Mina always wants things to be sorted. She loves perfection in work and doesn't worry about time. Her brother gifted her some boxes with different sizes. Now she needs your help to sort it. You're given n boxes with different sizes and your task is to sort the boxes in ascending order of size. You should recursively partition the array with a number p so that all the elements greater than p are to its right and all the elements lower than p to its left to sort the boxes. Make sure you are giving a solution that doesn't exceed the time complexity of O(n^2), but on average has complexity of O(nlogn) a. Which algorithm will you suggest to Mina? Explain if your algorithm is stable or unstable with appropriate example b. Show the step by step simulation of your algorithm on the boxes of size 5, 9, 10, 3, 15, 12, 6, 20, 9, 13, 3, 10, 1, 2. c. Give an example of box sizes when it will be worst case and when it will be the best case for this algorithm.

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
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Mina always wants things to be sorted. She loves perfection in work
and doesn't worry about time. Her brother gifted her some boxes
with different sizes. Now she needs your help to sort it.
You're given n boxes with different sizes and your task is to sort
the boxes in ascending order of size. You should recursively
partition the array with a number p so that all the elements
greater than p are to its right and all the elements lower than p to
its left to sort the boxes. Make sure you are giving a solution that
doesn't exceed the time complexity of O(n^2), but on average has
complexity of O(nlogn)
a. Which algorithm will you suggest to Mina? Explain if your
algorithm is stable or unstable with appropriate example
b. Show the step by step simulation of your algorithm on the
boxes of size 5, 9, 10, 3, 15, 12, 6, 20, 9, 13, 3, 10, 1,
2.
c. Give an example of box sizes when it will be worst case and
when it will be the best case for this algorithm.
Transcribed Image Text:Mina always wants things to be sorted. She loves perfection in work and doesn't worry about time. Her brother gifted her some boxes with different sizes. Now she needs your help to sort it. You're given n boxes with different sizes and your task is to sort the boxes in ascending order of size. You should recursively partition the array with a number p so that all the elements greater than p are to its right and all the elements lower than p to its left to sort the boxes. Make sure you are giving a solution that doesn't exceed the time complexity of O(n^2), but on average has complexity of O(nlogn) a. Which algorithm will you suggest to Mina? Explain if your algorithm is stable or unstable with appropriate example b. Show the step by step simulation of your algorithm on the boxes of size 5, 9, 10, 3, 15, 12, 6, 20, 9, 13, 3, 10, 1, 2. c. Give an example of box sizes when it will be worst case and when it will be the best case for this algorithm.
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