Given a set of n types of rectangular 3-D boxes, where the ith box has height hi, width wi and depth di (all real numbers). Create a stack of boxes which is as tall as possible, but you can only stack a box on top of another box if the dimensions of the 2-D base of the lower box are each strictly larger than those of the 2-D base of the higher box. It is possible to rotate a box so that any side functions as its base. It is also allowable to use multiple instances of the same type of box. Precisely define the subproblem. Provide the recurrence equation. Describe the algorithm in pseudocode to compute the optimal value. Describe the algorithm in pseudocode to print out an optimal solutio

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
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Given a set of n types of rectangular 3-D boxes, where the ith box has height hi, width wand depth di (all real numbers). Create a stack of boxes which is as tall as possible, but you can only stack a box on top of another box if the dimensions of the 2-D base of the lower box are each strictly larger than those of the 2-D base of the higher box. It is possible to rotate a box so that any side functions as its base. It is also allowable to use multiple instances of the same type of box.

Precisely define the subproblem.
Provide the recurrence equation.
Describe the algorithm in pseudocode to compute the optimal value.
Describe the algorithm in pseudocode to print out an optimal solution.

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