{ "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.
Return the minimum possible sum of the area of these rectangles.
\n\nNote that the rectangles are allowed to touch.
\n\n\n
Example 1:
\n\nInput: grid = [[1,0,1],[1,1,1]]
\n\nOutput: 5
\n\nExplanation:
\n\n(0, 0)
and (1, 0)
are covered by a rectangle of area 2.(0, 2)
and (1, 2)
are covered by a rectangle of area 2.(1, 1)
is covered by a rectangle of area 1.Example 2:
\n\nInput: grid = [[1,0,1,0],[0,1,0,1]]
\n\nOutput: 5
\n\nExplanation:
\n\n(0, 0)
and (0, 2)
are covered by a rectangle of area 3.(1, 1)
is covered by a rectangle of area 1.(1, 3)
is covered by a rectangle of area 1.\n
Constraints:
\n\n1 <= grid.length, grid[i].length <= 30
grid[i][j]
is either 0 or 1.grid
.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。
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输入: grid = [[1,0,1],[1,1,1]]
\n\n输出: 5
\n\n解释:
\n\n(0, 0)
和 (1, 0)
的 1 被一个面积为 2 的矩形覆盖。(0, 2)
和 (1, 2)
的 1 被一个面积为 2 的矩形覆盖。(1, 1)
的 1 被一个面积为 1 的矩形覆盖。示例 2:
\n\n输入: grid = [[1,0,1,0],[0,1,0,1]]
\n\n输出: 5
\n\n解释:
\n\n(0, 0)
和 (0, 2)
的 1 被一个面积为 3 的矩形覆盖。(1, 1)
的 1 被一个面积为 1 的矩形覆盖。(1, 3)
的 1 被一个面积为 1 的矩形覆盖。\n\n
提示:
\n\n1 <= grid.length, grid[i].length <= 30
grid[i][j]
是 0 或 1。grid
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