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49 lines
2.0 KiB
HTML
49 lines
2.0 KiB
HTML
<p>You have a cubic storeroom where the width, length, and height of the room are all equal to <code>n</code> units. You are asked to place <code>n</code> boxes in this room where each box is a cube of unit side length. There are however some rules to placing the boxes:</p>
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<ul>
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<li>You can place the boxes anywhere on the floor.</li>
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<li>If box <code>x</code> is placed on top of the box <code>y</code>, then each side of the four vertical sides of the box <code>y</code> <strong>must</strong> either be adjacent to another box or to a wall.</li>
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</ul>
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<p>Given an integer <code>n</code>, return<em> the <strong>minimum</strong> possible number of boxes touching the floor.</em></p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<p><img alt="" src="https://assets.leetcode.com/uploads/2021/01/04/3-boxes.png" style="width: 135px; height: 143px;" /></p>
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<pre>
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<strong>Input:</strong> n = 3
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<strong>Output:</strong> 3
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<strong>Explanation:</strong> The figure above is for the placement of the three boxes.
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These boxes are placed in the corner of the room, where the corner is on the left side.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<p><img alt="" src="https://assets.leetcode.com/uploads/2021/01/04/4-boxes.png" style="width: 135px; height: 179px;" /></p>
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<pre>
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<strong>Input:</strong> n = 4
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<strong>Output:</strong> 3
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<strong>Explanation:</strong> The figure above is for the placement of the four boxes.
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These boxes are placed in the corner of the room, where the corner is on the left side.
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</pre>
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<p><strong class="example">Example 3:</strong></p>
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<p><img alt="" src="https://assets.leetcode.com/uploads/2021/01/04/10-boxes.png" style="width: 271px; height: 257px;" /></p>
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<pre>
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<strong>Input:</strong> n = 10
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<strong>Output:</strong> 6
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<strong>Explanation:</strong> The figure above is for the placement of the ten boxes.
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These boxes are placed in the corner of the room, where the corner is on the back side.</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>1 <= n <= 10<sup>9</sup></code></li>
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</ul>
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