leetcode-problemset/leetcode-cn/originData/ways-to-split-array-into-three-subarrays.json

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            "questionId": "1831",
            "questionFrontendId": "1712",
            "categoryTitle": "Algorithms",
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            "title": "Ways to Split Array Into Three Subarrays",
            "titleSlug": "ways-to-split-array-into-three-subarrays",
            "content": "<p>A split of an integer array is <strong>good</strong> if:</p>\r\n\r\n<ul>\r\n\t<li>The array is split into three <strong>non-empty</strong> contiguous subarrays - named <code>left</code>, <code>mid</code>, <code>right</code> respectively from left to right.</li>\r\n\t<li>The sum of the elements in <code>left</code> is less than or equal to the sum of the elements in <code>mid</code>, and the sum of the elements in <code>mid</code> is less than or equal to the sum of the elements in <code>right</code>.</li>\r\n</ul>\r\n\r\n<p>Given <code>nums</code>, an array of <strong>non-negative</strong> integers, return <em>the number of <strong>good</strong> ways to split</em> <code>nums</code>. As the number may be too large, return it <strong>modulo</strong> <code>10<sup>9 </sup>+ 7</code>.</p>\r\n\r\n<p>&nbsp;</p>\r\n<p><strong>Example 1:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> nums = [1,1,1]\r\n<strong>Output:</strong> 1\r\n<strong>Explanation:</strong> The only good way to split nums is [1] [1] [1].</pre>\r\n\r\n<p><strong>Example 2:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> nums = [1,2,2,2,5,0]\r\n<strong>Output:</strong> 3\r\n<strong>Explanation:</strong> There are three good ways of splitting nums:\r\n[1] [2] [2,2,5,0]\r\n[1] [2,2] [2,5,0]\r\n[1,2] [2,2] [5,0]\r\n</pre>\r\n\r\n<p><strong>Example 3:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> nums = [3,2,1]\r\n<strong>Output:</strong> 0\r\n<strong>Explanation:</strong> There is no good way to split nums.</pre>\r\n\r\n<p>&nbsp;</p>\r\n<p><strong>Constraints:</strong></p>\r\n\r\n<ul>\r\n\t<li><code>3 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\r\n\t<li><code>0 &lt;= nums[i] &lt;= 10<sup>4</sup></code></li>\r\n</ul>",
            "translatedTitle": "将数组分成三个子数组的方案数",
            "translatedContent": "<p>我们称一个分割整数数组的方案是 <strong>好的</strong> ，当它满足：</p>\n\n<ul>\n\t<li>数组被分成三个 <strong>非空</strong> 连续子数组，从左至右分别命名为 <code>left</code> ， <code>mid</code> ， <code>right</code> 。</li>\n\t<li><code>left</code> 中元素和小于等于 <code>mid</code> 中元素和，<code>mid</code> 中元素和小于等于 <code>right</code> 中元素和。</li>\n</ul>\n\n<p>给你一个 <strong>非负</strong> 整数数组 <code>nums</code> ，请你返回 <strong>好的</strong> 分割 <code>nums</code> 方案数目。由于答案可能会很大，请你将结果对 <code>10<sup>9 </sup>+ 7</code> 取余后返回。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<b>输入：</b>nums = [1,1,1]\n<b>输出：</b>1\n<b>解释：</b>唯一一种好的分割方案是将 nums 分成 [1] [1] [1] 。</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>nums = [1,2,2,2,5,0]\n<b>输出：</b>3\n<b>解释：</b>nums 总共有 3 种好的分割方案：\n[1] [2] [2,2,5,0]\n[1] [2,2] [2,5,0]\n[1,2] [2,2] [5,0]\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<b>输入：</b>nums = [3,2,1]\n<b>输出：</b>0\n<b>解释：</b>没有好的分割方案。</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>3 <= nums.length <= 10<sup>5</sup></code></li>\n\t<li><code>0 <= nums[i] <= 10<sup>4</sup></code></li>\n</ul>\n",
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                "Create a prefix array to efficiently find the sum of subarrays.",
                "As we are dividing the array into three subarrays, there are two \"walls\". Iterate over the right wall positions and find where the left wall could be for each right wall position.",
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