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49 lines
2.3 KiB
HTML
49 lines
2.3 KiB
HTML
<p>You are given a 2D integer array <code>squares</code>. Each <code>squares[i] = [x<sub>i</sub>, y<sub>i</sub>, l<sub>i</sub>]</code> represents the coordinates of the bottom-left point and the side length of a square parallel to the x-axis.</p>
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<p>Find the <strong>minimum</strong> y-coordinate value of a horizontal line such that the total area covered by squares above the line <em>equals</em> the total area covered by squares below the line.</p>
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<p>Answers within <code>10<sup>-5</sup></code> of the actual answer will be accepted.</p>
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<p><strong>Note</strong>: Squares <strong>may</strong> overlap. Overlapping areas should be counted <strong>only once</strong> in this version.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<div class="example-block">
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<p><strong>Input:</strong> <span class="example-io">squares = [[0,0,1],[2,2,1]]</span></p>
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<p><strong>Output:</strong> <span class="example-io">1.00000</span></p>
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<p><strong>Explanation:</strong></p>
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<p><img alt="" src="https://assets.leetcode.com/uploads/2025/01/15/4065example1drawio.png" style="width: 269px; height: 203px;" /></p>
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<p>Any horizontal line between <code>y = 1</code> and <code>y = 2</code> results in an equal split, with 1 square unit above and 1 square unit below. The minimum y-value is 1.</p>
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</div>
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<p><strong class="example">Example 2:</strong></p>
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<div class="example-block">
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<p><strong>Input:</strong> <span class="example-io">squares = [[0,0,2],[1,1,1]]</span></p>
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<p><strong>Output:</strong> <span class="example-io">1.00000</span></p>
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<p><strong>Explanation:</strong></p>
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<p><img alt="" src="https://assets.leetcode.com/uploads/2025/01/15/4065example2drawio.png" style="width: 269px; height: 203px;" /></p>
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<p>Since the blue square overlaps with the red square, it will not be counted again. Thus, the line <code>y = 1</code> splits the squares into two equal parts.</p>
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</div>
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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 <= squares.length <= 5 * 10<sup>4</sup></code></li>
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<li><code>squares[i] = [x<sub>i</sub>, y<sub>i</sub>, l<sub>i</sub>]</code></li>
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<li><code>squares[i].length == 3</code></li>
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<li><code>0 <= x<sub>i</sub>, y<sub>i</sub> <= 10<sup>9</sup></code></li>
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<li><code>1 <= l<sub>i</sub> <= 10<sup>9</sup></code></li>
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<li>The total area of all the squares will not exceed <code>10<sup>15</sup></code>.</li>
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</ul>
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