leetcode-problemset/leetcode-cn/originData/find-the-count-of-monotonic-pairs-ii.json

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            "title": "Find the Count of Monotonic Pairs II",
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            "content": "<p>You are given an array of <strong>positive</strong> integers <code>nums</code> of length <code>n</code>.</p>\n\n<p>We call a pair of <strong>non-negative</strong> integer arrays <code>(arr1, arr2)</code> <strong>monotonic</strong> if:</p>\n\n<ul>\n\t<li>The lengths of both arrays are <code>n</code>.</li>\n\t<li><code>arr1</code> is monotonically <strong>non-decreasing</strong>, in other words, <code>arr1[0] &lt;= arr1[1] &lt;= ... &lt;= arr1[n - 1]</code>.</li>\n\t<li><code>arr2</code> is monotonically <strong>non-increasing</strong>, in other words, <code>arr2[0] &gt;= arr2[1] &gt;= ... &gt;= arr2[n - 1]</code>.</li>\n\t<li><code>arr1[i] + arr2[i] == nums[i]</code> for all <code>0 &lt;= i &lt;= n - 1</code>.</li>\n</ul>\n\n<p>Return the count of <strong>monotonic</strong> pairs.</p>\n\n<p>Since the answer may be very large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</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\">nums = [2,3,2]</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 good pairs are:</p>\n\n<ol>\n\t<li><code>([0, 1, 1], [2, 2, 1])</code></li>\n\t<li><code>([0, 1, 2], [2, 2, 0])</code></li>\n\t<li><code>([0, 2, 2], [2, 1, 0])</code></li>\n\t<li><code>([1, 2, 2], [1, 1, 0])</code></li>\n</ol>\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\">nums = [5,5,5,5]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">126</span></p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n == nums.length &lt;= 2000</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 1000</code></li>\n</ul>\n",
            "translatedTitle": "单调数组对的数目 II",
            "translatedContent": "<p>给你一个长度为&nbsp;<code>n</code>&nbsp;的&nbsp;<strong>正</strong>&nbsp;整数数组&nbsp;<code>nums</code>&nbsp;。</p>\n\n<p>如果两个&nbsp;<strong>非负</strong>&nbsp;整数数组&nbsp;<code>(arr1, arr2)</code>&nbsp;满足以下条件，我们称它们是&nbsp;<strong>单调</strong>&nbsp;数组对：</p>\n\n<ul>\n\t<li>两个数组的长度都是&nbsp;<code>n</code>&nbsp;。</li>\n\t<li><code>arr1</code>&nbsp;是单调<strong>&nbsp;非递减</strong>&nbsp;的，换句话说&nbsp;<code>arr1[0] &lt;= arr1[1] &lt;= ... &lt;= arr1[n - 1]</code>&nbsp;。</li>\n\t<li><code>arr2</code>&nbsp;是单调 <strong>非递增</strong>&nbsp;的，换句话说&nbsp;<code>arr2[0] &gt;= arr2[1] &gt;= ... &gt;= arr2[n - 1]</code>&nbsp;。</li>\n\t<li>对于所有的&nbsp;<code>0 &lt;= i &lt;= n - 1</code>&nbsp;都有&nbsp;<code>arr1[i] + arr2[i] == nums[i]</code>&nbsp;。</li>\n</ul>\n\n<p>请你返回所有 <strong>单调</strong>&nbsp;数组对的数目。</p>\n\n<p>由于答案可能很大，请你将它对&nbsp;<code>10<sup>9</sup> + 7</code>&nbsp;<strong>取余</strong>&nbsp;后返回。</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><span class=\"example-io\"><b>输入：</b>nums = [2,3,2]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>4</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>单调数组对包括：</p>\n\n<ol>\n\t<li><code>([0, 1, 1], [2, 2, 1])</code></li>\n\t<li><code>([0, 1, 2], [2, 2, 0])</code></li>\n\t<li><code>([0, 2, 2], [2, 1, 0])</code></li>\n\t<li><code>([1, 2, 2], [1, 1, 0])</code></li>\n</ol>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>nums = [5,5,5,5]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>126</span></p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n == nums.length &lt;= 2000</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 1000</code></li>\n</ul>\n",
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