mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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163 lines
15 KiB
JSON
163 lines
15 KiB
JSON
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"questionId": "1831",
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"title": "Ways to Split Array Into Three Subarrays",
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"titleSlug": "ways-to-split-array-into-three-subarrays",
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"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> </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> </p>\r\n<p><strong>Constraints:</strong></p>\r\n\r\n<ul>\r\n\t<li><code>3 <= nums.length <= 10<sup>5</sup></code></li>\r\n\t<li><code>0 <= nums[i] <= 10<sup>4</sup></code></li>\r\n</ul>",
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"difficulty": "Medium",
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"exampleTestcases": "[1,1,1]\n[1,2,2,2,5,0]\n[3,2,1]",
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"categoryTitle": "Algorithms",
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"name": "Array",
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"name": "Prefix Sum",
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"hints": [
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"Create a prefix array to efficiently find the sum of subarrays.",
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"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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"Use binary search to find the left-most position and right-most position the left wall could be."
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],
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