leetcode-problemset/leetcode-cn/originData/arithmetic-slices-ii-subsequence.json

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            "title": "Arithmetic Slices II - Subsequence",
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            "content": "<p>Given an integer array <code>nums</code>, return <em>the number of all the <strong>arithmetic subsequences</strong> of</em> <code>nums</code>.</p>\n\n<p>A sequence of numbers is called arithmetic if it consists of <strong>at least three elements</strong> and if the difference between any two consecutive elements is the same.</p>\n\n<ul>\n\t<li>For example, <code>[1, 3, 5, 7, 9]</code>, <code>[7, 7, 7, 7]</code>, and <code>[3, -1, -5, -9]</code> are arithmetic sequences.</li>\n\t<li>For example, <code>[1, 1, 2, 5, 7]</code> is not an arithmetic sequence.</li>\n</ul>\n\n<p>A <strong>subsequence</strong> of an array is a sequence that can be formed by removing some elements (possibly none) of the array.</p>\n\n<ul>\n\t<li>For example, <code>[2,5,10]</code> is a subsequence of <code>[1,2,1,<strong><u>2</u></strong>,4,1,<u><strong>5</strong></u>,<u><strong>10</strong></u>]</code>.</li>\n</ul>\n\n<p>The test cases are generated so that the answer fits in <strong>32-bit</strong> integer.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,4,6,8,10]\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> All arithmetic subsequence slices are:\n[2,4,6]\n[4,6,8]\n[6,8,10]\n[2,4,6,8]\n[4,6,8,10]\n[2,4,6,8,10]\n[2,6,10]\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [7,7,7,7,7]\n<strong>Output:</strong> 16\n<strong>Explanation:</strong> Any subsequence of this array is arithmetic.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1&nbsp; &lt;= nums.length &lt;= 1000</code></li>\n\t<li><code>-2<sup>31</sup> &lt;= nums[i] &lt;= 2<sup>31</sup> - 1</code></li>\n</ul>\n",
            "translatedTitle": "等差数列划分 II - 子序列",
            "translatedContent": "<p>给你一个整数数组 <code>nums</code> ，返回 <code>nums</code> 中所有 <strong>等差子序列</strong> 的数目。</p>\n\n<p>如果一个序列中 <strong>至少有三个元素</strong> ，并且任意两个相邻元素之差相同，则称该序列为等差序列。</p>\n\n<ul>\n\t<li>例如，<code>[1, 3, 5, 7, 9]</code>、<code>[7, 7, 7, 7]</code> 和 <code>[3, -1, -5, -9]</code> 都是等差序列。</li>\n\t<li>再例如，<code>[1, 1, 2, 5, 7]</code> 不是等差序列。</li>\n</ul>\n\n<p>数组中的子序列是从数组中删除一些元素（也可能不删除）得到的一个序列。</p>\n\n<ul>\n\t<li>例如，<code>[2,5,10]</code> 是 <code>[1,2,1,<em><strong>2</strong></em>,4,1,<strong><em>5</em></strong>,<em><strong>10</strong></em>]</code> 的一个子序列。</li>\n</ul>\n\n<p>题目数据保证答案是一个 <strong>32-bit</strong> 整数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [2,4,6,8,10]\n<strong>输出：</strong>7\n<strong>解释：</strong>所有的等差子序列为：\n[2,4,6]\n[4,6,8]\n[6,8,10]\n[2,4,6,8]\n[4,6,8,10]\n[2,4,6,8,10]\n[2,6,10]\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [7,7,7,7,7]\n<strong>输出：</strong>16\n<strong>解释：</strong>数组中的任意子序列都是等差子序列。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1&nbsp; &lt;= nums.length &lt;= 1000</code></li>\n\t<li><code>-2<sup>31</sup> &lt;= nums[i] &lt;= 2<sup>31</sup> - 1</code></li>\n</ul>\n",
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