Answered: You are given N 6-sided standard dice.…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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You are given N 6-sided standard dice. Each die has dimensions 1x1x1. You decide to stack dice. First, you form four vertical stacks of dice (not necessarily with the same height, empty stacks are allowed) on the table, which together make up a pile of dice with a base area of up to 2x2. Among all such structures, the total visible surface area of your structure must be the smallest possible. Then, you calculate the number of dots on the visible faces of all dice in the structure. A face of a die is visible if it doesn't touch the table or another die. Now, you want to compute: among all possible arrangements of N dice, what is the maximum possible total number of visible dots? Hint: Try to compute for N= 1, 2, 3, 4, 5, 6 and find a pattern. Write pseudocode for the poblem.

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