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"categoryTitle": "Algorithms",
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"title": "Projection Area of 3D Shapes",
"titleSlug": "projection-area-of-3d-shapes",
"content": "<p>You are given an <code>n x n</code> <code>grid</code> where we place some <code>1 x 1 x 1</code> cubes that are axis-aligned with the <code>x</code>, <code>y</code>, and <code>z</code> axes.</p>\n\n<p>Each value <code>v = grid[i][j]</code> represents a tower of <code>v</code> cubes placed on top of the cell <code>(i, j)</code>.</p>\n\n<p>We view the projection of these cubes onto the <code>xy</code>, <code>yz</code>, and <code>zx</code> planes.</p>\n\n<p>A <strong>projection</strong> is like a shadow, that maps our <strong>3-dimensional</strong> figure to a <strong>2-dimensional</strong> plane. We are viewing the &quot;shadow&quot; when looking at the cubes from the top, the front, and the side.</p>\n\n<p>Return <em>the total area of all three projections</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://s3-lc-upload.s3.amazonaws.com/uploads/2018/08/02/shadow.png\" style=\"width: 800px; height: 214px;\" />\n<pre>\n<strong>Input:</strong> grid = [[1,2],[3,4]]\n<strong>Output:</strong> 17\n<strong>Explanation:</strong> Here are the three projections (&quot;shadows&quot;) of the shape made with each axis-aligned plane.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> grid = [[2]]\n<strong>Output:</strong> 5\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> grid = [[1,0],[0,2]]\n<strong>Output:</strong> 8\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == grid.length == grid[i].length</code></li>\n\t<li><code>1 &lt;= n &lt;= 50</code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt;= 50</code></li>\n</ul>\n",
"translatedTitle": "三维形体投影面积",
"translatedContent": "<p>在<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>\n\n<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>\n\n<p>现在,我们查看这些立方体在 <code>xy</code>&nbsp;、<code>yz</code>&nbsp;和 <code>zx</code>&nbsp;平面上的<em>投影</em>。</p>\n\n<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>\n\n<p>返回 <em>所有三个投影的总面积</em> 。</p>\n\n<p>&nbsp;</p>\n\n<ul>\n</ul>\n\n<ul>\n</ul>\n\n<ul>\n</ul>\n\n<ul>\n</ul>\n\n<p><strong>示例 1</strong></p>\n\n<p><img alt=\"\" src=\"https://s3-lc-upload.s3.amazonaws.com/uploads/2018/08/02/shadow.png\" style=\"height: 214px; width: 800px;\" /></p>\n\n<pre>\n<strong>输入:</strong>[[1,2],[3,4]]\n<strong>输出:</strong>17\n<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”)。\n</pre>\n\n<p><strong>示例&nbsp;2:</strong></p>\n\n<pre>\n<strong>输入:</strong>grid = [[2]]\n<strong>输出:</strong>5\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>[[1,0],[0,2]]\n<strong>输出:</strong>8\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>n == grid.length == grid[i].length</code></li>\n\t<li><code>1 &lt;= n &lt;= 50</code></li>\n\t<li><code>0 &lt;= grid[i][j] &lt;= 50</code></li>\n</ul>\n",
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