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44 lines
2.9 KiB
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<p>A city's <strong>skyline</strong> 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 <em>the <strong>skyline</strong> formed by these buildings collectively</em>.</p>
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<p>The geometric information of each building is given in the array <code>buildings</code> where <code>buildings[i] = [left<sub>i</sub>, right<sub>i</sub>, height<sub>i</sub>]</code>:</p>
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<ul>
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<li><code>left<sub>i</sub></code> is the x coordinate of the left edge of the <code>i<sup>th</sup></code> building.</li>
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<li><code>right<sub>i</sub></code> is the x coordinate of the right edge of the <code>i<sup>th</sup></code> building.</li>
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<li><code>height<sub>i</sub></code> is the height of the <code>i<sup>th</sup></code> building.</li>
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</ul>
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<p>You may assume all buildings are perfect rectangles grounded on an absolutely flat surface at height <code>0</code>.</p>
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<p>The <strong>skyline</strong> should be represented as a list of "key points" <strong>sorted by their x-coordinate</strong> in the form <code>[[x<sub>1</sub>,y<sub>1</sub>],[x<sub>2</sub>,y<sub>2</sub>],...]</code>. 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 <code>0</code> 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.</p>
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<p><b>Note:</b> There must be no consecutive horizontal lines of equal height in the output skyline. For instance, <code>[...,[2 3],[4 5],[7 5],[11 5],[12 7],...]</code> is not acceptable; the three lines of height 5 should be merged into one in the final output as such: <code>[...,[2 3],[4 5],[12 7],...]</code></p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2020/12/01/merged.jpg" style="width: 800px; height: 331px;" />
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<pre>
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<strong>Input:</strong> buildings = [[2,9,10],[3,7,15],[5,12,12],[15,20,10],[19,24,8]]
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<strong>Output:</strong> [[2,10],[3,15],[7,12],[12,0],[15,10],[20,8],[24,0]]
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<strong>Explanation:</strong>
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Figure A shows the buildings of the input.
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Figure B shows the skyline formed by those buildings. The red points in figure B represent the key points in the output list.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> buildings = [[0,2,3],[2,5,3]]
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<strong>Output:</strong> [[0,3],[5,0]]
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>1 <= buildings.length <= 10<sup>4</sup></code></li>
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<li><code>0 <= left<sub>i</sub> < right<sub>i</sub> <= 2<sup>31</sup> - 1</code></li>
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<li><code>1 <= height<sub>i</sub> <= 2<sup>31</sup> - 1</code></li>
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<li><code>buildings</code> is sorted by <code>left<sub>i</sub></code> in non-decreasing order.</li>
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</ul>
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