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"categoryTitle": "Algorithms",
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"title": "Count the Number of Incremovable Subarrays I",
"titleSlug": "count-the-number-of-incremovable-subarrays-i",
"content": "<p>You are given a <strong>0-indexed</strong> array of <strong>positive</strong> integers <code>nums</code>.</p>\n\n<p>A subarray of <code>nums</code> is called <strong>incremovable</strong> if <code>nums</code> becomes <strong>strictly increasing</strong> on removing the subarray. For example, the subarray <code>[3, 4]</code> is an incremovable subarray of <code>[5, 3, 4, 6, 7]</code> because removing this subarray changes the array <code>[5, 3, 4, 6, 7]</code> to <code>[5, 6, 7]</code> which is strictly increasing.</p>\n\n<p>Return <em>the total number of <strong>incremovable</strong> subarrays of</em> <code>nums</code>.</p>\n\n<p><strong>Note</strong> that an empty array is considered strictly increasing.</p>\n\n<p>A <strong>subarray</strong> is a contiguous non-empty sequence of elements within an array.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3,4]\n<strong>Output:</strong> 10\n<strong>Explanation:</strong> The 10 incremovable subarrays are: [1], [2], [3], [4], [1,2], [2,3], [3,4], [1,2,3], [2,3,4], and [1,2,3,4], because on removing any one of these subarrays nums becomes strictly increasing. Note that you cannot select an empty subarray.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [6,5,7,8]\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> The 7 incremovable subarrays are: [5], [6], [5,7], [6,5], [5,7,8], [6,5,7] and [6,5,7,8].\nIt can be shown that there are only 7 incremovable subarrays in nums.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [8,7,6,6]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The 3 incremovable subarrays are: [8,7,6], [7,6,6], and [8,7,6,6]. Note that [8,7] is not an incremovable subarray because after removing [8,7] nums becomes [6,6], which is sorted in ascending order but not strictly increasing.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 50</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 50</code></li>\n</ul>\n",
"translatedTitle": "统计移除递增子数组的数目 I",
"translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始的 <b>正</b>&nbsp;整数数组&nbsp;<code>nums</code>&nbsp;。</p>\n\n<p>如果 <code>nums</code>&nbsp;的一个子数组满足:移除这个子数组后剩余元素 <strong>严格递增</strong>&nbsp;,那么我们称这个子数组为 <strong>移除递增</strong>&nbsp;子数组。比方说,<code>[5, 3, 4, 6, 7]</code>&nbsp;中的 <code>[3, 4]</code>&nbsp;是一个移除递增子数组,因为移除该子数组后,<code>[5, 3, 4, 6, 7]</code>&nbsp;变为&nbsp;<code>[5, 6, 7]</code>&nbsp;,是严格递增的。</p>\n\n<p>请你返回 <code>nums</code>&nbsp;中 <b>移除递增</b>&nbsp;子数组的总数目。</p>\n\n<p><b>注意</b>&nbsp;,剩余元素为空的数组也视为是递增的。</p>\n\n<p><strong>子数组</strong> 指的是一个数组中一段连续的元素序列。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<pre>\n<b>输入:</b>nums = [1,2,3,4]\n<b>输出:</b>10\n<b>解释:</b>10 个移除递增子数组分别为:[1], [2], [3], [4], [1,2], [2,3], [3,4], [1,2,3], [2,3,4] 和 [1,2,3,4]。移除任意一个子数组后,剩余元素都是递增的。注意,空数组不是移除递增子数组。\n</pre>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<pre>\n<b>输入:</b>nums = [6,5,7,8]\n<b>输出:</b>7\n<b>解释:</b>7<strong>&nbsp;</strong>个移除递增子数组分别为:[5], [6], [5,7], [6,5], [5,7,8], [6,5,7] 和 [6,5,7,8] 。\nnums 中只有这 7 个移除递增子数组。\n</pre>\n\n<p><strong class=\"example\">示例 3</strong></p>\n\n<pre>\n<b>输入:</b>nums = [8,7,6,6]\n<b>输出:</b>3\n<b>解释:</b>3 个移除递增子数组分别为:[8,7,6], [7,6,6] 和 [8,7,6,6] 。注意 [8,7] 不是移除递增子数组因为移除 [8,7] 后 nums 变为 [6,6] ,它不是严格递增的。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 50</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 50</code></li>\n</ul>\n",
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