Consider a group of ♬ balls where each ball is one of k colors. You can assume that there is an equal number of balls of each color. Each ball, aside from its color, has a written integer on it. The numbers are in no way associated with the color. a) Devise an algorithm that orders all the balls according to colors in a way that no ball comes before a ball of a lighter color. In other words, how do you order balls from lightest to darkest, however, inside one group (i. e., one color), balls can be ordered in any way with respect to the number written on the ball. Design an algorithm and analyze it. b) Now take the output from (a), and also order balls within the color. How much time is needed for this step?

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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Consider a group of balls where each ball is one of k colors. You can assume
that there is an equal number of balls of each color. Each ball, aside from its color,
has a written integer on it. The numbers are in no way associated with the color.
a) Devise an algorithm that orders all the balls according to colors in a way that
no ball comes before a ball of a lighter color. In other words, how do you order
balls from lightest to darkest, however, inside one group (i. e., one color), balls can
be ordered in any way with respect to the number written on the ball. Design an
algorithm and analyze it.
b) Now take the output from (a), and also order balls within the color. How much
time is needed for this step?
Transcribed Image Text:Consider a group of balls where each ball is one of k colors. You can assume that there is an equal number of balls of each color. Each ball, aside from its color, has a written integer on it. The numbers are in no way associated with the color. a) Devise an algorithm that orders all the balls according to colors in a way that no ball comes before a ball of a lighter color. In other words, how do you order balls from lightest to darkest, however, inside one group (i. e., one color), balls can be ordered in any way with respect to the number written on the ball. Design an algorithm and analyze it. b) Now take the output from (a), and also order balls within the color. How much time is needed for this step?
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