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38 lines
1.9 KiB
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38 lines
1.9 KiB
HTML
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<p>Given an array <code>rectangles</code> where <code>rectangles[i] = [x<sub>i</sub>, y<sub>i</sub>, a<sub>i</sub>, b<sub>i</sub>]</code> represents an axis-aligned rectangle. The bottom-left point of the rectangle is <code>(x<sub>i</sub>, y<sub>i</sub>)</code> and the top-right point of it is <code>(a<sub>i</sub>, b<sub>i</sub>)</code>.</p>
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<p>Return <code>true</code> <em>if all the rectangles together form an exact cover of a rectangular region</em>.</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://assets.leetcode.com/uploads/2021/03/27/perectrec1-plane.jpg" style="width: 300px; height: 294px;" />
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<pre>
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<strong>Input:</strong> rectangles = [[1,1,3,3],[3,1,4,2],[3,2,4,4],[1,3,2,4],[2,3,3,4]]
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<strong>Output:</strong> true
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<strong>Explanation:</strong> All 5 rectangles together form an exact cover of a rectangular region.
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</pre>
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<p><strong>Example 2:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2021/03/27/perfectrec2-plane.jpg" style="width: 300px; height: 294px;" />
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<pre>
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<strong>Input:</strong> rectangles = [[1,1,2,3],[1,3,2,4],[3,1,4,2],[3,2,4,4]]
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<strong>Output:</strong> false
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<strong>Explanation:</strong> Because there is a gap between the two rectangular regions.
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</pre>
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<p><strong>Example 3:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2021/03/27/perfecrrec4-plane.jpg" style="width: 300px; height: 294px;" />
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<pre>
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<strong>Input:</strong> rectangles = [[1,1,3,3],[3,1,4,2],[1,3,2,4],[2,2,4,4]]
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<strong>Output:</strong> false
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<strong>Explanation:</strong> Because two of the rectangles overlap with each other.
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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 <= 2 * 10<sup>4</sup></code></li>
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<li><code>rectangles[i].length == 4</code></li>
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<li><code>-10<sup>5</sup> <= x<sub>i</sub>, y<sub>i</sub>, a<sub>i</sub>, b<sub>i</sub> <= 10<sup>5</sup></code></li>
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</ul>
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