How to Solve Building Boxes Problem
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Building Boxes
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...
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Understanding the Building Boxes Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
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.
Building Boxes
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Examples
n = 33The 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.
n = 43The 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.
n = 106The 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
1 <= n <= 109How Interview Coder Helps with Leetcode Problems
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Frequently Asked Questions
Common questions about solving Building Boxes and using Interview Coder during coding interviews.
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