mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-11 02:58:13 +08:00
199 lines
19 KiB
JSON
199 lines
19 KiB
JSON
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"questionFrontendId": "LCP 37",
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"categoryTitle": "Algorithms",
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"title": "最小矩形面积",
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"content": "English description is not available for the problem. Please switch to Chinese.",
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"translatedTitle": "最小矩形面积",
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"translatedContent": "二维平面上有 $N$ 条直线，形式为 `y = kx + b`，其中 `k`、`b`为整数 且 `k > 0`。所有直线以 `[k,b]` 的形式存于二维数组 `lines` 中，不存在重合的两条直线。两两直线之间可能存在一个交点，最多会有 $C_N^2$ 个交点。我们用一个平行于坐标轴的矩形覆盖所有的交点，请问这个矩形最小面积是多少。若直线之间无交点、仅有一个交点或所有交点均在同一条平行坐标轴的直线上，则返回0。\n\n注意：返回结果是浮点数，与标准答案 **绝对误差或相对误差** 在 10^-4 以内的结果都被视为正确结果\n\n\n**示例 1：**\n> 输入：`lines = [[2,3],[3,0],[4,1]]`\n>\n> 输出：`48.00000`\n>\n> 解释：三条直线的三个交点为 (3, 9) (1, 5) 和 (-1, -3)。最小覆盖矩形左下角为 (-1, -3) 右上角为 (3,9)，面积为 48\n\n\n**示例 2：**\n> 输入：`lines = [[1,1],[2,3]]`\n>\n> 输出：`0.00000`\n>\n> 解释：仅有一个交点 (-2，-1）\n\n\n**限制：**\n+ `1 <= lines.length <= 10^5 且 lines[i].length == 2`\n+ `1 <= lines[0] <= 10000`\n+ `-10000 <= lines[1] <= 10000`\n+ `与标准答案绝对误差或相对误差在 10^-4 以内的结果都被视为正确结果`",
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