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leetcode-problemset/leetcode-cn/problem (Chinese)/三维形体投影面积 [projection-area-of-3d-shapes].html

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2022-03-27 20:46:41 +08:00
<p><meta charset="UTF-8" />&nbsp;<code>n x n</code>&nbsp;的网格<meta charset="UTF-8" />&nbsp;<code>grid</code>&nbsp;中,我们放置了一些与 xyz 三轴对齐的<meta charset="UTF-8" />&nbsp;<code>1 x 1 x 1</code>&nbsp;立方体。</p>
<p>每个值&nbsp;<code>v = grid[i][j]</code>&nbsp;表示 <code>v</code>&nbsp;个正方体叠放在单元格&nbsp;<code>(i, j)</code>&nbsp;上。</p>
<p>现在,我们查看这些立方体在 <code>xy</code>&nbsp;<code>yz</code>&nbsp;<code>zx</code>&nbsp;平面上的<em>投影</em></p>
<p><strong>投影</strong>&nbsp;就像影子,将 <strong>三维</strong> 形体映射到一个 <strong>二维</strong> 平面上。从顶部、前面和侧面看立方体时,我们会看到“影子”。</p>
<p>返回 <em>所有三个投影的总面积</em></p>
<p>&nbsp;</p>
<ul>
</ul>
<ul>
</ul>
<ul>
</ul>
<ul>
</ul>
<p><strong>示例 1</strong></p>
<p><img alt="" src="https://s3-lc-upload.s3.amazonaws.com/uploads/2018/08/02/shadow.png" style="height: 214px; width: 800px;" /></p>
<pre>
<strong>输入:</strong>[[1,2],[3,4]]
<strong>输出:</strong>17
<strong>解释:</strong>这里有该形体在三个轴对齐平面上的三个投影(“阴影部分”)。
</pre>
<p><strong>示例&nbsp;2:</strong></p>
<pre>
<strong>输入:</strong>grid = [[2]]
<strong>输出:</strong>5
</pre>
<p><strong>示例 3</strong></p>
<pre>
<strong>输入:</strong>[[1,0],[0,2]]
<strong>输出:</strong>8
</pre>
<p>&nbsp;</p>
<p><strong>提示:</strong></p>
<ul>
<li><code>n == grid.length == grid[i].length</code></li>
<li><code>1 &lt;= n &lt;= 50</code></li>
<li><code>0 &lt;= grid[i][j] &lt;= 50</code></li>
</ul>