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"content": "<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>\n\n<ul>\n\t<li>You can place the boxes anywhere on the floor.</li>\n\t<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>\n</ul>\n\n<p>Given an integer <code>n</code>, return<em> the <strong>minimum</strong> possible number of boxes touching the floor.</em></p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/01/04/3-boxes.png\" style=\"width: 135px; height: 143px;\" /></p>\n\n<pre>\n<strong>Input:</strong> n = 3\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The figure above is for the placement of the three boxes.\nThese boxes are placed in the corner of the room, where the corner is on the left side.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/01/04/4-boxes.png\" style=\"width: 135px; height: 179px;\" /></p>\n\n<pre>\n<strong>Input:</strong> n = 4\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The figure above is for the placement of the four boxes.\nThese boxes are placed in the corner of the room, where the corner is on the left side.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/01/04/10-boxes.png\" style=\"width: 271px; height: 257px;\" /></p>\n\n<pre>\n<strong>Input:</strong> n = 10\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> The figure above is for the placement of the ten boxes.\nThese boxes are placed in the corner of the room, where the corner is on the back side.</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= n <= 10<sup>9</sup></code></li>\n</ul>\n",
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"Suppose We can put m boxes on the floor, within all the ways to put the boxes, what’s the maximum number of boxes we can put in?",
"The first box should always start in the corner"
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