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leetcode-problemset/leetcode-cn/problem (Chinese)/可行数组的数目 [find-the-number-of-copy-arrays].html
2025-03-14 03:44:12 +08:00

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<p>给你一个长度为 <code>n</code> 的数组 <code>original</code> 和一个长度为 <code>n x 2</code> 的二维数组 <code>bounds</code>,其中 <code>bounds[i] = [u<sub>i</sub>, v<sub>i</sub>]</code></p>
<p>你需要找到长度为 <code>n</code>&nbsp;且满足以下条件的&nbsp;<strong>可能的&nbsp;</strong>数组 <code>copy</code> 的数量:</p>
<ol>
<li>对于 <code>1 &lt;= i &lt;= n - 1</code>&nbsp;,都有&nbsp;<code>(copy[i] - copy[i - 1]) == (original[i] - original[i - 1])</code>&nbsp;</li>
<li>对于 <code>0 &lt;= i &lt;= n - 1</code>&nbsp;,都有&nbsp;<code>u<sub>i</sub> &lt;= copy[i] &lt;= v<sub>i</sub></code><sub>&nbsp;</sub></li>
</ol>
<p>返回满足这些条件的数组数目。</p>
<p>&nbsp;</p>
<p><strong class="example">示例 1</strong></p>
<div class="example-block">
<p><strong>输入:</strong><span class="example-io">original = [1,2,3,4], bounds = [[1,2],[2,3],[3,4],[4,5]]</span></p>
<p><strong>输出:</strong><span class="example-io">2</span></p>
<p><strong>解释:</strong></p>
<p>可能的数组为:</p>
<ul>
<li><code>[1, 2, 3, 4]</code></li>
<li><code>[2, 3, 4, 5]</code></li>
</ul>
</div>
<p><strong class="example">示例 2</strong></p>
<div class="example-block">
<p><strong>输入:</strong><span class="example-io">original = [1,2,3,4], bounds = [[1,10],[2,9],[3,8],[4,7]]</span></p>
<p><strong>输出:</strong><span class="example-io">4</span></p>
<p><strong>解释:</strong></p>
<p>可能的数组为:</p>
<ul>
<li><code>[1, 2, 3, 4]</code></li>
<li><code>[2, 3, 4, 5]</code></li>
<li><code>[3, 4, 5, 6]</code></li>
<li><code>[4, 5, 6, 7]</code></li>
</ul>
</div>
<p><strong class="example">示例 3</strong></p>
<div class="example-block">
<p><strong>输入:</strong><span class="example-io">original = [1,2,1,2], bounds = [[1,1],[2,3],[3,3],[2,3]]</span></p>
<p><strong>输出:</strong><span class="example-io">0</span></p>
<p><strong>解释:</strong></p>
<p>没有可行的数组。</p>
</div>
<p>&nbsp;</p>
<p><b>提示:</b></p>
<ul>
<li><code>2 &lt;= n == original.length &lt;= 10<sup>5</sup></code></li>
<li><code>1 &lt;= original[i] &lt;= 10<sup>9</sup></code></li>
<li><code>bounds.length == n</code></li>
<li><code>bounds[i].length == 2</code></li>
<li><code>1 &lt;= bounds[i][0] &lt;= bounds[i][1] &lt;= 10<sup>9</sup></code></li>
</ul>