leetcode-problemset/leetcode-cn/originData/find-maximum-non-decreasing-array-length.json

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            "title": "Find Maximum Non-decreasing Array Length",
            "titleSlug": "find-maximum-non-decreasing-array-length",
            "content": "<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code>.</p>\n\n<p>You can perform any number of operations, where each operation involves selecting a <strong>subarray</strong> of the array and replacing it with the <strong>sum</strong> of its elements. For example, if the given array is <code>[1,3,5,6]</code> and you select subarray <code>[3,5]</code> the array will convert to <code>[1,8,6]</code>.</p>\n\n<p>Return <em>the </em><strong><em>maximum</em></strong><em> length of a </em><strong><em>non-decreasing</em></strong><em> array that can be made after applying operations.</em></p>\n\n<p>A <strong>subarray</strong> is a contiguous <strong>non-empty</strong> sequence of elements within an array.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [5,2,2]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> This array with length 3 is not non-decreasing.\nWe have two ways to make the array length two.\nFirst, choosing subarray [2,2] converts the array to [5,4].\nSecond, choosing subarray [5,2] converts the array to [7,2].\nIn these two ways the array is not non-decreasing.\nAnd if we choose subarray [5,2,2] and replace it with [9] it becomes non-decreasing. \nSo the answer is 1.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3,4]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> The array is non-decreasing. So the answer is 4.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [4,3,2,6]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> Replacing [3,2] with [5] converts the given array to [4,5,6] that is non-decreasing.\nBecause the given array is not non-decreasing, the maximum<!-- notionvc: 3447a505-d1ee-4411-8cae-e52162f53a55 --> possible answer is 3.</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "找到最大非递减数组的长度",
            "translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始的整数数组&nbsp;<code>nums</code>&nbsp;。</p>\n\n<p>你可以执行任意次操作。每次操作中，你需要选择一个 <strong>子数组</strong>&nbsp;，并将这个子数组用它所包含元素的 <strong>和</strong>&nbsp;替换。比方说，给定数组是&nbsp;<code>[1,3,5,6]</code>&nbsp;，你可以选择子数组&nbsp;<code>[3,5]</code>&nbsp;，用子数组的和 <code>8</code>&nbsp;替换掉子数组，然后数组会变为&nbsp;<code>[1,8,6]</code>&nbsp;。</p>\n\n<p>请你返回执行任意次操作以后，可以得到的 <strong>最长非递减</strong>&nbsp;数组的长度。</p>\n\n<p><strong>子数组</strong>&nbsp;指的是一个数组中一段连续 <strong>非空</strong>&nbsp;的元素序列。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<b>输入：</b>nums = [5,2,2]\n<b>输出：</b>1\n<strong>解释：</strong>这个长度为 3 的数组不是非递减的。\n我们有 2 种方案使数组长度为 2 。\n第一种，选择子数组 [2,2] ，对数组执行操作后得到 [5,4] 。\n第二种，选择子数组 [5,2] ，对数组执行操作后得到 [7,2] 。\n这两种方案中，数组最后都不是 <strong>非递减</strong>&nbsp;的，所以不是可行的答案。\n如果我们选择子数组 [5,2,2] ，并将它替换为 [9] ，数组变成非递减的。\n所以答案为 1 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>nums = [1,2,3,4]\n<b>输出：</b>4\n<b>解释：</b>数组已经是非递减的。所以答案为 4 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<b>输入：</b>nums = [4,3,2,6]\n<b>输出：</b>3\n<b>解释：</b>将 [3,2] 替换为 [5] ，得到数组 [4,5,6] ，它是非递减的。\n最大可能的答案为 3 。</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;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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                "Let <code>dp[i]</code> be the maximum number of elements in the increasing sequence after processing the first <code>i</code> elements of the original array.",
                "We have <code>dp[0] = 0</code>. <code>dp[i + 1] >= dp[i]</code> (since if we have the solution for the first <code>i</code> elements, we can always merge the last one of the first <code>i + 1</code> elements which is <code>nums[i]</code> into the solution of the first <code>i</code> elements.",
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