{ "data": { "question": { "questionId": "218", "questionFrontendId": "218", "categoryTitle": "Algorithms", "boundTopicId": 1899, "title": "The Skyline Problem", "titleSlug": "the-skyline-problem", "content": "

A city's skyline is the outer contour of the silhouette formed by all the buildings in that city when viewed from a distance. Given the locations and heights of all the buildings, return the skyline formed by these buildings collectively.

\n\n

The geometric information of each building is given in the array buildings where buildings[i] = [lefti, righti, heighti]:

\n\n\n\n

You may assume all buildings are perfect rectangles grounded on an absolutely flat surface at height 0.

\n\n

The skyline should be represented as a list of "key points" sorted by their x-coordinate in the form [[x1,y1],[x2,y2],...]. Each key point is the left endpoint of some horizontal segment in the skyline except the last point in the list, which always has a y-coordinate 0 and is used to mark the skyline's termination where the rightmost building ends. Any ground between the leftmost and rightmost buildings should be part of the skyline's contour.

\n\n

Note: There must be no consecutive horizontal lines of equal height in the output skyline. For instance, [...,[2 3],[4 5],[7 5],[11 5],[12 7],...] is not acceptable; the three lines of height 5 should be merged into one in the final output as such: [...,[2 3],[4 5],[12 7],...]

\n\n

 

\n

Example 1:

\n\"\"\n
\nInput: buildings = [[2,9,10],[3,7,15],[5,12,12],[15,20,10],[19,24,8]]\nOutput: [[2,10],[3,15],[7,12],[12,0],[15,10],[20,8],[24,0]]\nExplanation:\nFigure A shows the buildings of the input.\nFigure B shows the skyline formed by those buildings. The red points in figure B represent the key points in the output list.\n
\n\n

Example 2:

\n\n
\nInput: buildings = [[0,2,3],[2,5,3]]\nOutput: [[0,3],[5,0]]\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "天际线问题", "translatedContent": "

城市的 天际线 是从远处观看该城市中所有建筑物形成的轮廓的外部轮廓。给你所有建筑物的位置和高度,请返回 由这些建筑物形成的 天际线

\n\n

每个建筑物的几何信息由数组 buildings 表示,其中三元组 buildings[i] = [lefti, righti, heighti] 表示:

\n\n\n\n

你可以假设所有的建筑都是完美的长方形,在高度为 0 的绝对平坦的表面上。

\n\n

天际线 应该表示为由 “关键点” 组成的列表,格式 [[x1,y1],[x2,y2],...] ,并按 x 坐标 进行 排序关键点是水平线段的左端点。列表中最后一个点是最右侧建筑物的终点,y 坐标始终为 0 ,仅用于标记天际线的终点。此外,任何两个相邻建筑物之间的地面都应被视为天际线轮廓的一部分。

\n\n

注意:输出天际线中不得有连续的相同高度的水平线。例如 [...[2 3], [4 5], [7 5], [11 5], [12 7]...] 是不正确的答案;三条高度为 5 的线应该在最终输出中合并为一个:[...[2 3], [4 5], [12 7], ...]

\n\n

 

\n\n

示例 1:

\n\"\"\n
\n输入:buildings = [[2,9,10],[3,7,15],[5,12,12],[15,20,10],[19,24,8]]\n输出:[[2,10],[3,15],[7,12],[12,0],[15,10],[20,8],[24,0]]\n解释:\n图 A 显示输入的所有建筑物的位置和高度,\n图 B 显示由这些建筑物形成的天际线。图 B 中的红点表示输出列表中的关键点。
\n\n

示例 2:

\n\n
\n输入:buildings = [[0,2,3],[2,5,3]]\n输出:[[0,3],[5,0]]\n
\n\n

 

\n\n

提示:

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