{ "data": { "question": { "questionId": "3459", "questionFrontendId": "3197", "categoryTitle": "Algorithms", "boundTopicId": 2817391, "title": "Find the Minimum Area to Cover All Ones II", "titleSlug": "find-the-minimum-area-to-cover-all-ones-ii", "content": "

You are given a 2D binary array grid. You need to find 3 non-overlapping rectangles having non-zero areas with horizontal and vertical sides such that all the 1's in grid lie inside these rectangles.

\n\n

Return the minimum possible sum of the area of these rectangles.

\n\n

Note that the rectangles are allowed to touch.

\n\n

 

\n

Example 1:

\n\n
\n

Input: grid = [[1,0,1],[1,1,1]]

\n\n

Output: 5

\n\n

Explanation:

\n\n

\"\"

\n\n\n
\n\n

Example 2:

\n\n
\n

Input: grid = [[1,0,1,0],[0,1,0,1]]

\n\n

Output: 5

\n\n

Explanation:

\n\n

\"\"

\n\n\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "包含所有 1 的最小矩形面积 II", "translatedContent": "

给你一个二维 二进制 数组 grid。你需要找到 3 个 不重叠、面积 非零 、边在水平方向和竖直方向上的矩形,并且满足 grid 中所有的 1 都在这些矩形的内部。

\n\n

返回这些矩形面积之和的 最小 可能值。

\n\n

注意,这些矩形可以相接。

\n\n

 

\n\n

示例 1:

\n\n
\n

输入: grid = [[1,0,1],[1,1,1]]

\n\n

输出: 5

\n\n

解释:

\n\n

\"\"

\n\n\n
\n\n

示例 2:

\n\n
\n

输入: grid = [[1,0,1,0],[0,1,0,1]]

\n\n

输出: 5

\n\n

解释:

\n\n

\"\"

\n\n\n
\n\n

 

\n\n

提示:

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As the rectangles don’t overlap, one of the rectangles must either be vertically above or horizontally left to the other.", "To find the minimum area, check all possible vertical and horizontal splits.", "For 3 rectangles, extend the idea to first covering using one rectangle, and then try splitting leftover ones both horizontally and vertically." ], "solution": null, "status": null, "sampleTestCase": "[[1,0,1],[1,1,1]]", "metaData": "{\n \"name\": \"minimumSum\",\n \"params\": [\n {\n \"name\": \"grid\",\n \"type\": \"integer[][]\"\n }\n ],\n \"return\": {\n \"type\": \"integer\"\n }\n}", "judgerAvailable": true, "judgeType": "large", "mysqlSchemas": [], "enableRunCode": true, "envInfo": "{\"cpp\":[\"C++\",\"

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