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leetcode-problemset/leetcode-cn/problem (Chinese)/最长定差子序列 [longest-arithmetic-subsequence-of-given-difference].html

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2022-03-27 20:37:52 +08:00
<p>给你一个整数数组 <code>arr</code> 和一个整数 <code>difference</code>,请你找出并返回 <code>arr</code> 中最长等差子序列的长度,该子序列中相邻元素之间的差等于 <code>difference</code></p>
<p><strong>子序列</strong> 是指在不改变其余元素顺序的情况下,通过删除一些元素或不删除任何元素而从 <code>arr</code> 派生出来的序列。</p>
<p> </p>
<p><strong>示例 1</strong></p>
<pre>
<strong>输入:</strong>arr = [1,2,3,4], difference = 1
<strong>输出:</strong>4
<strong>解释:</strong>最长的等差子序列是 [1,2,3,4]。</pre>
<p><strong>示例 2</strong></p>
<pre>
<strong>输入:</strong>arr = [1,3,5,7], difference = 1
<strong>输出:</strong>1
<strong>解释:</strong>最长的等差子序列是任意单个元素。
</pre>
<p><strong>示例 3</strong></p>
<pre>
<strong>输入:</strong>arr = [1,5,7,8,5,3,4,2,1], difference = -2
<strong>输出:</strong>4
<strong>解释:</strong>最长的等差子序列是 [7,5,3,1]。
</pre>
<p> </p>
<p><strong>提示:</strong></p>
<ul>
<li><code>1 <= arr.length <= 10<sup>5</sup></code></li>
<li><code>-10<sup>4</sup> <= arr[i], difference <= 10<sup>4</sup></code></li>
</ul>