Package g1701_1800.s1739_building_boxes

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    1739 - Building Boxes.

    Hard

    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:

    • You can place the boxes anywhere on the floor.

    • If box 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.

    Example 1:

    Input: n = 3

    Output: 3

    Explanation: The figure above is for the placement of the three boxes. These boxes are placed in the corner of the room, where the corner is on the left side.

    Example 2:

    Input: n = 4

    Output: 3

    Explanation: The figure above is for the placement of the four boxes. These boxes are placed in the corner of the room, where the corner is on the left side.

    Example 3:

    Input: n = 10

    Output: 6

    Explanation: The figure above is for the placement of the ten boxes. These boxes are placed in the corner of the room, where the corner is on the back side.

    Constraints:

    • <code>1 <= n <= 10<sup>9</sup></code>

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description
      public class Solution.Companion

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Integer minimumBoxes(Integer n)

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait