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34 lines
1.8 KiB
HTML
34 lines
1.8 KiB
HTML
<p>You are given a 2D array of axis-aligned <code>rectangles</code>. Each <code>rectangle[i] = [x<sub>i1</sub>, y<sub>i1</sub>, x<sub>i2</sub>, y<sub>i2</sub>]</code> denotes the <code>i<sup>th</sup></code> rectangle where <code>(x<sub>i1</sub>, y<sub>i1</sub>)</code> are the coordinates of the <strong>bottom-left corner</strong>, and <code>(x<sub>i2</sub>, y<sub>i2</sub>)</code> are the coordinates of the <strong>top-right corner</strong>.</p>
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<p>Calculate the <strong>total area</strong> covered by all <code>rectangles</code> in the plane. Any area covered by two or more rectangles should only be counted <strong>once</strong>.</p>
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<p>Return <em>the <strong>total area</strong></em>. Since the answer may be too large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<img alt="" src="https://s3-lc-upload.s3.amazonaws.com/uploads/2018/06/06/rectangle_area_ii_pic.png" style="width: 600px; height: 450px;" />
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<pre>
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<strong>Input:</strong> rectangles = [[0,0,2,2],[1,0,2,3],[1,0,3,1]]
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<strong>Output:</strong> 6
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<strong>Explanation: </strong>A total area of 6 is covered by all three rectangales, as illustrated in the picture.
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From (1,1) to (2,2), the green and red rectangles overlap.
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From (1,0) to (2,3), all three rectangles overlap.
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</pre>
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<p><strong>Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> rectangles = [[0,0,1000000000,1000000000]]
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<strong>Output:</strong> 49
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<strong>Explanation: </strong>The answer is 10<sup>18</sup> modulo (10<sup>9</sup> + 7), which is 49.
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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 <= rectangles.length <= 200</code></li>
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<li><code>rectanges[i].length == 4</code></li>
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<li><code>0 <= x<sub>i1</sub>, y<sub>i1</sub>, x<sub>i2</sub>, y<sub>i2</sub> <= 10<sup>9</sup></code></li>
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</ul>
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