leetcode-problemset/leetcode-cn/originData/find-the-number-of-copy-arrays.json

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        "question": {
            "questionId": "3785",
            "questionFrontendId": "3468",
            "categoryTitle": "Algorithms",
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            "title": "Find the Number of Copy Arrays",
            "titleSlug": "find-the-number-of-copy-arrays",
            "content": "<p>You are given an array <code>original</code> of length <code>n</code> and a 2D array <code>bounds</code> of length <code>n x 2</code>, where <code>bounds[i] = [u<sub>i</sub>, v<sub>i</sub>]</code>.</p>\n\n<p>You need to find the number of <strong>possible</strong> arrays <code>copy</code> of length <code>n</code> such that:</p>\n\n<ol>\n\t<li><code>(copy[i] - copy[i - 1]) == (original[i] - original[i - 1])</code> for <code>1 &lt;= i &lt;= n - 1</code>.</li>\n\t<li><code>u<sub>i</sub> &lt;= copy[i] &lt;= v<sub>i</sub></code> for <code>0 &lt;= i &lt;= n - 1</code>.</li>\n</ol>\n\n<p>Return the number of such arrays.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">original = [1,2,3,4], bounds = [[1,2],[2,3],[3,4],[4,5]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The possible arrays are:</p>\n\n<ul>\n\t<li><code>[1, 2, 3, 4]</code></li>\n\t<li><code>[2, 3, 4, 5]</code></li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">original = [1,2,3,4], bounds = [[1,10],[2,9],[3,8],[4,7]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The possible arrays are:</p>\n\n<ul>\n\t<li><code>[1, 2, 3, 4]</code></li>\n\t<li><code>[2, 3, 4, 5]</code></li>\n\t<li><code>[3, 4, 5, 6]</code></li>\n\t<li><code>[4, 5, 6, 7]</code></li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">original = [1,2,1,2], bounds = [[1,1],[2,3],[3,3],[2,3]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>No array is possible.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n == original.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= original[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>bounds.length == n</code></li>\n\t<li><code>bounds[i].length == 2</code></li>\n\t<li><code>1 &lt;= bounds[i][0] &lt;= bounds[i][1] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
            "translatedTitle": "可行数组的数目",
            "translatedContent": "<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>\n\n<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>\n\n<ol>\n\t<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>\n\t<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>\n</ol>\n\n<p>返回满足这些条件的数组数目。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<div class=\"example-block\">\n<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>\n\n<p><strong>输出：</strong><span class=\"example-io\">2</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>可能的数组为：</p>\n\n<ul>\n\t<li><code>[1, 2, 3, 4]</code></li>\n\t<li><code>[2, 3, 4, 5]</code></li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<div class=\"example-block\">\n<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>\n\n<p><strong>输出：</strong><span class=\"example-io\">4</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>可能的数组为：</p>\n\n<ul>\n\t<li><code>[1, 2, 3, 4]</code></li>\n\t<li><code>[2, 3, 4, 5]</code></li>\n\t<li><code>[3, 4, 5, 6]</code></li>\n\t<li><code>[4, 5, 6, 7]</code></li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 3</strong></p>\n\n<div class=\"example-block\">\n<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>\n\n<p><strong>输出：</strong><span class=\"example-io\">0</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>没有可行的数组。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><b>提示：</b></p>\n\n<ul>\n\t<li><code>2 &lt;= n == original.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= original[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>bounds.length == n</code></li>\n\t<li><code>bounds[i].length == 2</code></li>\n\t<li><code>1 &lt;= bounds[i][0] &lt;= bounds[i][1] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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