输出：</b>10\n<b>解释：</b>最优子序列为 [6,1,5] ，交替和为 (6 + 5) - 1 = 10 。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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