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54 lines
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54 lines
3.0 KiB
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<p data-end="189" data-start="146">给你一个二维整数数组 <code>points</code>，其中 <code>points[i] = [x<sub>i</sub>, y<sub>i</sub>]</code> 表示第 <code>i</code> 个点在笛卡尔平面上的坐标。</p>
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<p data-end="579" data-start="405"><strong>水平梯形</strong> 是一种凸四边形，具有 <strong data-end="496" data-start="475">至少一对 </strong>水平边（即平行于 x 轴的边）。两条直线平行当且仅当它们的斜率相同。</p>
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<p data-end="579" data-start="405">返回可以从 <code>points</code> 中任意选择四个不同点组成的 <strong>水平梯形 </strong>数量。</p>
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<p>由于答案可能非常大，请返回结果对 <code>10<sup>9</sup> + 7</code> 取余数后的值。</p>
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<p> </p>
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<p><strong class="example">示例 1：</strong></p>
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<div class="example-block">
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<p><strong>输入：</strong> <span class="example-io">points = [[1,0],[2,0],[3,0],[2,2],[3,2]]</span></p>
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<p><strong>输出：</strong> <span class="example-io">3</span></p>
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<p><strong>解释：</strong></p>
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<p><img alt="" src="https://assets.leetcode.com/uploads/2025/05/01/desmos-graph-6.png" style="width: 250px; height: 250px;" /> <img alt="" src="https://assets.leetcode.com/uploads/2025/05/01/desmos-graph-7.png" style="width: 250px; height: 250px;" /> <img alt="" src="https://assets.leetcode.com/uploads/2025/05/01/desmos-graph-8.png" style="width: 250px; height: 250px;" /></p>
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<p>有三种不同方式选择四个点组成一个水平梯形：</p>
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<ul>
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<li data-end="247" data-start="193">使用点 <code data-end="213" data-start="206">[1,0]</code>、<code data-end="222" data-start="215">[2,0]</code>、<code data-end="231" data-start="224">[3,2]</code> 和 <code data-end="244" data-start="237">[2,2]</code>。</li>
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<li data-end="305" data-start="251">使用点 <code data-end="271" data-start="264">[2,0]</code>、<code data-end="280" data-start="273">[3,0]</code>、<code data-end="289" data-start="282">[3,2]</code> 和 <code data-end="302" data-start="295">[2,2]</code>。</li>
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<li data-end="361" data-start="309">使用点 <code data-end="329" data-start="322">[1,0]</code>、<code data-end="338" data-start="331">[3,0]</code>、<code data-end="347" data-start="340">[3,2]</code> 和 <code data-end="360" data-start="353">[2,2]</code>。</li>
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</ul>
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</div>
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<p><strong class="example">示例 2：</strong></p>
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<div class="example-block">
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<p><strong>输入：</strong> <span class="example-io">points = [[0,0],[1,0],[0,1],[2,1]]</span></p>
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<p><strong>输出：</strong> <span class="example-io">1</span></p>
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<p><strong>解释：</strong></p>
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<p><img alt="" src="https://assets.leetcode.com/uploads/2025/04/29/desmos-graph-5.png" style="width: 250px; height: 250px;" /></p>
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<p>只有一种方式可以组成一个水平梯形。</p>
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</div>
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<p> </p>
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<p><strong>提示：</strong></p>
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<ul>
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<li><code>4 <= points.length <= 10<sup>5</sup></code></li>
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<li><code>–10<sup>8</sup> <= x<sub>i</sub>, y<sub>i</sub> <= 10<sup>8</sup></code></li>
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<li>所有点两两不同。</li>
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</ul>
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