Given three groups of boxes A, B, and C of n boxes each, where the shapes of
Question:
Given three groups of boxes A, B, and C of n boxes each, where the shapes of the boxes are different. The capacity of each box is measured in milliliter (ml). The list of boxes' capacities in Group A is exactly randomly repeated in Group B and C. This means that for each box in Group A there exist a corresponding box in Group B and C that hold the same capacity, but we do not know which box would match with the other in group A, B and C. Your mission is to find a smart way to match these boxes.
Output: A[1] with B[3] with C[6]
A[2] with B[6] with C[1]
A[3] with B[2] with C[4]
… and so on a)
a)Using a brute-force approach, design an algorithm to solve this problem, and analyze its complexity
b) Design a more efficient algorithm to solve this problem, and analyze its complexity [Hint: you can use any data-structure]
c) Implement your efficient algorithm using Python
d) Prepare a brief report (250 words) comparing the two algorithms
Probability And Statistics
ISBN: 9780321500465
4th Edition
Authors: Morris H. DeGroot, Mark J. Schervish