![\"\"](\"https://assets.leetcode.com/uploads/2021/01/04/3-boxes.png\")
You have a cubic storeroom where the width, length, and height of the room are all equal to n units. You are asked to place n boxes in this room where each box is a cube of unit side length. There are however some rules to placing the boxes:
x is placed on top of the box y, then each side of the four vertical sides of the box y must either be adjacent to another box or to a wall.Given an integer n, return the minimum possible number of boxes touching the floor.
\n
Example 1:
\n\n
\nInput: n = 3\nOutput: 3\nExplanation: 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\n\n
Example 2:
\n\n![\"\"](\"https://assets.leetcode.com/uploads/2021/01/04/4-boxes.png\")
\nInput: n = 4\nOutput: 3\nExplanation: 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\n\n
Example 3:
\n\n![\"\"](\"https://assets.leetcode.com/uploads/2021/01/04/10-boxes.png\")
\nInput: n = 10\nOutput: 6\nExplanation: 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.\n\n
\n
Constraints:
\n\n1 <= n <= 109有一个立方体房间，其长度、宽度和高度都等于 n 个单位。请你在房间里放置 n 个盒子，每个盒子都是一个单位边长的立方体。放置规则如下：
x 需要放置在盒子 y 的顶部，那么盒子 y 竖直的四个侧面都 必须 与另一个盒子或墙相邻。给你一个整数 n ，返回接触地面的盒子的 最少 可能数量。
\n\n
示例 1：
\n\n![\"\"](\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2021/01/24/3-boxes.png\")
\n输入：n = 3\n输出：3\n解释：上图是 3 个盒子的摆放位置。\n这些盒子放在房间的一角，对应左侧位置。\n\n\n
示例 2：
\n\n![\"\"](\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2021/01/24/4-boxes.png\")
\n输入：n = 4\n输出：3\n解释：上图是 3 个盒子的摆放位置。\n这些盒子放在房间的一角，对应左侧位置。\n\n\n
示例 3：
\n\n![\"\"](\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2021/01/24/10-boxes.png\")
\n输入：n = 10\n输出：6\n解释：上图是 10 个盒子的摆放位置。\n这些盒子放在房间的一角，对应后方位置。\n\n
\n\n
提示：
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