leetcode-problemset/leetcode-cn/originData/length-of-longest-fibonacci-subsequence.json

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            "title": "Length of Longest Fibonacci Subsequence",
            "titleSlug": "length-of-longest-fibonacci-subsequence",
            "content": "<p>A sequence <code>x<sub>1</sub>, x<sub>2</sub>, ..., x<sub>n</sub></code> is <em>Fibonacci-like</em> if:</p>\n\n<ul>\n\t<li><code>n &gt;= 3</code></li>\n\t<li><code>x<sub>i</sub> + x<sub>i+1</sub> == x<sub>i+2</sub></code> for all <code>i + 2 &lt;= n</code></li>\n</ul>\n\n<p>Given a <b>strictly increasing</b> array <code>arr</code> of positive integers forming a sequence, return <em>the <strong>length</strong> of the longest Fibonacci-like subsequence of</em> <code>arr</code>. If one does not exist, return <code>0</code>.</p>\n\n<p>A <strong>subsequence</strong> is derived from another sequence <code>arr</code> by deleting any number of elements (including none) from <code>arr</code>, without changing the order of the remaining elements. For example, <code>[3, 5, 8]</code> is a subsequence of <code>[3, 4, 5, 6, 7, 8]</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1,2,3,4,5,6,7,8]\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> The longest subsequence that is fibonacci-like: [1,2,3,5,8].</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1,3,7,11,12,14,18]\n<strong>Output:</strong> 3\n<strong>Explanation</strong>:<strong> </strong>The longest subsequence that is fibonacci-like: [1,11,12], [3,11,14] or [7,11,18].</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= arr.length &lt;= 1000</code></li>\n\t<li><code>1 &lt;= arr[i] &lt; arr[i + 1] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
            "translatedTitle": "最长的斐波那契子序列的长度",
            "translatedContent": "<p>如果序列 <code>X_1, X_2, ..., X_n</code> 满足下列条件，就说它是 <em>斐波那契式 </em>的：</p>\n\n<ul>\n\t<li><code>n >= 3</code></li>\n\t<li>对于所有 <code>i + 2 <= n</code>，都有 <code>X_i + X_{i+1} = X_{i+2}</code></li>\n</ul>\n\n<p>给定一个<strong>严格递增</strong>的正整数数组形成序列 arr ，找到 <font color=\"#c7254e\"><font face=\"Menlo, Monaco, Consolas, Courier New, monospace\"><span style=\"font-size:12.600000381469727px\"><span style=\"caret-color:#c7254e\"><span style=\"background-color:#f9f2f4\">arr</span></span></span></font></font> 中最长的斐波那契式的子序列的长度。如果一个不存在，返回  0 。</p>\n\n<p><em>（回想一下，子序列是从原序列 <font color=\"#c7254e\"><font face=\"Menlo, Monaco, Consolas, Courier New, monospace\"><span style=\"font-size:12.600000381469727px\"><span style=\"caret-color:#c7254e\"><span style=\"background-color:#f9f2f4\">arr</span></span></span></font></font> 中派生出来的，它从 <font color=\"#c7254e\"><font face=\"Menlo, Monaco, Consolas, Courier New, monospace\"><span style=\"font-size:12.600000381469727px\"><span style=\"caret-color:#c7254e\"><span style=\"background-color:#f9f2f4\">arr</span></span></span></font></font> 中删掉任意数量的元素（也可以不删），而不改变其余元素的顺序。例如， <code>[3, 5, 8]</code> 是 <code>[3, 4, 5, 6, 7, 8]</code> 的一个子序列）</em></p>\n\n<p> </p>\n\n<ul>\n</ul>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入: </strong>arr =<strong> </strong>[1,2,3,4,5,6,7,8]\n<strong>输出: </strong>5\n<strong>解释: </strong>最长的斐波那契式子序列为 [1,2,3,5,8] 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入: </strong>arr =<strong> </strong>[1,3,7,11,12,14,18]\n<strong>输出: </strong>3\n<strong>解释</strong>: 最长的斐波那契式子序列有 [1,11,12]、[3,11,14] 以及 [7,11,18] 。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>3 <= arr.length <= 1000</code></li>\n\t<li>\n\t<p><code>1 <= arr[i] < arr[i + 1] <= 10^9</code></p>\n\t</li>\n</ul>\n",
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