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42 lines
1.6 KiB
HTML
42 lines
1.6 KiB
HTML
<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>
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<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>
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<p>We view the projection of these cubes onto the <code>xy</code>, <code>yz</code>, and <code>zx</code> planes.</p>
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<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 "shadow" when looking at the cubes from the top, the front, and the side.</p>
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<p>Return <em>the total area of all three projections</em>.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<img alt="" src="https://s3-lc-upload.s3.amazonaws.com/uploads/2018/08/02/shadow.png" style="width: 800px; height: 214px;" />
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<pre>
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<strong>Input:</strong> grid = [[1,2],[3,4]]
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<strong>Output:</strong> 17
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<strong>Explanation:</strong> Here are the three projections ("shadows") of the shape made with each axis-aligned plane.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> grid = [[2]]
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<strong>Output:</strong> 5
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</pre>
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<p><strong class="example">Example 3:</strong></p>
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<pre>
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<strong>Input:</strong> grid = [[1,0],[0,2]]
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<strong>Output:</strong> 8
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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>n == grid.length == grid[i].length</code></li>
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<li><code>1 <= n <= 50</code></li>
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<li><code>0 <= grid[i][j] <= 50</code></li>
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</ul>
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